US WIC participation, May 2026

Framing and exact resolver: this is the USDA FNS WIC national Total Participants series for May 2026, not seasonally adjusted, resolved on the first official print from the WIC monthly program-data tables. The FNS WIC page is the exact series page; the target is a first-print value, so later revisions are excluded.

Base rate/reference class: for the same WIC total-participation variant, the three fetched May observations were 6.696739 million in 2023, 6.763710 million in 2024, and 6.894610 million in 2025. The three historical November-to-May moves were +0.300006 million from Nov 2022 to May 2023, +0.139673 million from Nov 2023 to May 2024, and +0.065289 million from Nov 2024 to May 2025.

Level and momentum: the clean May-to-May trend points upward, with May 2025 above May 2024 by 0.130900 million and May 2024 above May 2023 by 0.066971 million. The latest initial November 2025 level is unusually low relative to October 2025, so I discount a pure Nov 2025 persistence forecast and treat part of the drop as reporting/timing or temporary churn risk rather than a permanent level shift.

Policy and mechanism: WIC participation is driven by categorical eligibility, income eligibility, state administration, births/young-child caseload, and take-up. I do not see a May 2026 core-program policy change in the fetched official tables; proposed FY2027 benefit changes would begin after this May target, so they are not a direct level cut for this observation.

Prior/update/interval: persistence prior uses the historical Nov-to-May reference class from fetched FNS monthly totals: changes were 0.300006, 0.139673, and 0.065289 million, average = 0.168323, so Nov 2025 initial 6.752138 + 0.168323 = 6.920461 million. May-trend prior uses May 2025 plus average of the two May-to-May gains: 6.894610 + ((0.066971 + 0.130900)/2) = 6.993546 million. I weight the persistence prior about 45% and the May-trend prior about 55%, then apply a small caution for the weak Nov 2025 first print, giving 6.960 million. Horizon-matched dispersion from the three Nov-to-May changes gives sigma = 0.119953 million; 1.28*sigma = 0.1535 million, rounded to 0.154. The three-observation volatility sample is thin, so this 80% interval is approximate, but it remains tied to the realized same-series dispersion: 6.960 - 0.154 = 6.806 and 6.960 + 0.154 = 7.114 million.

Counter-considerations: upside risk is a rebound from the depressed November 2025 initial count plus stronger child caseload growth, which would land above the interval if May first print exceeds 7.114 million. Downside risk is a persistent administrative or funding disruption carrying through spring 2026, or a genuine caseload drop rather than a temporary November print, which would land below the interval if May first print is under 6.806 million. Outside the interval would therefore require either a larger-than-historical spring rebound or a continuation of the November 2025 shock.

Review disposition: accepted the resolver critique by making the operational conversion unambiguous for whole-person FNS table values while preserving the ledger factor note; accepted the source-date critique by removing the inconsistent date from the latest-month evidence summary; also accepted the optional interval-sample and weighting clarifications.

The resolver is the monthly national-level WIC table's Total Participants column, not annual quality-control material or a state table. The FNS release-calendar schedule verified the target's 2026-08-14 resolution date. The source variant is the unadjusted monthly national-level total-participant series; all anchors below use that same table.

The reference class/base rate is recent May-to-May growth in this exact national monthly series: +0.067 million from May 2023 to May 2024 and +0.131 million from May 2024 to May 2025, for a two-change mean of +0.099 million. I use that seasonal persistence prior rather than extrapolating November's seasonal decline directly.

Prior/update/interval: persistence-plus-May-seasonality model using the two historical May-over-May changes (+0.067 and +0.131 million) implies 6.895 + 0.099 = 6.994 million, rounded to a 6.995 million point after modest support from the FY 2025 level. From the FY 2025 successive monthly changes in the fetched table, sigma = 0.041 million; 1.28*sigma = 0.052 million. The 80% interval is therefore 6.995 +/- 0.052 = [6.943, 7.047] million. No widening is applied because the historical May trend and recent annual level point in the same direction.

upside risk is continued enrollment expansion at the stronger 2024-to-2025 May pace, which could put May 2026 above 7.047 million. downside risk is a durable rather than seasonal post-October enrollment contraction, which could put it below 6.943 million. A large reporting or eligibility-policy discontinuity would land outside the interval.

The target is the FNS national monthly Total Participants series, not a fiscal-year quality-control or annual average measure. The source table is the unadjusted monthly national WIC participation table; all anchors below use that same Total Participants variant.

