{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2000:2BWVECBOJF2NA373UIQIT7JF5B","short_pith_number":"pith:2BWVECBO","schema_version":"1.0","canonical_sha256":"d06d52082e4974d06ffba22089fd25e857a5b8dd3eb294c2108d4786fe20d966","source":{"kind":"arxiv","id":"hep-th/0001012","version":1},"attestation_state":"computed","paper":{"title":"Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Al. Zamolodchikov (Montpellier), A. Zamolodchikov (Rutgers), V. Fateev (Montpellier)","submitted_at":"2000-01-04T13:06:04Z","abstract_excerpt":"Liouville conformal field theory is considered with conformal boundary. There is a family of conformal boundary conditions parameterized by the boundary cosmological constant, so that observables depend on the dimensional ratios of boundary and bulk cosmological constants. The disk geometry is considered. We present an explicit expression for the expectation value of a bulk operator inside the disk and for the two-point function of boundary operators. We comment also on the properties of the degenrate boundary operators. Possible applications and further developments are discussed. In particul"},"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":"hep-th/0001012","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-01-04T13:06:04Z","cross_cats_sorted":[],"title_canon_sha256":"ba12778512f1f61e1c7e791a87928a4208987fb374481f5c65caa7132ed518b6","abstract_canon_sha256":"ad30249ea4f947ea22668a617e1cd051aeae1b2574c59ded90a6fc82cb2d1577"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:31:17.509466Z","signature_b64":"hJOlKFFh8Ptx/h4QiI8tn585qq2fRQ/URz7lGHhq+1idwix3RozkYXJW6RpBPzuJVQ8epYVQl2u5RBixPX9sAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d06d52082e4974d06ffba22089fd25e857a5b8dd3eb294c2108d4786fe20d966","last_reissued_at":"2026-07-04T14:31:17.509081Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:31:17.509081Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Boundary Liouville Field Theory I. Boundary State and Boundary Two-point Function","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Al. Zamolodchikov (Montpellier), A. Zamolodchikov (Rutgers), V. Fateev (Montpellier)","submitted_at":"2000-01-04T13:06:04Z","abstract_excerpt":"Liouville conformal field theory is considered with conformal boundary. There is a family of conformal boundary conditions parameterized by the boundary cosmological constant, so that observables depend on the dimensional ratios of boundary and bulk cosmological constants. The disk geometry is considered. We present an explicit expression for the expectation value of a bulk operator inside the disk and for the two-point function of boundary operators. We comment also on the properties of the degenrate boundary operators. Possible applications and further developments are discussed. In particul"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0001012","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0001012/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":"hep-th/0001012","created_at":"2026-07-04T14:31:17.509136+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0001012v1","created_at":"2026-07-04T14:31:17.509136+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0001012","created_at":"2026-07-04T14:31:17.509136+00:00"},{"alias_kind":"pith_short_12","alias_value":"2BWVECBOJF2N","created_at":"2026-07-04T14:31:17.509136+00:00"},{"alias_kind":"pith_short_16","alias_value":"2BWVECBOJF2NA373","created_at":"2026-07-04T14:31:17.509136+00:00"},{"alias_kind":"pith_short_8","alias_value":"2BWVECBO","created_at":"2026-07-04T14:31:17.509136+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":6,"sample":[{"citing_arxiv_id":"2606.26241","citing_title":"An observer's quantization of 3d de Sitter","ref_index":81,"is_internal_anchor":true},{"citing_arxiv_id":"2607.01778","citing_title":"Morse Bridge between Planar Kepler and Hyperbolic Landau Dynamics","ref_index":43,"is_internal_anchor":true},{"citing_arxiv_id":"2301.05214","citing_title":"All the D-Branes of Resurgence","ref_index":6,"is_internal_anchor":true},{"citing_arxiv_id":"2509.15295","citing_title":"Living on the edge: a non-perturbative resolution to the negativity of bulk entropies","ref_index":109,"is_internal_anchor":true},{"citing_arxiv_id":"2512.15969","citing_title":"Quantum Liouville Cosmology","ref_index":24,"is_internal_anchor":true},{"citing_arxiv_id":"2512.18916","citing_title":"Sine-Liouville gravity as a Vertex Model on Planar Graphs","ref_index":56,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B","json":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B.json","graph_json":"https://pith.science/api/pith-number/2BWVECBOJF2NA373UIQIT7JF5B/graph.json","events_json":"https://pith.science/api/pith-number/2BWVECBOJF2NA373UIQIT7JF5B/events.json","paper":"https://pith.science/paper/2BWVECBO"},"agent_actions":{"view_html":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B","download_json":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B.json","view_paper":"https://pith.science/paper/2BWVECBO","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/0001012&json=true","fetch_graph":"https://pith.science/api/pith-number/2BWVECBOJF2NA373UIQIT7JF5B/graph.json","fetch_events":"https://pith.science/api/pith-number/2BWVECBOJF2NA373UIQIT7JF5B/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B/action/storage_attestation","attest_author":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B/action/author_attestation","sign_citation":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B/action/citation_signature","submit_replication":"https://pith.science/pith/2BWVECBOJF2NA373UIQIT7JF5B/action/replication_record"}},"created_at":"2026-07-04T14:31:17.509136+00:00","updated_at":"2026-07-04T14:31:17.509136+00:00"}