{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:2KYIDIOSF75OLB6G3PLLUC5XUD","short_pith_number":"pith:2KYIDIOS","schema_version":"1.0","canonical_sha256":"d2b081a1d22ffae587c6dbd6ba0bb7a0f4e51db6d1c80a16e60988f93f43959a","source":{"kind":"arxiv","id":"2505.08890","version":3},"attestation_state":"computed","paper":{"title":"On the three-point functions in timelike N=1 Liouville CFT","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Beatrix M\\\"uhlmann, Ioannis Tsiares, Vladimir Narovlansky","submitted_at":"2025-05-13T18:25:54Z","abstract_excerpt":"We use analytic (super-)conformal bootstrap methods to derive explicit expressions for the structure constants of N=1 Liouville CFT in the `timelike' regime of the superconformal central charge. The obtained expressions take the form of inverses of the appropriate spacelike counterparts, which we explain concretely by elucidating the analytic properties of the corresponding shift relations in the NS- and R-sectors for the normalization-independent bootstrap data on the sphere. In a particular normalization, the timelike structure constants are shown to agree with the OPE coefficients of N=1 Mi"},"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":"2505.08890","kind":"arxiv","version":3},"metadata":{"license":"http://creativecommons.org/publicdomain/zero/1.0/","primary_cat":"hep-th","submitted_at":"2025-05-13T18:25:54Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"726b01191c3a800c3ccba0d742c00e4ed18d73830bdccc29fb6d1d1e7cc68b48","abstract_canon_sha256":"6a4bcb78ebcba3bcd50a43aba6bb737439cb14363910889ba43ee6741ac7db1a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-10T01:09:05.058912Z","signature_b64":"5sdAqYCvohsnXTeTW5DrbqmNqmZcYjr80jWIOSubQVTMefE4pp5ygIc1nZ+WIom6e8uflzHTlyfK6pjpR/AVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d2b081a1d22ffae587c6dbd6ba0bb7a0f4e51db6d1c80a16e60988f93f43959a","last_reissued_at":"2026-08-10T01:09:05.055995Z","signature_status":"signed_v1","first_computed_at":"2026-08-10T01:09:05.055995Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the three-point functions in timelike N=1 Liouville CFT","license":"http://creativecommons.org/publicdomain/zero/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Beatrix M\\\"uhlmann, Ioannis Tsiares, Vladimir Narovlansky","submitted_at":"2025-05-13T18:25:54Z","abstract_excerpt":"We use analytic (super-)conformal bootstrap methods to derive explicit expressions for the structure constants of N=1 Liouville CFT in the `timelike' regime of the superconformal central charge. The obtained expressions take the form of inverses of the appropriate spacelike counterparts, which we explain concretely by elucidating the analytic properties of the corresponding shift relations in the NS- and R-sectors for the normalization-independent bootstrap data on the sphere. In a particular normalization, the timelike structure constants are shown to agree with the OPE coefficients of N=1 Mi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.08890","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.08890/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2505.08890","created_at":"2026-08-10T01:09:05.057006+00:00"},{"alias_kind":"arxiv_version","alias_value":"2505.08890v3","created_at":"2026-08-10T01:09:05.057006+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.08890","created_at":"2026-08-10T01:09:05.057006+00:00"},{"alias_kind":"pith_short_12","alias_value":"2KYIDIOSF75O","created_at":"2026-08-10T01:09:05.057006+00:00"},{"alias_kind":"pith_short_16","alias_value":"2KYIDIOSF75OLB6G","created_at":"2026-08-10T01:09:05.057006+00:00"},{"alias_kind":"pith_short_8","alias_value":"2KYIDIOS","created_at":"2026-08-10T01:09:05.057006+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":4,"internal_anchor_count":4,"sample":[{"citing_arxiv_id":"2605.29203","citing_title":"A Lorentzian construction of timelike Liouville field theory on the cylinder","ref_index":32,"is_internal_anchor":true},{"citing_arxiv_id":"2512.15969","citing_title":"Quantum Liouville Cosmology","ref_index":14,"is_internal_anchor":true},{"citing_arxiv_id":"2604.26038","citing_title":"The Super Virasoro Minimal String from 3d Supergravity","ref_index":31,"is_internal_anchor":true},{"citing_arxiv_id":"2604.06301","citing_title":"$c=1$ strings as a matrix integral","ref_index":109,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD","json":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD.json","graph_json":"https://pith.science/api/pith-number/2KYIDIOSF75OLB6G3PLLUC5XUD/graph.json","events_json":"https://pith.science/api/pith-number/2KYIDIOSF75OLB6G3PLLUC5XUD/events.json","paper":"https://pith.science/paper/2KYIDIOS"},"agent_actions":{"view_html":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD","download_json":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD.json","view_paper":"https://pith.science/paper/2KYIDIOS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2505.08890&json=true","fetch_graph":"https://pith.science/api/pith-number/2KYIDIOSF75OLB6G3PLLUC5XUD/graph.json","fetch_events":"https://pith.science/api/pith-number/2KYIDIOSF75OLB6G3PLLUC5XUD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD/action/storage_attestation","attest_author":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD/action/author_attestation","sign_citation":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD/action/citation_signature","submit_replication":"https://pith.science/pith/2KYIDIOSF75OLB6G3PLLUC5XUD/action/replication_record"}},"created_at":"2026-08-10T01:09:05.057006+00:00","updated_at":"2026-08-10T01:09:05.057006+00:00"}