{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:DFTCN4YES66T3NAI57DKWWRZN5","short_pith_number":"pith:DFTCN4YE","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"},"canonical_sha256":"196626f30497bd3db408efc6ab5a396f7cc4f233770a94a85e8fc0b6060f482a","source":{"kind":"arxiv","id":"1305.2996","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2996","created_at":"2026-05-18T01:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2996v2","created_at":"2026-05-18T01:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2996","created_at":"2026-05-18T01:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"DFTCN4YES66T","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DFTCN4YES66T3NAI","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DFTCN4YE","created_at":"2026-05-18T12:27:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:DFTCN4YES66T3NAI57DKWWRZN5","target":"record","payload":{"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"},"canonical_sha256":"196626f30497bd3db408efc6ab5a396f7cc4f233770a94a85e8fc0b6060f482a","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"},"source_kind":"arxiv","source_id":"1305.2996","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:50:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"O94qcTyJuBRSOiEMQvgBC/+JyHEJQMJ+KOX9D4pA38OMiC41HC9rT7esl7MmQUnMP0+dgWmRUImRt/R+rWWRAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:31:00.331604Z"},"content_sha256":"24172aa7a039f70d60f82a7f40c55b43651eec3af38574ba79d3ef0938375bb3","schema_version":"1.0","event_id":"sha256:24172aa7a039f70d60f82a7f40c55b43651eec3af38574ba79d3ef0938375bb3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:DFTCN4YES66T3NAI57DKWWRZN5","target":"graph","payload":{"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:50:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mHAzGvhDsIPBuwGD9C4Z0IXNP7VP4c1xXTBIXWrkYk4oBk3eEG1mgEAmO43Cps6OyOq11Et/hhEf4nr+gnIuCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T08:31:00.332022Z"},"content_sha256":"bdc7989e9f0f5bc016784dc37f69a3980a5faf6cb62657ec49262cd1731a0911","schema_version":"1.0","event_id":"sha256:bdc7989e9f0f5bc016784dc37f69a3980a5faf6cb62657ec49262cd1731a0911"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/bundle.json","state_url":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DFTCN4YES66T3NAI57DKWWRZN5/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":"2026-05-27T08:31:00Z","links":{"resolver":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5","bundle":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/bundle.json","state":"https://pith.science/pith/DFTCN4YES66T3NAI57DKWWRZN5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DFTCN4YES66T3NAI57DKWWRZN5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:DFTCN4YES66T3NAI57DKWWRZN5","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":"da13769a8c47a100d5b190e44931b5ea0374bda0ac374465161b127813ff195b","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T01:54:26Z","title_canon_sha256":"0d292fe0f0083df068ea41582792be511655bf75f254a9edb3e234bba408ecc2"},"schema_version":"1.0","source":{"id":"1305.2996","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.2996","created_at":"2026-05-18T01:50:02Z"},{"alias_kind":"arxiv_version","alias_value":"1305.2996v2","created_at":"2026-05-18T01:50:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.2996","created_at":"2026-05-18T01:50:02Z"},{"alias_kind":"pith_short_12","alias_value":"DFTCN4YES66T","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_16","alias_value":"DFTCN4YES66T3NAI","created_at":"2026-05-18T12:27:43Z"},{"alias_kind":"pith_short_8","alias_value":"DFTCN4YE","created_at":"2026-05-18T12:27:43Z"}],"graph_snapshots":[{"event_id":"sha256:bdc7989e9f0f5bc016784dc37f69a3980a5faf6cb62657ec49262cd1731a0911","target":"graph","created_at":"2026-05-18T01:50:02Z","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":"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 ","authors_text":"Bo Feng, Chih-Hao Fu, Yi-Jian Du","cross_cats":["hep-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T01:54:26Z","title":"Note on Construction of Dual-trace Factor in Yang-Mills Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.2996","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":"sha256:24172aa7a039f70d60f82a7f40c55b43651eec3af38574ba79d3ef0938375bb3","target":"record","created_at":"2026-05-18T01:50:02Z","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":"da13769a8c47a100d5b190e44931b5ea0374bda0ac374465161b127813ff195b","cross_cats_sorted":["hep-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/3.0/","primary_cat":"hep-th","submitted_at":"2013-05-14T01:54:26Z","title_canon_sha256":"0d292fe0f0083df068ea41582792be511655bf75f254a9edb3e234bba408ecc2"},"schema_version":"1.0","source":{"id":"1305.2996","kind":"arxiv","version":2}},"canonical_sha256":"196626f30497bd3db408efc6ab5a396f7cc4f233770a94a85e8fc0b6060f482a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"196626f30497bd3db408efc6ab5a396f7cc4f233770a94a85e8fc0b6060f482a","first_computed_at":"2026-05-18T01:50:02.522256Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:50:02.522256Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K+49MI9BJecf1zibHksvVXznKljStcMD/HpPdoKemvbi7txj75qMFY3cP31E0jvWf4VH22brON6Fr3HMH9bLDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:50:02.522927Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.2996","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24172aa7a039f70d60f82a7f40c55b43651eec3af38574ba79d3ef0938375bb3","sha256:bdc7989e9f0f5bc016784dc37f69a3980a5faf6cb62657ec49262cd1731a0911"],"state_sha256":"c63e98a259e6233522cc8b017be74c19044a9b2858ae33b6c4fdcb3b569e3b63"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uW97k6d8hXJOyUwwxTpgux43fUm0AioIHoMtscb0i4mkxhkBBdy0qpwpI3xvbqH8LXCnoaqY2b90GZq+2fyaBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T08:31:00.334733Z","bundle_sha256":"875dcc8b64357404215eea5760cd02eaced7575c577fa3fa5aa6634db24a7c2b"}}