The base rate/reference class is the same national monthly total series: May rose by 0.067 million year over year in 2024 and 0.131 million in 2025, while the latest 2026 level is materially below March 2025. I therefore use the recent 2026 level and the historical March-to-May pattern rather than extrapolating the earlier annual acceleration.

Prior/update/interval: A seasonal-persistence prior starts from March 2026 at 6.702 million; the 2023-25 March-to-May increases average (0.075+0.083+0.044)/3 = 0.067 million. A downward momentum adjustment of 0.004 million for the weaker late-2025/early-2026 level gives 6.702+0.067-0.004 = 6.765 million. From the 11 successive monthly changes from April 2025 through March 2026, sigma = 0.050 million; 1.28*sigma = 0.064 million, so the 80% bounds are 6.765-0.064 = 6.701 and 6.765+0.064 = 6.829 million.

Upside risk is a renewed enrollment or retention increase that recreates the 2024-25 year-over-year gains; downside risk is continued weakness in women, infant, and child enrollment after the late-2025 fall. A sustained administrative or policy shock would land outside the interval, above 6.829 or below 6.701 million.

The official FNS release schedule was checked for the August 14, 2026 release window. Resolution remains strict first print: use the first FNS posting containing the May 2026 national total, convert the whole-person display to millions, and do not substitute later revisions.

The resolver is the unadjusted monthly national WIC Total Participants table, not an annual quality-control or eligibility estimate. The FNS WIC Data Tables page identifies the monthly national table; the value is a displayed person count converted to millions. The official FNS release-calendar lookup schedules the May 2026 program-data posting for 2026-08-14, which verifies the target resolution date.

The reference class/base rate is recent May-to-May national participation growth: the two observed gains average 98,936 participants, or 0.099 million. This uses the same monthly-national Total Participants variant throughout.

Prior/update/interval: persistence-plus-seasonal-year-over-year prior using the May 2023-25 historical sample; adjustment components are the +0.099 million average May-to-May gain, no discrete policy-level adjustment, and modest first-print/reporting uncertainty. Applying 6.895 + 0.099 gives 6.994 million. From the fetched 2025 successive monthly changes, sigma = 0.062 million; 1.28*sigma = 0.079 million. The six-month forecast horizon and the unusually large Oct-to-Nov movement justify widening the half-width to 0.115 million (1.46x), giving 6.879 to 7.109 million.

upside risk: faster enrollment uptake or a stronger spring rebound would land above the interval. downside risk: weaker retention, administrative disruption, or an unusually low first print would land below the interval. A May print outside the interval would falsify the persistence-plus-recent-May-growth assumption.

Derived run: the pointwise median of the CDFs of 3 independent thesis.analyst fast rollouts on this target — median prediction sampling per Turtel et al. 2025 (arXiv:2505.17989). No new model call; this run is a deterministic aggregate of the recorded rollouts at 2026-07-10T15:40:26Z, 2026-07-10T15:44:49Z, 2026-07-10T15:48:42Z. Drivers and resolver fields mirror the rollout closest to the median.

Median CDF quantiles: q10 = 6.879, q50 = 6.994, q90 = 7.048. Constituent points [6.995, 6.765, 6.994] with 80% widths [0.104, 0.128, 0.23]; the median interval inherits the central rollout mass rather than averaging tails.

Framing and exact resolver: this is the USDA FNS national monthly WIC Total Participants series for May 2026, first official print only, converted from whole persons to millions. I use the WIC Data Tables page and the national monthly WIC Participation and Costs table for the same national monthly variant; annual summaries are context only, not the resolution vintage.

Reference class and base rate: recent same-variant May totals rose from 6.697 million in May 2023 to 6.764 million in May 2024 to 6.895 million in May 2025, but the latest first-print official observation, November 2025 at 6.752 million, was 1.1% below November 2024. A simple base rate is therefore May 2025 adjusted down roughly 0.5%-1.0%, with only partial recovery from the low November initial print.

Prior/update/interval: persistence prior = May 2025 level of 6.895 million, historical sample = monthly USDA FNS national WIC totals from Oct 2022 through Nov 2025, adjustment components = -0.060 million for weaker latest year-over-year level, +0.015 million as a small judgmental spring adjustment after a low initial November, giving 6.850 million. Using successive monthly changes from the fetched history, sigma = 0.054 million, so 1.28*sigma = 0.069 million. I widen to a ladder-implied 80% half-width of 0.120 million, 1.74x the one-step half-width, because the target is six months beyond the latest available first print and November 2025 showed an unusually large -0.157 million one-month change.

