{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DRNPYTCY6CRLNSZQTP7SX7YOLY","short_pith_number":"pith:DRNPYTCY","canonical_record":{"source":{"id":"2109.02422","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2021-09-06T13:03:40Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"76740cfcc4fd6d539a0f224e68a7105821629d3dabe04bb5ed288f990c1da7da","abstract_canon_sha256":"4533a11e2ae2841a5e70be66e6d87e26ceb5e335a1f7f09717a936e7d5d772e4"},"schema_version":"1.0"},"canonical_sha256":"1c5afc4c58f0a2b6cb309bff2bff0e5e023e1977809afb67c00e9c5a00c78b94","source":{"kind":"arxiv","id":"2109.02422","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DRNPYTCY6CRLNSZQTP7SX7YOLY","target":"record","payload":{"canonical_record":{"source":{"id":"2109.02422","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.PR","submitted_at":"2021-09-06T13:03:40Z","cross_cats_sorted":["math-ph","math.CO","math.MP"],"title_canon_sha256":"76740cfcc4fd6d539a0f224e68a7105821629d3dabe04bb5ed288f990c1da7da","abstract_canon_sha256":"4533a11e2ae2841a5e70be66e6d87e26ceb5e335a1f7f09717a936e7d5d772e4"},"schema_version":"1.0"},"canonical_sha256":"1c5afc4c58f0a2b6cb309bff2bff0e5e023e1977809afb67c00e9c5a00c78b94","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:38:11.299297Z","signature_b64":"Kj+HQn66HhsRvOaSEneHoqiiHg9gRhWpcCV3QqGrk+Dfs6mln2L3N8E21j4XxfMisT44XhKx+/EdKhA0UFdICw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1c5afc4c58f0a2b6cb309bff2bff0e5e023e1977809afb67c00e9c5a00c78b94","last_reissued_at":"2026-07-05T04:38:11.298842Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:38:11.298842Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2109.02422","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:38:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kM6qI8sANukdEuo9xMyx3gnSwXXeLjgK4NnhsBwal/eA6+ME9t7uvBaWjjBqhmynDCGV1TWk1+RHadqrhYKHAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:14:12.516687Z"},"content_sha256":"b96333eb9a58132a2272952e6fdbdb1567db4579b896021df6ac41221b3073be","schema_version":"1.0","event_id":"sha256:b96333eb9a58132a2272952e6fdbdb1567db4579b896021df6ac41221b3073be"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DRNPYTCY6CRLNSZQTP7SX7YOLY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"GOE fluctuations for the maximum of the top path in alternating sign matrices","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["math-ph","math.CO","math.MP"],"primary_cat":"math.PR","authors_text":"Arvind Ayyer, Kurt Johansson, Sunil Chhita","submitted_at":"2021-09-06T13:03:40Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2109.02422","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2109.02422/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T04:38:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mz6wtoyqpGFnkcjDrwSL6oO3k3OeBgW2fDw5vFW2N2lqugfQJdmiFBm0A7vcS2P9IWdllgpnXzNnP93aDVm7CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T15:14:12.517216Z"},"content_sha256":"97cdee1089cabe4c61fd1a45ec14c6e7417b8ceca871778f55b1928c48821d02","schema_version":"1.0","event_id":"sha256:97cdee1089cabe4c61fd1a45ec14c6e7417b8ceca871778f55b1928c48821d02"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY/bundle.json","state_url":"https://pith.science/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-09T15:14:12Z","links":{"resolver":"https://pith.science/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY","bundle":"https://pith.science/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY/bundle.json","state":"https://pith.science/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DRNPYTCY6CRLNSZQTP7SX7YOLY/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xCPXk21J6BuWAIKVRksmXCnFMa76QGRqKXlShd2eqJlOX6MaUttQq+q7+EBcQzn+f5sHbBV2+ud6Nn8CGMY9BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T15:14:12.522736Z","bundle_sha256":"8e695af75a2828ae6720418ef98576c93905452dbbd2f8ec8bc0f4c689d6d3b6"}}