{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:2CTBTAUOP3LJOZ2ODX47KW333N","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":"bb4ef8763d77b57311d01e509392a761bc0aab431a9e0b7b81b8d87f487aa80b","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"","primary_cat":"math-ph","submitted_at":"1999-11-09T12:42:59Z","title_canon_sha256":"dbc39cd140486ed6e3f881b79e228fbe23da918c61cf4392b3af2c11936a2bc6"},"schema_version":"1.0","source":{"id":"math-ph/9911011","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math-ph/9911011","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"arxiv_version","alias_value":"math-ph/9911011v1","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math-ph/9911011","created_at":"2026-05-18T01:38:30Z"},{"alias_kind":"pith_short_12","alias_value":"2CTBTAUOP3LJ","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"2CTBTAUOP3LJOZ2O","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"2CTBTAUO","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:345b5579f2d46d0926d4dfb3b153a4da1d4c5d815e929f37c5abb9f2b4169749","target":"graph","created_at":"2026-05-18T01:38:30Z","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 point out that the high-q Potts model on a regular lattice at its transition temperature provides an example of a non-robust - in the sense recently proposed by Pemantle and Steif- phase transition.","authors_text":"Aernout C.D. van Enter","cross_cats":["cond-mat.stat-mech","math.MP","math.PR"],"headline":"","license":"","primary_cat":"math-ph","submitted_at":"1999-11-09T12:42:59Z","title":"A remark on the notion of robust phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math-ph/9911011","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:a122ead95c6e4431d42049e464011ddad3ddc89e8877fd05a4ea17b231afbd7a","target":"record","created_at":"2026-05-18T01:38:30Z","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":"bb4ef8763d77b57311d01e509392a761bc0aab431a9e0b7b81b8d87f487aa80b","cross_cats_sorted":["cond-mat.stat-mech","math.MP","math.PR"],"license":"","primary_cat":"math-ph","submitted_at":"1999-11-09T12:42:59Z","title_canon_sha256":"dbc39cd140486ed6e3f881b79e228fbe23da918c61cf4392b3af2c11936a2bc6"},"schema_version":"1.0","source":{"id":"math-ph/9911011","kind":"arxiv","version":1}},"canonical_sha256":"d0a619828e7ed697674e1df9f55b7bdb4f1aa635cfa7990f24a58cd219775ab2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0a619828e7ed697674e1df9f55b7bdb4f1aa635cfa7990f24a58cd219775ab2","first_computed_at":"2026-05-18T01:38:30.451152Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:30.451152Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Mv7K1JDWtJW5XIGFaPq9h0i6KwTRuCbk/OgyP6CwSBlQcb7Z1kOkLGrJfqQuQhly9gZ1Hgvmk+eCWsNGn1xQDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:30.451629Z","signed_message":"canonical_sha256_bytes"},"source_id":"math-ph/9911011","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a122ead95c6e4431d42049e464011ddad3ddc89e8877fd05a4ea17b231afbd7a","sha256:345b5579f2d46d0926d4dfb3b153a4da1d4c5d815e929f37c5abb9f2b4169749"],"state_sha256":"557f10afdc6c30ec47000db1a1829e0e1581d24fadf5c39d70d030a6747a5990"}