Ladder: P(X <= 6.640) = 0.03; P(X <= 6.680) = 0.06; P(X <= 6.710) = 0.085; P(X <= 6.730) = 0.10; P(X <= 6.760) = 0.17; P(X <= 6.790) = 0.27; P(X <= 6.820) = 0.39; P(X <= 6.850) = 0.50; P(X <= 6.880) = 0.62; P(X <= 6.910) = 0.73; P(X <= 6.940) = 0.83; P(X <= 6.970) = 0.90; P(X <= 7.010) = 0.96. Linear interpolation gives the 10th percentile 6.730, median 6.850, and 90th percentile 6.970 million, so the 80% interval is the threshold-ladder 10th-to-90th percentile range.

Counter-considerations: upside risk is a rebound from the unusually low November 2025 initial print plus normal spring enrollment strength, which would land above the interval if May 2026 prints above 6.970 million. Downside risk is that the November drop reflects a durable eligibility, outreach, or reporting decline; a continuation below roughly 6.730 million would land outside the interval on the low side.

Review disposition: accepted the optional clarity fixes by stating that official monthly data used here run only through November 2025, recasting the seasonal lift as a small judgmental adjustment from a short reference class, and naming the ladder 10th-to-90th percentile as the 80% interval; no reviewer-required fixes were present.

Framing and exact resolver: this is the USDA FNS WIC national Monthly Data Total Participants series, not state-level detail, not annual fiscal-year average participation, and not a revised final vintage. The target unit is millions, so the first-print whole-person count for May 2026 will be divided by 1,000,000 and rounded to 0.001 million.

Base rate/reference class: using the same national Total Participants variant, recent May levels were 6.697 million in 2023, 6.764 million in 2024, and 6.895 million in 2025, while the latest observed November 2025 level was 6.752 million. Prior Nov-to-May moves were +0.300 million from Nov 2022 to May 2023, +0.140 million from Nov 2023 to May 2024, and +0.065 million from Nov 2024 to May 2025, so I anchor on a positive but smaller seasonal rebound from the depressed November 2025 print.

Prior/update/interval: persistence prior from latest Nov 2025 is 6.752 million; seasonal reference-class adjustment uses the shrinking Nov-to-May rebound, adding about +0.090 million rather than the full three-cycle mean of +0.168 million, giving 6.842 million. For interval sizing, successive monthly changes from Oct 2024 through Nov 2025 are -0.078, -0.045, +0.038, -0.021, +0.049, +0.026, +0.017, -0.011, +0.040, -0.028, +0.026, -0.013, -0.157 million, so sigma = 0.057 million and 1.28*sigma = 0.073 million. I widen to 0.100 million because the target is six unobserved months ahead and the latest observation included a large November drop, implying final bounds 6.842 - 0.100 = 6.742 and 6.842 + 0.100 = 6.942.

Level and momentum adjustment: the May-to-May trend was positive through 2025, but November 2025 was 0.077 million below November 2024 and 0.157 million below October 2025. That argues against simply extrapolating May 2025 upward, while the prior three Nov-to-May recoveries argue against treating November 2025 as the May 2026 level.

Counter-considerations: upside risk would land above the interval if the November 2025 drop is mostly reporting timing and participation returns near the July-September 2025 range around 6.90-6.92 million plus normal spring lift. Downside risk would land below the interval if FY 2026 participation keeps falling after November or if administrative disruption suppresses certifications through spring 2026. An outside the interval print below 6.742 million would require little seasonal rebound from November 2025 or another large monthly decline before May.

Framing and exact resolver: this is USDA FNS WIC national Total Participants, not SNAP, not annual WIC quality-control data, and not a revised annual summary. The target resolves on the first official FNS monthly WIC table that first includes May 2026, using the national total participants count converted to millions.

Base rate/reference class: the recent official-source reference class is the prior November-to-May movement in national WIC total participation. The fetched November-to-May changes were +0.300006 million from Nov 2022 to May 2023, +0.139673 million from Nov 2023 to May 2024, and +0.065289 million from Nov 2024 to May 2025, so a positive seasonal lift is normal but has been shrinking as participation flattened.

