Shmita & Year-Cycles (שמיטה) (安息年)

SHMITA — the sabbatical year: every seventh Hebrew year the Land rests — fields fallow, produce hefker, debts released at the close (shmitat kesafim, bridged since Hillel the Elder by the pruzbul) — still shaping Israeli agriculture, banking and the produce aisle. Plus BIRKAT HACHAMA, the blessing of the sun said once every twenty-eight years when by Shmuel's reckoning the sun returns to its creation station (last 8 April 2009; next 8 April 2037). THE ARITHMETIC RIDES THE VERIFIED HEBREW ENGINE (molad + dechiyot): shmita is h ≡ 0 (mod 7), ANCHORED at load to the universally documented 5782 — whose Rosh Hashanah 2021-09-07 the engine must reproduce — and the published 5789 next, seven-year spacing asserted across a century; the birkat series' arithmetic class (≡ 2009 mod 28) anchored to the full published run 1897–2065 with the 1897 drift note kept. THE HONESTY RAILS: the modern observance spectrum (heter mechira, otzar beit din, imports) is NAMED as the living range with no ruling implied, and YOVEL — the Jubilee — is DISCLOSED, NOT COMPUTED: its count lapsed with the exiles and restoring it is a live dispute this catalogue will not adjudicate. Returns cycle position, both cycles' spans and countdowns. Kabbalistic becomes 5. Pure compute, no LLM.

Cost: 1 TIAN Points per call. tRPC procedure shmita.cycle.