{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2008:RYRJX5TMCFYZISQRZEEUH7HY5X","short_pith_number":"pith:RYRJX5TM","schema_version":"1.0","canonical_sha256":"8e229bf66c1171944a11c90943fcf8edf67eac97d7d0fdf883f2fd9cd427617d","source":{"kind":"arxiv","id":"0803.1988","version":1},"attestation_state":"computed","paper":{"title":"Sharpening The Leading Singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Freddy Cachazo","submitted_at":"2008-03-13T15:08:15Z","abstract_excerpt":"We show how studying leading singularities of Feynman diagrams, when all momenta are complex, gives a simple way of writing multi-loop and multi-particle scattering amplitudes in N=4 super Yang-Mills. The simplicity of the method is equivalent to that of the quadruple cut technique introduced in hep-th/0412103 at one-loop. The new technique only involves the computation of residues and the solution of linear equations. In our technique both parity even and parity odd pieces of a coefficient are computed simultaneously and it is only at the end that a separation can be made if desired. We expla"},"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":"0803.1988","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2008-03-13T15:08:15Z","cross_cats_sorted":[],"title_canon_sha256":"2034f96ef2db3110a379421e18a4bd7b7d97f09bd22e38c732f7e285aefea3f4","abstract_canon_sha256":"d08427d5b01c93e647be2be6284fa9cdca60f376f22c7881a864dff68b05f5f1"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:10:12.778857Z","signature_b64":"01XMPDt3entJvxvBwxhemzuW1iMzJ5X0iDWRree7BQBxOpLrqoba1T3IOdlVLZGFS2hvtVNTOYq2g2GuphNwCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e229bf66c1171944a11c90943fcf8edf67eac97d7d0fdf883f2fd9cd427617d","last_reissued_at":"2026-07-04T15:10:12.778468Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:10:12.778468Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharpening The Leading Singularity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Freddy Cachazo","submitted_at":"2008-03-13T15:08:15Z","abstract_excerpt":"We show how studying leading singularities of Feynman diagrams, when all momenta are complex, gives a simple way of writing multi-loop and multi-particle scattering amplitudes in N=4 super Yang-Mills. The simplicity of the method is equivalent to that of the quadruple cut technique introduced in hep-th/0412103 at one-loop. The new technique only involves the computation of residues and the solution of linear equations. In our technique both parity even and parity odd pieces of a coefficient are computed simultaneously and it is only at the end that a separation can be made if desired. We expla"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0803.1988","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/0803.1988/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":"0803.1988","created_at":"2026-07-04T15:10:12.778525+00:00"},{"alias_kind":"arxiv_version","alias_value":"0803.1988v1","created_at":"2026-07-04T15:10:12.778525+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0803.1988","created_at":"2026-07-04T15:10:12.778525+00:00"},{"alias_kind":"pith_short_12","alias_value":"RYRJX5TMCFYZ","created_at":"2026-07-04T15:10:12.778525+00:00"},{"alias_kind":"pith_short_16","alias_value":"RYRJX5TMCFYZISQR","created_at":"2026-07-04T15:10:12.778525+00:00"},{"alias_kind":"pith_short_8","alias_value":"RYRJX5TM","created_at":"2026-07-04T15:10:12.778525+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":6,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2606.21702","citing_title":"Analytic results for heavy-quark contributions to charged-current DIS at NNLO","ref_index":75,"is_internal_anchor":true},{"citing_arxiv_id":"2606.30354","citing_title":"Solution of Canonical Differential Equations for Integrals on Arbitrary Geometries","ref_index":20,"is_internal_anchor":true},{"citing_arxiv_id":"2605.28955","citing_title":"Bootstrapping the Four-Point NMHV Stress-Tensor Form Factor","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2605.17056","citing_title":"Five legs @ three loops: N=4 sYM amplitude near mass-shell","ref_index":18,"is_internal_anchor":true},{"citing_arxiv_id":"2512.13794","citing_title":"The spectrum of Feynman-integral geometries at two loops","ref_index":74,"is_internal_anchor":true},{"citing_arxiv_id":"2604.25270","citing_title":"Integrand Analysis, Leading Singularities and Canonical Bases beyond Polylogarithms","ref_index":14,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X","json":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X.json","graph_json":"https://pith.science/api/pith-number/RYRJX5TMCFYZISQRZEEUH7HY5X/graph.json","events_json":"https://pith.science/api/pith-number/RYRJX5TMCFYZISQRZEEUH7HY5X/events.json","paper":"https://pith.science/paper/RYRJX5TM"},"agent_actions":{"view_html":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X","download_json":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X.json","view_paper":"https://pith.science/paper/RYRJX5TM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0803.1988&json=true","fetch_graph":"https://pith.science/api/pith-number/RYRJX5TMCFYZISQRZEEUH7HY5X/graph.json","fetch_events":"https://pith.science/api/pith-number/RYRJX5TMCFYZISQRZEEUH7HY5X/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X/action/storage_attestation","attest_author":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X/action/author_attestation","sign_citation":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X/action/citation_signature","submit_replication":"https://pith.science/pith/RYRJX5TMCFYZISQRZEEUH7HY5X/action/replication_record"}},"created_at":"2026-07-04T15:10:12.778525+00:00","updated_at":"2026-07-04T15:10:12.778525+00:00"}