{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:U3BIOZ37ZU3VQYJVUUJ2IUXMH3","short_pith_number":"pith:U3BIOZ37","canonical_record":{"source":{"id":"hep-th/9703022","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-03-04T04:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"71abdbf24ced96e69bd1d3da34946c29778a68ac0f61a35e478604f992afcf4f","abstract_canon_sha256":"571bc4fdeb09d4d67f23a6b3c2be66d137def0e2393a38f9b5d9dafd1d52bda7"},"schema_version":"1.0"},"canonical_sha256":"a6c287677fcd37586135a513a452ec3ef700d43e89bf30d89784e0a4ef7f91e2","source":{"kind":"arxiv","id":"hep-th/9703022","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9703022","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703022v2","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703022","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"U3BIOZ37ZU3V","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"U3BIOZ37ZU3VQYJV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"U3BIOZ37","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:U3BIOZ37ZU3VQYJVUUJ2IUXMH3","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9703022","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-03-04T04:22:10Z","cross_cats_sorted":[],"title_canon_sha256":"71abdbf24ced96e69bd1d3da34946c29778a68ac0f61a35e478604f992afcf4f","abstract_canon_sha256":"571bc4fdeb09d4d67f23a6b3c2be66d137def0e2393a38f9b5d9dafd1d52bda7"},"schema_version":"1.0"},"canonical_sha256":"a6c287677fcd37586135a513a452ec3ef700d43e89bf30d89784e0a4ef7f91e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:05:56.133856Z","signature_b64":"dohSXIW3+9Ub0unTC3XugmklwdcaBxjByUEdydYHHJjCEvSj0KlMaNMJB1yOaNuqO2N8o4VQVeFMs7N0yNqDBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a6c287677fcd37586135a513a452ec3ef700d43e89bf30d89784e0a4ef7f91e2","last_reissued_at":"2026-05-18T01:05:56.133347Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:05:56.133347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9703022","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cBCcqkQ7SqvNn8Mo5bKak2IE6ieX4ZjndKQpPjDBpFohx5VoCqNdhKIiokbOr47e6VImIeQJvU3+LUFbqPBlBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:49:55.369502Z"},"content_sha256":"e910eee163b424092797872ac8d4a952b013e1e0bfdf652af3f4e0126d351c5a","schema_version":"1.0","event_id":"sha256:e910eee163b424092797872ac8d4a952b013e1e0bfdf652af3f4e0126d351c5a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:U3BIOZ37ZU3VQYJVUUJ2IUXMH3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Operator Solution for Liouville Theory with $q$ A Root of Unity","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"H. Igarashi, T. Fujiwara, Y. Takimoto (Ibaraki Univ.)","submitted_at":"1997-03-04T04:22:10Z","abstract_excerpt":"The exact operator solution for quantum Liouville theory constructed for the generic quantum deformation parameter $q$ is extended to the case with $q$ being a root of unity. The screening charge operator becomes nilpotent in such cases and arbitrary Liouville exponentials can be obtained in finite polynomials of the screening charge."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703022","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:05:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OkyeYhnLAoRHTShwHYXi+MW8i1VunzVlupVMFp30GHvRaletr05DflleKohJ1UzAYRHP/msIeQ4RCFqbakmkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T18:49:55.370171Z"},"content_sha256":"53df5eb54f2b3c28d27f185cc1c23f36240fc6adf53c17f1e86de0caa02d42ec","schema_version":"1.0","event_id":"sha256:53df5eb54f2b3c28d27f185cc1c23f36240fc6adf53c17f1e86de0caa02d42ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3/bundle.json","state_url":"https://pith.science/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-28T18:49:55Z","links":{"resolver":"https://pith.science/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3","bundle":"https://pith.science/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3/bundle.json","state":"https://pith.science/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U3BIOZ37ZU3VQYJVUUJ2IUXMH3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:U3BIOZ37ZU3VQYJVUUJ2IUXMH3","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":"571bc4fdeb09d4d67f23a6b3c2be66d137def0e2393a38f9b5d9dafd1d52bda7","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-03-04T04:22:10Z","title_canon_sha256":"71abdbf24ced96e69bd1d3da34946c29778a68ac0f61a35e478604f992afcf4f"},"schema_version":"1.0","source":{"id":"hep-th/9703022","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9703022","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703022v2","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703022","created_at":"2026-05-18T01:05:56Z"},{"alias_kind":"pith_short_12","alias_value":"U3BIOZ37ZU3V","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"U3BIOZ37ZU3VQYJV","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"U3BIOZ37","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:53df5eb54f2b3c28d27f185cc1c23f36240fc6adf53c17f1e86de0caa02d42ec","target":"graph","created_at":"2026-05-18T01:05:56Z","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"},"paper":{"abstract_excerpt":"The exact operator solution for quantum Liouville theory constructed for the generic quantum deformation parameter $q$ is extended to the case with $q$ being a root of unity. The screening charge operator becomes nilpotent in such cases and arbitrary Liouville exponentials can be obtained in finite polynomials of the screening charge.","authors_text":"H. Igarashi, T. Fujiwara, Y. Takimoto (Ibaraki Univ.)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-03-04T04:22:10Z","title":"Exact Operator Solution for Liouville Theory with $q$ A Root of Unity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703022","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:e910eee163b424092797872ac8d4a952b013e1e0bfdf652af3f4e0126d351c5a","target":"record","created_at":"2026-05-18T01:05:56Z","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":"571bc4fdeb09d4d67f23a6b3c2be66d137def0e2393a38f9b5d9dafd1d52bda7","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-03-04T04:22:10Z","title_canon_sha256":"71abdbf24ced96e69bd1d3da34946c29778a68ac0f61a35e478604f992afcf4f"},"schema_version":"1.0","source":{"id":"hep-th/9703022","kind":"arxiv","version":2}},"canonical_sha256":"a6c287677fcd37586135a513a452ec3ef700d43e89bf30d89784e0a4ef7f91e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a6c287677fcd37586135a513a452ec3ef700d43e89bf30d89784e0a4ef7f91e2","first_computed_at":"2026-05-18T01:05:56.133347Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:05:56.133347Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dohSXIW3+9Ub0unTC3XugmklwdcaBxjByUEdydYHHJjCEvSj0KlMaNMJB1yOaNuqO2N8o4VQVeFMs7N0yNqDBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:05:56.133856Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9703022","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e910eee163b424092797872ac8d4a952b013e1e0bfdf652af3f4e0126d351c5a","sha256:53df5eb54f2b3c28d27f185cc1c23f36240fc6adf53c17f1e86de0caa02d42ec"],"state_sha256":"9df3d91091968ee9ca21ec89dc30d6e733a0938caecbac49c98c6833fc5968eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YnoqUeI4G8wDToHnn7ufGTjRct1NJJ3wfHcMHrOXeFErrPdQmAyhazzZoPrPaecOyGcigQoVApGz/7EjmJceDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T18:49:55.373991Z","bundle_sha256":"658fb81930a702b8423d423da9e2b3382981279c71d9202eb4c641bc10d93c08"}}