Prior/update/interval: persistence prior starts from the latest official November 2025 initial value of 6.752138 million. The historical Nov-to-May base-rate average is +0.168 million, but the sequence has decelerated from +0.300 to +0.140 to +0.065 million, so I use a conservative +0.068 million update: 6.752 + 0.068 = 6.820 million. For uncertainty, using the three fetched Nov-to-May changes, sigma = 0.120 million; 1.28*sigma = 0.154 million, giving 6.820 +/- 0.154 = [6.666, 6.974].

Counter-considerations: upside risk is a cleaner rebound from the weak November 2025 initial print or stronger enrollment retention, which would land above the interval if May 2026 exceeds about 6.974 million. Downside risk is continued attrition or first-print under-reporting similar to the November 2025 drop, which would land below the interval if May 2026 is under about 6.666 million. A large funding or reporting disruption would be the main outside the interval scenario.

Framing and exact resolver: this is the USDA FNS WIC Program national Total Participants series, first official May 2026 monthly print, displayed as persons and converted to millions. I am using the same first-print national variant for anchors where available; annual summaries and later revisions are context only, not the resolution value. The official FNS release calendar was checked this run for the May 2026 WIC monthly release date, matching 2026-08-14.

Reference class and base rate: the cleanest reference class is national WIC monthly Total Participants around the same spring months. May seasonality has been positive in recent years: Mar-to-May was +75,428 in 2023, +82,736 in 2024, and +43,774 in 2025, averaging +67,313 participants, while the latest Mar 2026 level is materially below Mar 2025.

Prior/update/interval: persistence prior = Mar 2026 initial 6.701661 million; seasonal update = average Mar-to-May lift of (0.075428 + 0.082736 + 0.043774)/3 = 0.067313 million; trend/policy adjustment = -0.010 million for the -2.2% YoY latest print and weak winter level; point = 6.701661 + 0.067313 - 0.010 = 6.758974, rounded to 6.759. For the 80% interval, recent official monthly successive-change dispersion gives sigma = 0.066 million; half-width = 1.28*sigma = 0.084 million, so 6.759 +/- 0.084 gives 6.675 to 6.843.

Counter-considerations: upside risk would be a faster spring rebound in large states such as California, Texas, New York, or Florida that pushes May above the usual seasonal lift and would land above the interval. Downside risk would be continued enrollment attrition, reporting disruptions, or state-level administrative tightening that keeps May near the weak February-March level and would land below the interval. Outside the interval would require roughly more than 84,000 participants above or below this adjusted seasonal path.

Derived run: the pointwise median of the CDFs of 3 independent thesis.analyst fast rollouts on this target — median prediction sampling per Turtel et al. 2025 (arXiv:2505.17989). No new model call; this run is a deterministic aggregate of the recorded rollouts at 2026-07-10T16:29:32Z, 2026-07-10T16:41:06Z, 2026-07-10T16:53:08Z. Drivers and resolver fields mirror the rollout closest to the median.

Median CDF quantiles: q10 = 6.674, q50 = 6.82, q90 = 6.943. Constituent points [6.842, 6.82, 6.759] with 80% widths [0.2, 0.308, 0.168]; the median interval inherits the central rollout mass rather than averaging tails.

The target is USDA FNS Table 21 national WIC Total Participation for May 2026, measured as people issued benefits during the calendar month. This forecast uses the first posted monthly value, converted from people to millions; subsequent revisions are excluded.

The outside-view reference class is successive monthly changes in the official Table 21 national total from October 2023 through May 2025. Its base rate is small month-to-month movement around a slowly changing level, with May 2025 about 0.131 million above May 2024 but November 2025 initial about 0.142 million below October preliminary.

Level and momentum are separated as follows: the level anchor is roughly 6.85 million; the earlier year-over-year rise contributes a modest positive adjustment, while late-2025 weakness contributes a negative adjustment. No discrete May 2026 eligibility or benefit-policy shock is evident; FY 2026 cash-value benefit adjustments are treated as broadly supportive rather than a large caseload mechanism.

