{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:2XHASAMJIGV2XFCPN3P3Y3PCGO","short_pith_number":"pith:2XHASAMJ","schema_version":"1.0","canonical_sha256":"d5ce09018941abab944f6edfbc6de2339253c2b88d8419a519eba8c710f9cb0a","source":{"kind":"arxiv","id":"1803.05418","version":1},"attestation_state":"computed","paper":{"title":"The DOZZ Formula from the Path Integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Antti Kupiainen, R\\'emi Rhodes, Vincent Vargas","submitted_at":"2018-03-14T17:35:16Z","abstract_excerpt":"We present a rigorous proof of the Dorn, Otto, Zamolodchikov, Zamolodchikov formula (the DOZZ formula) for the 3 point structure constants of Liouville Conformal Field Theory (LCFT) starting from a rigorous probabilistic construction of the functional integral defining LCFT given earlier by the authors and David. A crucial ingredient in our argument is a probabilistic derivation of the reflection relation in LCFT based on a refined tail analysis of Gaussian multiplicative chaos measures."},"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":"1803.05418","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2018-03-14T17:35:16Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"6a6ad2646656d4b77ded1d8b51e21bb46852d7e89c31f5fe2c1c73d6cf4e49a4","abstract_canon_sha256":"39e3ff10a73a7ab07c639d9a4481ed5f51a33c230ed4dea7be602d8aa88d9672"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:27.058375Z","signature_b64":"gJaI6/QUAB4l2UObOnHw99cEG766FFjMU4IMjPhWwLlzTox7RHzvCWCmpotNxXI0yT5BmGmMr1qKoK/2yeg5BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d5ce09018941abab944f6edfbc6de2339253c2b88d8419a519eba8c710f9cb0a","last_reissued_at":"2026-05-18T00:13:27.057620Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:27.057620Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The DOZZ Formula from the Path Integral","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Antti Kupiainen, R\\'emi Rhodes, Vincent Vargas","submitted_at":"2018-03-14T17:35:16Z","abstract_excerpt":"We present a rigorous proof of the Dorn, Otto, Zamolodchikov, Zamolodchikov formula (the DOZZ formula) for the 3 point structure constants of Liouville Conformal Field Theory (LCFT) starting from a rigorous probabilistic construction of the functional integral defining LCFT given earlier by the authors and David. A crucial ingredient in our argument is a probabilistic derivation of the reflection relation in LCFT based on a refined tail analysis of Gaussian multiplicative chaos measures."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.05418","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":"1803.05418","created_at":"2026-05-18T00:13:27.057711+00:00"},{"alias_kind":"arxiv_version","alias_value":"1803.05418v1","created_at":"2026-05-18T00:13:27.057711+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.05418","created_at":"2026-05-18T00:13:27.057711+00:00"},{"alias_kind":"pith_short_12","alias_value":"2XHASAMJIGV2","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_16","alias_value":"2XHASAMJIGV2XFCP","created_at":"2026-05-18T12:32:02.567920+00:00"},{"alias_kind":"pith_short_8","alias_value":"2XHASAMJ","created_at":"2026-05-18T12:32:02.567920+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/2XHASAMJIGV2XFCPN3P3Y3PCGO","json":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO.json","graph_json":"https://pith.science/api/pith-number/2XHASAMJIGV2XFCPN3P3Y3PCGO/graph.json","events_json":"https://pith.science/api/pith-number/2XHASAMJIGV2XFCPN3P3Y3PCGO/events.json","paper":"https://pith.science/paper/2XHASAMJ"},"agent_actions":{"view_html":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO","download_json":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO.json","view_paper":"https://pith.science/paper/2XHASAMJ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1803.05418&json=true","fetch_graph":"https://pith.science/api/pith-number/2XHASAMJIGV2XFCPN3P3Y3PCGO/graph.json","fetch_events":"https://pith.science/api/pith-number/2XHASAMJIGV2XFCPN3P3Y3PCGO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO/action/storage_attestation","attest_author":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO/action/author_attestation","sign_citation":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO/action/citation_signature","submit_replication":"https://pith.science/pith/2XHASAMJIGV2XFCPN3P3Y3PCGO/action/replication_record"}},"created_at":"2026-05-18T00:13:27.057711+00:00","updated_at":"2026-05-18T00:13:27.057711+00:00"}