{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:QM4XBPWUNGCTCT4EJAMOIJR4VN","short_pith_number":"pith:QM4XBPWU","canonical_record":{"source":{"id":"0902.3454","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-19T20:51:29Z","cross_cats_sorted":[],"title_canon_sha256":"75a391212b4585972127f467cccf768a9d17c82b4f4ba967e29fdec5b86bde2e","abstract_canon_sha256":"211177ab178f9deadc66f5401fcb7e201f7bdb18a38a7313b130ab25ed9439ed"},"schema_version":"1.0"},"canonical_sha256":"833970bed46985314f844818e4263cab71b90eb8aae732de473244eda8851d22","source":{"kind":"arxiv","id":"0902.3454","version":7},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.3454","created_at":"2026-05-18T04:25:51Z"},{"alias_kind":"arxiv_version","alias_value":"0902.3454v7","created_at":"2026-05-18T04:25:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3454","created_at":"2026-05-18T04:25:51Z"},{"alias_kind":"pith_short_12","alias_value":"QM4XBPWUNGCT","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QM4XBPWUNGCTCT4E","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QM4XBPWU","created_at":"2026-05-18T12:26:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:QM4XBPWUNGCTCT4EJAMOIJR4VN","target":"record","payload":{"canonical_record":{"source":{"id":"0902.3454","kind":"arxiv","version":7},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-19T20:51:29Z","cross_cats_sorted":[],"title_canon_sha256":"75a391212b4585972127f467cccf768a9d17c82b4f4ba967e29fdec5b86bde2e","abstract_canon_sha256":"211177ab178f9deadc66f5401fcb7e201f7bdb18a38a7313b130ab25ed9439ed"},"schema_version":"1.0"},"canonical_sha256":"833970bed46985314f844818e4263cab71b90eb8aae732de473244eda8851d22","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:25:51.370655Z","signature_b64":"VF+OgvmKrYzpd4LSwcOfC9VomTL/2lmXh/59i4/vYwTMCwpWbNlRMKhsnmWHKmYMMyMN9OXAJ4t25GBAUs4/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"833970bed46985314f844818e4263cab71b90eb8aae732de473244eda8851d22","last_reissued_at":"2026-05-18T04:25:51.370057Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:25:51.370057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0902.3454","source_version":7,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:25:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zOjnmJK+jVapYwgiuP0hD961cC/gIB1Gi8ba+AFKROn5tPhwyRqGb6/fvAP2tpUfDaVr5lB/h5EZLbpt6BRjDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:16:27.671827Z"},"content_sha256":"cd1c277971ccc0ed410a1c98273ac49253dce60129516626d2a5e011e587374c","schema_version":"1.0","event_id":"sha256:cd1c277971ccc0ed410a1c98273ac49253dce60129516626d2a5e011e587374c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:QM4XBPWUNGCTCT4EJAMOIJR4VN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Fa-Min Chen, Yong-Shi Wu","submitted_at":"2009-02-19T20:51:29Z","abstract_excerpt":"We introduce an anti-symmetric metric into a 3-algebra and call it a symplectic 3-algebra. The N=6, Sp(2N) X U(1) superconformal Chern-Simons-matter theory with SU(4) R-symmetry in three dimensions is constructed by specifying the 3-brackets in a symplectic 3-algebra. We also demonstrate that the N=6, U(M) X U(N) theory can be recast into this symplectic 3-algebraic framework."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3454","kind":"arxiv","version":7},"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":"2026-05-18T04:25:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0J/+IPjWKwcWJWRxX1OLuwofG+gbubHlaGYA++SY27RODeqoGzNuN6IbZXmiLIb3Rc0rtnERrCNiyH00GI1qDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T20:16:27.672516Z"},"content_sha256":"01e32f913a5e4d844f6e39d00f66f0f29f1050b77f714c4778e7695e2176ef2e","schema_version":"1.0","event_id":"sha256:01e32f913a5e4d844f6e39d00f66f0f29f1050b77f714c4778e7695e2176ef2e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN/bundle.json","state_url":"https://pith.science/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN/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