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The $\\SL(2,\\bC)$ character variety of the fundamental group of the complement of a trivalent graph with $E$ edges in $S^3$ is a Lagrangian subvariety of the Hitchin moduli space over the Riemann surface of genus $g=E/3+1$. For the theta and tetrahedron graph, we conjecture that the configuration of the character variety is locally determined by large color asymptotics of the quantum invariants of the triva"},"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":"1404.5119","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-04-21T06:06:43Z","cross_cats_sorted":["hep-th","math-ph","math.MP","math.QA"],"title_canon_sha256":"1c70984900ac327e8e1e95c0ed304c77bd9ca65477f7cd5680303ae49db9688d","abstract_canon_sha256":"3ad9dd4d6cb9d984d59358353e9bd7888840e45391c953eee42546edccd49c30"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:43:26.947329Z","signature_b64":"xljY/bWWxzhZDgKxdcXaPoi0KZS3odjWZKHmdKZb2FKUZPb8Wx27me3ES/6f7080esJ3L11bXckOPL7OceCnDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b4c71b37535d6573c05516ba3af23f4d7538338605032125bd501ff00824a4b2","last_reissued_at":"2026-05-18T01:43:26.946559Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:43:26.946559Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Trivalent graphs, volume conjectures and character varieties","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.MP","math.QA"],"primary_cat":"math.GT","authors_text":"P. 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