{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:UDGBLJNZJR6ADWYNB6XKWBUNWZ","short_pith_number":"pith:UDGBLJNZ","canonical_record":{"source":{"id":"hep-th/9703002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-02-28T20:50:11Z","cross_cats_sorted":[],"title_canon_sha256":"acab88c1b06d7a0719487505fa3d58927d59a19c16e2180c69b13a3f05d54944","abstract_canon_sha256":"eca07ddb0bf7567082c8bf72e9bbd0ad09040c2536bdf385654535c517b3edf6"},"schema_version":"1.0"},"canonical_sha256":"a0cc15a5b94c7c01db0d0faeab068db6491307782f1a1d6774d752766418f840","source":{"kind":"arxiv","id":"hep-th/9703002","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9703002","created_at":"2026-05-18T01:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703002v1","created_at":"2026-05-18T01:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703002","created_at":"2026-05-18T01:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"UDGBLJNZJR6A","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"UDGBLJNZJR6ADWYN","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"UDGBLJNZ","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:UDGBLJNZJR6ADWYNB6XKWBUNWZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9703002","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1997-02-28T20:50:11Z","cross_cats_sorted":[],"title_canon_sha256":"acab88c1b06d7a0719487505fa3d58927d59a19c16e2180c69b13a3f05d54944","abstract_canon_sha256":"eca07ddb0bf7567082c8bf72e9bbd0ad09040c2536bdf385654535c517b3edf6"},"schema_version":"1.0"},"canonical_sha256":"a0cc15a5b94c7c01db0d0faeab068db6491307782f1a1d6774d752766418f840","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:37.408964Z","signature_b64":"POQHemy/UIaBpWp4Zwy+TRdp8eiULKb8ldllnD/YbYkaSNmNudcBXKoxy6SeJmuHqqiDz9Ha/B9ghQ9T8xDlBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0cc15a5b94c7c01db0d0faeab068db6491307782f1a1d6774d752766418f840","last_reissued_at":"2026-05-18T01:38:37.408340Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:37.408340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9703002","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dotckmINw6GTv5Qioapjy9hBmBO7Wtyy1ZHOcE01D7xgiGlx0TgAgjCB8OrYuyLFl5wIFsUuNIMpqIOEG1X/CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:31:04.797763Z"},"content_sha256":"8fdbbc412d2e337099de1ab38bebfb05e668628f98a12eaf370bf011bba63d59","schema_version":"1.0","event_id":"sha256:8fdbbc412d2e337099de1ab38bebfb05e668628f98a12eaf370bf011bba63d59"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:UDGBLJNZJR6ADWYNB6XKWBUNWZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Principal Vertex Operator Representations for Toroidal Lie Algebras","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Yuly Billig","submitted_at":"1997-02-28T20:50:11Z","abstract_excerpt":"In this paper we present the principal construction of the vertex operator representation for toroidal Lie algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703002","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":""},"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":"2026-05-18T01:38:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/HY3+IfTs4IMxdwyktIZo5JRc21aSHe9JTbBPbMdzvzoMJbjWItjawHB91qRmyQNP0urUdzUjf/O5eVR+1ECAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T13:31:04.798409Z"},"content_sha256":"9a89d092bbfba045196212e44306c8b91a7cd1d81392ef6b4c4e4a80590d220e","schema_version":"1.0","event_id":"sha256:9a89d092bbfba045196212e44306c8b91a7cd1d81392ef6b4c4e4a80590d220e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ/bundle.json","state_url":"https://pith.science/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ/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":"2026-06-09T13:31:04Z","links":{"resolver":"https://pith.science/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ","bundle":"https://pith.science/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ/bundle.json","state":"https://pith.science/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDGBLJNZJR6ADWYNB6XKWBUNWZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:UDGBLJNZJR6ADWYNB6XKWBUNWZ","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":"eca07ddb0bf7567082c8bf72e9bbd0ad09040c2536bdf385654535c517b3edf6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-02-28T20:50:11Z","title_canon_sha256":"acab88c1b06d7a0719487505fa3d58927d59a19c16e2180c69b13a3f05d54944"},"schema_version":"1.0","source":{"id":"hep-th/9703002","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9703002","created_at":"2026-05-18T01:38:37Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9703002v1","created_at":"2026-05-18T01:38:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9703002","created_at":"2026-05-18T01:38:37Z"},{"alias_kind":"pith_short_12","alias_value":"UDGBLJNZJR6A","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"UDGBLJNZJR6ADWYN","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"UDGBLJNZ","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:9a89d092bbfba045196212e44306c8b91a7cd1d81392ef6b4c4e4a80590d220e","target":"graph","created_at":"2026-05-18T01:38:37Z","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":"In this paper we present the principal construction of the vertex operator representation for toroidal Lie algebras.","authors_text":"Yuly Billig","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1997-02-28T20:50:11Z","title":"Principal Vertex Operator Representations for Toroidal Lie Algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9703002","kind":"arxiv","version":1},"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":"sha256:8fdbbc412d2e337099de1ab38bebfb05e668628f98a12eaf370bf011bba63d59","target":"record","created_at":"2026-05-18T01:38:37Z","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":"eca07ddb0bf7567082c8bf72e9bbd0ad09040c2536bdf385654535c517b3edf6","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1997-02-28T20:50:11Z","title_canon_sha256":"acab88c1b06d7a0719487505fa3d58927d59a19c16e2180c69b13a3f05d54944"},"schema_version":"1.0","source":{"id":"hep-th/9703002","kind":"arxiv","version":1}},"canonical_sha256":"a0cc15a5b94c7c01db0d0faeab068db6491307782f1a1d6774d752766418f840","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0cc15a5b94c7c01db0d0faeab068db6491307782f1a1d6774d752766418f840","first_computed_at":"2026-05-18T01:38:37.408340Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:37.408340Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"POQHemy/UIaBpWp4Zwy+TRdp8eiULKb8ldllnD/YbYkaSNmNudcBXKoxy6SeJmuHqqiDz9Ha/B9ghQ9T8xDlBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:37.408964Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9703002","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8fdbbc412d2e337099de1ab38bebfb05e668628f98a12eaf370bf011bba63d59","sha256:9a89d092bbfba045196212e44306c8b91a7cd1d81392ef6b4c4e4a80590d220e"],"state_sha256":"18387051e04a60b4374fc189ab64c28aafa2ce57df819530e0977409c54797aa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RsHIPc/U3wxvU4QGO5fflQQgASCS0AO9a1FmZjgfwto0g3kPVdRDPf58dBnwQMLfx1Z6Hs+jodlpG29Jct3UDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T13:31:04.801753Z","bundle_sha256":"a6fad8529c50c08b008f62aed266ee0cb5f9e193a610c184ffb9e589c7bafdee"}}