{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:H5DFWIOTVJPCCH2N3EYZMR6SDO","short_pith_number":"pith:H5DFWIOT","schema_version":"1.0","canonical_sha256":"3f465b21d3aa5e211f4dd9319647d21ba9d7f481f2dd3d44610c2eeb5dda69aa","source":{"kind":"arxiv","id":"2210.13505","version":1},"attestation_state":"computed","paper":{"title":"One-loop hexagon integral to higher orders in the dimensional regulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Antonela Matija\\v{s}i\\'c, Johannes M. Henn, Julian Miczajka","submitted_at":"2022-10-24T18:02:43Z","abstract_excerpt":"The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general $D$-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude appl"},"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":"2210.13505","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2022-10-24T18:02:43Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"63ada1d082cb7c3feaad1aa1da7294eca511c2cff40e0e79610f6b06d82360d7","abstract_canon_sha256":"08286879bea89e5c875cce602031ffaf73faa80eb926241fc7095d34dee160cf"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:39:23.186768Z","signature_b64":"gkhnl75WZ1MnTcY3UStN2+VW7cBH2qXXXsVmRxeBCIuxbAffl4N82DczCArCRmoqrbA0A7ZAyTBSD8MHJmnUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3f465b21d3aa5e211f4dd9319647d21ba9d7f481f2dd3d44610c2eeb5dda69aa","last_reissued_at":"2026-07-05T05:39:23.186249Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:39:23.186249Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"One-loop hexagon integral to higher orders in the dimensional regulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Antonela Matija\\v{s}i\\'c, Johannes M. Henn, Julian Miczajka","submitted_at":"2022-10-24T18:02:43Z","abstract_excerpt":"The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general $D$-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude appl"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2210.13505","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/2210.13505/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":"2210.13505","created_at":"2026-07-05T05:39:23.186309+00:00"},{"alias_kind":"arxiv_version","alias_value":"2210.13505v1","created_at":"2026-07-05T05:39:23.186309+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2210.13505","created_at":"2026-07-05T05:39:23.186309+00:00"},{"alias_kind":"pith_short_12","alias_value":"H5DFWIOTVJPC","created_at":"2026-07-05T05:39:23.186309+00:00"},{"alias_kind":"pith_short_16","alias_value":"H5DFWIOTVJPCCH2N","created_at":"2026-07-05T05:39:23.186309+00:00"},{"alias_kind":"pith_short_8","alias_value":"H5DFWIOT","created_at":"2026-07-05T05:39:23.186309+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":2,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2605.03051","citing_title":"Pseudo-Evanescent Feynman Integrals from Local Subtraction","ref_index":5,"is_internal_anchor":false},{"citing_arxiv_id":"2604.12613","citing_title":"Next-to-next-to-next-to-leading order QCD corrections to photon-pair production","ref_index":101,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO","json":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO.json","graph_json":"https://pith.science/api/pith-number/H5DFWIOTVJPCCH2N3EYZMR6SDO/graph.json","events_json":"https://pith.science/api/pith-number/H5DFWIOTVJPCCH2N3EYZMR6SDO/events.json","paper":"https://pith.science/paper/H5DFWIOT"},"agent_actions":{"view_html":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO","download_json":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO.json","view_paper":"https://pith.science/paper/H5DFWIOT","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2210.13505&json=true","fetch_graph":"https://pith.science/api/pith-number/H5DFWIOTVJPCCH2N3EYZMR6SDO/graph.json","fetch_events":"https://pith.science/api/pith-number/H5DFWIOTVJPCCH2N3EYZMR6SDO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO/action/storage_attestation","attest_author":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO/action/author_attestation","sign_citation":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO/action/citation_signature","submit_replication":"https://pith.science/pith/H5DFWIOTVJPCCH2N3EYZMR6SDO/action/replication_record"}},"created_at":"2026-07-05T05:39:23.186309+00:00","updated_at":"2026-07-05T05:39:23.186309+00:00"}