{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:1999:TRWK42BLN5JSE3OJ4RCP4KVUWU","short_pith_number":"pith:TRWK42BL","schema_version":"1.0","canonical_sha256":"9c6cae682b6f53226dc9e444fe2ab4b515a65708926b47b03dc083acdeb647bd","source":{"kind":"arxiv","id":"hep-ph/9907523","version":1},"attestation_state":"computed","paper":{"title":"Application of the negative-dimension approach to massless scalar box integrals","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"C. Anastasiou, C. Oleari, E.W.N. Glover","submitted_at":"1999-07-28T00:49:41Z","abstract_excerpt":"We study massless one-loop box integrals by treating the number of space-time dimensions D as a negative integer. We consider integrals with up to three kinematic scales (s, t and either zero or one off-shell legs) and with arbitrary powers of propagators. For box integrals with q kinematic scales (where q=2 or 3) we immediately obtain a representation of the graph in terms of a finite sum of generalised hypergeometric functions with q-1 variables, valid for general D. Because the power each propagator is raised to is treated as a parameter, these general expressions are useful in evaluating c"},"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/9907523","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-07-28T00:49:41Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"3e26b707a5b281dbe5a0c406a3b0f8e43a48ca4eb180115791deaf90c8cfdac9","abstract_canon_sha256":"b80fcf7962107e986d5e40225986e4905d9b433f41b4250bc0a7fadb2a74f0a8"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:18:26.330903Z","signature_b64":"UX66rh0ZdQxevlv8tgwWqp74hn87bRzFZ0ZXSpZJeD6pWGbzSJP2L9WpWxWzjcDLVEonvrPwrsGexf+adjh2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9c6cae682b6f53226dc9e444fe2ab4b515a65708926b47b03dc083acdeb647bd","last_reissued_at":"2026-07-04T15:18:26.330491Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:18:26.330491Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Application of the negative-dimension approach to massless scalar box integrals","license":"","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"C. Anastasiou, C. Oleari, E.W.N. Glover","submitted_at":"1999-07-28T00:49:41Z","abstract_excerpt":"We study massless one-loop box integrals by treating the number of space-time dimensions D as a negative integer. We consider integrals with up to three kinematic scales (s, t and either zero or one off-shell legs) and with arbitrary powers of propagators. For box integrals with q kinematic scales (where q=2 or 3) we immediately obtain a representation of the graph in terms of a finite sum of generalised hypergeometric functions with q-1 variables, valid for general D. Because the power each propagator is raised to is treated as a parameter, these general expressions are useful in evaluating c"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9907523","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/hep-ph/9907523/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":"hep-ph/9907523","created_at":"2026-07-04T15:18:26.330559+00:00"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9907523v1","created_at":"2026-07-04T15:18:26.330559+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9907523","created_at":"2026-07-04T15:18:26.330559+00:00"},{"alias_kind":"pith_short_12","alias_value":"TRWK42BLN5JS","created_at":"2026-07-04T15:18:26.330559+00:00"},{"alias_kind":"pith_short_16","alias_value":"TRWK42BLN5JSE3OJ","created_at":"2026-07-04T15:18:26.330559+00:00"},{"alias_kind":"pith_short_8","alias_value":"TRWK42BL","created_at":"2026-07-04T15:18:26.330559+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2605.03051","citing_title":"Pseudo-Evanescent Feynman Integrals from Local Subtraction","ref_index":64,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU","json":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU.json","graph_json":"https://pith.science/api/pith-number/TRWK42BLN5JSE3OJ4RCP4KVUWU/graph.json","events_json":"https://pith.science/api/pith-number/TRWK42BLN5JSE3OJ4RCP4KVUWU/events.json","paper":"https://pith.science/paper/TRWK42BL"},"agent_actions":{"view_html":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU","download_json":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU.json","view_paper":"https://pith.science/paper/TRWK42BL","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=hep-ph/9907523&json=true","fetch_graph":"https://pith.science/api/pith-number/TRWK42BLN5JSE3OJ4RCP4KVUWU/graph.json","fetch_events":"https://pith.science/api/pith-number/TRWK42BLN5JSE3OJ4RCP4KVUWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU/action/storage_attestation","attest_author":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU/action/author_attestation","sign_citation":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU/action/citation_signature","submit_replication":"https://pith.science/pith/TRWK42BLN5JSE3OJ4RCP4KVUWU/action/replication_record"}},"created_at":"2026-07-04T15:18:26.330559+00:00","updated_at":"2026-07-04T15:18:26.330559+00:00"}