{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:TVLBLQH5NJ6FLE6U36F4C7OSML","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":"106c24bbb43c20a1a4d93d93cf92b233285e7a3ecb6281f1c7ae932265eff622","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-16T21:50:27Z","title_canon_sha256":"0b36e03377f74f3950ea5daaa337528c7213543296e429bd44b2428b8c145041"},"schema_version":"1.0","source":{"id":"1509.05070","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1509.05070","created_at":"2026-05-18T01:32:49Z"},{"alias_kind":"arxiv_version","alias_value":"1509.05070v1","created_at":"2026-05-18T01:32:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1509.05070","created_at":"2026-05-18T01:32:49Z"},{"alias_kind":"pith_short_12","alias_value":"TVLBLQH5NJ6F","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"TVLBLQH5NJ6FLE6U","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"TVLBLQH5","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:d6e93922d66b88e6772adff357b2f4a0ca66989ad12b0a90bdc5dda83a90caea","target":"graph","created_at":"2026-05-18T01:32:49Z","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 construct an irreversible local Markov dynamics on configurations of up-right paths on a discrete two-dimensional torus, that preserves the Gibbs measures for the six vertex model. An additional feature of the dynamics is a conjecturally nontrivial drift of the height function.","authors_text":"Alexei Borodin, Alexey Bufetov","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-16T21:50:27Z","title":"An irreversible local Markov chain that preserves the six vertex model on a torus"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1509.05070","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:cb30a2158259f17e41def9b7e716258ef4c7814ee9c49d90a729b4646b03d2db","target":"record","created_at":"2026-05-18T01:32:49Z","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":"106c24bbb43c20a1a4d93d93cf92b233285e7a3ecb6281f1c7ae932265eff622","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2015-09-16T21:50:27Z","title_canon_sha256":"0b36e03377f74f3950ea5daaa337528c7213543296e429bd44b2428b8c145041"},"schema_version":"1.0","source":{"id":"1509.05070","kind":"arxiv","version":1}},"canonical_sha256":"9d5615c0fd6a7c5593d4df8bc17dd262f4f2b0f3b723b4f2a8a9fc7b9be55275","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9d5615c0fd6a7c5593d4df8bc17dd262f4f2b0f3b723b4f2a8a9fc7b9be55275","first_computed_at":"2026-05-18T01:32:49.985450Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:49.985450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PA1tZuwqq87XIR/XHrWDTTyWyZ8chMYJ6z4N8moTp+cR6jkAx97WXngC1NoxeDUyCtLCRZXBCsEYl0+/0tuVAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:49.986249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1509.05070","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb30a2158259f17e41def9b7e716258ef4c7814ee9c49d90a729b4646b03d2db","sha256:d6e93922d66b88e6772adff357b2f4a0ca66989ad12b0a90bdc5dda83a90caea"],"state_sha256":"dcdf4fe970e22b0c9260450d88e6009f0e2251e4612a724f40da45ca7cbcbd5f"}