{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:OKILCT5P3T7JQKKCPSO5CAWLOB","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":"ec6950a8e8ea3114544eb99e330599c2fda1d5bc515e41d04301c0db4a56ba8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-29T17:59:46Z","title_canon_sha256":"5b89e70cdc0cc405ee6badf3f6d91327b8080ae12a4f7316f0554be35d48e860"},"schema_version":"1.0","source":{"id":"1212.6650","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.6650","created_at":"2026-05-18T03:37:31Z"},{"alias_kind":"arxiv_version","alias_value":"1212.6650v1","created_at":"2026-05-18T03:37:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.6650","created_at":"2026-05-18T03:37:31Z"},{"alias_kind":"pith_short_12","alias_value":"OKILCT5P3T7J","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"OKILCT5P3T7JQKKC","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"OKILCT5P","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:84413fa428c228254d12753e63ccb5d9e7f5e273f8643e1d8d049561a2485ae4","target":"graph","created_at":"2026-05-18T03:37:31Z","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":"For further investigating the underlying structures of the D=3, N=4 Chern-Simons-matter (CSM) theories, we suggest a new concept and procedure for \"fusing\" two superalgebras into a single new superalgebra. The starting superalgebras may be those used in the previous construction of the double-symplectic 3-algebras in the N=4 CSM theories: The bosonic parts of these two superalgebras share at least one simple factor or U(1) factor. We are able to provide two different methods to do the \"fusion\". Several explicit examples are presented to demonstrate the \"fusion\" procedure. We also generalize th","authors_text":"Fa-Min Chen, Yong-Shi Wu","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-29T17:59:46Z","title":"Fusion of Superalgebras and D=3, N=4 Quiver Gauge Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.6650","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:bd112aeca02c9ad65382d83755365d275dd9953e3e576975869174613f335895","target":"record","created_at":"2026-05-18T03:37:31Z","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":"ec6950a8e8ea3114544eb99e330599c2fda1d5bc515e41d04301c0db4a56ba8e","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-29T17:59:46Z","title_canon_sha256":"5b89e70cdc0cc405ee6badf3f6d91327b8080ae12a4f7316f0554be35d48e860"},"schema_version":"1.0","source":{"id":"1212.6650","kind":"arxiv","version":1}},"canonical_sha256":"7290b14fafdcfe9829427c9dd102cb7040ddf81f0f0a2fbf0a6b731faea64482","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7290b14fafdcfe9829427c9dd102cb7040ddf81f0f0a2fbf0a6b731faea64482","first_computed_at":"2026-05-18T03:37:31.280843Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:37:31.280843Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FtQpVpb0uRknHkbWZD9z31Pc6XSbHSLSJDCyhDRxEBfm8nnHGPC/ADIC7nfsLRnhWsWC2+KhcPtD9JQ77Xl6Cw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:37:31.281475Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.6650","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bd112aeca02c9ad65382d83755365d275dd9953e3e576975869174613f335895","sha256:84413fa428c228254d12753e63ccb5d9e7f5e273f8643e1d8d049561a2485ae4"],"state_sha256":"946068ab10e91507807c10e82c7a6ae12542e66a71e1290d02c5155d65b77541"}