{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:UY7F3YNMCXCBUELTJVSLXZN527","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","title_canon_sha256":"9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d"},"schema_version":"1.0","source":{"id":"1901.01352","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1901.01352","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"arxiv_version","alias_value":"1901.01352v1","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1901.01352","created_at":"2026-05-17T23:56:52Z"},{"alias_kind":"pith_short_12","alias_value":"UY7F3YNMCXCB","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_16","alias_value":"UY7F3YNMCXCBUELT","created_at":"2026-05-18T12:33:30Z"},{"alias_kind":"pith_short_8","alias_value":"UY7F3YNM","created_at":"2026-05-18T12:33:30Z"}],"graph_snapshots":[{"event_id":"sha256:9c9e8c44e30751c7ed7f5e185fc205ded0466f35456e82b2714172c0f6016527","target":"graph","created_at":"2026-05-17T23:56:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We prove a duality formula between two elliptic determinants. We present a proof which is a variant of the Izergin-Korepin method which is a method originally introduced to analyze and compute partition functions of integrable lattice models.","authors_text":"Kohei Motegi","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","title":"A duality formula between elliptic determinants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1901.01352","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:01de7d5d241d47f6052f40647630cefe2189bb5193bac244e3ffca17b19106b2","target":"record","created_at":"2026-05-17T23:56:52Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"85432f4d1f03b25a99f64135894fb015728cdc36be3c3f7cac729cda876167dc","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2019-01-05T01:59:41Z","title_canon_sha256":"9c272b4dba0b7b6e300dd6d2bf066e758dd9788f8c3c1f34cf4e8ca0c94e194d"},"schema_version":"1.0","source":{"id":"1901.01352","kind":"arxiv","version":1}},"canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a63e5de1ac15c41a11734d64bbe5bdd7df548c2362dacc6b86609c05525ffe2f","first_computed_at":"2026-05-17T23:56:52.148153Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:52.148153Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xnmT7aQGSDb6g/S5AB3GgUF48r6oD7zOFtsDDH6iXROU8HMzCYGvBtSxOEP7jt4Z1j1agitXQDWB1YHeaCsQAQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:52.148579Z","signed_message":"canonical_sha256_bytes"},"source_id":"1901.01352","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:01de7d5d241d47f6052f40647630cefe2189bb5193bac244e3ffca17b19106b2","sha256:9c9e8c44e30751c7ed7f5e185fc205ded0466f35456e82b2714172c0f6016527"],"state_sha256":"829e5a19b8455e65c397a198bf974b79514137cfd959f2ffad41067b61f3422a"}