{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AJ62ARG3FGZRWISDOOB7SZECRM","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":"b3969542972297572d7242a56218dcf3a8a0ad5f8a4dd659ed2bde291d37db23","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-05T12:08:37Z","title_canon_sha256":"e8834577bcc36c0b89c70d87b02bd3e1bcda88dd97671934e6312d2cad5c66dd"},"schema_version":"1.0","source":{"id":"1406.1353","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.1353","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"arxiv_version","alias_value":"1406.1353v3","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.1353","created_at":"2026-05-18T01:43:01Z"},{"alias_kind":"pith_short_12","alias_value":"AJ62ARG3FGZR","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AJ62ARG3FGZRWISD","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AJ62ARG3","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:61fcdb3f6b71e7fdc57142339ffe18fa767e2f1449eeceeaf9086cf91f5fa8d2","target":"graph","created_at":"2026-05-18T01:43:01Z","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 study two $Q$-state Potts models coupled by the product of their energy operators, in the regime $2 < Q \\le 4$ where the coupling is relevant. A particular choice of weights on the square lattice is shown to be equivalent to the integrable $a_3^{(2)}$ vertex model. It corresponds to a selfdual system of two antiferromagnetic Potts models, coupled ferromagnetically. We derive the Bethe Ansatz equations and study them numerically for two arbitrary twist angles. The continuum limit is shown to involve two compact bosons and one non compact boson, with discrete states emerging from the continuu","authors_text":"Eric Vernier, Hubert Saleur, Jesper Lykke Jacobsen","cross_cats":["cond-mat.stat-mech","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-05T12:08:37Z","title":"Non compact continuum limit of two coupled Potts models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.1353","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:c46532f0e897de6abc69e98ab057e4995f5223eb9a2b2f1e4f69af04a8b885fb","target":"record","created_at":"2026-05-18T01:43:01Z","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":"b3969542972297572d7242a56218dcf3a8a0ad5f8a4dd659ed2bde291d37db23","cross_cats_sorted":["cond-mat.stat-mech","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-05T12:08:37Z","title_canon_sha256":"e8834577bcc36c0b89c70d87b02bd3e1bcda88dd97671934e6312d2cad5c66dd"},"schema_version":"1.0","source":{"id":"1406.1353","kind":"arxiv","version":3}},"canonical_sha256":"027da044db29b31b22437383f964828b0beef25e545885c2360f69edf8c251a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"027da044db29b31b22437383f964828b0beef25e545885c2360f69edf8c251a1","first_computed_at":"2026-05-18T01:43:01.888102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:43:01.888102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NAYcPyHaFqR/Gc0cqNY98d/pilTPgNhZBg7WTTOFB7JV4MBCqNKNAM6KulzM1YOIgojdlqCXE7+1d5HuTOm/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:43:01.888513Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.1353","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c46532f0e897de6abc69e98ab057e4995f5223eb9a2b2f1e4f69af04a8b885fb","sha256:61fcdb3f6b71e7fdc57142339ffe18fa767e2f1449eeceeaf9086cf91f5fa8d2"],"state_sha256":"d5c8b65569abafd83f2444fdf2f574eba200e54014a5f5bdc7850814fcd20f2f"}