{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:S7AMUBJPXJ2DAY4PKDH5YHDGHV","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":"78aeab2be7de44c027c5b45c751063eb0047ccc67d1343c7d04986b7bce631dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-18T10:27:38Z","title_canon_sha256":"83512467024600aebf0e4838b26405ff49bd9d01136807554a780e93d7c524c4"},"schema_version":"1.0","source":{"id":"1710.06664","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06664","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06664v2","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06664","created_at":"2026-05-18T00:29:45Z"},{"alias_kind":"pith_short_12","alias_value":"S7AMUBJPXJ2D","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"S7AMUBJPXJ2DAY4P","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"S7AMUBJP","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:41cd976c2d40193e594909b982d43bee1d0ddf0630a9a4c2ad84b8bb2515c9b1","target":"graph","created_at":"2026-05-18T00:29:45Z","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 notion of descent set, for permutations as well as for standard Young tableaux (SYT), is classical. Cellini introduced a natural notion of {\\em cyclic descent set} for permutations, and Rhoades introduced such a notion for SYT --- but only for rectangular shapes. In this work we define {\\em cyclic extensions} of descent sets in a general context, and prove existence and essential uniqueness for SYT of almost all shapes. The proof applies nonnegativity properties of Postnikov's toric Schur polynomials, providing a new interpretation of certain Gromov-Witten invariants.","authors_text":"Ron M. Adin, Victor Reiner, Yuval Roichman","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-18T10:27:38Z","title":"On cyclic descents for tableaux"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06664","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":"sha256:0f6b4a84951386c6c149780604bb5c54b2df88d774e478b661a87434070f6371","target":"record","created_at":"2026-05-18T00:29:45Z","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":"78aeab2be7de44c027c5b45c751063eb0047ccc67d1343c7d04986b7bce631dc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2017-10-18T10:27:38Z","title_canon_sha256":"83512467024600aebf0e4838b26405ff49bd9d01136807554a780e93d7c524c4"},"schema_version":"1.0","source":{"id":"1710.06664","kind":"arxiv","version":2}},"canonical_sha256":"97c0ca052fba7430638f50cfdc1c663d5984679a73d09b8632cb747d6b37ea3e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"97c0ca052fba7430638f50cfdc1c663d5984679a73d09b8632cb747d6b37ea3e","first_computed_at":"2026-05-18T00:29:45.427894Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:29:45.427894Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9jZlNU20EQVX1Lv+Accfwvpq6hr5fLlxYyFUqSHhpm93PCQFxWE6lJWnqxBj9u+psONoHgAH/yU7A5Ps7pn9AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:29:45.428353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06664","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f6b4a84951386c6c149780604bb5c54b2df88d774e478b661a87434070f6371","sha256:41cd976c2d40193e594909b982d43bee1d0ddf0630a9a4c2ad84b8bb2515c9b1"],"state_sha256":"894a2e97fe127567783bb2ab656bfbd4950bd2557c3f4d52a3b4abcfde7e705c"}