{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:YZTIMXWM4ZPBS6S5URQYT6EBTF","short_pith_number":"pith:YZTIMXWM","schema_version":"1.0","canonical_sha256":"c666865ecce65e197a5da46189f8819951e3f4061fa899655fd29892caaf641a","source":{"kind":"arxiv","id":"1307.0095","version":1},"attestation_state":"computed","paper":{"title":"T-systems, networks and dimers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"P. Di Francesco","submitted_at":"2013-06-29T12:38:12Z","abstract_excerpt":"We study the solutions of the T-system for type A, also known as the octahedron equation, viewed as a 2+1-dimensional discrete evolution equation. These may be expressed entirely in terms of the stepped surface over which the initial data are specified, via a suitably defined flat $GL_n$ connection which embodies the integrability of this infinite rank system. By interpreting the connection as the transfer operator for a directed graph or network with weighted edges, we show that the solution at a given point is expressed as the partition function for dimers on a bipartite graph dual to the \"s"},"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":"1307.0095","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-29T12:38:12Z","cross_cats_sorted":["cond-mat.stat-mech","math.CO","math.MP"],"title_canon_sha256":"9410f086e512fb82f89423fcadacea47ec745eaa7bb34ffbeaebf5b614a04bc6","abstract_canon_sha256":"a13feeb5dea58b309f456150ee3a3afe6e5ecd2e40671d5bcdf8a01dc838ba31"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:06.267128Z","signature_b64":"BNJQCP7SrYFuTr7hKI+VlAbGdTyqKZfbaBlu3JZ7EGXsJGvpVYzS+DuH1eGdqQ4MEYZdMoNBYuNMRijK+GjWCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c666865ecce65e197a5da46189f8819951e3f4061fa899655fd29892caaf641a","last_reissued_at":"2026-05-18T01:49:06.266593Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:06.266593Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"T-systems, networks and dimers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math.CO","math.MP"],"primary_cat":"math-ph","authors_text":"P. Di Francesco","submitted_at":"2013-06-29T12:38:12Z","abstract_excerpt":"We study the solutions of the T-system for type A, also known as the octahedron equation, viewed as a 2+1-dimensional discrete evolution equation. These may be expressed entirely in terms of the stepped surface over which the initial data are specified, via a suitably defined flat $GL_n$ connection which embodies the integrability of this infinite rank system. By interpreting the connection as the transfer operator for a directed graph or network with weighted edges, we show that the solution at a given point is expressed as the partition function for dimers on a bipartite graph dual to the \"s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.0095","kind":"arxiv","version":1},"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":"1307.0095","created_at":"2026-05-18T01:49:06.266679+00:00"},{"alias_kind":"arxiv_version","alias_value":"1307.0095v1","created_at":"2026-05-18T01:49:06.266679+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.0095","created_at":"2026-05-18T01:49:06.266679+00:00"},{"alias_kind":"pith_short_12","alias_value":"YZTIMXWM4ZPB","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_16","alias_value":"YZTIMXWM4ZPBS6S5","created_at":"2026-05-18T12:28:09.283467+00:00"},{"alias_kind":"pith_short_8","alias_value":"YZTIMXWM","created_at":"2026-05-18T12:28:09.283467+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/YZTIMXWM4ZPBS6S5URQYT6EBTF","json":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF.json","graph_json":"https://pith.science/api/pith-number/YZTIMXWM4ZPBS6S5URQYT6EBTF/graph.json","events_json":"https://pith.science/api/pith-number/YZTIMXWM4ZPBS6S5URQYT6EBTF/events.json","paper":"https://pith.science/paper/YZTIMXWM"},"agent_actions":{"view_html":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF","download_json":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF.json","view_paper":"https://pith.science/paper/YZTIMXWM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1307.0095&json=true","fetch_graph":"https://pith.science/api/pith-number/YZTIMXWM4ZPBS6S5URQYT6EBTF/graph.json","fetch_events":"https://pith.science/api/pith-number/YZTIMXWM4ZPBS6S5URQYT6EBTF/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF/action/timestamp_anchor","attest_storage":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF/action/storage_attestation","attest_author":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF/action/author_attestation","sign_citation":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF/action/citation_signature","submit_replication":"https://pith.science/pith/YZTIMXWM4ZPBS6S5URQYT6EBTF/action/replication_record"}},"created_at":"2026-05-18T01:49:06.266679+00:00","updated_at":"2026-05-18T01:49:06.266679+00:00"}