{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:TIXFBZ74HPKC3UYV5UXD6NLLBO","short_pith_number":"pith:TIXFBZ74","schema_version":"1.0","canonical_sha256":"9a2e50e7fc3bd42dd315ed2e3f356b0bbe18fa73aabe7a8cdef38a3b282d08d0","source":{"kind":"arxiv","id":"0912.4705","version":4},"attestation_state":"computed","paper":{"title":"Potts model on recursive lattices: some new exact results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Fabrizio Canfora, Pedro D. Alvarez, Sebastian A. Reyes, Simon Riquelme","submitted_at":"2009-12-23T19:55:36Z","abstract_excerpt":"We compute the partition function of the Potts model with arbitrary values of $q$ and temperature on some strip lattices. We consider strips of width $L_y=2$, for three different lattices: square, diced and `shortest-path' (to be defined in the text). We also get the exact solution for strips of the Kagome lattice for widths $L_y=2,3,4,5$. As further examples we consider two lattices with different type of regular symmetry: a strip with alternating layers of width $L_y=3$ and $L_y=m+2$, and a strip with variable width. Finally we make some remarks on the Fisher zeros for the Kagome lattice and"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"0912.4705","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2009-12-23T19:55:36Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"59d0870808230f0a11bffae825b47aacd9c01119cef8636831d6fe813d8ea3ec","abstract_canon_sha256":"126df32f2421f78ee6dbba327598f8a4ccf171caf4dc0f9ded3ccca3fd661d7f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:45.391944Z","signature_b64":"DaLDmINtsVo3sghw5ujwDu2t+GzRMH1v+PDptAdK548HOgHHzD9rKDNkFTMopgzBE3NlNaVn0jYtQ4W71woQDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9a2e50e7fc3bd42dd315ed2e3f356b0bbe18fa73aabe7a8cdef38a3b282d08d0","last_reissued_at":"2026-05-18T02:24:45.391470Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:45.391470Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Potts model on recursive lattices: some new exact results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"cond-mat.stat-mech","authors_text":"Fabrizio Canfora, Pedro D. Alvarez, Sebastian A. Reyes, Simon Riquelme","submitted_at":"2009-12-23T19:55:36Z","abstract_excerpt":"We compute the partition function of the Potts model with arbitrary values of $q$ and temperature on some strip lattices. We consider strips of width $L_y=2$, for three different lattices: square, diced and `shortest-path' (to be defined in the text). We also get the exact solution for strips of the Kagome lattice for widths $L_y=2,3,4,5$. As further examples we consider two lattices with different type of regular symmetry: a strip with alternating layers of width $L_y=3$ and $L_y=m+2$, and a strip with variable width. Finally we make some remarks on the Fisher zeros for the Kagome lattice and"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0912.4705","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"0912.4705","created_at":"2026-05-18T02:24:45.391543+00:00"},{"alias_kind":"arxiv_version","alias_value":"0912.4705v4","created_at":"2026-05-18T02:24:45.391543+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0912.4705","created_at":"2026-05-18T02:24:45.391543+00:00"},{"alias_kind":"pith_short_12","alias_value":"TIXFBZ74HPKC","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_16","alias_value":"TIXFBZ74HPKC3UYV","created_at":"2026-05-18T12:26:01.383474+00:00"},{"alias_kind":"pith_short_8","alias_value":"TIXFBZ74","created_at":"2026-05-18T12:26:01.383474+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO","json":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO.json","graph_json":"https://pith.science/api/pith-number/TIXFBZ74HPKC3UYV5UXD6NLLBO/graph.json","events_json":"https://pith.science/api/pith-number/TIXFBZ74HPKC3UYV5UXD6NLLBO/events.json","paper":"https://pith.science/paper/TIXFBZ74"},"agent_actions":{"view_html":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO","download_json":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO.json","view_paper":"https://pith.science/paper/TIXFBZ74","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0912.4705&json=true","fetch_graph":"https://pith.science/api/pith-number/TIXFBZ74HPKC3UYV5UXD6NLLBO/graph.json","fetch_events":"https://pith.science/api/pith-number/TIXFBZ74HPKC3UYV5UXD6NLLBO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO/action/storage_attestation","attest_author":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO/action/author_attestation","sign_citation":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO/action/citation_signature","submit_replication":"https://pith.science/pith/TIXFBZ74HPKC3UYV5UXD6NLLBO/action/replication_record"}},"created_at":"2026-05-18T02:24:45.391543+00:00","updated_at":"2026-05-18T02:24:45.391543+00:00"}