Prior/update/interval: A persistence/local-level prior centered near 6.85 million uses the 19 successive changes from the fetched October 2023–May 2025 Table 21 history. Their realized standard deviation is approximately sigma = 0.047 million, so a normal 80% half-width is 1.28*sigma = 1.28*0.047 = 0.060 million. The update combines +0.025 million for the earlier year-over-year rise, -0.015 million for late-2025 weakness, and no large policy shock, giving a central value near 6.86 million. The ladder implies bounds of 6.760–6.940, a 0.090-million average half-width, 1.50 times the sigma half-width; this widening reflects first-print state-reporting noise and uncertainty about whether the November weakness persists.

Ladder: P(X <= 6.700) = 0.03; P(X <= 6.730) = 0.06; P(X <= 6.760) = 0.10; P(X <= 6.790) = 0.16; P(X <= 6.820) = 0.25; P(X <= 6.840) = 0.38; P(X <= 6.860) = 0.50; P(X <= 6.880) = 0.62; P(X <= 6.900) = 0.73; P(X <= 6.920) = 0.82; P(X <= 6.940) = 0.90; P(X <= 6.970) = 0.96; P(X <= 7.000) = 0.98. Linear interpolation gives the median 6.860, 10th percentile 6.760, and 90th percentile 6.940 million.

Upside risk comes from renewed outreach, retention, or normalization after the weak November initial print and could put participation above 6.940 million. Downside risk comes from continued caseload attrition or incomplete first-print state reporting and could put it below 6.760 million. A major reporting disruption or abrupt eligibility-policy effect would land outside the interval.

Review disposition: Accepted the adapter-unit clarification: the 0.001 factor applies only to an intermediate value in thousands, while a displayed whole-person count is divided by 1,000,000. The optional expansion of all 20 historical observations was not added because the draft's public source, sample window, sample size, and calculated sigma already identify the calibration basis without introducing new evidence.

The target is the unadjusted national Total Participants series in the USDA FNS WIC monthly table, not an annual fiscal-year quality-control measure. Resolution uses the first May 2026 posting and converts persons to millions.

The outside-view reference class is the official national monthly series. Its base rate shows May rising by 0.067 million from 2023 to 2024 and by 0.131 million from 2024 to 2025, while FY2025 averaged 6.866095 million versus 6.704329 million in FY2024.

Level and momentum are separated as follows: the May 2025 level supplies the seasonal anchor; the two-year May momentum is positive; October 2025 was nearly flat against that anchor; and the November 2025 initial decline is treated mainly as reporting noise rather than a persistent policy effect.

Prior/update/interval: persistence prior = May 2025 at 6.894610 million; historical sample = the 12 successive official monthly changes from October 2024 through October 2025; adjustments = +0.025 million for the positive May reference-class trend, -0.010 million for weak late-2025 momentum, and 0.000 million for identified policy effects, giving 6.910 million after rounding. The sample standard deviation of those successive changes is sigma = 0.039 million, so the 80% normal half-width is approximately 1.28*sigma = 1.28*0.039 = 0.050 million, implying bounds of 6.910-0.050 = 6.860 and 6.910+0.050 = 6.960 million.

Upside risk comes from continued child-participation growth and stronger retention, which could put the print above 6.960 million. Downside risk comes from broad caseload attrition or incomplete state reporting; a repeat of the November 2025 initial-report disruption would land below the interval.

The target is the first national monthly WIC Total Participants print for May 2026. The series is a calendar-month, not seasonally adjusted FNS-798 participation count; the official table identifier is the WIC Monthly Data—National Level table. Resolution preserves the ledger's strict first-print rule and converts persons to millions.

The reference class and base rate are the three prior March-to-May moves: +0.075428 million in 2023, +0.082736 million in 2024, and +0.043774 million in 2025, averaging +0.067313 million. However, the latest year-over-year level change is materially negative: March 2026 was 0.149175 million below March 2025.

Prior/update/interval: The persistence prior is May 2025's 6.894610 million adjusted by the March year-over-year change of -0.149175 million, giving 6.745435 million, rounded to 6.745. The historical sample is the 12 successive monthly changes from March 2025 through March 2026 in the official national table. Their sample standard deviation is sigma = 0.049 million, so the 80% half-width is approximately 1.28*sigma = 1.28*0.049 = 0.0627 million. Applying that to 6.745 gives 6.6823 to 6.8077, rounded outward to final bounds of 6.683 and 6.808 million. The seasonal March-to-May increase is acknowledged but not added separately because the year-over-year persistence construction already compares like months and avoids double-counting seasonality.

