{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:DXNJFWEGERGMBROPSE5P2I2ZTO","short_pith_number":"pith:DXNJFWEG","schema_version":"1.0","canonical_sha256":"1dda92d886244cc0c5cf913afd23599bb700f0ff20f985f987f2e7bd182d3781","source":{"kind":"arxiv","id":"1403.2347","version":1},"attestation_state":"computed","paper":{"title":"On the volume conjecture for polyhedra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Fran\\c{c}ois Gu\\'eritaud, Francesco Costantino, Roland van der Veen","submitted_at":"2014-03-10T19:06:41Z","abstract_excerpt":"We formulate a generalization of the volume conjecture for planar graphs. Denoting by <G, c> the Kauffman bracket of the graph G whose edges are decorated by real \"colors\" c, the conjecture states that, under suitable conditions, certain evaluations of <G,kc> grow exponentially as k goes to infinity and the growth rate is the volume of a truncated hyperbolic hyperideal polyhedron whose one-skeleton is G (up to a local modification around all the vertices) and with dihedral angles given by c. We provide evidence for it, by deriving a system of recursions for the Kauffman brackets of planar grap"},"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":"1403.2347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-03-10T19:06:41Z","cross_cats_sorted":[],"title_canon_sha256":"caa3b79419824af3327af1302343fa4ad014730906e8730b5df623891ca60176","abstract_canon_sha256":"278c7e9a1ee9ffd755dcdd1d0179053e913582e74f0fb75c976d55984f84a1e0"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:56:44.758060Z","signature_b64":"3zigZXeCMbULXpvoesfpfAdSpynHctQVgPZn9w0RQmhi79gpJAhM4sL5pWldoevvENr5RPSowIdjOxfLJBCJDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1dda92d886244cc0c5cf913afd23599bb700f0ff20f985f987f2e7bd182d3781","last_reissued_at":"2026-05-18T02:56:44.757471Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:56:44.757471Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the volume conjecture for polyhedra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Fran\\c{c}ois Gu\\'eritaud, Francesco Costantino, Roland van der Veen","submitted_at":"2014-03-10T19:06:41Z","abstract_excerpt":"We formulate a generalization of the volume conjecture for planar graphs. Denoting by <G, c> the Kauffman bracket of the graph G whose edges are decorated by real \"colors\" c, the conjecture states that, under suitable conditions, certain evaluations of <G,kc> grow exponentially as k goes to infinity and the growth rate is the volume of a truncated hyperbolic hyperideal polyhedron whose one-skeleton is G (up to a local modification around all the vertices) and with dihedral angles given by c. We provide evidence for it, by deriving a system of recursions for the Kauffman brackets of planar grap"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.2347","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":"1403.2347","created_at":"2026-05-18T02:56:44.757563+00:00"},{"alias_kind":"arxiv_version","alias_value":"1403.2347v1","created_at":"2026-05-18T02:56:44.757563+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.2347","created_at":"2026-05-18T02:56:44.757563+00:00"},{"alias_kind":"pith_short_12","alias_value":"DXNJFWEGERGM","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_16","alias_value":"DXNJFWEGERGMBROP","created_at":"2026-05-18T12:28:25.294606+00:00"},{"alias_kind":"pith_short_8","alias_value":"DXNJFWEG","created_at":"2026-05-18T12:28:25.294606+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/DXNJFWEGERGMBROPSE5P2I2ZTO","json":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO.json","graph_json":"https://pith.science/api/pith-number/DXNJFWEGERGMBROPSE5P2I2ZTO/graph.json","events_json":"https://pith.science/api/pith-number/DXNJFWEGERGMBROPSE5P2I2ZTO/events.json","paper":"https://pith.science/paper/DXNJFWEG"},"agent_actions":{"view_html":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO","download_json":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO.json","view_paper":"https://pith.science/paper/DXNJFWEG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1403.2347&json=true","fetch_graph":"https://pith.science/api/pith-number/DXNJFWEGERGMBROPSE5P2I2ZTO/graph.json","fetch_events":"https://pith.science/api/pith-number/DXNJFWEGERGMBROPSE5P2I2ZTO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO/action/storage_attestation","attest_author":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO/action/author_attestation","sign_citation":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO/action/citation_signature","submit_replication":"https://pith.science/pith/DXNJFWEGERGMBROPSE5P2I2ZTO/action/replication_record"}},"created_at":"2026-05-18T02:56:44.757563+00:00","updated_at":"2026-05-18T02:56:44.757563+00:00"}