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They are explicitely computed as state sums over the decorated hyperbolic ideal tetrahedra of the {\\it idealization} of any fixed {\\it $\\Dd$-triangulation}; the $\\Dd$-triangulations a"},"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":"math/0306280","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.GT","submitted_at":"2003-06-19T07:58:47Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"71d96472b894bfb9b292cc1657e700e41965528db5cbd63f757317734780223e","abstract_canon_sha256":"e52373feae0ecc03af674d3314309e62b5bb335ce61e3626d1356e3ae56126a2"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:37:32.196968Z","signature_b64":"8h+UdViY+H4m7bRU86Xk1LN20n5GVYUyZV06PXWr2e65hIHec4NLAJebM7SKxHMzoKPfoX9DBqTbFSutWzJ8DA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad7883803d8916569d13459de278ec7d8cf81f26f4c0bc7d63d4c1637ce3244d","last_reissued_at":"2026-07-04T14:37:32.196580Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:37:32.196580Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Quantum Hyperbolic Invariants Of 3-Manifolds With PSL(2,C)-Characters","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"math.GT","authors_text":"R. 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