{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EG7Z3UATD2UL66LMHOYOR6NSKF","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":"12b62dcf25d13edc46c6bacb0794facda0c54a9e1cbc91a81b6e6828acf5ec58","cross_cats_sorted":["cond-mat.str-el","physics.comp-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-21T07:08:11Z","title_canon_sha256":"7d0458e6ddae79359c79679a6151d2905cce44cfe4db3fb2169ae70f28a9e042"},"schema_version":"1.0","source":{"id":"1102.4149","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.4149","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"arxiv_version","alias_value":"1102.4149v3","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.4149","created_at":"2026-05-18T04:08:05Z"},{"alias_kind":"pith_short_12","alias_value":"EG7Z3UATD2UL","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EG7Z3UATD2UL66LM","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EG7Z3UAT","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:503f4bd284940c8dd9664b28bde794365043f5cf4a9a72153483739c64b084b1","target":"graph","created_at":"2026-05-18T04:08:05Z","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":"To determine the universality class of critical phenomena, we propose a method of statistical inference in the scaling analysis of critical phenomena. The method is based on Bayesian statistics, most specifically, the Gaussian process regression. It assumes only the smoothness of a scaling function, and it does not need a form. We demonstrate this method for the finite-size scaling analysis of the Ising models on square and triangular lattices. Near the critical point, the method is comparable in accuracy to the least-square method. In addition, it works well for data to which we cannot apply ","authors_text":"Kenji Harada","cross_cats":["cond-mat.str-el","physics.comp-ph","physics.data-an"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-21T07:08:11Z","title":"Bayesian Inference in the Scaling Analysis of Critical Phenomena"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.4149","kind":"arxiv","version":3},"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":"sha256:54f31456903c0ece5484faef20ba1b89ba3196a35ff5f9171df983e3b2187684","target":"record","created_at":"2026-05-18T04:08:05Z","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":"12b62dcf25d13edc46c6bacb0794facda0c54a9e1cbc91a81b6e6828acf5ec58","cross_cats_sorted":["cond-mat.str-el","physics.comp-ph","physics.data-an"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-02-21T07:08:11Z","title_canon_sha256":"7d0458e6ddae79359c79679a6151d2905cce44cfe4db3fb2169ae70f28a9e042"},"schema_version":"1.0","source":{"id":"1102.4149","kind":"arxiv","version":3}},"canonical_sha256":"21bf9dd0131ea8bf796c3bb0e8f9b2516430bce5d7a8465b20b56c2819fc35b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21bf9dd0131ea8bf796c3bb0e8f9b2516430bce5d7a8465b20b56c2819fc35b8","first_computed_at":"2026-05-18T04:08:05.213972Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:08:05.213972Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HPw737TT9nBH7gyFkPj1kAcSogjtaShk8dnkH58fJsy/GzDcJ/gXgUcumhQwcaCUY0fd7IjXAzJuq0t1qn0+Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:08:05.214461Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.4149","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54f31456903c0ece5484faef20ba1b89ba3196a35ff5f9171df983e3b2187684","sha256:503f4bd284940c8dd9664b28bde794365043f5cf4a9a72153483739c64b084b1"],"state_sha256":"2fa0eae45af9c84fa4d0b50e50f0f19d99a385d91f8e0049280838c229fd027f"}