{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:VNT7BPZAWPBNEAFQLT3QAZRCIU","short_pith_number":"pith:VNT7BPZA","schema_version":"1.0","canonical_sha256":"ab67f0bf20b3c2d200b05cf700662245140910056d2a537cc4568af6aec829ef","source":{"kind":"arxiv","id":"1303.1605","version":2},"attestation_state":"computed","paper":{"title":"Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Hui Ma, Lei-Han Tang, Liang Tian, Wenan Guo","submitted_at":"2013-03-07T04:55:44Z","abstract_excerpt":"We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q>=1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions."},"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":"1303.1605","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2013-03-07T04:55:44Z","cross_cats_sorted":["cond-mat.stat-mech"],"title_canon_sha256":"d75f4ad4f0f39cd25a6494602619dc37e1cc63912f7be843c57de676e1a295fd","abstract_canon_sha256":"d57e8d9e4c99774ad0f5e30a121b4e11237fe3193d80036c91745955ffa3f99d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:51:15.884234Z","signature_b64":"TyL1YjVRlWT5nwXscdnAp+6kmo7bpB3WtwxItwTIipRIUA0IcB9/YrVpxVW/TVkk3N+4kDkKA0dUoX8QyDrfCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ab67f0bf20b3c2d200b05cf700662245140910056d2a537cc4568af6aec829ef","last_reissued_at":"2026-05-18T01:51:15.883342Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:51:15.883342Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech"],"primary_cat":"cond-mat.dis-nn","authors_text":"Hui Ma, Lei-Han Tang, Liang Tian, Wenan Guo","submitted_at":"2013-03-07T04:55:44Z","abstract_excerpt":"We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q>=1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.1605","kind":"arxiv","version":2},"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":"1303.1605","created_at":"2026-05-18T01:51:15.883487+00:00"},{"alias_kind":"arxiv_version","alias_value":"1303.1605v2","created_at":"2026-05-18T01:51:15.883487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.1605","created_at":"2026-05-18T01:51:15.883487+00:00"},{"alias_kind":"pith_short_12","alias_value":"VNT7BPZAWPBN","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_16","alias_value":"VNT7BPZAWPBNEAFQ","created_at":"2026-05-18T12:28:04.890932+00:00"},{"alias_kind":"pith_short_8","alias_value":"VNT7BPZA","created_at":"2026-05-18T12:28:04.890932+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/VNT7BPZAWPBNEAFQLT3QAZRCIU","json":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU.json","graph_json":"https://pith.science/api/pith-number/VNT7BPZAWPBNEAFQLT3QAZRCIU/graph.json","events_json":"https://pith.science/api/pith-number/VNT7BPZAWPBNEAFQLT3QAZRCIU/events.json","paper":"https://pith.science/paper/VNT7BPZA"},"agent_actions":{"view_html":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU","download_json":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU.json","view_paper":"https://pith.science/paper/VNT7BPZA","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1303.1605&json=true","fetch_graph":"https://pith.science/api/pith-number/VNT7BPZAWPBNEAFQLT3QAZRCIU/graph.json","fetch_events":"https://pith.science/api/pith-number/VNT7BPZAWPBNEAFQLT3QAZRCIU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU/action/storage_attestation","attest_author":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU/action/author_attestation","sign_citation":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU/action/citation_signature","submit_replication":"https://pith.science/pith/VNT7BPZAWPBNEAFQLT3QAZRCIU/action/replication_record"}},"created_at":"2026-05-18T01:51:15.883487+00:00","updated_at":"2026-05-18T01:51:15.883487+00:00"}