{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:SYB72QSKI3SHCEQALJNDLSCK3A","short_pith_number":"pith:SYB72QSK","schema_version":"1.0","canonical_sha256":"9603fd424a46e47112005a5a35c84ad8155270226370e8c079b41c19cf66f7e8","source":{"kind":"arxiv","id":"1004.4719","version":5},"attestation_state":"computed","paper":{"title":"Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.GT"],"primary_cat":"math.CO","authors_text":"Tetsuya Hosaka","submitted_at":"2010-04-27T06:19:18Z","abstract_excerpt":"In this paper, we investigate a relation between finite graphs, simplicial flag complexes and right-angled Coxeter groups, and we provide a class of reconstructible finite graphs. We show that if $\\Gamma$ is a finite graph which is the 1-skeleton of some simplicial flag complex $L$ which is a homology manifold of dimension $n \\ge 1$, then the graph $\\Gamma$ is reconstructible."},"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":"1004.4719","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-04-27T06:19:18Z","cross_cats_sorted":["math.GR","math.GT"],"title_canon_sha256":"017f8a787ef4c24cec010b9c013eb87bd9b23b575b1db0efd4b5d0b9995543bc","abstract_canon_sha256":"76c3f501f39663f3467eface39bf40697988e997f35760b7a0f6a6d0cde4a13e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:16.041533Z","signature_b64":"zRtIsg+dK06pIQjgSuakJTE0VrXrsmHSBHIgH9HNB7TGYgLouIdJvLPTmd/WXxC8UWJ3EvZH7qbSjw9iGgQODw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9603fd424a46e47112005a5a35c84ad8155270226370e8c079b41c19cf66f7e8","last_reissued_at":"2026-05-18T02:24:16.040904Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:16.040904Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Reconstructible graphs, simplicial flag complexes of homology manifolds and associated right-angled Coxeter groups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GR","math.GT"],"primary_cat":"math.CO","authors_text":"Tetsuya Hosaka","submitted_at":"2010-04-27T06:19:18Z","abstract_excerpt":"In this paper, we investigate a relation between finite graphs, simplicial flag complexes and right-angled Coxeter groups, and we provide a class of reconstructible finite graphs. We show that if $\\Gamma$ is a finite graph which is the 1-skeleton of some simplicial flag complex $L$ which is a homology manifold of dimension $n \\ge 1$, then the graph $\\Gamma$ is reconstructible."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.4719","kind":"arxiv","version":5},"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":"1004.4719","created_at":"2026-05-18T02:24:16.040988+00:00"},{"alias_kind":"arxiv_version","alias_value":"1004.4719v5","created_at":"2026-05-18T02:24:16.040988+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.4719","created_at":"2026-05-18T02:24:16.040988+00:00"},{"alias_kind":"pith_short_12","alias_value":"SYB72QSKI3SH","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"SYB72QSKI3SHCEQA","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"SYB72QSK","created_at":"2026-05-18T12:26:13.927090+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/SYB72QSKI3SHCEQALJNDLSCK3A","json":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A.json","graph_json":"https://pith.science/api/pith-number/SYB72QSKI3SHCEQALJNDLSCK3A/graph.json","events_json":"https://pith.science/api/pith-number/SYB72QSKI3SHCEQALJNDLSCK3A/events.json","paper":"https://pith.science/paper/SYB72QSK"},"agent_actions":{"view_html":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A","download_json":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A.json","view_paper":"https://pith.science/paper/SYB72QSK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1004.4719&json=true","fetch_graph":"https://pith.science/api/pith-number/SYB72QSKI3SHCEQALJNDLSCK3A/graph.json","fetch_events":"https://pith.science/api/pith-number/SYB72QSKI3SHCEQALJNDLSCK3A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A/action/storage_attestation","attest_author":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A/action/author_attestation","sign_citation":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A/action/citation_signature","submit_replication":"https://pith.science/pith/SYB72QSKI3SHCEQALJNDLSCK3A/action/replication_record"}},"created_at":"2026-05-18T02:24:16.040988+00:00","updated_at":"2026-05-18T02:24:16.040988+00:00"}