{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:S6LRLGFRKPGOPNLWYDFAQCHA4P","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":"5de08be9551b4172b337660092f11febf43b16629d961386ac9a3ce375db3e11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-01-22T13:15:14Z","title_canon_sha256":"945eb6368afe4b15e3ecb4a421ee14f36edc42d3fe88380d43eb0b7bf9367bf0"},"schema_version":"1.0","source":{"id":"1401.5653","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1401.5653","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"arxiv_version","alias_value":"1401.5653v1","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1401.5653","created_at":"2026-05-18T03:01:25Z"},{"alias_kind":"pith_short_12","alias_value":"S6LRLGFRKPGO","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S6LRLGFRKPGOPNLW","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S6LRLGFR","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:a217b483899dda3ba27d8e5e65e701c208a74845cb677f03fc2852986ae787c8","target":"graph","created_at":"2026-05-18T03:01:25Z","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":"We show that the pair (des, ides) of statistics on the set of permu- tations has the same distribution as the pair (asc, row) of statistics on the set of inversion tables, proving a conjecture of Visontai. The common generating function of these pairs is the double Eulerian polynomial.","authors_text":"Erik Aas","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-01-22T13:15:14Z","title":"The Double Eulerian Polynomial and Inversion Tables"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.5653","kind":"arxiv","version":1},"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":"sha256:8c183a90c860d77a1478b522860332e5af897e1e8c819ff6d796b388bcd758e3","target":"record","created_at":"2026-05-18T03:01:25Z","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":"5de08be9551b4172b337660092f11febf43b16629d961386ac9a3ce375db3e11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-01-22T13:15:14Z","title_canon_sha256":"945eb6368afe4b15e3ecb4a421ee14f36edc42d3fe88380d43eb0b7bf9367bf0"},"schema_version":"1.0","source":{"id":"1401.5653","kind":"arxiv","version":1}},"canonical_sha256":"97971598b153cce7b576c0ca0808e0e3e7d776e61a29a8bdb6d1515b538c93bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97971598b153cce7b576c0ca0808e0e3e7d776e61a29a8bdb6d1515b538c93bb","first_computed_at":"2026-05-18T03:01:25.656052Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:01:25.656052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dD4C7HROBjLVUW8dmyQ/qWru04mt77Nrafy18r62gPamlhb/uVJpwIqwGf538nKKdd7h3gZXg8B55qpgUk1jAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:01:25.656858Z","signed_message":"canonical_sha256_bytes"},"source_id":"1401.5653","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8c183a90c860d77a1478b522860332e5af897e1e8c819ff6d796b388bcd758e3","sha256:a217b483899dda3ba27d8e5e65e701c208a74845cb677f03fc2852986ae787c8"],"state_sha256":"88bc16a6d68e16ac99be14d33afbf43b9c44aec24adb411fd78f5dd2338b18c3"}