{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RDOYYJ5JL7J4TG6O3HDHZSHGAH","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":"1e0fe9e73776886ce89d355c0954ae4e4d809e3eba77eafe188468d3268d4d50","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-28T14:53:14Z","title_canon_sha256":"17bd601ba1dfe0ab6c4bbf6aeb0b05adeb6558351e8927b69d439cd89f9879e0"},"schema_version":"1.0","source":{"id":"2605.30030","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.30030","created_at":"2026-05-29T02:06:07Z"},{"alias_kind":"arxiv_version","alias_value":"2605.30030v1","created_at":"2026-05-29T02:06:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.30030","created_at":"2026-05-29T02:06:07Z"},{"alias_kind":"pith_short_12","alias_value":"RDOYYJ5JL7J4","created_at":"2026-05-29T02:06:07Z"},{"alias_kind":"pith_short_16","alias_value":"RDOYYJ5JL7J4TG6O","created_at":"2026-05-29T02:06:07Z"},{"alias_kind":"pith_short_8","alias_value":"RDOYYJ5J","created_at":"2026-05-29T02:06:07Z"}],"graph_snapshots":[{"event_id":"sha256:91886da44ac91ce7184d435c0853c8a12d4fdafd1151fee020c24311352ed759","target":"graph","created_at":"2026-05-29T02:06:07Z","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/2605.30030/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Using the Baxter-Kelland-Wu coupling and the convergence of the height function of the six-vertex model to the Gaussian Free Field, we extract critical exponents for the planar critical random-cluster model at $q=4$, and the planar four-state Potts model.","authors_text":"Dmitry Krachun, Fran\\c{c}ois Jacopin, Hong-Bin Chen, Hugo Duminil-Copin, Ioan Manolescu, Jiaming Xia, Tiancheng He","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-28T14:53:14Z","title":"Critical exponents for planar random-cluster model with cluster-weight $q=4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.30030","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":"sha256:3df112e78f30cd8d6bb5a88c3fa608e4aad31568564bee8ab42aee60e4beef31","target":"record","created_at":"2026-05-29T02:06:07Z","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":"1e0fe9e73776886ce89d355c0954ae4e4d809e3eba77eafe188468d3268d4d50","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2026-05-28T14:53:14Z","title_canon_sha256":"17bd601ba1dfe0ab6c4bbf6aeb0b05adeb6558351e8927b69d439cd89f9879e0"},"schema_version":"1.0","source":{"id":"2605.30030","kind":"arxiv","version":1}},"canonical_sha256":"88dd8c27a95fd3c99bced9c67cc8e601ee191dc52c745a50eb590347f1a962e9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88dd8c27a95fd3c99bced9c67cc8e601ee191dc52c745a50eb590347f1a962e9","first_computed_at":"2026-05-29T02:06:07.732288Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-29T02:06:07.732288Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6sseqXQTH7bxT6YBCWJkVOCpn30suzeZM5uWCQvd0nT9O60fMFSH0xPt+f3IrS5UeP02YH5ur0MhaNOURD6QCw==","signature_status":"signed_v1","signed_at":"2026-05-29T02:06:07.732945Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.30030","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3df112e78f30cd8d6bb5a88c3fa608e4aad31568564bee8ab42aee60e4beef31","sha256:91886da44ac91ce7184d435c0853c8a12d4fdafd1151fee020c24311352ed759"],"state_sha256":"d252e458fe9d24e4110b8569b5a311d51e68ac6f69f8725c3ebc9d588aa98876"}