{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:DFTCN4YES66T3NAI57DKWWRZN5","short_pith_number":"pith:DFTCN4YE","schema_version":"1.0","canonical_sha256":"196626f30497bd3db408efc6ab5a396f7cc4f233770a94a85e8fc0b6060f482a","source":{"kind":"arxiv","id":"1305.2996","version":2},"attestation_state":"computed","paper":{"title":"Note on Construction of Dual-trace Factor in Yang-Mills Theory","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Bo Feng, Chih-Hao Fu, Yi-Jian Du","submitted_at":"2013-05-14T01:54:26Z","abstract_excerpt":"In this note we provide a new construction of BCJ dual-trace factor using the kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different from the construction given in arXiv:1304.2978 based on the proposal of arXiv:1103.0312, the method used in this note exploits the adjoint representation of kinematic algebra and the use of inner product in dual space. The dual-trace factor defined in this way naturally satisfies cyclic symmetry condition but not KK-relation, just like the trace of U(N) Lie algebra satisfies cyclic symmetry condition, but not KK-relation. In other words the "},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1305.2996","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T01:54:26Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"0d292fe0f0083df068ea41582792be511655bf75f254a9edb3e234bba408ecc2","abstract_canon_sha256":"da13769a8c47a100d5b190e44931b5ea0374bda0ac374465161b127813ff195b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:50:02.522927Z","signature_b64":"K+49MI9BJecf1zibHksvVXznKljStcMD/HpPdoKemvbi7txj75qMFY3cP31E0jvWf4VH22brON6Fr3HMH9bLDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"196626f30497bd3db408efc6ab5a396f7cc4f233770a94a85e8fc0b6060f482a","last_reissued_at":"2026-05-18T01:50:02.522256Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:50:02.522256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Note on Construction of Dual-trace Factor in Yang-Mills Theory","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Bo Feng, Chih-Hao Fu, Yi-Jian Du","submitted_at":"2013-05-14T01:54:26Z","abstract_excerpt":"In this note we provide a new construction of BCJ dual-trace factor using the kinematic algebra proposed in arXiv:1105.2565 and arXiv:1212.6168. Different from the construction given in arXiv:1304.2978 based on the proposal of arXiv:1103.0312, the method used in this note exploits the adjoint representation of kinematic algebra and the use of inner product in dual space. The dual-trace factor defined in this way naturally satisfies cyclic symmetry condition but not KK-relation, just like the trace of U(N) Lie algebra satisfies cyclic symmetry condition, but not KK-relation. In other words the "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2996","kind":"arxiv","version":2},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1305.2996","created_at":"2026-05-18T01:50:02.522374+00:00"},{"alias_kind":"arxiv_version","alias_value":"1305.2996v2","created_at":"2026-05-18T01:50:02.522374+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2996","created_at":"2026-05-18T01:50:02.522374+00:00"},{"alias_kind":"pith_short_12","alias_value":"DFTCN4YES66T","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_16","alias_value":"DFTCN4YES66T3NAI","created_at":"2026-05-18T12:27:43.054852+00:00"},{"alias_kind":"pith_short_8","alias_value":"DFTCN4YE","created_at":"2026-05-18T12:27:43.054852+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5","json":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5.json","graph_json":"https://pith.science/api/pith-number/DFTCN4YES66T3NAI57DKWWRZN5/graph.json","events_json":"https://pith.science/api/pith-number/DFTCN4YES66T3NAI57DKWWRZN5/events.json","paper":"https://pith.science/paper/DFTCN4YE"},"agent_actions":{"view_html":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5","download_json":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5.json","view_paper":"https://pith.science/paper/DFTCN4YE","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1305.2996&json=true","fetch_graph":"https://pith.science/api/pith-number/DFTCN4YES66T3NAI57DKWWRZN5/graph.json","fetch_events":"https://pith.science/api/pith-number/DFTCN4YES66T3NAI57DKWWRZN5/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/action/storage_attestation","attest_author":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/action/author_attestation","sign_citation":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/action/citation_signature","submit_replication":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/action/replication_record"}},"created_at":"2026-05-18T01:50:02.522374+00:00","updated_at":"2026-05-18T01:50:02.522374+00:00"}