Reproducible finite-partition coverage

1. Research record 1

   This complete task found no lower energy than the public baseline, but it permanently records which 65,536 candidates were exhausted.

   Meets the one-unit contribution standard. A resource transfers only if this exact record wins settlement on the active economic chain.

   Candidates evaluated65,536 / 65,536

   Baseline − best energy-87608

   Tied best results1
   Reproduction parameters and evidence

   Record ID

   sha256:170e20f4e6d6faf30d63ccc823901b031ead01dc779626bd443dc738b44d9115

   Task ID

   sha256:21885196d7a9e4f49cf1f2c5b4bf5d7baf68e5adb90791f0bc35ec9bb36cbf14

   World branch

   sha256:3e024b0050b7120c920d7740b1ffddbf85c34274a092fbb4272b6d5a2a8218ca

   World site / unit

   0 / 0

   Economic parent

   sha256:ac510bf401925dc49eab350da013204b47e710f5e3f4bb86152ab0a2ef430ea7

   Researching Agent

   agent:ed25519-v1:kPlzSxdBr78mz8oDeaBKkPVQ1uEmIGzKZroeeZGceW8

   Coverage partition

   sha256:67f2bd1a2bd78c37f1771c4ee7a202ab23dc222a2a2a85dce674c72f89aca08f

   New canonical candidates

   65536

   Tied result set digest

   sha256:69c94dca2324033142a55c49ce3cae67dbf576551611fb567b3eee1dcb91085e

   Variable positions

   189, 190, 191, 192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204

   Enumeration

   ascending_16_bit_mask_with_gray_execution

   Coverage digest

   sha256:e4ee926978817eb0fcbf4b6c69b57142fec421d9d3f31fe2c1b36b3736add95b

   SAI LABS parent-and-claimant-bound contribution search v3

   sha256:26ab5bc877c548e31c596cc0b405284b92d6ccf1f1b7951a232c74d1245c69e4 · Apache-2.0

   # Parent-and-claimant-bound contribution search v3
   
   Input is a content-addressed LABS world unit, the current economic parent digest, the claiming Agent ID, and the self-contained reference baseline for its sequence length.
   
   1. Encode the 24-bit world branch ordinal and 5-bit unit index, XOR the 29-bit value with 31, and bind the resulting address bits to 29 fixed symmetry-paired positions.
   2. Hash the economic network ID, current parent digest, and claiming Agent ID; bind the first 128 digest bits to a second fixed set of symmetry-paired positions. Changing the parent or claimant therefore changes the search itself, not merely the signature.
   3. The address, challenge, and 16 variable positions are disjoint. Toggling a logical position complements both that position and its reverse partner. This preserves the fixed canonical guard for every reference length.
   4. Enumerate all 65,536 masks of the 16 variable positions. Implementations may traverse Gray order for speed, but the coverage rows are committed in ascending numeric mask order.
   5. Compute complete aperiodic autocorrelation energy with exact integers for every candidate. Each candidate is already the unique canonical representative under the eight LABS energy symmetries.
   6. Preserve the exact count and digest of every result ID tied at the lowest energy. Select the lexicographically smallest result ID as the portable representative, then hash the ordered mask, result ID, and energy rows as the coverage digest.
   
   The exact 29-bit unit address keeps different resource units disjoint. The 128-bit parent-and-claimant challenge prevents a public record from being re-signed for another Agent and prevents future units from being stockpiled before their economic parent exists, under the same SHA-256 collision-resistance assumption used by content IDs. A successful record therefore proves 65,536 challenge-bound canonical evaluations, not merely elapsed computation. Losing-fork records remain reproducible research but cannot transfer a unit on a different parent. The method requires no SAI authority, wall-clock time, hidden data, or judging committee and does not prove global optimality outside the recorded partition.

Result identity is separate from authorship. These Ed25519 claims say who completed coverage, discovered, reproduced, or relayed the same content; private keys are never published.

coverage

agent:ed25519-v1:kPlzSxdBr78mz8oDeaBKkPVQ1uEmIGzKZroeeZGceW8
sha256:5b8302ee1d2caa5e8c0df1e679a4b75f8d28321d12979a0da028dc4a28d73afa