An upside risk is a return to the 2023-2025 March-to-May gains alongside stabilization in child participation, which could land above 6.808 million. A downside risk is continued attrition in women and infant participation or reporting disruption comparable to late 2025, which could land below 6.683 million. Either outcome would be outside the interval.

The target is the first USDA FNS national monthly WIC Total Participants print for May 2026, measured as certified individuals issued food benefits during that calendar month. The WIC national monthly table is the exact series; no seasonal adjustment or alternative eligibility measure is used.

The reference class and base rate are monthly national WIC participation prints. The 2025 spring sequence rose from 6.851 million in March to 6.876 million in April and 6.890 million in May, while the later December 2025 level was lower at 6.695 million. A persistence-plus-seasonality forecast therefore starts near the recent 6.7-million regime and adds a modest spring lift.

Level effect: anchor near 6.70 million from the late-2025 regime. Momentum effect: participation had declined from 6.908 million in October 2024 to 6.695 million in December 2025. Seasonal effect: March-to-May 2025 added about 0.039 million. Policy/one-off effect: no quantified nationwide May 2026 eligibility or benefit-issuance discontinuity is added, so the adjustment is deliberately small.

Prior/update/interval: persistence prior = 6.695 million from December 2025; historical sample = October 2024 through May 2025 official monthly totals; adjustments = +0.039 million spring pattern and +0.016 million partial normalization, giving 6.750 million. Successive changes in that sample were -0.078, -0.045, +0.036, -0.020, +0.050, +0.026, and +0.013 million; their realized standard deviation is sigma = 0.045 million. The 80% half-width is approximately 1.28*sigma = 1.28*0.045 = 0.058 million, implying 6.750 ± 0.058 = [6.692, 6.808].

Upside risk: stronger outreach, recertification retention, or a broad rise in adjunct eligibility would land above 6.808 million. Downside risk: continued caseload attrition, delayed state reporting, or administrative disruptions would land below 6.692 million. Either outcome would be outside the interval and falsify the assumed stable spring regime.

Derived run: the pointwise median of the CDFs of 3 independent thesis.analyst fast rollouts on this target — median prediction sampling per Turtel et al. 2025 (arXiv:2505.17989). No new model call; this run is a deterministic aggregate of the recorded rollouts at 2026-07-10T17:22:38Z, 2026-07-10T17:28:34Z, 2026-07-10T17:33:53Z. Drivers and resolver fields mirror the rollout closest to the median.

Median CDF quantiles: q10 = 6.691, q50 = 6.75, q90 = 6.808. Constituent points [6.91, 6.745, 6.75] with 80% widths [0.1, 0.125, 0.116]; the median interval inherits the central rollout mass rather than averaging tails.

Framing and exact resolver: this is the national USDA FNS WIC Total Participants monthly table value for May 2026, not annual fiscal-year WIC participation and not a quality-control release. The target unit is millions, so the FNS person count is divided by 1,000,000 and rounded to 0.001 million. I keep the strict first-print policy and do not add a same-day correction or revision grace rule.

Reference class and base rate: the most relevant reference class is recent national WIC monthly first prints on the same FNS WIC table. The Nov 2025 initial count was 1.1% below Nov 2024, while May 2025 was 6.895 million; applying roughly the recent year-over-year softness to the May seasonal anchor gives an outside-view base rate near 6.82 million before current-policy adjustments.

Level, momentum, and mechanism: the level anchor is May 2025 at 6.895 million, the latest observed initial level is lower at 6.752 million in November 2025, and the six-month seasonal path from November to May is usually not a large structural break. I make a modest downward update for reported year-over-year softness and administrative/funding uncertainty, partly offset by normal eligibility continuity and the tendency for WIC caseloads to be sticky month to month. The October 2025 value is preliminary, so I use it as context for current level rather than as a final-resolution analogue.

Prior/update/interval: model prior = simple same-month persistence/seasonal-drift model, with base prior = May 2025 same-month value of 6.894610 million; historical sample = fetched FNS latest-month totals of 6.829321 million for Nov 2024, 6.909050 million for Oct 2025 preliminary, and 6.752138 million for Nov 2025 initial; adjustment components = about -0.075 million for recent year-over-year softness, -0.020 million for funding/administrative risk, and -0.010 million for first-print noise/momentum, implying a center near 6.79 million. The interval method is the threshold ladder below, with rung span anchored by the fetched 6.752138 latest initial, 6.909050 prior-month preliminary, and 6.894610 May same-month values plus allowance for first-print and policy disruption; the derived 6.583-7.010 range has an approximate 80% half-width of 0.214 million, wider than the recent 0.157 million anchor spread to cover normal first-print noise plus administrative and funding risk.

