{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:NT6WMFJ4WBFMKEC7QHIZ4DWFTO","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":"f1e8c9979e63e3326709b1f814804816e3cd3b2b37e50ea466a81b5a7834ecb5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-18T13:13:58Z","title_canon_sha256":"d526724b7065a9b62a03eff022148c47169992e62bcdfe06d514513da3cc0fbd"},"schema_version":"1.0","source":{"id":"2310.11943","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2310.11943","created_at":"2026-07-05T08:01:16Z"},{"alias_kind":"arxiv_version","alias_value":"2310.11943v3","created_at":"2026-07-05T08:01:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2310.11943","created_at":"2026-07-05T08:01:16Z"},{"alias_kind":"pith_short_12","alias_value":"NT6WMFJ4WBFM","created_at":"2026-07-05T08:01:16Z"},{"alias_kind":"pith_short_16","alias_value":"NT6WMFJ4WBFMKEC7","created_at":"2026-07-05T08:01:16Z"},{"alias_kind":"pith_short_8","alias_value":"NT6WMFJ4","created_at":"2026-07-05T08:01:16Z"}],"graph_snapshots":[{"event_id":"sha256:ca21a1b4f3a29494233f4333c9d0d06c1188f117809cb5fadcd6aaf8e4c5d1b8","target":"graph","created_at":"2026-07-05T08:01:16Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2310.11943/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently it has been shown that Bern-Carrasco-Johansson (BCJ) numerators of colour-kinematic duality for tree-level scattering amplitudes in Yang-Mills theory (coupled with scalars) can be determined using a quasi-shuffle Hopf algebra. In this paper we consider the same theory, but with higher-derivative corrections of the forms $\\alpha' F^3$ and $\\alpha'^2 F^4$, where $F$ is the field strength. In the heavy mass limit of the scalars, we show that the BCJ numerators of these higher-derivative theories are governed by the same Hopf algebra. In particular, the kinematic algebraic structure is un","authors_text":"Congkao Wen, Gang Chen, Laurentiu Rodina","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-18T13:13:58Z","title":"Kinematic Hopf algebra for amplitudes from higher-derivative operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2310.11943","kind":"arxiv","version":3},"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:d069fb8be904135a0cbc3fce4c3948d9585f3e6fa8ec05cd57b6b2413d0f2036","target":"record","created_at":"2026-07-05T08:01:16Z","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":"f1e8c9979e63e3326709b1f814804816e3cd3b2b37e50ea466a81b5a7834ecb5","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2023-10-18T13:13:58Z","title_canon_sha256":"d526724b7065a9b62a03eff022148c47169992e62bcdfe06d514513da3cc0fbd"},"schema_version":"1.0","source":{"id":"2310.11943","kind":"arxiv","version":3}},"canonical_sha256":"6cfd66153cb04ac5105f81d19e0ec59b9ee84b20996e9d43ca9474acad776881","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6cfd66153cb04ac5105f81d19e0ec59b9ee84b20996e9d43ca9474acad776881","first_computed_at":"2026-07-05T08:01:16.257239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:01:16.257239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EccMAlkhujMdKiLOicR7x2RnFsvq11bZKcFKHOJ1ok5zisCfGqPMbtwdTlxI51tj7EX6CnvBWJpSB3XPYi22Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:01:16.257769Z","signed_message":"canonical_sha256_bytes"},"source_id":"2310.11943","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d069fb8be904135a0cbc3fce4c3948d9585f3e6fa8ec05cd57b6b2413d0f2036","sha256:ca21a1b4f3a29494233f4333c9d0d06c1188f117809cb5fadcd6aaf8e4c5d1b8"],"state_sha256":"bfcf48f8db9e172f55d84d09549c29a24b286cf870f29d9fc9c6cf2aaf6763b9"}