{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:TYDEQS7ITJVHPYWYSPOSBE5JG5","short_pith_number":"pith:TYDEQS7I","schema_version":"1.0","canonical_sha256":"9e06484be89a6a77e2d893dd2093a9377c7bbcfef98ae3fca241ab35d0171904","source":{"kind":"arxiv","id":"1108.0572","version":1},"attestation_state":"computed","paper":{"title":"The flag f-vectors of Gorenstein* order complexes of dimension 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Eran Nevo, Satoshi Murai","submitted_at":"2011-08-02T13:57:28Z","abstract_excerpt":"We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f-vectors of Gorenstein* order complexes of dimension 3. As a corollary, we characterize the f-vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization rise a speculated intimate connection between the f-vectors of flag homology spheres and the f-vectors of Gorenstein* order complexes."},"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":"1108.0572","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2011-08-02T13:57:28Z","cross_cats_sorted":[],"title_canon_sha256":"403bb721a652394375859dd8a20682d9b82bc0729d6d24cc8c086b17454bed45","abstract_canon_sha256":"3686c402d59250255d55f9f85cf28b2f1d13fa0ed0aeee7fd397b40ce5fb6f8e"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:16:30.181925Z","signature_b64":"NHkbT5VhVwvdEomW8OPHiYnX0e6XW8p3ST0+7bwCAXsqR+BSo83r213Ei8Cad91vj02v+R6bUbeGFVVuyAdKBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9e06484be89a6a77e2d893dd2093a9377c7bbcfef98ae3fca241ab35d0171904","last_reissued_at":"2026-05-18T04:16:30.181522Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:16:30.181522Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The flag f-vectors of Gorenstein* order complexes of dimension 3","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Eran Nevo, Satoshi Murai","submitted_at":"2011-08-02T13:57:28Z","abstract_excerpt":"We characterize the cd-indices of Gorenstein* posets of rank 5, equivalently the flag f-vectors of Gorenstein* order complexes of dimension 3. As a corollary, we characterize the f-vectors of Gorenstein* order complexes in dimensions 3 and 4. This characterization rise a speculated intimate connection between the f-vectors of flag homology spheres and the f-vectors of Gorenstein* order complexes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1108.0572","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":"1108.0572","created_at":"2026-05-18T04:16:30.181586+00:00"},{"alias_kind":"arxiv_version","alias_value":"1108.0572v1","created_at":"2026-05-18T04:16:30.181586+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1108.0572","created_at":"2026-05-18T04:16:30.181586+00:00"},{"alias_kind":"pith_short_12","alias_value":"TYDEQS7ITJVH","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_16","alias_value":"TYDEQS7ITJVHPYWY","created_at":"2026-05-18T12:26:42.757692+00:00"},{"alias_kind":"pith_short_8","alias_value":"TYDEQS7I","created_at":"2026-05-18T12:26:42.757692+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/TYDEQS7ITJVHPYWYSPOSBE5JG5","json":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5.json","graph_json":"https://pith.science/api/pith-number/TYDEQS7ITJVHPYWYSPOSBE5JG5/graph.json","events_json":"https://pith.science/api/pith-number/TYDEQS7ITJVHPYWYSPOSBE5JG5/events.json","paper":"https://pith.science/paper/TYDEQS7I"},"agent_actions":{"view_html":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5","download_json":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5.json","view_paper":"https://pith.science/paper/TYDEQS7I","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1108.0572&json=true","fetch_graph":"https://pith.science/api/pith-number/TYDEQS7ITJVHPYWYSPOSBE5JG5/graph.json","fetch_events":"https://pith.science/api/pith-number/TYDEQS7ITJVHPYWYSPOSBE5JG5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5/action/storage_attestation","attest_author":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5/action/author_attestation","sign_citation":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5/action/citation_signature","submit_replication":"https://pith.science/pith/TYDEQS7ITJVHPYWYSPOSBE5JG5/action/replication_record"}},"created_at":"2026-05-18T04:16:30.181586+00:00","updated_at":"2026-05-18T04:16:30.181586+00:00"}