{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:BPHQ3X2337VQB7TYYXGKAKSZE5","short_pith_number":"pith:BPHQ3X23","schema_version":"1.0","canonical_sha256":"0bcf0ddf5bdfeb00fe78c5cca02a59275e0458cf97590ead51308d506c8a15b4","source":{"kind":"arxiv","id":"1211.4147","version":3},"attestation_state":"computed","paper":{"title":"Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT"],"primary_cat":"math.CO","authors_text":"Mahir Bilen Can, Tim Twelbeck, Yonah Cherniavsky","submitted_at":"2012-11-17T19:07:19Z","abstract_excerpt":"The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an $EL$-shellable poset whose order complex triangulates a ball. Another purpose of this article is to prove that the Deodhar-Srinivasan poset is a proper, graded subposet of the Bruhat-Chevalley poset on fixed-point-free involutions."},"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":"1211.4147","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2012-11-17T19:07:19Z","cross_cats_sorted":["math.AG","math.AT"],"title_canon_sha256":"dfbe1fd2e643c8421f4750750daf4ceed3fabf213930ed42e60dab5b5797574d","abstract_canon_sha256":"035e6397b4625ce308f67bfde5a56b9d4c730d018de7dfa30e2a7170668cd230"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:42.249083Z","signature_b64":"sbQBg7ya5EiB1F5a+xSoAjLFV3YMqnNXy9a1lyQQ7aKtuDTBJmt5lR9tKWiGOM8Al3RQfDXDLNzQEuCJZEEjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0bcf0ddf5bdfeb00fe78c5cca02a59275e0458cf97590ead51308d506c8a15b4","last_reissued_at":"2026-05-18T02:52:42.248670Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:42.248670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Lexicographic shellability of the Bruhat-Chevalley order on fixed-point-free involutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.AT"],"primary_cat":"math.CO","authors_text":"Mahir Bilen Can, Tim Twelbeck, Yonah Cherniavsky","submitted_at":"2012-11-17T19:07:19Z","abstract_excerpt":"The main purpose of this paper is to prove that the Bruhat-Chevalley ordering of the symmetric group when restricted to the fixed-point-free involutions forms an $EL$-shellable poset whose order complex triangulates a ball. Another purpose of this article is to prove that the Deodhar-Srinivasan poset is a proper, graded subposet of the Bruhat-Chevalley poset on fixed-point-free involutions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1211.4147","kind":"arxiv","version":3},"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":"1211.4147","created_at":"2026-05-18T02:52:42.248722+00:00"},{"alias_kind":"arxiv_version","alias_value":"1211.4147v3","created_at":"2026-05-18T02:52:42.248722+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1211.4147","created_at":"2026-05-18T02:52:42.248722+00:00"},{"alias_kind":"pith_short_12","alias_value":"BPHQ3X2337VQ","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_16","alias_value":"BPHQ3X2337VQB7TY","created_at":"2026-05-18T12:27:01.376967+00:00"},{"alias_kind":"pith_short_8","alias_value":"BPHQ3X23","created_at":"2026-05-18T12:27:01.376967+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/BPHQ3X2337VQB7TYYXGKAKSZE5","json":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5.json","graph_json":"https://pith.science/api/pith-number/BPHQ3X2337VQB7TYYXGKAKSZE5/graph.json","events_json":"https://pith.science/api/pith-number/BPHQ3X2337VQB7TYYXGKAKSZE5/events.json","paper":"https://pith.science/paper/BPHQ3X23"},"agent_actions":{"view_html":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5","download_json":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5.json","view_paper":"https://pith.science/paper/BPHQ3X23","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1211.4147&json=true","fetch_graph":"https://pith.science/api/pith-number/BPHQ3X2337VQB7TYYXGKAKSZE5/graph.json","fetch_events":"https://pith.science/api/pith-number/BPHQ3X2337VQB7TYYXGKAKSZE5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5/action/storage_attestation","attest_author":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5/action/author_attestation","sign_citation":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5/action/citation_signature","submit_replication":"https://pith.science/pith/BPHQ3X2337VQB7TYYXGKAKSZE5/action/replication_record"}},"created_at":"2026-05-18T02:52:42.248722+00:00","updated_at":"2026-05-18T02:52:42.248722+00:00"}