{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:66O6XGDVVFV2QK4SL5I27YGDRX","short_pith_number":"pith:66O6XGDV","canonical_record":{"source":{"id":"1403.0703","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-04T07:36:32Z","cross_cats_sorted":[],"title_canon_sha256":"a58952b9a5f7629e87c71e1fae4a66a3a506df81eb5cfe499fe08953968ed636","abstract_canon_sha256":"64177957df4d4c6d6ed4efe79aa778df725d9f0b1867a6b4f344be370fafe096"},"schema_version":"1.0"},"canonical_sha256":"f79deb9875a96ba82b925f51afe0c38dcfbacb3d1236a54b312e72f29b382726","source":{"kind":"arxiv","id":"1403.0703","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0703","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0703v2","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0703","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"66O6XGDVVFV2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"66O6XGDVVFV2QK4S","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"66O6XGDV","created_at":"2026-05-18T12:28:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:66O6XGDVVFV2QK4SL5I27YGDRX","target":"record","payload":{"canonical_record":{"source":{"id":"1403.0703","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-04T07:36:32Z","cross_cats_sorted":[],"title_canon_sha256":"a58952b9a5f7629e87c71e1fae4a66a3a506df81eb5cfe499fe08953968ed636","abstract_canon_sha256":"64177957df4d4c6d6ed4efe79aa778df725d9f0b1867a6b4f344be370fafe096"},"schema_version":"1.0"},"canonical_sha256":"f79deb9875a96ba82b925f51afe0c38dcfbacb3d1236a54b312e72f29b382726","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:41.485202Z","signature_b64":"qD32GdPWE1FIopIj2OzemsgjyryOUJvTC1oBcPv52LdegGDkhxK0W6MLRMhTtiielG4p+wuhV+gtngcZ3kgqDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f79deb9875a96ba82b925f51afe0c38dcfbacb3d1236a54b312e72f29b382726","last_reissued_at":"2026-05-18T02:52:41.484736Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:41.484736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.0703","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yhGJ5cM2eN9IJuBe9eYP5ynZm9Cfp3AwtjhBkJ5yl34HMh1QgSTOrrqkbK1wGPGrd6heLsRLghq2vDumIV5fDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:03:13.940181Z"},"content_sha256":"8332e67b6fc43aed0ee6f8299e88414a211462460d999a064ba7cdd60d3f54ff","schema_version":"1.0","event_id":"sha256:8332e67b6fc43aed0ee6f8299e88414a211462460d999a064ba7cdd60d3f54ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:66O6XGDVVFV2QK4SL5I27YGDRX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bruhat Order on Partial Fixed Point Free Involutions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Mahir Bilen Can, Tim Twelbeck, Yonah Cherniavsky","submitted_at":"2014-03-04T07:36:32Z","abstract_excerpt":"The order complex of inclusion poset $PF_n$ of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that $PF_n$ is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of $PF_n$ is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0703","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:52:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Jg9AYYP+mtvfZjBxqKQoEz05RkKChxhZhkpZ4ofyCs8xPS6zbBNUK9Y8yRuRounK1VndSG3ukazOahIxmSLkDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T20:03:13.940540Z"},"content_sha256":"0b4d4403e184c354c4ec1b6a16593d69e426357a3c25daa290fd933a1ccd779b","schema_version":"1.0","event_id":"sha256:0b4d4403e184c354c4ec1b6a16593d69e426357a3c25daa290fd933a1ccd779b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/66O6XGDVVFV2QK4SL5I27YGDRX/bundle.json","state_url":"https://pith.science/pith/66O6XGDVVFV2QK4SL5I27YGDRX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/66O6XGDVVFV2QK4SL5I27YGDRX/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-01T20:03:13Z","links":{"resolver":"https://pith.science/pith/66O6XGDVVFV2QK4SL5I27YGDRX","bundle":"https://pith.science/pith/66O6XGDVVFV2QK4SL5I27YGDRX/bundle.json","state":"https://pith.science/pith/66O6XGDVVFV2QK4SL5I27YGDRX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/66O6XGDVVFV2QK4SL5I27YGDRX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:66O6XGDVVFV2QK4SL5I27YGDRX","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"64177957df4d4c6d6ed4efe79aa778df725d9f0b1867a6b4f344be370fafe096","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-04T07:36:32Z","title_canon_sha256":"a58952b9a5f7629e87c71e1fae4a66a3a506df81eb5cfe499fe08953968ed636"},"schema_version":"1.0","source":{"id":"1403.0703","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.0703","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"arxiv_version","alias_value":"1403.0703v2","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.0703","created_at":"2026-05-18T02:52:41Z"},{"alias_kind":"pith_short_12","alias_value":"66O6XGDVVFV2","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_16","alias_value":"66O6XGDVVFV2QK4S","created_at":"2026-05-18T12:28:16Z"},{"alias_kind":"pith_short_8","alias_value":"66O6XGDV","created_at":"2026-05-18T12:28:16Z"}],"graph_snapshots":[{"event_id":"sha256:0b4d4403e184c354c4ec1b6a16593d69e426357a3c25daa290fd933a1ccd779b","target":"graph","created_at":"2026-05-18T02:52:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The order complex of inclusion poset $PF_n$ of Borel orbit closures in skew-symmetric matrices is investigated. It is shown that $PF_n$ is an EL-shellable poset, and furthermore, its order complex triangulates a ball. The rank-generating function of $PF_n$ is computed and the resulting polynomial is contrasted with the Hasse-Weil zeta function of the variety of skew-symmetric matrices over finite fields.","authors_text":"Mahir Bilen Can, Tim Twelbeck, Yonah Cherniavsky","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-04T07:36:32Z","title":"Bruhat Order on Partial Fixed Point Free Involutions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.0703","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:8332e67b6fc43aed0ee6f8299e88414a211462460d999a064ba7cdd60d3f54ff","target":"record","created_at":"2026-05-18T02:52:41Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"64177957df4d4c6d6ed4efe79aa778df725d9f0b1867a6b4f344be370fafe096","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-03-04T07:36:32Z","title_canon_sha256":"a58952b9a5f7629e87c71e1fae4a66a3a506df81eb5cfe499fe08953968ed636"},"schema_version":"1.0","source":{"id":"1403.0703","kind":"arxiv","version":2}},"canonical_sha256":"f79deb9875a96ba82b925f51afe0c38dcfbacb3d1236a54b312e72f29b382726","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f79deb9875a96ba82b925f51afe0c38dcfbacb3d1236a54b312e72f29b382726","first_computed_at":"2026-05-18T02:52:41.484736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:41.484736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qD32GdPWE1FIopIj2OzemsgjyryOUJvTC1oBcPv52LdegGDkhxK0W6MLRMhTtiielG4p+wuhV+gtngcZ3kgqDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:41.485202Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.0703","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8332e67b6fc43aed0ee6f8299e88414a211462460d999a064ba7cdd60d3f54ff","sha256:0b4d4403e184c354c4ec1b6a16593d69e426357a3c25daa290fd933a1ccd779b"],"state_sha256":"656448a0b5b791e578f69c97aa55f263aff541753ce8a45ddd8141ae4146faaf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EVc6KLTJM5+BjtXN2TcyIEtk6dgs8uxPW0QtaWd3/58ZykUcq+CQCiLNAph9vUHSM03K9aMGtlpJ9xrIrLEHCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T20:03:13.942520Z","bundle_sha256":"a3acc2f5f6ef8f89b5869be966065b7669db0d8c49e486bf2dc8bba45ee2eaad"}}