{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:BKP4YP3R3OVDCVG4UDTVVHQ34H","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":"229a63e7771a8a1341e6dbef0987dfa5d612532a6d6a83d731196e3655388b96","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-02-02T11:56:57Z","title_canon_sha256":"e7ee5691705932ad22c87a016034c438efd3369a02fdd1f069970af534d1f5d0"},"schema_version":"1.0","source":{"id":"hep-th/9502014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9502014","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9502014v1","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9502014","created_at":"2026-05-18T01:06:03Z"},{"alias_kind":"pith_short_12","alias_value":"BKP4YP3R3OVD","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"BKP4YP3R3OVDCVG4","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"BKP4YP3R","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:34bdd9192157cd501d9e232464eb831204616fe8e28f4a598bfbe463f2d3e5d9","target":"graph","created_at":"2026-05-18T01:06:03Z","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 propose a matrix-model derivation of the scaling exponents of the critical and tricritical q-states Potts model coupled to gravity on a sphere. In close analogy with the $O(n)$ model, we reduce the determination of the one-loop-to-vacuum expectation to the resolution of algebraic equations; and find the explicit scaling law for the case q=3.","authors_text":"Jean-Marc Daul","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1995-02-02T11:56:57Z","title":"Q-states Potts model on a random planar lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9502014","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":"sha256:7513e89ff1448ef4eff3492ed9f72ba5a81914d37b3e40edace5b4c80949a11f","target":"record","created_at":"2026-05-18T01:06:03Z","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":"229a63e7771a8a1341e6dbef0987dfa5d612532a6d6a83d731196e3655388b96","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1995-02-02T11:56:57Z","title_canon_sha256":"e7ee5691705932ad22c87a016034c438efd3369a02fdd1f069970af534d1f5d0"},"schema_version":"1.0","source":{"id":"hep-th/9502014","kind":"arxiv","version":1}},"canonical_sha256":"0a9fcc3f71dbaa3154dca0e75a9e1be1eee7bc4f7d5596bebb3bdf2d13091591","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0a9fcc3f71dbaa3154dca0e75a9e1be1eee7bc4f7d5596bebb3bdf2d13091591","first_computed_at":"2026-05-18T01:06:03.503871Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:06:03.503871Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3T4/w0iUNxVw9/d5IUKRyB8+OtzxfUSbWc5bqLAONwLbCydrK1QLxdmA1/a7rAOLv+LsLwULq1Hupgcjmb2oCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:06:03.504568Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9502014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7513e89ff1448ef4eff3492ed9f72ba5a81914d37b3e40edace5b4c80949a11f","sha256:34bdd9192157cd501d9e232464eb831204616fe8e28f4a598bfbe463f2d3e5d9"],"state_sha256":"1af23c288349d4286d00b2d2e3e0a6fc6f3053188c2f18b2ff8461b379b7e4d6"}