{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DRNPYTCY6CRLNSZQTP7SX7YOLY","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":"4533a11e2ae2841a5e70be66e6d87e26ceb5e335a1f7f09717a936e7d5d772e4","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2021-09-06T13:03:40Z","title_canon_sha256":"76740cfcc4fd6d539a0f224e68a7105821629d3dabe04bb5ed288f990c1da7da"},"schema_version":"1.0","source":{"id":"2109.02422","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2109.02422","created_at":"2026-07-05T04:38:11Z"},{"alias_kind":"arxiv_version","alias_value":"2109.02422v2","created_at":"2026-07-05T04:38:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2109.02422","created_at":"2026-07-05T04:38:11Z"},{"alias_kind":"pith_short_12","alias_value":"DRNPYTCY6CRL","created_at":"2026-07-05T04:38:11Z"},{"alias_kind":"pith_short_16","alias_value":"DRNPYTCY6CRLNSZQ","created_at":"2026-07-05T04:38:11Z"},{"alias_kind":"pith_short_8","alias_value":"DRNPYTCY","created_at":"2026-07-05T04:38:11Z"}],"graph_snapshots":[{"event_id":"sha256:97cdee1089cabe4c61fd1a45ec14c6e7417b8ceca871778f55b1928c48821d02","target":"graph","created_at":"2026-07-05T04:38:11Z","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/2109.02422/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The six-vertex model is an important toy-model in statistical mechanics for two-dimensional ice with a natural parameter $\\Delta$. When $\\Delta = 0$, the so-called free-fermion point, the model is in natural correspondence with domino tilings of the Aztec diamond. Although this model is integrable for all $\\Delta$, there has been very little progress in understanding its statistics in the scaling limit for other values. In this work, we focus on the six-vertex model with domain wall boundary conditions at $\\Delta = 1/2$, where it corresponds to alternating sign matrices (ASMs). We consider the","authors_text":"Arvind Ayyer, Kurt Johansson, Sunil Chhita","cross_cats":["math-ph","math.CO","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2021-09-06T13:03:40Z","title":"GOE fluctuations for the maximum of the top path in alternating sign matrices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.02422","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:b96333eb9a58132a2272952e6fdbdb1567db4579b896021df6ac41221b3073be","target":"record","created_at":"2026-07-05T04:38:11Z","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":"4533a11e2ae2841a5e70be66e6d87e26ceb5e335a1f7f09717a936e7d5d772e4","cross_cats_sorted":["math-ph","math.CO","math.MP"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2021-09-06T13:03:40Z","title_canon_sha256":"76740cfcc4fd6d539a0f224e68a7105821629d3dabe04bb5ed288f990c1da7da"},"schema_version":"1.0","source":{"id":"2109.02422","kind":"arxiv","version":2}},"canonical_sha256":"1c5afc4c58f0a2b6cb309bff2bff0e5e023e1977809afb67c00e9c5a00c78b94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1c5afc4c58f0a2b6cb309bff2bff0e5e023e1977809afb67c00e9c5a00c78b94","first_computed_at":"2026-07-05T04:38:11.298842Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:38:11.298842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Kj+HQn66HhsRvOaSEneHoqiiHg9gRhWpcCV3QqGrk+Dfs6mln2L3N8E21j4XxfMisT44XhKx+/EdKhA0UFdICw==","signature_status":"signed_v1","signed_at":"2026-07-05T04:38:11.299297Z","signed_message":"canonical_sha256_bytes"},"source_id":"2109.02422","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b96333eb9a58132a2272952e6fdbdb1567db4579b896021df6ac41221b3073be","sha256:97cdee1089cabe4c61fd1a45ec14c6e7417b8ceca871778f55b1928c48821d02"],"state_sha256":"a2a21ec4792041c44bbf0968cc38a72cf35289391b9e4246bc7e3b2361c4b4c7"}