{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1993:GHVYAPIGWDXKXGKRD2KUYICDOR","short_pith_number":"pith:GHVYAPIG","schema_version":"1.0","canonical_sha256":"31eb803d06b0eeab99511e954c20437457b99a7260195b9e537206bf0dd5dc55","source":{"kind":"arxiv","id":"hep-ph/9306240","version":2},"attestation_state":"computed","paper":{"title":"Dimensionally Regulated Pentagon Integrals","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"D. A. Kosower, L. Dixon, Z. Bern","submitted_at":"1993-06-07T15:38:26Z","abstract_excerpt":"We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2 epsilon dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O(epsilon) corrections, a result which is the dimensionally-regulated version of a D=4 result of Melrose, and of van Neerven and Vermaseren. We obtain and solve differential equations for various dimensionally-regulated box integrals with massless internal lines,"},"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":"hep-ph/9306240","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-06-07T15:38:26Z","cross_cats_sorted":[],"title_canon_sha256":"64b7c46f10c7a64d92239d3a06a5bffc158b1b142048404aef44d1f5e272e148","abstract_canon_sha256":"940130eca647cd1f422721c14395a7be612d45e8d9d07f1a0c231a22741c490b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:35:58.490247Z","signature_b64":"0yodppRpM5ax1hlh9C2Qdp+Dfxnjk11GxmwEYENxoD+djfHgaqO3+stQE/8XGJRqY4121MD2ZU/LrgbuVWWJBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"31eb803d06b0eeab99511e954c20437457b99a7260195b9e537206bf0dd5dc55","last_reissued_at":"2026-05-18T04:35:58.489381Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:35:58.489381Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Dimensionally Regulated Pentagon Integrals","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"D. A. Kosower, L. Dixon, Z. Bern","submitted_at":"1993-06-07T15:38:26Z","abstract_excerpt":"We present methods for evaluating the Feynman parameter integrals associated with the pentagon diagram in 4-2 epsilon dimensions, along with explicit results for the integrals with all masses vanishing or with one non-vanishing external mass. The scalar pentagon integral can be expressed as a linear combination of box integrals, up to O(epsilon) corrections, a result which is the dimensionally-regulated version of a D=4 result of Melrose, and of van Neerven and Vermaseren. We obtain and solve differential equations for various dimensionally-regulated box integrals with massless internal lines,"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9306240","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":""},"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":"hep-ph/9306240","created_at":"2026-05-18T04:35:58.489517+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9306240v2","created_at":"2026-05-18T04:35:58.489517+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9306240","created_at":"2026-05-18T04:35:58.489517+00:00"},{"alias_kind":"pith_short_12","alias_value":"GHVYAPIGWDXK","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_16","alias_value":"GHVYAPIGWDXKXGKR","created_at":"2026-05-18T12:25:47.102015+00:00"},{"alias_kind":"pith_short_8","alias_value":"GHVYAPIG","created_at":"2026-05-18T12:25:47.102015+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":7,"internal_anchor_count":5,"sample":[{"citing_arxiv_id":"2505.10406","citing_title":"One-loop amplitudes for $t\\bar{t}j$ and $t\\bar{t}\\gamma$ productions at the LHC through $\\mathcal{O}(\\epsilon^2)$","ref_index":59,"is_internal_anchor":true},{"citing_arxiv_id":"2507.12533","citing_title":"$20'$ Five-Point Function of $\\mathcal{N}=4$ SYM and Stringy Corrections","ref_index":93,"is_internal_anchor":true},{"citing_arxiv_id":"2512.10709","citing_title":"Disperon QED","ref_index":92,"is_internal_anchor":true},{"citing_arxiv_id":"2602.06947","citing_title":"The gravitational Compton amplitude at third post-Minkowskian order","ref_index":138,"is_internal_anchor":true},{"citing_arxiv_id":"2603.15755","citing_title":"Negative running of gravitational positivity","ref_index":51,"is_internal_anchor":true},{"citing_arxiv_id":"2605.03051","citing_title":"Pseudo-Evanescent Feynman Integrals from Local Subtraction","ref_index":48,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14549","citing_title":"Loop integrals in de Sitter spacetime: The parity-split IBP system and $\\mathrm{d}\\log$-form differential equations","ref_index":36,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR","json":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR.json","graph_json":"https://pith.science/api/pith-number/GHVYAPIGWDXKXGKRD2KUYICDOR/graph.json","events_json":"https://pith.science/api/pith-number/GHVYAPIGWDXKXGKRD2KUYICDOR/events.json","paper":"https://pith.science/paper/GHVYAPIG"},"agent_actions":{"view_html":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR","download_json":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR.json","view_paper":"https://pith.science/paper/GHVYAPIG","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9306240&json=true","fetch_graph":"https://pith.science/api/pith-number/GHVYAPIGWDXKXGKRD2KUYICDOR/graph.json","fetch_events":"https://pith.science/api/pith-number/GHVYAPIGWDXKXGKRD2KUYICDOR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR/action/storage_attestation","attest_author":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR/action/author_attestation","sign_citation":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR/action/citation_signature","submit_replication":"https://pith.science/pith/GHVYAPIGWDXKXGKRD2KUYICDOR/action/replication_record"}},"created_at":"2026-05-18T04:35:58.489517+00:00","updated_at":"2026-05-18T04:35:58.489517+00:00"}