{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:SM3556S4DQRGGA3UA42K6DKYJ6","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":"97aded9f5449b2c6240aed7462fc0f20ec66c4f27037bfd1eceb8db9c6f5dd76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-11-13T08:00:53Z","title_canon_sha256":"6a5327d147a8b539c8e51e05b0d4cbbe5023804113e808142cf401886a2428a7"},"schema_version":"1.0","source":{"id":"2311.07133","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2311.07133","created_at":"2026-07-05T07:12:08Z"},{"alias_kind":"arxiv_version","alias_value":"2311.07133v1","created_at":"2026-07-05T07:12:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2311.07133","created_at":"2026-07-05T07:12:08Z"},{"alias_kind":"pith_short_12","alias_value":"SM3556S4DQRG","created_at":"2026-07-05T07:12:08Z"},{"alias_kind":"pith_short_16","alias_value":"SM3556S4DQRGGA3U","created_at":"2026-07-05T07:12:08Z"},{"alias_kind":"pith_short_8","alias_value":"SM3556S4","created_at":"2026-07-05T07:12:08Z"}],"graph_snapshots":[{"event_id":"sha256:5b063bc541822252be85dfcda87c172c2aa934c5b342ec0ce8a840d3dc326589","target":"graph","created_at":"2026-07-05T07:12:08Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2311.07133/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We define a birational map between labelings of a rectangular poset and its associated trapezoidal poset. This map tropicalizes to a bijection between the plane partitions of these posets of fixed height, giving a new bijective proof of a result by Proctor. We also show that this map is equivariant with respect to birational rowmotion, resolving a conjecture of Williams and implying that birational rowmotion on trapezoidal posets has finite order.","authors_text":"Joseph Johnson, Ricky Ini Liu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-11-13T08:00:53Z","title":"Plane partitions and rowmotion on rectangular and trapezoidal posets"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2311.07133","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":"sha256:211a52ca8fa3f5ba8f1c11f193f9e479333a525676dc711fb4b6d7a7b6ec7ffc","target":"record","created_at":"2026-07-05T07:12:08Z","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":"97aded9f5449b2c6240aed7462fc0f20ec66c4f27037bfd1eceb8db9c6f5dd76","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2023-11-13T08:00:53Z","title_canon_sha256":"6a5327d147a8b539c8e51e05b0d4cbbe5023804113e808142cf401886a2428a7"},"schema_version":"1.0","source":{"id":"2311.07133","kind":"arxiv","version":1}},"canonical_sha256":"9337defa5c1c226303740734af0d584f8e211ebff58a01a9a1b655f09f3dd516","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9337defa5c1c226303740734af0d584f8e211ebff58a01a9a1b655f09f3dd516","first_computed_at":"2026-07-05T07:12:08.395654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:12:08.395654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FUypjUCKAwvgubbxFZuL5SLz6i1uxvM1nMgC3H0DtEZznTa+2rIBAMvwf8cUHDwQUTSsDPV/n89IPcgO15kFAg==","signature_status":"signed_v1","signed_at":"2026-07-05T07:12:08.396011Z","signed_message":"canonical_sha256_bytes"},"source_id":"2311.07133","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:211a52ca8fa3f5ba8f1c11f193f9e479333a525676dc711fb4b6d7a7b6ec7ffc","sha256:5b063bc541822252be85dfcda87c172c2aa934c5b342ec0ce8a840d3dc326589"],"state_sha256":"53d0536c704d0b6ec0ccb0c48e8f8fae8da23fe212e8d52d829ef960882f5b4a"}