{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:2VFQ46CIBMNH6AWLAELJOU5OMZ","short_pith_number":"pith:2VFQ46CI","canonical_record":{"source":{"id":"hep-th/9906096","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-06-14T08:43:57Z","cross_cats_sorted":[],"title_canon_sha256":"1a473e7dcd82c143d030a26e7cd66d45ff9aa0f0e929e0e94d541d0b97d8442b","abstract_canon_sha256":"8f3913eab79f71fb10f48f018288f31ed2927af7d6e6a07b0b0cc992a7c8517a"},"schema_version":"1.0"},"canonical_sha256":"d54b0e78480b1a7f02cb01169753ae6643c0117b26d403a84380183853c2ac13","source":{"kind":"arxiv","id":"hep-th/9906096","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9906096","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9906096v1","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9906096","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"pith_short_12","alias_value":"2VFQ46CIBMNH","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"pith_short_16","alias_value":"2VFQ46CIBMNH6AWL","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"pith_short_8","alias_value":"2VFQ46CI","created_at":"2026-07-04T14:33:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:2VFQ46CIBMNH6AWLAELJOU5OMZ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/9906096","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"1999-06-14T08:43:57Z","cross_cats_sorted":[],"title_canon_sha256":"1a473e7dcd82c143d030a26e7cd66d45ff9aa0f0e929e0e94d541d0b97d8442b","abstract_canon_sha256":"8f3913eab79f71fb10f48f018288f31ed2927af7d6e6a07b0b0cc992a7c8517a"},"schema_version":"1.0"},"canonical_sha256":"d54b0e78480b1a7f02cb01169753ae6643c0117b26d403a84380183853c2ac13","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:33:28.476453Z","signature_b64":"mV3hq0kUA9Mx9sUKLb7y/K+HzMRZy7xqEyhCxHYL9//uNPNFWKJx/aE7pOwVg3GRE0W15zjbzTmvdmbsuwxVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d54b0e78480b1a7f02cb01169753ae6643c0117b26d403a84380183853c2ac13","last_reissued_at":"2026-07-04T14:33:28.476129Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:33:28.476129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/9906096","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":"2026-07-04T14:33:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5Wa0k+uwSj8Y0Gd5SYSJFfgH+13uf0dq2VBANtGKo3t9BuysjyMSlgWbZDGi8jEZgVKRHOKhZVQNuCTCh9wiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T23:57:25.274941Z"},"content_sha256":"98b77697f045c51fe086f1c2588f185999b5493c30c8fb21ecf9c3dfed0ea992","schema_version":"1.0","event_id":"sha256:98b77697f045c51fe086f1c2588f185999b5493c30c8fb21ecf9c3dfed0ea992"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:2VFQ46CIBMNH6AWLAELJOU5OMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classification of Two Dimensional N=4 Superconformal Symmetries","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Abbas Ali","submitted_at":"1999-06-14T08:43:57Z","abstract_excerpt":"Classification of N=4 superconformal symmetries in two dimensions is re-examined. It is proposed that apart from SU(2) and $SU(2)\\times SU(2)\\times U(1)$ their Kac-Moody symmetry can also be $SU(2)\\times(U(1))^4$. These superconformal symmetries and corresponding algebras are named small, large and middle ones respectively. Operator product expansions for the middle algebra are derived. Complete free field realizations of large and middle superconformal symmetries are obtained."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9906096","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/9906096/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T14:33:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eBbx4R3VUFT57WWMGH/nlGelX+6wQ3xQOkh5P2LemAp5vTkZnKs5xiY7VUtTrVc0KzPkUUeyycO96r79yk2YDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T23:57:25.276146Z"},"content_sha256":"a80f5f2f1ba3500e02a1b469fd2adc180253279325e45ac695a6e49b29da5632","schema_version":"1.0","event_id":"sha256:a80f5f2f1ba3500e02a1b469fd2adc180253279325e45ac695a6e49b29da5632"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ/bundle.json","state_url":"https://pith.science/