{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:3H3ZPRGUIUSWSPU3IWWNSBOUED","short_pith_number":"pith:3H3ZPRGU","schema_version":"1.0","canonical_sha256":"d9f797c4d44525693e9b45acd905d420cbee5004882188cc5ed333727b82d437","source":{"kind":"arxiv","id":"1903.10890","version":2},"attestation_state":"computed","paper":{"title":"Six-Gluon Amplitudes in Planar ${\\cal N}=4$ Super-Yang-Mills Theory at Six and Seven Loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Andrew J. McLeod, Falko Dulat, Georgios Papathanasiou, Lance J. Dixon, Matt von Hippel, Simon Caron-Huot","submitted_at":"2019-03-26T13:42:57Z","abstract_excerpt":"We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended Steinmann relations and using the cosmic Galois coaction principle. Starting from a minimal space of functions constructed using these principles, we identify the amplitude by matching its symmetries and predicted behavior in various kinematic limits. Through five loops, the MHV and NMHV amplitudes are uniquely determined using only the multi-Regge and leading coll"},"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":"1903.10890","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2019-03-26T13:42:57Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"e122ffebe4c7174f82403bfd88a8d29d9c0463a7d9c1a4a0f0b853e2c5b30033","abstract_canon_sha256":"6f2c8e466b1771135e4bdb91011504c13f1d4c7f299bd78e60f5fe03bc71fb14"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:01:45.809590Z","signature_b64":"6kTJ+FegtZHdT4IVJKBYRQdJgP8HrE8ZTuWPakFnm2cJR24QW/okZRYbpI2nNSzRnjY/v98+eLMuDrf645s2AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d9f797c4d44525693e9b45acd905d420cbee5004882188cc5ed333727b82d437","last_reissued_at":"2026-07-05T00:01:45.809163Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:01:45.809163Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Six-Gluon Amplitudes in Planar ${\\cal N}=4$ Super-Yang-Mills Theory at Six and Seven Loops","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Andrew J. McLeod, Falko Dulat, Georgios Papathanasiou, Lance J. Dixon, Matt von Hippel, Simon Caron-Huot","submitted_at":"2019-03-26T13:42:57Z","abstract_excerpt":"We compute the six-particle maximally-helicity-violating (MHV) and next-to-MHV (NMHV) amplitudes in planar maximally supersymmetric Yang-Mills theory through seven loops and six loops, respectively, as an application of the extended Steinmann relations and using the cosmic Galois coaction principle. Starting from a minimal space of functions constructed using these principles, we identify the amplitude by matching its symmetries and predicted behavior in various kinematic limits. Through five loops, the MHV and NMHV amplitudes are uniquely determined using only the multi-Regge and leading coll"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1903.10890","kind":"arxiv","version":2},"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/1903.10890/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":"1903.10890","created_at":"2026-07-05T00:01:45.809222+00:00"},{"alias_kind":"arxiv_version","alias_value":"1903.10890v2","created_at":"2026-07-05T00:01:45.809222+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1903.10890","created_at":"2026-07-05T00:01:45.809222+00:00"},{"alias_kind":"pith_short_12","alias_value":"3H3ZPRGUIUSW","created_at":"2026-07-05T00:01:45.809222+00:00"},{"alias_kind":"pith_short_16","alias_value":"3H3ZPRGUIUSWSPU3","created_at":"2026-07-05T00:01:45.809222+00:00"},{"alias_kind":"pith_short_8","alias_value":"3H3ZPRGU","created_at":"2026-07-05T00:01:45.809222+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.18362","citing_title":"Tracing Transcendentality in Protected Correlators of N=4 SYM","ref_index":41,"is_internal_anchor":false},{"citing_arxiv_id":"2605.28926","citing_title":"Multi-Loop Negative Geometries","ref_index":20,"is_internal_anchor":false},{"citing_arxiv_id":"2112.11842","citing_title":"Kinematics, cluster algebras and Feynman integrals","ref_index":8,"is_internal_anchor":false},{"citing_arxiv_id":"2604.22683","citing_title":"Landau Analysis of One-Cycle Negative Geometries","ref_index":14,"is_internal_anchor":false},{"citing_arxiv_id":"2604.21015","citing_title":"Form factors of $\\mathscr{N}=4$ self-dual Yang-Mills from the chiral algebra bootstrap","ref_index":26,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED","json":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED.json","graph_json":"https://pith.science/api/pith-number/3H3ZPRGUIUSWSPU3IWWNSBOUED/graph.json","events_json":"https://pith.science/api/pith-number/3H3ZPRGUIUSWSPU3IWWNSBOUED/events.json","paper":"https://pith.science/paper/3H3ZPRGU"},"agent_actions":{"view_html":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED","download_json":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED.json","view_paper":"https://pith.science/paper/3H3ZPRGU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1903.10890&json=true","fetch_graph":"https://pith.science/api/pith-number/3H3ZPRGUIUSWSPU3IWWNSBOUED/graph.json","fetch_events":"https://pith.science/api/pith-number/3H3ZPRGUIUSWSPU3IWWNSBOUED/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED/action/timestamp_anchor","attest_storage":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED/action/storage_attestation","attest_author":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED/action/author_attestation","sign_citation":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED/action/citation_signature","submit_replication":"https://pith.science/pith/3H3ZPRGUIUSWSPU3IWWNSBOUED/action/replication_record"}},"created_at":"2026-07-05T00:01:45.809222+00:00","updated_at":"2026-07-05T00:01:45.809222+00:00"}