":"2026-06-08T20:16:27Z","links":{"resolver":"https://pith.science/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN","bundle":"https://pith.science/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN/bundle.json","state":"https://pith.science/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QM4XBPWUNGCTCT4EJAMOIJR4VN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:QM4XBPWUNGCTCT4EJAMOIJR4VN","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":"211177ab178f9deadc66f5401fcb7e201f7bdb18a38a7313b130ab25ed9439ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-19T20:51:29Z","title_canon_sha256":"75a391212b4585972127f467cccf768a9d17c82b4f4ba967e29fdec5b86bde2e"},"schema_version":"1.0","source":{"id":"0902.3454","kind":"arxiv","version":7}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0902.3454","created_at":"2026-05-18T04:25:51Z"},{"alias_kind":"arxiv_version","alias_value":"0902.3454v7","created_at":"2026-05-18T04:25:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0902.3454","created_at":"2026-05-18T04:25:51Z"},{"alias_kind":"pith_short_12","alias_value":"QM4XBPWUNGCT","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_16","alias_value":"QM4XBPWUNGCTCT4E","created_at":"2026-05-18T12:26:01Z"},{"alias_kind":"pith_short_8","alias_value":"QM4XBPWU","created_at":"2026-05-18T12:26:01Z"}],"graph_snapshots":[{"event_id":"sha256:01e32f913a5e4d844f6e39d00f66f0f29f1050b77f714c4778e7695e2176ef2e","target":"graph","created_at":"2026-05-18T04:25:51Z","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":"We introduce an anti-symmetric metric into a 3-algebra and call it a symplectic 3-algebra. The N=6, Sp(2N) X U(1) superconformal Chern-Simons-matter theory with SU(4) R-symmetry in three dimensions is constructed by specifying the 3-brackets in a symplectic 3-algebra. We also demonstrate that the N=6, U(M) X U(N) theory can be recast into this symplectic 3-algebraic framework.","authors_text":"Fa-Min Chen, Yong-Shi Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-19T20:51:29Z","title":"Symplectic Three-Algebra and N=6, Sp(2N) X U(1) Superconformal Chern-Simons-Matter Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0902.3454","kind":"arxiv","version":7},"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:cd1c277971ccc0ed410a1c98273ac49253dce60129516626d2a5e011e587374c","target":"record","created_at":"2026-05-18T04:25:51Z","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":"211177ab178f9deadc66f5401fcb7e201f7bdb18a38a7313b130ab25ed9439ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-02-19T20:51:29Z","title_canon_sha256":"75a391212b4585972127f467cccf768a9d17c82b4f4ba967e29fdec5b86bde2e"},"schema_version":"1.0","source":{"id":"0902.3454","kind":"arxiv","version":7}},"canonical_sha256":"833970bed46985314f844818e4263cab71b90eb8aae732de473244eda8851d22","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"833970bed46985314f844818e4263cab71b90eb8aae732de473244eda8851d22","first_computed_at":"2026-05-18T04:25:51.370057Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:25:51.370057Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VF+OgvmKrYzpd4LSwcOfC9VomTL/2lmXh/59i4/vYwTMCwpWbNlRMKhsnmWHKmYMMyMN9OXAJ4t25GBAUs4/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:25:51.370655Z","signed_message":"canonical_sha256_bytes"},"source_id":"0902.3454","source_kind":"arxiv","source_version":7}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cd1c277971ccc0ed410a1c98273ac49253dce60129516626d2a5e011e587374c","sha256:01e32f913a5e4d844f6e39d00f66f0f29f1050b77f714c4778e7695e2176ef2e"],"state_sha256":"6fd50cfbb568a1af5cdfd5c4e173d50b14fa3e9a4fa3b505965c1d459859fc88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1nLyz8Xt3VVW8+SYldvdWqFWrrbWn2vyFTWgNLQRt6laFJQji49/gYsde5u/5YSq/69eNRUu4FTlqPv2CN9JCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T20:16:27.676113Z","bundle_sha256":"b5e989d852a8494ee9938d145c2effc1d50d1a19a07cbcacd3294658151dc3f0"}}