{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:BXZTWG7Q2YKTXLSUHKCGSQ2JIW","short_pith_number":"pith:BXZTWG7Q","schema_version":"1.0","canonical_sha256":"0df33b1bf0d6153bae543a8469434945b3d53f306690d0bdeaa223c773f77e3a","source":{"kind":"arxiv","id":"1402.1337","version":1},"attestation_state":"computed","paper":{"title":"On graphs whose Hosoya indices are primitive Pythagorean triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Tomoe Kadoi, Yasuhide Numata","submitted_at":"2014-02-06T12:37:51Z","abstract_excerpt":"We discuss families of triples of graphs whose Hosoya indices are primitive Pythagorean triples. Hosoya gave a method to construct such families of caterpillars, i.e., trees whose vertices are within distance 1 of a central path. He also pointed out a common structure to the families, and conjectured the uniqueness of the structure. In this paper, we give an answer to his conjecture."},"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":"1402.1337","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-02-06T12:37:51Z","cross_cats_sorted":[],"title_canon_sha256":"4ecb36da60143d2e3935c9f8a35975c5aae374a904ea94ab512780fce9e47411","abstract_canon_sha256":"164d258c90937b8d7a7e0825b18767aa93b58183b6cb32f1ba803eec3fd7ea72"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:59.361424Z","signature_b64":"acX6FvrhfbPaBI5iUizrTWilimWZrGcH5EUcQ+f8gqBRvYHsjAdb115CLyXugt7Ba0nwPZbqucBZMuRvUJOAAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0df33b1bf0d6153bae543a8469434945b3d53f306690d0bdeaa223c773f77e3a","last_reissued_at":"2026-05-18T02:59:59.360603Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:59.360603Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On graphs whose Hosoya indices are primitive Pythagorean triples","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Tomoe Kadoi, Yasuhide Numata","submitted_at":"2014-02-06T12:37:51Z","abstract_excerpt":"We discuss families of triples of graphs whose Hosoya indices are primitive Pythagorean triples. Hosoya gave a method to construct such families of caterpillars, i.e., trees whose vertices are within distance 1 of a central path. He also pointed out a common structure to the families, and conjectured the uniqueness of the structure. In this paper, we give an answer to his conjecture."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1337","kind":"arxiv","version":1},"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":"1402.1337","created_at":"2026-05-18T02:59:59.360730+00:00"},{"alias_kind":"arxiv_version","alias_value":"1402.1337v1","created_at":"2026-05-18T02:59:59.360730+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1337","created_at":"2026-05-18T02:59:59.360730+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXZTWG7Q2YKT","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXZTWG7Q2YKTXLSU","created_at":"2026-05-18T12:28:22.404517+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXZTWG7Q","created_at":"2026-05-18T12:28:22.404517+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/BXZTWG7Q2YKTXLSUHKCGSQ2JIW","json":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW.json","graph_json":"https://pith.science/api/pith-number/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/graph.json","events_json":"https://pith.science/api/pith-number/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/events.json","paper":"https://pith.science/paper/BXZTWG7Q"},"agent_actions":{"view_html":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW","download_json":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW.json","view_paper":"https://pith.science/paper/BXZTWG7Q","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1402.1337&json=true","fetch_graph":"https://pith.science/api/pith-number/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/graph.json","fetch_events":"https://pith.science/api/pith-number/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/action/storage_attestation","attest_author":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/action/author_attestation","sign_citation":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/action/citation_signature","submit_replication":"https://pith.science/pith/BXZTWG7Q2YKTXLSUHKCGSQ2JIW/action/replication_record"}},"created_at":"2026-05-18T02:59:59.360730+00:00","updated_at":"2026-05-18T02:59:59.360730+00:00"}