{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:MQURGPHZGQRQ33NQHGNHTS3MP7","short_pith_number":"pith:MQURGPHZ","schema_version":"1.0","canonical_sha256":"6429133cf934230dedb0399a79cb6c7fcd93b17bbaaf41247c21caaffb8656be","source":{"kind":"arxiv","id":"2110.04853","version":1},"attestation_state":"computed","paper":{"title":"Manifest colour-kinematics duality and double-copy in the string-based formalism","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alexander Quintero Velez, Christian Schubert, Cristhiam Lopez-Arcos, Filippo Maria Balli, Naser Ahmadiniaz, Olindo Corradini","submitted_at":"2021-10-10T17:02:50Z","abstract_excerpt":"The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we show that in order for this to happen we first have to ensure that the multi-particle polarisations satisfy colour-kinematics duality. In previous work it has been show that this arises naturally from the Bern-Kosower formalism for one-loop gluon amplitudes, and here we show that the tensor product for multi-particle fields arise naturally in the Bern-Dunbar-Sh"},"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":"2110.04853","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-th","submitted_at":"2021-10-10T17:02:50Z","cross_cats_sorted":["gr-qc"],"title_canon_sha256":"6a9edb1499d7f369598fad455f1bf05161ae9d543dab9985358835e52e10bece","abstract_canon_sha256":"0a975c2fa4b97f452810042e84f35eb4e2dcf4356622af1faed11016a215be18"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:00:58.595115Z","signature_b64":"ni3VhExBNkkllaYUNQ8TXz29I+eP7sTY4g4/0JbSdELQaEh8DaJJHlS3XvKQ/30PZsOzaYJJTg4fcZpWGzq+Cw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6429133cf934230dedb0399a79cb6c7fcd93b17bbaaf41247c21caaffb8656be","last_reissued_at":"2026-07-05T04:00:58.594652Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:00:58.594652Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Manifest colour-kinematics duality and double-copy in the string-based formalism","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"Alexander Quintero Velez, Christian Schubert, Cristhiam Lopez-Arcos, Filippo Maria Balli, Naser Ahmadiniaz, Olindo Corradini","submitted_at":"2021-10-10T17:02:50Z","abstract_excerpt":"The relation for the gravity polarisation tensor as the tensor product of two gluon polarisation vectors has been well-known for a long time, but a version of this relation for multi-particle fields is presently still not known. Here we show that in order for this to happen we first have to ensure that the multi-particle polarisations satisfy colour-kinematics duality. In previous work it has been show that this arises naturally from the Bern-Kosower formalism for one-loop gluon amplitudes, and here we show that the tensor product for multi-particle fields arise naturally in the Bern-Dunbar-Sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2110.04853","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2110.04853/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2110.04853","created_at":"2026-07-05T04:00:58.594712+00:00"},{"alias_kind":"arxiv_version","alias_value":"2110.04853v1","created_at":"2026-07-05T04:00:58.594712+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2110.04853","created_at":"2026-07-05T04:00:58.594712+00:00"},{"alias_kind":"pith_short_12","alias_value":"MQURGPHZGQRQ","created_at":"2026-07-05T04:00:58.594712+00:00"},{"alias_kind":"pith_short_16","alias_value":"MQURGPHZGQRQ33NQ","created_at":"2026-07-05T04:00:58.594712+00:00"},{"alias_kind":"pith_short_8","alias_value":"MQURGPHZ","created_at":"2026-07-05T04:00:58.594712+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2506.09869","citing_title":"Off-shell double copy theories in BV","ref_index":80,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7","json":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7.json","graph_json":"https://pith.science/api/pith-number/MQURGPHZGQRQ33NQHGNHTS3MP7/graph.json","events_json":"https://pith.science/api/pith-number/MQURGPHZGQRQ33NQHGNHTS3MP7/events.json","paper":"https://pith.science/paper/MQURGPHZ"},"agent_actions":{"view_html":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7","download_json":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7.json","view_paper":"https://pith.science/paper/MQURGPHZ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2110.04853&json=true","fetch_graph":"https://pith.science/api/pith-number/MQURGPHZGQRQ33NQHGNHTS3MP7/graph.json","fetch_events":"https://pith.science/api/pith-number/MQURGPHZGQRQ33NQHGNHTS3MP7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7/action/storage_attestation","attest_author":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7/action/author_attestation","sign_citation":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7/action/citation_signature","submit_replication":"https://pith.science/pith/MQURGPHZGQRQ33NQHGNHTS3MP7/action/replication_record"}},"created_at":"2026-07-05T04:00:58.594712+00:00","updated_at":"2026-07-05T04:00:58.594712+00:00"}