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We construct a Hermitian holomorphic line bundle $\\mc{L}$ on $\\mc{T}$, with curvature equal to a multiple of the Weil-Petersson symplectic form. This bundle has a canonical holomorphic section defined by $e^{\\frac{1}{\\pi}{\\rm Vol}_R(X)+2\\pi i\\CS(X)}$ where ${\\rm Vol}_R(X)$ is the renormalized volume of $X$ and $\\CS(X)$ is the Chern-Simo"},"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":"1102.1981","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-02-09T21:01:52Z","cross_cats_sorted":["math-ph","math.GT","math.MP"],"title_canon_sha256":"5841f3f4857f51685f7e49fa97dc51be78590569f7ec50208904d87c79c13bf3","abstract_canon_sha256":"877a2b24941eb04c569de1c8ab2cb14211795f85bffc6a464fcc73a40d93d764"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:17:02.754664Z","signature_b64":"vj8M9ZfY3/GVymqvYBZ8DgdHyep6PDolkBqBmB0JvviIlnxEfRwGTypiV59RyLhaIj6VHB686N8mjt+i6i/+Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f50d58abd41746cd9bfdb81db7f01f4c5faa5ef5cbf7693b57dee542f275587","last_reissued_at":"2026-05-18T04:17:02.754074Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:17:02.754074Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Chern-Simons line bundle on Teichm\\\"uller space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.GT","math.MP"],"primary_cat":"math.DG","authors_text":"Colin Guillarmou, Sergiu Moroianu","submitted_at":"2011-02-09T21:01:52Z","abstract_excerpt":"Let $X$ be a non-compact geometrically finite hyperbolic 3-manifold without cusps of rank 1. 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This bundle has a canonical holomorphic section defined by $e^{\\frac{1}{\\pi}{\\rm Vol}_R(X)+2\\pi i\\CS(X)}$ where ${\\rm Vol}_R(X)$ is the renormalized volume of $X$ and $\\CS(X)$ is the Chern-Simo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.1981","kind":"arxiv","version":3},"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":"1102.1981","created_at":"2026-05-18T04:17:02.754168+00:00"},{"alias_kind":"arxiv_version","alias_value":"1102.1981v3","created_at":"2026-05-18T04:17:02.754168+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.1981","created_at":"2026-05-18T04:17:02.754168+00:00"},{"alias_kind":"pith_short_12","alias_value":"F5INLCV5IF2G","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_16","alias_value":"F5INLCV5IF2GZWN7","created_at":"2026-05-18T12:26:28.662955+00:00"},{"alias_kind":"pith_short_8","alias_value":"F5INLCV5","created_at":"2026-05-18T12:26:28.662955+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/F5INLCV5IF2GZWN73OA5W7YB6T","json":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T.json","graph_json":"https://pith.science/api/pith-number/F5INLCV5IF2GZWN73OA5W7YB6T/graph.json","events_json":"https://pith.science/api/pith-number/F5INLCV5IF2GZWN73OA5W7YB6T/events.json","paper":"https://pith.science/paper/F5INLCV5"},"agent_actions":{"view_html":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T","download_json":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T.json","view_paper":"https://pith.science/paper/F5INLCV5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1102.1981&json=true","fetch_graph":"https://pith.science/api/pith-number/F5INLCV5IF2GZWN73OA5W7YB6T/graph.json","fetch_events":"https://pith.science/api/pith-number/F5INLCV5IF2GZWN73OA5W7YB6T/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T/action/timestamp_anchor","attest_storage":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T/action/storage_attestation","attest_author":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T/action/author_attestation","sign_citation":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T/action/citation_signature","submit_replication":"https://pith.science/pith/F5INLCV5IF2GZWN73OA5W7YB6T/action/replication_record"}},"created_at":"2026-05-18T04:17:02.754168+00:00","updated_at":"2026-05-18T04:17:02.754168+00:00"}