{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BMSDS44GRDCQ2KUQ3OWFEPWQRZ","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":"7b2c0bcac838b246086fa1d28f265936678e56c38211a00ce51cd3922bc7a5b4","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-11T13:58:48Z","title_canon_sha256":"88c30d89fc060470fb369e3b22732e814511f249a9b1ab6298daf23b86db1530"},"schema_version":"1.0","source":{"id":"1509.03515","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.03515","created_at":"2026-05-18T01:13:24Z"},{"alias_kind":"arxiv_version","alias_value":"1509.03515v3","created_at":"2026-05-18T01:13:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.03515","created_at":"2026-05-18T01:13:24Z"},{"alias_kind":"pith_short_12","alias_value":"BMSDS44GRDCQ","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BMSDS44GRDCQ2KUQ","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BMSDS44G","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:252d9b72dc1a7267dd6bd43460b059fa65d4864ff43612fa87957e641a0a02ea","target":"graph","created_at":"2026-05-18T01:13:24Z","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 reformulation of the geometric Robinson-Schensted-Knuth (gRSK) correspondence via local moves, introduced in \\cite{OSZ14} can be extended to cases where the input matrix is replaced by more general polygonal, Young-diagram-like, arrays of the form $\\polygon$. We also show that a rearrangement of the sequence of the local moves gives rise to a geometric version of the polynuclear growth model (PNG). These reformulations are used to obtain integral formulae for the Laplace transform of the joint distribution of the point-to-point partition functions of the log-gamma polymer at d","authors_text":"Nikos Zygouras, Vu-Lan Nguyen","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-11T13:58:48Z","title":"Variants of geometric RSK, geometric PNG and the multipoint distribution of the log-gamma polymer"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.03515","kind":"arxiv","version":3},"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:ead07adf229213f2ce523376dc9d88706c32b7243d9887e08df96cf1190e388d","target":"record","created_at":"2026-05-18T01:13:24Z","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":"7b2c0bcac838b246086fa1d28f265936678e56c38211a00ce51cd3922bc7a5b4","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-09-11T13:58:48Z","title_canon_sha256":"88c30d89fc060470fb369e3b22732e814511f249a9b1ab6298daf23b86db1530"},"schema_version":"1.0","source":{"id":"1509.03515","kind":"arxiv","version":3}},"canonical_sha256":"0b2439738688c50d2a90dbac523ed08e71b8c741b76961d46d03b7232497ab3c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b2439738688c50d2a90dbac523ed08e71b8c741b76961d46d03b7232497ab3c","first_computed_at":"2026-05-18T01:13:24.083718Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:13:24.083718Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jY8qUscrPzi53AWeU8p3ehyntrdkM9c0SScq+VZNCB2l+waaPlKsDFr6pLz+Bh2O/LXPIhtexptompJimuvBBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:13:24.084144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.03515","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ead07adf229213f2ce523376dc9d88706c32b7243d9887e08df96cf1190e388d","sha256:252d9b72dc1a7267dd6bd43460b059fa65d4864ff43612fa87957e641a0a02ea"],"state_sha256":"49bdd6f2bb693cdb3ce8cac090a76675e4cd39145fdcb3c29129abbc129a2044"}