{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:RLZQTYPLYBLVYQDORXK47C56NA","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"6b73140ce5c1d9a7d4d5779b4fe5fb235fae96589a75a199e5389a54849a535b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-05-30T14:43:38Z","title_canon_sha256":"adb889f65bc6a80dbbcdf4219022df1f044a04d0a9901a5f5c9f602c25c034e6"},"schema_version":"1.0","source":{"id":"hep-th/9705240","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9705240","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9705240v2","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9705240","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"pith_short_12","alias_value":"RLZQTYPLYBLV","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"pith_short_16","alias_value":"RLZQTYPLYBLVYQDO","created_at":"2026-07-04T16:05:36Z"},{"alias_kind":"pith_short_8","alias_value":"RLZQTYPL","created_at":"2026-07-04T16:05:36Z"}],"graph_snapshots":[{"event_id":"sha256:65d336031f046a96002ad6095df880f7a9e1020910ebee6719854caeacc1374e","target":"graph","created_at":"2026-07-04T16:05:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-th/9705240/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study logarithmic operators in Coulomb gas models, and show that they occur when the ``puncture'' operator of the Liouville theory is included in the model. We also consider WZNW models for $SL(2,R)$, and for SU(2) at level 0, in which we find logarithmic operators which form Jordan blocks for the current as well as the Virasoro algebra.","authors_text":"Alex Lewis, Ian I. Kogan","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-05-30T14:43:38Z","title":"Origin of Logarithmic Operators in Conformal Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9705240","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2dee0ebaf1197cc67d64064b11905138ee06bb28c29dd65c28f3cc4d183b61fd","target":"record","created_at":"2026-07-04T16:05:36Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"6b73140ce5c1d9a7d4d5779b4fe5fb235fae96589a75a199e5389a54849a535b","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-05-30T14:43:38Z","title_canon_sha256":"adb889f65bc6a80dbbcdf4219022df1f044a04d0a9901a5f5c9f602c25c034e6"},"schema_version":"1.0","source":{"id":"hep-th/9705240","kind":"arxiv","version":2}},"canonical_sha256":"8af309e1ebc0575c406e8dd5cf8bbe6827390b41b98f48f684425c3c6be439fe","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8af309e1ebc0575c406e8dd5cf8bbe6827390b41b98f48f684425c3c6be439fe","first_computed_at":"2026-07-04T16:05:36.591467Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:05:36.591467Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jLYZNLD8n6S9y4U8+15W2FDU+yV/iFvYimweNIh1tn6XqhPhENWVfPdWURi+dw0DkG4qRkii4BDSnPpxYankBw==","signature_status":"signed_v1","signed_at":"2026-07-04T16:05:36.591858Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9705240","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2dee0ebaf1197cc67d64064b11905138ee06bb28c29dd65c28f3cc4d183b61fd","sha256:65d336031f046a96002ad6095df880f7a9e1020910ebee6719854caeacc1374e"],"state_sha256":"d13abb906501af34d9dccc3c105c496c7d13d2fcd19f6c4d6ed9ba342332ef25"}