Balinese Otonan (Pawukon Birthday) (峇里島奧托南)

THE BALINESE OTONAN — the Pawukon birthday: every 210 days, the exact combination of one's birth returns (the same saptawara, the same pancawara, the same wuku) and Balinese families mark it with offerings — traditionally THE birthday, older and weightier than the solar one. A person born on Buda Kliwon Dungulan keeps their otonan every Galungan, for life. RIDES THE VERIFIED PAWUKON ENGINE — same cycle arithmetic, same self-validating Galungan anchor — with this engine's label derivation CROSS-LOCKED to that anchor at load, the 210-day recurrence identity asserted (and the half-cycle proven NOT to recur the state: 210 = 2·3·5·7 is the least common return, served as the theorem it is), and the TUMPEK congruence (a Saniscara Kliwon birth ⇔ cycle position ≡ 13 mod 35) checked exhaustively over the whole cycle. Serves the birth day's pawukon identity, otonans completed, days until the next, and the upcoming otonan dates — flagged when the birth combination is itself a Tumpek or Kajeng Kliwon day. THE DISCLOSURES: the infant's 105-day telu bulanan is a DIFFERENT rite, not the first otonan — named so the two are never conflated — and what is offered at the family temple belongs to each household; this endpoint computes the day and prescribes nothing. Indonesian becomes four systems. Pure compute, no LLM.

Cost: 1 TIAN Points per call. tRPC procedure otonan.dates.