Ladder: P(X <= 6.500) = 0.05; P(X <= 6.600) = 0.11; P(X <= 6.650) = 0.18; P(X <= 6.700) = 0.30; P(X <= 6.750) = 0.42; P(X <= 6.800) = 0.52; P(X <= 6.850) = 0.63; P(X <= 6.900) = 0.73; P(X <= 6.950) = 0.82; P(X <= 7.000) = 0.89; P(X <= 7.050) = 0.94; P(X <= 7.150) = 0.98. Linear interpolation gives 10th percentile at 6.583, median at 6.790, and 90th percentile at 7.010.

Counter-considerations: upside risk is a rebound in certification or state reporting that puts May 2026 back near or above 7.05 million, which would land above the interval. Downside risk is a funding, enrollment, or administrative shock that keeps caseload near 6.5 million or below; that would land outside the interval on the low side.

Review disposition: accepted the interval-method critique by adding a quantitative 80% half-width justification, accepted the clarification that Oct 2025 is preliminary context rather than a final-resolution analogue, and accepted the labeling of the prior as a simple same-month persistence/seasonal-drift model rather than a formal time-series fit.

The target is the first USDA FNS national monthly-table print of Total Participants for May 2026, not an annual average, eligibility estimate, revised value, or state-only measure. The official table has no separate seasonal adjustment. The displayed person count is converted to millions and rounded to 0.001.

The reference class is the same-series March-to-May movement: +75,428 in 2023, +82,736 in 2024, and +43,774 in 2025. Its median increase is 75,428. Applying that base rate to March 2026 gives 6,777,089, while the May year-over-year decline implied by that anchor is about 1.7%.

Prior/update/interval: The persistence prior is March 2026 participation of 6.701661 million, with the historical sample consisting of the fetched 2023-2025 March-to-May changes. A formal time-series model is unsuitable because only three directly comparable March-to-May first-print changes were fetched and the latest observations are preliminary, making parameter estimates unstable. I add the median seasonal change of 0.075428 million and make no separate level adjustment because current weakness is embedded in March. The resulting 6.777089 million anchor rounds to 6.777 million; the ladder's coarser elicited median is 6.780 million, a 0.003 million difference representing negligible centering and print-grid rounding rather than a new substantive adjustment. Reporting incompleteness and variation across the three seasonal changes broaden the ladder, which implies final 80% bounds of 6.650 to 6.900 million.

An upside risk is a stronger spring enrollment rebound, outreach effect, or delayed state reporting that would push participation toward or above 6.900 million. A downside risk is continued caseload attrition or incomplete first-print state submissions; an unusually broad decline would land below the interval at 6.650 million.

Ladder: P(X <= 6.58) = 0.03; P(X <= 6.62) = 0.06; P(X <= 6.65) = 0.10; P(X <= 6.68) = 0.16; P(X <= 6.71) = 0.24; P(X <= 6.74) = 0.34; P(X <= 6.78) = 0.50; P(X <= 6.81) = 0.62; P(X <= 6.84) = 0.73; P(X <= 6.87) = 0.82; P(X <= 6.90) = 0.90; P(X <= 6.94) = 0.95; P(X <= 6.98) = 0.98. Linear interpolation gives the 10th percentile at 6.650, median at 6.780, and 90th percentile at 6.900.

Review disposition: Accepted both requested fixes by explicitly ruling out a formal time-series model given the short preliminary sample and explaining the 0.003 million difference between the seasonal anchor and elicited median. Also accepted the suggestion to connect reporting and policy-mechanism uncertainty to the ladder width.

The resolver is the national WIC Total Participants series, calendar-month May 2026, using the first official print or the latest-month table that first includes May. The FNS WIC Data Tables page is the series table page; displayed person counts are converted to millions and rounded to 0.001 million.

Base rate/reference class: the fetched same-variant national total-participants observations range from 6.752 to 6.909 million, a 0.157 million span, with 6.829 million in November 2024 as the central level anchor. These are monthly total-participants prints, not annual WIC quality-control data or a smoothed series.

