{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:IQAAJET67AA6Q6SEVYWYVX6ZLB","short_pith_number":"pith:IQAAJET6","schema_version":"1.0","canonical_sha256":"440004927ef801e87a44ae2d8adfd9585ad45e73334b2bb7432ea000362c0676","source":{"kind":"arxiv","id":"1510.01063","version":2},"attestation_state":"computed","paper":{"title":"General $\\varepsilon$-representation for scalar one-loop Feynman integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Johannes Bluemlein, Khiem Hong Phan, Tord Riemann","submitted_at":"2015-10-05T08:44:34Z","abstract_excerpt":"A systematic study of the scalar one-loop two-, three-, and four-point Feynman integrals is performed. We consider all cases of mass assignment and external invariants and derive closed expressions in arbitrary space-time dimension in terms of higher transcendental functions. The integrals play a role as building blocks in general higher-loop or multi-leg processes. We also perform numerical checks of the calculations using AMBRE/MB and LoopTools/FF."},"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":"1510.01063","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-10-05T08:44:34Z","cross_cats_sorted":[],"title_canon_sha256":"7141ffa5f4dcc27cf73f53c8aca70118bb41ea2534e85f38d3a77d0b9a89fa6f","abstract_canon_sha256":"87a25bfb3b6a08f41296ebfa614ffbfce546034cb00fb18c1c38147db9762553"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:11.564715Z","signature_b64":"3tyNf491H7PrktE84ip/dy0JC4EtkrQtB6y2LbAK8UpLqwcuKeO/jpJhinTNzEEztdLqvCdacCJwNKCeOyRHDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"440004927ef801e87a44ae2d8adfd9585ad45e73334b2bb7432ea000362c0676","last_reissued_at":"2026-05-18T01:17:11.563980Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:11.563980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"General $\\varepsilon$-representation for scalar one-loop Feynman integrals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Johannes Bluemlein, Khiem Hong Phan, Tord Riemann","submitted_at":"2015-10-05T08:44:34Z","abstract_excerpt":"A systematic study of the scalar one-loop two-, three-, and four-point Feynman integrals is performed. We consider all cases of mass assignment and external invariants and derive closed expressions in arbitrary space-time dimension in terms of higher transcendental functions. The integrals play a role as building blocks in general higher-loop or multi-leg processes. We also perform numerical checks of the calculations using AMBRE/MB and LoopTools/FF."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.01063","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":"1510.01063","created_at":"2026-05-18T01:17:11.564092+00:00"},{"alias_kind":"arxiv_version","alias_value":"1510.01063v2","created_at":"2026-05-18T01:17:11.564092+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.01063","created_at":"2026-05-18T01:17:11.564092+00:00"},{"alias_kind":"pith_short_12","alias_value":"IQAAJET67AA6","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_16","alias_value":"IQAAJET67AA6Q6SE","created_at":"2026-05-18T12:29:25.134429+00:00"},{"alias_kind":"pith_short_8","alias_value":"IQAAJET6","created_at":"2026-05-18T12:29:25.134429+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB","json":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB.json","graph_json":"https://pith.science/api/pith-number/IQAAJET67AA6Q6SEVYWYVX6ZLB/graph.json","events_json":"https://pith.science/api/pith-number/IQAAJET67AA6Q6SEVYWYVX6ZLB/events.json","paper":"https://pith.science/paper/IQAAJET6"},"agent_actions":{"view_html":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB","download_json":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB.json","view_paper":"https://pith.science/paper/IQAAJET6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1510.01063&json=true","fetch_graph":"https://pith.science/api/pith-number/IQAAJET67AA6Q6SEVYWYVX6ZLB/graph.json","fetch_events":"https://pith.science/api/pith-number/IQAAJET67AA6Q6SEVYWYVX6ZLB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB/action/storage_attestation","attest_author":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB/action/author_attestation","sign_citation":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB/action/citation_signature","submit_replication":"https://pith.science/pith/IQAAJET67AA6Q6SEVYWYVX6ZLB/action/replication_record"}},"created_at":"2026-05-18T01:17:11.564092+00:00","updated_at":"2026-05-18T01:17:11.564092+00:00"}