{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:XAWVS37C4BMOWPZCKTFTLJA2GX","short_pith_number":"pith:XAWVS37C","schema_version":"1.0","canonical_sha256":"b82d596fe2e058eb3f2254cb35a41a35c6ecd62ed72578dd2b613d45937e9f42","source":{"kind":"arxiv","id":"1007.0195","version":1},"attestation_state":"computed","paper":{"title":"A Direct Proof of BCFW Recursion for Twistor-Strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"David Skinner","submitted_at":"2010-07-01T15:37:36Z","abstract_excerpt":"This paper gives a direct proof that the leading trace part of the genus zero twistor-string path integral obeys the BCFW recursion relation. This is the first complete proof that the twistor-string correctly computes all tree amplitudes in maximally supersymmetric Yang-Mills theory. The recursion has a beautiful geometric interpretation in twistor space that closely reflects the structure of BCFW recursion in momentum space, both on the one hand as a relation purely among tree amplitudes with shifted external momenta, and on the other as a relation between tree amplitudes and leading singular"},"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":"1007.0195","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-07-01T15:37:36Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"51c8627833f9de6e0f1bd5a360b7efce166ac4a356db75ffc6aa006390613c6b","abstract_canon_sha256":"40c4a10ddebef79038ec4546e46db9d24b007fa023823ce3c8c3597b31216750"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:27:27.051261Z","signature_b64":"7MHufWXdYXsYGPKXlfqN0dV4xPqbC3CJdix0XpjZeV3qnEffC6Taa4nIy9Qj9egrF/jGCdwpN/jIqd1AjdkZDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b82d596fe2e058eb3f2254cb35a41a35c6ecd62ed72578dd2b613d45937e9f42","last_reissued_at":"2026-05-18T04:27:27.050809Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:27:27.050809Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Direct Proof of BCFW Recursion for Twistor-Strings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"David Skinner","submitted_at":"2010-07-01T15:37:36Z","abstract_excerpt":"This paper gives a direct proof that the leading trace part of the genus zero twistor-string path integral obeys the BCFW recursion relation. This is the first complete proof that the twistor-string correctly computes all tree amplitudes in maximally supersymmetric Yang-Mills theory. The recursion has a beautiful geometric interpretation in twistor space that closely reflects the structure of BCFW recursion in momentum space, both on the one hand as a relation purely among tree amplitudes with shifted external momenta, and on the other as a relation between tree amplitudes and leading singular"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1007.0195","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":""},"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":"1007.0195","created_at":"2026-05-18T04:27:27.050868+00:00"},{"alias_kind":"arxiv_version","alias_value":"1007.0195v1","created_at":"2026-05-18T04:27:27.050868+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1007.0195","created_at":"2026-05-18T04:27:27.050868+00:00"},{"alias_kind":"pith_short_12","alias_value":"XAWVS37C4BMO","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_16","alias_value":"XAWVS37C4BMOWPZC","created_at":"2026-05-18T12:26:17.028572+00:00"},{"alias_kind":"pith_short_8","alias_value":"XAWVS37C","created_at":"2026-05-18T12:26:17.028572+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/XAWVS37C4BMOWPZCKTFTLJA2GX","json":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX.json","graph_json":"https://pith.science/api/pith-number/XAWVS37C4BMOWPZCKTFTLJA2GX/graph.json","events_json":"https://pith.science/api/pith-number/XAWVS37C4BMOWPZCKTFTLJA2GX/events.json","paper":"https://pith.science/paper/XAWVS37C"},"agent_actions":{"view_html":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX","download_json":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX.json","view_paper":"https://pith.science/paper/XAWVS37C","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1007.0195&json=true","fetch_graph":"https://pith.science/api/pith-number/XAWVS37C4BMOWPZCKTFTLJA2GX/graph.json","fetch_events":"https://pith.science/api/pith-number/XAWVS37C4BMOWPZCKTFTLJA2GX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX/action/storage_attestation","attest_author":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX/action/author_attestation","sign_citation":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX/action/citation_signature","submit_replication":"https://pith.science/pith/XAWVS37C4BMOWPZCKTFTLJA2GX/action/replication_record"}},"created_at":"2026-05-18T04:27:27.050868+00:00","updated_at":"2026-05-18T04:27:27.050868+00:00"}