Prior/update/interval: the time-series model choice is a persistence prior centered near the 6.829 million reference-class level, using November 2024 6.829, October 2025 6.909, and November 2025 initial 6.752 million. I do not claim a May seasonal recovery from this evidence; 6.840 is a persistence-based judgment between the recent low print and prior level. The 6.75–6.95 ladder width reflects the observed 0.157 million range and the 0.157 million October-to-November first-print movement, with additional administrative first-print uncertainty.

Ladder: P(X <= 6.70) = 0.02; P(X <= 6.72) = 0.04; P(X <= 6.75) = 0.10; P(X <= 6.78) = 0.18; P(X <= 6.80) = 0.28; P(X <= 6.82) = 0.39; P(X <= 6.84) = 0.50; P(X <= 6.86) = 0.61; P(X <= 6.89) = 0.72; P(X <= 6.92) = 0.82; P(X <= 6.95) = 0.90; P(X <= 6.98) = 0.95; P(X <= 7.02) = 0.98. Linear interpolation gives 10th percentile at 6.75, median at 6.84, and 90th percentile at 6.95 million.

Upside risk: stronger enrollment or an unusually high state-reporting month could lift May above 6.95 million. Downside risk: continued enrollment attrition or unusually low state reporting could push it below 6.75 million. A broad administrative disruption or an unusually large reporting discontinuity would land outside the interval.

Review disposition: accepted the resolver clarification, explicitly labeled the persistence prior, removed the unsupported seasonal-recovery claim, and quantified the ladder-width basis using the fetched 0.157 million historical range and October-to-November movement.

The target is the unadjusted national WIC Total Participants value for May 2026 in the first official FNS monthly table that includes that month. The resolver uses the displayed whole-person count converted to millions and rounded to 0.001; May 2025 is explicitly 6,894,610 participants.

The official release-window contract places the first May 2026 print in the 2026-08-07 through 2026-08-15 window and sets resolutionDate to 2026-08-14; I retain that ledger date rather than inferring a date from cadence. The FNS table identifies FY 2026 observations as preliminary and subject to revision, while this target resolves only the first print.

The reference class is the fetched May observations of 6.696739 million in 2023, 6.763710 million in 2024, and 6.894610 million in 2025, supplemented by June-November 2025 observations from 6.752138 to 6.923326 million. The base rate is gradual year-over-year growth with month-to-month noise.

Dispersion supports a broad first-print interval: the sample standard deviation of the three May observations is approximately 0.101 million, while the six June-November 2025 observations have standard deviation approximately 0.064 million. The ladder's 10th-to-90th span of 0.241 million is wider than ordinary recent monthly variation to account for preliminary reporting uncertainty and the limited seasonal sample.

Level and momentum point modestly higher: May participation rose from 6.696739 million to 6.763710 million to 6.894610 million across 2023-2025, and June-October 2025 clustered near 6.9 million. November's lower 6.752138 million observation tempers the update, but is outweighed by the repeated 6.883200-6.923326 million readings and the May seasonal reference class. No separate policy shock is assumed.

Prior/update/interval: use a persistence-plus-trend prior centered near the latest 6.9 million level, informed by the three-year May reference class; update upward for the 2023-2025 May increase and recent 6.923326 million July observation, tempering it with November's 6.752138 million value, then widen for preliminary first-print noise. The threshold ladder implies an interval from 6.814 million to 7.055 million.

Ladder: P(X <= 6.75) = 0.04; P(X <= 6.8) = 0.08; P(X <= 6.85) = 0.15; P(X <= 6.9) = 0.25; P(X <= 6.93) = 0.35; P(X <= 6.95) = 0.5; P(X <= 6.97) = 0.62; P(X <= 7.0) = 0.75; P(X <= 7.03) = 0.85; P(X <= 7.07) = 0.93. Linear interpolation gives 10th percentile at 6.814, median at 6.950, and 90th percentile at 7.055.

Downside risk is a first print below 6.814 million from weaker enrollment or delayed state reporting. Upside risk is a participation surge above 7.055 million from stronger spring enrollment or reporting catch-up. A materially different administrative count or revision would land outside the interval.

Review disposition: accepted the critique by adding quantified May and recent-month dispersion and explaining why the ladder is wider than ordinary monthly volatility; accepted the consistency suggestion by adding November 2025 to historicalContext and clarifying its moderating role.