{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1997:DWMWOMAMDPGBEU4TTRI4SRNL27","short_pith_number":"pith:DWMWOMAM","schema_version":"1.0","canonical_sha256":"1d9967300c1bcc1253939c51c945abd7cf046738252ee66312869f3b0d2e0f37","source":{"kind":"arxiv","id":"hep-th/9703045","version":3},"attestation_state":"computed","paper":{"title":"Coadjoint orbits of the Virasoro algebra and the global Liouville equation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Balog, L. Feh\\'er, L. Palla","submitted_at":"1997-03-06T12:43:52Z","abstract_excerpt":"The classification of the coadjoint orbits of the Virasoro algebra is reviewed and is then applied to analyze the so-called global Liouville equation. The review is self-contained, elementary and is tailor-made for the application. It is well-known that the Liouville equation for a smooth, real field $\\phi$ under periodic boundary condition is a reduction of the SL(2,R) WZNW model on the cylinder, where the WZNW field g in SL(2,R) is restricted to be Gauss decomposable. If one drops this restriction, the Hamiltonian reduction yields, for the field $Q=\\kappa g_{22}$ where $\\kappa\\neq 0$ is a co"},"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/9703045","kind":"arxiv","version":3},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-03-06T12:43:52Z","cross_cats_sorted":[],"title_canon_sha256":"a63c4e28c526ebc23a6e8c6a38964e0176ba9dd3b5ee9c4db026e314bab2a58f","abstract_canon_sha256":"583394635cf17304d676271f120b6fa84dc0b432916ee109b346812d555d66d3"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:05:25.066920Z","signature_b64":"wQF7hbcFVFsdnGRHn60Z2tA25DyCTWWwZ7dgbn5ISQENgZ0KYGhqqMkB0XzTKqqoa5T9TmT99J1d1haaW1b6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1d9967300c1bcc1253939c51c945abd7cf046738252ee66312869f3b0d2e0f37","last_reissued_at":"2026-07-04T16:05:25.066558Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:05:25.066558Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Coadjoint orbits of the Virasoro algebra and the global Liouville equation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"J. Balog, L. Feh\\'er, L. Palla","submitted_at":"1997-03-06T12:43:52Z","abstract_excerpt":"The classification of the coadjoint orbits of the Virasoro algebra is reviewed and is then applied to analyze the so-called global Liouville equation. The review is self-contained, elementary and is tailor-made for the application. It is well-known that the Liouville equation for a smooth, real field $\\phi$ under periodic boundary condition is a reduction of the SL(2,R) WZNW model on the cylinder, where the WZNW field g in SL(2,R) is restricted to be Gauss decomposable. If one drops this restriction, the Hamiltonian reduction yields, for the field $Q=\\kappa g_{22}$ where $\\kappa\\neq 0$ is a co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703045","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/hep-th/9703045/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/9703045","created_at":"2026-07-04T16:05:25.066619+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703045v3","created_at":"2026-07-04T16:05:25.066619+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703045","created_at":"2026-07-04T16:05:25.066619+00:00"},{"alias_kind":"pith_short_12","alias_value":"DWMWOMAMDPGB","created_at":"2026-07-04T16:05:25.066619+00:00"},{"alias_kind":"pith_short_16","alias_value":"DWMWOMAMDPGBEU4T","created_at":"2026-07-04T16:05:25.066619+00:00"},{"alias_kind":"pith_short_8","alias_value":"DWMWOMAM","created_at":"2026-07-04T16:05:25.066619+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2509.00994","citing_title":"Hyperbolic Mass in 2+1 Dimensions","ref_index":15,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27","json":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27.json","graph_json":"https://pith.science/api/pith-number/DWMWOMAMDPGBEU4TTRI4SRNL27/graph.json","events_json":"https://pith.science/api/pith-number/DWMWOMAMDPGBEU4TTRI4SRNL27/events.json","paper":"https://pith.science/paper/DWMWOMAM"},"agent_actions":{"view_html":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27","download_json":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27.json","view_paper":"https://pith.science/paper/DWMWOMAM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-th/9703045&json=true","fetch_graph":"https://pith.science/api/pith-number/DWMWOMAMDPGBEU4TTRI4SRNL27/graph.json","fetch_events":"https://pith.science/api/pith-number/DWMWOMAMDPGBEU4TTRI4SRNL27/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27/action/storage_attestation","attest_author":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27/action/author_attestation","sign_citation":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27/action/citation_signature","submit_replication":"https://pith.science/pith/DWMWOMAMDPGBEU4TTRI4SRNL27/action/replication_record"}},"created_at":"2026-07-04T16:05:25.066619+00:00","updated_at":"2026-07-04T16:05:25.066619+00:00"}