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Gold Partition Conjecture: Research Poset Atlas (v2.1.0)

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Zenodo2026-08-10 更新2026-08-13 收录
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Release 2.1 is a data-usability release of the Gold Partition Conjecture project. It adds a complete research atlas of every unlabeled poset on seven or fewer elements: 2,450 isomorphism classes, one JSON Lines file per order, with per-order counts A000112(1) through A000112(7). Each row carries a reversible, label-independent poset-v1 identifier, exact linear-extension counts and integer pair probabilities, balance constants as exact fractions, linear-extension-majority edges and cycle spectra in both the full and incomparable-pairs relations, structural invariants, ordinal-sum decomposition with summand identifiers, a dual join, and the Gold Partition certificate class. Also included: a versioned JSON Schema, per-order checksum-bearing manifests, a deterministic generator, an independent brute-force validator that reconstructs the unlabeled universe and enumerates every linear extension, and a cross-order checker for identifier references that leave a single order. This is a schema and usability prototype over a complete small-order universe. It is not a sample of order-14 posets and makes no new order-14 mathematical claim. The order-14 census artifacts remain at 10.5281/zenodo.21696940 and are not duplicated here. Source is MIT licensed. The included PDF is the Release 2 manuscript, also available as arXiv:2607.23926.

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2026-08-10
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