{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2003:7UQOEFAZFKQFKFSC222WHMQWT3","short_pith_number":"pith:7UQOEFAZ","schema_version":"1.0","canonical_sha256":"fd20e214192aa0551642d6b563b2169efd7fbc213fc31ca2b5fbd94cab3d8a39","source":{"kind":"arxiv","id":"math/0302105","version":2},"attestation_state":"computed","paper":{"title":"A formula for the number of tilings of an octagon by rhombi","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.CO","authors_text":"F. Bailly, N. Destainville, R. Mosseri","submitted_at":"2003-02-10T16:07:06Z","abstract_excerpt":"We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and generalizes to any octagon a formula given by Elnitsky in a special case."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"math/0302105","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"math.CO","submitted_at":"2003-02-10T16:07:06Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"6bd6dd23f65223f59bef10ae6a9d076faebb7438114e9bc1fd24ab8fe786febf","abstract_canon_sha256":"f32d15866e5e0093b479412cadda00b9394062195427cf39fc63e667025014bb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:29.080399Z","signature_b64":"2sIKcVc9QYks+p/cKVBQlTiQT94wThh6LtLXJN+PPE7jv0O8D/uKDEkZISRT596Esg1t9hPJ+oIQ0lXEn/vgBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fd20e214192aa0551642d6b563b2169efd7fbc213fc31ca2b5fbd94cab3d8a39","last_reissued_at":"2026-05-18T01:05:29.080018Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:29.080018Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A formula for the number of tilings of an octagon by rhombi","license":"","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"math.CO","authors_text":"F. Bailly, N. Destainville, R. Mosseri","submitted_at":"2003-02-10T16:07:06Z","abstract_excerpt":"We propose the first algebraic determinantal formula to enumerate tilings of a centro-symmetric octagon of any size by rhombi. This result uses the Gessel-Viennot technique and generalizes to any octagon a formula given by Elnitsky in a special case."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0302105","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"math/0302105","created_at":"2026-05-18T01:05:29.080080+00:00"},{"alias_kind":"arxiv_version","alias_value":"math/0302105v2","created_at":"2026-05-18T01:05:29.080080+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0302105","created_at":"2026-05-18T01:05:29.080080+00:00"},{"alias_kind":"pith_short_12","alias_value":"7UQOEFAZFKQF","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_16","alias_value":"7UQOEFAZFKQFKFSC","created_at":"2026-05-18T12:25:51.375804+00:00"},{"alias_kind":"pith_short_8","alias_value":"7UQOEFAZ","created_at":"2026-05-18T12:25:51.375804+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3","json":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3.json","graph_json":"https://pith.science/api/pith-number/7UQOEFAZFKQFKFSC222WHMQWT3/graph.json","events_json":"https://pith.science/api/pith-number/7UQOEFAZFKQFKFSC222WHMQWT3/events.json","paper":"https://pith.science/paper/7UQOEFAZ"},"agent_actions":{"view_html":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3","download_json":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3.json","view_paper":"https://pith.science/paper/7UQOEFAZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=math/0302105&json=true","fetch_graph":"https://pith.science/api/pith-number/7UQOEFAZFKQFKFSC222WHMQWT3/graph.json","fetch_events":"https://pith.science/api/pith-number/7UQOEFAZFKQFKFSC222WHMQWT3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3/action/storage_attestation","attest_author":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3/action/author_attestation","sign_citation":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3/action/citation_signature","submit_replication":"https://pith.science/pith/7UQOEFAZFKQFKFSC222WHMQWT3/action/replication_record"}},"created_at":"2026-05-18T01:05:29.080080+00:00","updated_at":"2026-05-18T01:05:29.080080+00:00"}