{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2011:OCLVH6ZI3SP6OUSMDD3CJ4QEK4","short_pith_number":"pith:OCLVH6ZI","schema_version":"1.0","canonical_sha256":"709753fb28dc9fe7524c18f624f20457297d6de8c8d99082e12d7afa4ee163c6","source":{"kind":"arxiv","id":"1112.6432","version":3},"attestation_state":"computed","paper":{"title":"The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander DiRe, Amin Shaikh, Anastasia Volovich, Jacob L. Bourjaily, Marcus Spradlin","submitted_at":"2011-12-29T20:58:14Z","abstract_excerpt":"Infrared divergences in scattering amplitudes arise when a loop momentum $\\ell$ becomes collinear with a massless external momentum $p$. In gauge theories, it is known that the L-loop logarithm of a planar amplitude has much softer infrared singularities than the L-loop amplitude itself. We argue that planar amplitudes in N=4 super-Yang-Mills theory enjoy softer than expected behavior as $\\ell \\parallel p$ already at the level of the integrand. Moreover, we conjecture that the four-point integrand can be uniquely determined, to any loop-order, by imposing the correct soft-behavior of the logar"},"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":"1112.6432","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-29T20:58:14Z","cross_cats_sorted":[],"title_canon_sha256":"f0f96b461155cd19416593ab4264be2001b96f7b23dce2f1cad82c90c970059b","abstract_canon_sha256":"da4d9ad72c3567659ff7df49b8bcbb199135d67b0182b7db737f476f363b37db"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:59.653698Z","signature_b64":"7S9Esg54KMp7rujPxW201wX8Aerz7csWS4OAJKocyom7Bo5tweNIXRY6lrioOIy7RTF8USqajSXUJWJR9d86CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"709753fb28dc9fe7524c18f624f20457297d6de8c8d99082e12d7afa4ee163c6","last_reissued_at":"2026-05-18T01:58:59.653059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:59.653059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Soft-Collinear Bootstrap: N=4 Yang-Mills Amplitudes at Six and Seven Loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Alexander DiRe, Amin Shaikh, Anastasia Volovich, Jacob L. Bourjaily, Marcus Spradlin","submitted_at":"2011-12-29T20:58:14Z","abstract_excerpt":"Infrared divergences in scattering amplitudes arise when a loop momentum $\\ell$ becomes collinear with a massless external momentum $p$. In gauge theories, it is known that the L-loop logarithm of a planar amplitude has much softer infrared singularities than the L-loop amplitude itself. We argue that planar amplitudes in N=4 super-Yang-Mills theory enjoy softer than expected behavior as $\\ell \\parallel p$ already at the level of the integrand. Moreover, we conjecture that the four-point integrand can be uniquely determined, to any loop-order, by imposing the correct soft-behavior of the logar"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.6432","kind":"arxiv","version":3},"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":"1112.6432","created_at":"2026-05-18T01:58:59.653152+00:00"},{"alias_kind":"arxiv_version","alias_value":"1112.6432v3","created_at":"2026-05-18T01:58:59.653152+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.6432","created_at":"2026-05-18T01:58:59.653152+00:00"},{"alias_kind":"pith_short_12","alias_value":"OCLVH6ZI3SP6","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_16","alias_value":"OCLVH6ZI3SP6OUSM","created_at":"2026-05-18T12:26:37.096874+00:00"},{"alias_kind":"pith_short_8","alias_value":"OCLVH6ZI","created_at":"2026-05-18T12:26:37.096874+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.28926","citing_title":"Multi-Loop Negative Geometries","ref_index":98,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4","json":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4.json","graph_json":"https://pith.science/api/pith-number/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/graph.json","events_json":"https://pith.science/api/pith-number/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/events.json","paper":"https://pith.science/paper/OCLVH6ZI"},"agent_actions":{"view_html":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4","download_json":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4.json","view_paper":"https://pith.science/paper/OCLVH6ZI","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1112.6432&json=true","fetch_graph":"https://pith.science/api/pith-number/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/graph.json","fetch_events":"https://pith.science/api/pith-number/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/action/storage_attestation","attest_author":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/action/author_attestation","sign_citation":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/action/citation_signature","submit_replication":"https://pith.science/pith/OCLVH6ZI3SP6OUSMDD3CJ4QEK4/action/replication_record"}},"created_at":"2026-05-18T01:58:59.653152+00:00","updated_at":"2026-05-18T01:58:59.653152+00:00"}