{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:JVRL75NSVFJLJ46ABL37QXUUQV","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"5820c2348fcf15f027a99c26c71dd571eaf865dbf60736fd2433623091b8cc71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-12-12T17:26:45Z","title_canon_sha256":"3437bd509b4b150b2517280cf1820fbe0a77b25c01e878d425b05c2167649791"},"schema_version":"1.0","source":{"id":"0712.1851","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.1851","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"arxiv_version","alias_value":"0712.1851v4","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.1851","created_at":"2026-05-18T04:19:12Z"},{"alias_kind":"pith_short_12","alias_value":"JVRL75NSVFJL","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"JVRL75NSVFJLJ46A","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"JVRL75NS","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:cf938877aaa9f2010fd68fb4c5e9337dbc69182ad15b805feeea58a287021327","target":"graph","created_at":"2026-05-18T04:19:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We construct a basis set of infra-red and/or collinearly divergent scalar one-loop integrals and give analytic formulas, for tadpole, bubble, triangle and box integrals, regulating the divergences (ultra-violet, infra-red or collinear) by regularization in $D=4-2\\epsilon$ dimensions. For scalar triangle integrals we give results for our basis set containing 6 divergent integrals. For scalar box integrals we give results for our basis set containing 16 divergent integrals. We provide analytic results for the 5 divergent box integrals in the basis set which are missing in the literature. Buildin","authors_text":"Giulia Zanderighi, R. Keith Ellis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-12-12T17:26:45Z","title":"Scalar one-loop integrals for QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.1851","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7d4a3e148cc7ed96ad175f77671b70175544a1db688ffcfeb2555eae6fe7ccd1","target":"record","created_at":"2026-05-18T04:19:12Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"5820c2348fcf15f027a99c26c71dd571eaf865dbf60736fd2433623091b8cc71","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-12-12T17:26:45Z","title_canon_sha256":"3437bd509b4b150b2517280cf1820fbe0a77b25c01e878d425b05c2167649791"},"schema_version":"1.0","source":{"id":"0712.1851","kind":"arxiv","version":4}},"canonical_sha256":"4d62bff5b2a952b4f3c00af7f85e948576463bcb10c1b038bc7a1ec22d311b0d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d62bff5b2a952b4f3c00af7f85e948576463bcb10c1b038bc7a1ec22d311b0d","first_computed_at":"2026-05-18T04:19:12.521855Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:12.521855Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pM4EZbY1NMB1LXtpAiF5e5SlbvTdgz/s+XGs/OVoeUOWleTPV4QEjkAN+RLjooHmToG6OW3jGjTsqOnDZlw9DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:12.522408Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.1851","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d4a3e148cc7ed96ad175f77671b70175544a1db688ffcfeb2555eae6fe7ccd1","sha256:cf938877aaa9f2010fd68fb4c5e9337dbc69182ad15b805feeea58a287021327"],"state_sha256":"8c7af96f26950743e0a12c41e061a91d57766bfa2f1a317c6ffd0928c6a43dde"}