{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:NUORWU7TXJ5PZUNQYDDNIZK6D3","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":"7d4a9a65ed16ea23bc651ea850a0601f8b20d65ec1e2679b153d954fb8cc47f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-04T11:29:04Z","title_canon_sha256":"f8519384d0498aa8a3612a7e906f8d22835c3fc88edf1efdb635a595a0fbdcdf"},"schema_version":"1.0","source":{"id":"1012.0904","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.0904","created_at":"2026-05-18T03:59:03Z"},{"alias_kind":"arxiv_version","alias_value":"1012.0904v2","created_at":"2026-05-18T03:59:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.0904","created_at":"2026-05-18T03:59:03Z"},{"alias_kind":"pith_short_12","alias_value":"NUORWU7TXJ5P","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_16","alias_value":"NUORWU7TXJ5PZUNQ","created_at":"2026-05-18T12:26:10Z"},{"alias_kind":"pith_short_8","alias_value":"NUORWU7T","created_at":"2026-05-18T12:26:10Z"}],"graph_snapshots":[{"event_id":"sha256:d2f2ede41d299b71323a72dba766c77594b4a95382f23618b7688169f9cb47cb","target":"graph","created_at":"2026-05-18T03:59:03Z","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 use superalgebras to realize the 3-algebras used to construct N=6, 8 Chern-Simons-matter (CSM) theories. We demonstrate that the superalgebra realization of the 3-algebras provides a unified framework for classifying the gauge groups of the N \\geq 5 theories based on 3-algebras. Using this realization, we rederive the ordinary Lie algebra construction of the general N=6 CSM theory from its 3-algebra counterpart, and reproduce all known examples as well. In particular, we explicitly construct the Nambu 3-bracket in terms of a double graded commutator of PSU(2|2). The N = 8 theory of Bagger, ","authors_text":"Fa-Min Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-04T11:29:04Z","title":"Superalgebra Realization of the 3-algebras in N=6, 8 Chern-Simons-matter Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.0904","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:d5e5f556f7a9e57c8d44b04bef5c19195bda9480ac7bb5e99ab1218de3f52cf9","target":"record","created_at":"2026-05-18T03:59:03Z","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":"7d4a9a65ed16ea23bc651ea850a0601f8b20d65ec1e2679b153d954fb8cc47f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-12-04T11:29:04Z","title_canon_sha256":"f8519384d0498aa8a3612a7e906f8d22835c3fc88edf1efdb635a595a0fbdcdf"},"schema_version":"1.0","source":{"id":"1012.0904","kind":"arxiv","version":2}},"canonical_sha256":"6d1d1b53f3ba7afcd1b0c0c6d4655e1eebb5c880bd4a8b97caa6e60f6feb38c4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d1d1b53f3ba7afcd1b0c0c6d4655e1eebb5c880bd4a8b97caa6e60f6feb38c4","first_computed_at":"2026-05-18T03:59:03.329251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:59:03.329251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ntgMe7sqPXr+SC2y0NfuYpkXKDikuVpzrjpD/E6qYIbjOhlLl+rlCDO3Th0QK9voh4+Agv1YXUYi85/KfWyXBA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:59:03.329813Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.0904","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d5e5f556f7a9e57c8d44b04bef5c19195bda9480ac7bb5e99ab1218de3f52cf9","sha256:d2f2ede41d299b71323a72dba766c77594b4a95382f23618b7688169f9cb47cb"],"state_sha256":"0cfa37d1530deda898d73777f2ff30e394fd64a2baafc8a8bdc33b60c10ad74d"}