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ/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":"2026-08-19T23:57:25Z","links":{"resolver":"https://pith.science/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ","bundle":"https://pith.science/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ/bundle.json","state":"https://pith.science/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2VFQ46CIBMNH6AWLAELJOU5OMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:2VFQ46CIBMNH6AWLAELJOU5OMZ","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":"8f3913eab79f71fb10f48f018288f31ed2927af7d6e6a07b0b0cc992a7c8517a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-06-14T08:43:57Z","title_canon_sha256":"1a473e7dcd82c143d030a26e7cd66d45ff9aa0f0e929e0e94d541d0b97d8442b"},"schema_version":"1.0","source":{"id":"hep-th/9906096","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/9906096","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/9906096v1","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/9906096","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"pith_short_12","alias_value":"2VFQ46CIBMNH","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"pith_short_16","alias_value":"2VFQ46CIBMNH6AWL","created_at":"2026-07-04T14:33:28Z"},{"alias_kind":"pith_short_8","alias_value":"2VFQ46CI","created_at":"2026-07-04T14:33:28Z"}],"graph_snapshots":[{"event_id":"sha256:a80f5f2f1ba3500e02a1b469fd2adc180253279325e45ac695a6e49b29da5632","target":"graph","created_at":"2026-07-04T14:33:28Z","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/9906096/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Classification of N=4 superconformal symmetries in two dimensions is re-examined. It is proposed that apart from SU(2) and $SU(2)\\times SU(2)\\times U(1)$ their Kac-Moody symmetry can also be $SU(2)\\times(U(1))^4$. These superconformal symmetries and corresponding algebras are named small, large and middle ones respectively. Operator product expansions for the middle algebra are derived. Complete free field realizations of large and middle superconformal symmetries are obtained.","authors_text":"Abbas Ali","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"1999-06-14T08:43:57Z","title":"Classification of Two Dimensional N=4 Superconformal Symmetries"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9906096","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":"sha256:98b77697f045c51fe086f1c2588f185999b5493c30c8fb21ecf9c3dfed0ea992","target":"record","created_at":"2026-07-04T14:33:28Z","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":"8f3913eab79f71fb10f48f018288f31ed2927af7d6e6a07b0b0cc992a7c8517a","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"1999-06-14T08:43:57Z","title_canon_sha256":"1a473e7dcd82c143d030a26e7cd66d45ff9aa0f0e929e0e94d541d0b97d8442b"},"schema_version":"1.0","source":{"id":"hep-th/9906096","kind":"arxiv","version":1}},"canonical_sha256":"d54b0e78480b1a7f02cb01169753ae6643c0117b26d403a84380183853c2ac13","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d54b0e78480b1a7f02cb01169753ae6643c0117b26d403a84380183853c2ac13","first_computed_at":"2026-07-04T14:33:28.476129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:33:28.476129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mV3hq0kUA9Mx9sUKLb7y/K+HzMRZy7xqEyhCxHYL9//uNPNFWKJx/aE7pOwVg3GRE0W15zjbzTmvdmbsuwxVCw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:33:28.476453Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/9906096","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:98b77697f045c51fe086f1c2588f185999b5493c30c8fb21ecf9c3dfed0ea992","sha256:a80f5f2f1ba3500e02a1b469fd2adc180253279325e45ac695a6e49b29da5632"],"state_sha256":"c302f0fa2c4a87166b4aee9c99189a1a97660fa6eb0663eb5d72c2221da29b01"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+S9Rz/zmGxAJ0zwDSm1G0D4JlHDoIOOxk/Fv/qMwcYFXlzh0ZYu7BbmJFck8ie/YMzHfQA0VvDAjyaN+i6ysAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T23:57:25.287200Z","bundle_sha256":"8b031770cb0d34ab7524918020fb3dc61aba5af554b66a779da6c3ce0f76ef9e"}}