{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2023:GI7IILV44SHN26PCY62KTRPHYV","short_pith_number":"pith:GI7IILV4","schema_version":"1.0","canonical_sha256":"323e842ebce48edd79e2c7b4a9c5e7c5646c0fd61deae2fd42f158ed9bcd26b0","source":{"kind":"arxiv","id":"2307.02542","version":1},"attestation_state":"computed","paper":{"title":"Gauge-Invariant Double-Copies via Recursion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jacob L. Bourjaily, Kokkimidis Patatoukos, Michael Plesser, Nikhil Kalyanapuram, Yaqi Zhang","submitted_at":"2023-07-05T18:00:03Z","abstract_excerpt":"We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying the recursive scheme leads to a wide variety of distinct, but equally valid representations of gravitational amplitudes, all realized as double-copies."},"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":"2307.02542","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2023-07-05T18:00:03Z","cross_cats_sorted":[],"title_canon_sha256":"2a6cefda641526aa19f6c6cf29c850350bc782af61737eaa20dcbff0d796d342","abstract_canon_sha256":"1b70fcbdb4987f9c255ad8076bee3da515486825f410ace57a5f56187466bab4"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:28:21.400678Z","signature_b64":"rYBpW1myVmMZcHFDisIxOknqMP3Eef88R0KH+EnB01KiEoUFbtEhilwl487zjmz/FodDPYXDoKhCJnPIOeTTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"323e842ebce48edd79e2c7b4a9c5e7c5646c0fd61deae2fd42f158ed9bcd26b0","last_reissued_at":"2026-07-05T06:28:21.400188Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:28:21.400188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Gauge-Invariant Double-Copies via Recursion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jacob L. Bourjaily, Kokkimidis Patatoukos, Michael Plesser, Nikhil Kalyanapuram, Yaqi Zhang","submitted_at":"2023-07-05T18:00:03Z","abstract_excerpt":"We prove that all tree-level amplitudes in pure (super-)gravity can be expressed as term-wise, gauge-invariant double-copies of those of pure (super-)Yang-Mills obtained via BCFW recursion. These representations are far from unique: varying the recursive scheme leads to a wide variety of distinct, but equally valid representations of gravitational amplitudes, all realized as double-copies."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2307.02542","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/2307.02542/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":"2307.02542","created_at":"2026-07-05T06:28:21.400245+00:00"},{"alias_kind":"arxiv_version","alias_value":"2307.02542v1","created_at":"2026-07-05T06:28:21.400245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2307.02542","created_at":"2026-07-05T06:28:21.400245+00:00"},{"alias_kind":"pith_short_12","alias_value":"GI7IILV44SHN","created_at":"2026-07-05T06:28:21.400245+00:00"},{"alias_kind":"pith_short_16","alias_value":"GI7IILV44SHN26PC","created_at":"2026-07-05T06:28:21.400245+00:00"},{"alias_kind":"pith_short_8","alias_value":"GI7IILV4","created_at":"2026-07-05T06:28:21.400245+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2604.18672","citing_title":"Tree Amplitudes with Charged Matter in Pure Gauge Theory","ref_index":45,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV","json":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV.json","graph_json":"https://pith.science/api/pith-number/GI7IILV44SHN26PCY62KTRPHYV/graph.json","events_json":"https://pith.science/api/pith-number/GI7IILV44SHN26PCY62KTRPHYV/events.json","paper":"https://pith.science/paper/GI7IILV4"},"agent_actions":{"view_html":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV","download_json":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV.json","view_paper":"https://pith.science/paper/GI7IILV4","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2307.02542&json=true","fetch_graph":"https://pith.science/api/pith-number/GI7IILV44SHN26PCY62KTRPHYV/graph.json","fetch_events":"https://pith.science/api/pith-number/GI7IILV44SHN26PCY62KTRPHYV/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV/action/storage_attestation","attest_author":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV/action/author_attestation","sign_citation":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV/action/citation_signature","submit_replication":"https://pith.science/pith/GI7IILV44SHN26PCY62KTRPHYV/action/replication_record"}},"created_at":"2026-07-05T06:28:21.400245+00:00","updated_at":"2026-07-05T06:28:21.400245+00:00"}