{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:IRSAFSGW2PAZU4EWYU2GS42PW7","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":"2db333bd2c595c55a5ef4f58d605cb8c726d290087190a32489b929ecd655614","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-01-20T01:23:25Z","title_canon_sha256":"875df90c8f86fedc33422e1504a43f3dfabd619e8f01abe86461a7accaee5d19"},"schema_version":"1.0","source":{"id":"1001.3442","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1001.3442","created_at":"2026-07-04T17:20:00Z"},{"alias_kind":"arxiv_version","alias_value":"1001.3442v1","created_at":"2026-07-04T17:20:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1001.3442","created_at":"2026-07-04T17:20:00Z"},{"alias_kind":"pith_short_12","alias_value":"IRSAFSGW2PAZ","created_at":"2026-07-04T17:20:00Z"},{"alias_kind":"pith_short_16","alias_value":"IRSAFSGW2PAZU4EW","created_at":"2026-07-04T17:20:00Z"},{"alias_kind":"pith_short_8","alias_value":"IRSAFSGW","created_at":"2026-07-04T17:20:00Z"}],"graph_snapshots":[{"event_id":"sha256:5edf1cc17c784243bfd4d4d355572a9ad39890d7cd41dde5063745bea1ab5ffa","target":"graph","created_at":"2026-07-04T17:20:00Z","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/1001.3442/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct discrete time Markov chains that preserve the class of Schur processes on partitions and signatures.\n  One application is a simple exact sampling algorithm for q^{volume}-distributed skew plane partitions with an arbitrary back wall. Another application is a construction of Markov chains on infinite Gelfand-Tsetlin schemes that represent deterministic flows on the space of extreme characters of the infinite-dimensional unitary group.","authors_text":"Alexei Borodin","cross_cats":["math-ph","math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-01-20T01:23:25Z","title":"Schur dynamics of the Schur processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1001.3442","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:d05a2888647c27d101fabfe35ee616ece84ba6c17a041d2faf041815eed0a42b","target":"record","created_at":"2026-07-04T17:20:00Z","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":"2db333bd2c595c55a5ef4f58d605cb8c726d290087190a32489b929ecd655614","cross_cats_sorted":["math-ph","math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2010-01-20T01:23:25Z","title_canon_sha256":"875df90c8f86fedc33422e1504a43f3dfabd619e8f01abe86461a7accaee5d19"},"schema_version":"1.0","source":{"id":"1001.3442","kind":"arxiv","version":1}},"canonical_sha256":"446402c8d6d3c19a7096c53469734fb7db376d4eb36baf120ff142ab70bdbea4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"446402c8d6d3c19a7096c53469734fb7db376d4eb36baf120ff142ab70bdbea4","first_computed_at":"2026-07-04T17:20:00.508274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:20:00.508274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tivBr138zK/fPUXPNPWRppEeoZJQ7ewfZ83QaGbGCWZraUoeMhMQgiszFXV5jd2FeoHLlTYko/mbCZtavt79Aw==","signature_status":"signed_v1","signed_at":"2026-07-04T17:20:00.508687Z","signed_message":"canonical_sha256_bytes"},"source_id":"1001.3442","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d05a2888647c27d101fabfe35ee616ece84ba6c17a041d2faf041815eed0a42b","sha256:5edf1cc17c784243bfd4d4d355572a9ad39890d7cd41dde5063745bea1ab5ffa"],"state_sha256":"a2ff1e1b940f44de62f37573b758ef39fa360e0eeee2a371eb106a08848855b4"}