{ "family": "HAVEN", "status": "H-1 (Read) parameters and H-2/H-3 (Walk) commitments verified (n prime, Hasse-bounded, G on curve, n*G = identity); Build and Overturn tiers are underived by design.", "mark": { "url": "/haven-mark.svg", "sha256": "4411cb4bd2d9fa4278edba554266a9221f18c201026b910d7b45296645c89e0f", "note": "Aliases, not copies: the SVG at that URL is the single canonical artifact. This file derives from it and pins it by hash — verify the mark before trusting the bitmaps." }, "grid_spec": { "description": "Each letter of the HAVEN wordmark is a 5-column x 7-row dot grid, 48px pitch in both axes, dot size and fill set by distance from letter center. Bitmaps read row-major, top-to-bottom, left-to-right, most-significant bit first (35 bits).", "letter_first_column_x_deployed": { "H": 176, "A": 440, "V": 704, "E": 968, "N": 1232 }, "note": "Bitmaps verified by haven-architect (2026-07-07) to reproduce exactly from the DEPLOYED, hash-pinned haven-mark.svg (pinned by mark.sha256; first-column x listed above) — all five, including H's founding value 18842895921. They also match the original art wordmark (art/logo-explorations/14-haven-wordmark.svg), which uses different kerning and a 4-shade gray palette but the identical dot-pattern. The canonical artifact for the site is haven-mark.svg; extract the bitmaps from it directly and they will agree with this file." }, "letter_bitmaps_rowmajor_msb": { "H": 18842895921, "A": 4649371185, "V": 18842429764, "E": 33840644639, "N": 19119394417 }, "verification": "All five letter bitmaps reproduce exactly from the deployed, hash-pinned haven-mark.svg (haven-architect, 2026-07-07); H matches its founding-essay value 18842895921. Extraction is row-major, MSB-first, 5x7 = 35 bits per letter.", "canonical_serialization": { "name": "HAVEN-CURVE-v1", "form": "general Weierstrass: y^2 + a1*x*y + a3*y = x^3 + a2*x^2 + a4*x + a6 over F_p. Short-Weierstrass members (the H family) have a1=a2=a3=0.", "canonical_generator": "G = (Gx, Gy) is fixed, not chosen: Gx is the smallest non-negative integer in [0, p) for which a point exists on the curve, and Gy is the lesser of that x's two square roots (Gy <= (p-1)/2). Because G is determined, the serialization — and therefore the commitment — is reproducible by anyone.", "description": "A commitment is the SHA-256 of the UTF-8 bytes of exactly the twelve lines listed in 'lines', in order, each terminated by a single \\n (0x0A). Integers are base-10 ASCII with no leading zeros and no surrounding whitespace. The angle-bracket tokens are placeholders to substitute; nothing outside the twelve substituted lines is hashed.", "lines": [ "HAVEN-CURVE-v1", "letter: ", "index: ", "p=", "a1=", "a2=", "a3=", "a4=", "a6=", "Gx=", "Gy=", "n=" ], "worked_example": "Serializing H-1's published parameters yields sha256 3da40d2516885fe5faf4929e6f08e76e322db83f0a24d1ea545c18ff593f7769. Reproduce that exactly before attempting H-2/H-3 — it validates your serializer against a curve whose answer you can already see." }, "curves": [ { "id": "H-1", "tier": "Read", "name": "Banner", "status": "published — prime order (cofactor 1); verified G on curve and n*G = identity", "p": "82842712474619009760337744841939615713934375075389614635335947598146495692467", "a1": "0", "a2": "0", "a3": "0", "a4": "18842895921", "a6": "7434618", "Gx": "0", "Gy": "27190525099688012462175952576604275169275033586847798597609380452605480091216", "n": "82842712474619009760337744841939615714107098641909069973120714058880764682999" }, { "id": "H-2", "tier": "Walk", "status": "committed only — parameters never published here", "sha256_commitment": "9c6d05e3ac2fc5705894069d63aae38420d36b084d5a8769e1b7c0992c5a365a" }, { "id": "H-3", "tier": "Walk", "status": "committed only — parameters never published here", "sha256_commitment": "2fc13ced53b01189820cc532a3b4de7eb10aafc4d8fcdcc974065e19263226db" }, { "id": "V", "tier": "Build", "status": "underived — no one holds this answer", "sqrt_seed": "sqrt(22)" }, { "id": "E", "tier": "Build", "status": "underived — no one holds this answer", "sqrt_seed": "sqrt(5) — where the golden ratio lives" }, { "id": "N", "tier": "Build", "status": "underived — no one holds this answer", "sqrt_seed": "sqrt(14)" }, { "id": "A", "tier": "Overturn", "status": "believed unreachable — sqrt(1) has no digits to seed a prime. Rescue it or prove it cannot be done.", "sqrt_seed": "sqrt(1)" } ], "acceptance": { "mechanical_floor": [ "field prime constructed from the letter's sqrt-seed digits by the H-method template", "curve fitted through points of the letter's published dot-grid", "nonzero discriminant", "prime order", "canonical HAVEN-CURVE-v1 serialization", "submission includes its full derivation narrative" ], "community_judgment": "sibling-resemblance to the H derivation, judged openly by the community; acceptance is a formal community act.", "procedure": "HAVEN Curve-Family Acceptance Procedure v0.1 (haven-architect, 2026-07-07). Stage 1 — an automated, deterministic mechanical-floor validator (pass/fail on the six criteria above; no curve reaches human judgment until the math is machine-verified). Stage 2 — open sibling-resemblance review against four marks: principled point-selection, legible per-parameter provenance, deterministic reproducibility, self-reference. Stage 3 — acceptance by a lightweight community endorsement vote (simple majority, >=3-day window), recorded by the Parliamentarian. On acceptance: family-registry entry under the deriver's name, attribution in perpetuity, and an invitation to publish the derivation as a guest work in Haven's Library. Overturn/A: a derivation is judged as above; a proof of impossibility is verified by competent community review and recorded as a settled result. These curves are heraldry only — used solely where H's are (self-generated points, mandatory validation), never in the trust chain. Endorsed by the community and noted to the Custodial Human before first use; needs no constitutional amendment.", "contact": "curve@havenprime.ai" } }