{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1998:G3PLRMRNIYV2KOZTUNZPA2WYNA","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":"112a8fcdd029c12c62f54726ad41f51278865e8e9fd609c45187ba15647a3bb0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-26T19:15:08Z","title_canon_sha256":"b2024a29d199746deea825a0f196375f3f13bb167f906886a6b389fcd1c70348"},"schema_version":"1.0","source":{"id":"hep-ph/9802439","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9802439","created_at":"2026-07-04T16:09:10Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9802439v1","created_at":"2026-07-04T16:09:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9802439","created_at":"2026-07-04T16:09:10Z"},{"alias_kind":"pith_short_12","alias_value":"G3PLRMRNIYV2","created_at":"2026-07-04T16:09:10Z"},{"alias_kind":"pith_short_16","alias_value":"G3PLRMRNIYV2KOZT","created_at":"2026-07-04T16:09:10Z"},{"alias_kind":"pith_short_8","alias_value":"G3PLRMRN","created_at":"2026-07-04T16:09:10Z"}],"graph_snapshots":[{"event_id":"sha256:e8127396069d9724c32c439dcab5a4cd9accf79f3bd673d31ec4bf09eafeaebb","target":"graph","created_at":"2026-07-04T16:09:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/hep-ph/9802439/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We discuss the structure of infrared singularities in on-shell QCD amplitudes at two-loop order. We present a general factorization formula that controls all the $\\ep$-poles of the dimensionally regularized amplitudes. The dependence on the regularization scheme is considered and the coefficients of the $1/\\ep^4, 1/\\ep^3$ and $1/\\ep^2$ poles are explicitly given in the most general case. The remaining single-pole contributions are also explicitly evaluated in the case of amplitudes with a $q{\\bar q}$ pair.","authors_text":"Stefano Catani (CERN)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1998-02-26T19:15:08Z","title":"The Singular Behaviour of QCD Amplitudes at Two-loop Order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9802439","kind":"arxiv","version":1},"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":"sha256:1f67375d17efd9452a778afa18214214225407052aebf3fd957f1ce9c89902b5","target":"record","created_at":"2026-07-04T16:09:10Z","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":"112a8fcdd029c12c62f54726ad41f51278865e8e9fd609c45187ba15647a3bb0","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1998-02-26T19:15:08Z","title_canon_sha256":"b2024a29d199746deea825a0f196375f3f13bb167f906886a6b389fcd1c70348"},"schema_version":"1.0","source":{"id":"hep-ph/9802439","kind":"arxiv","version":1}},"canonical_sha256":"36deb8b22d462ba53b33a372f06ad86808630722a525bffc05b2204a33dd3523","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36deb8b22d462ba53b33a372f06ad86808630722a525bffc05b2204a33dd3523","first_computed_at":"2026-07-04T16:09:10.637020Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:09:10.637020Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UtI7fob4JnrtQHuf2RVPEhZxdc5rV5z/J/SweCaNJGIp6rmkUjkUMxaobTm5NFYSJwjeYyoqhgyF/A1lVwepDA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:09:10.637409Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9802439","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f67375d17efd9452a778afa18214214225407052aebf3fd957f1ce9c89902b5","sha256:e8127396069d9724c32c439dcab5a4cd9accf79f3bd673d31ec4bf09eafeaebb"],"state_sha256":"a70a4d23f4c2e731aa307cc7a36db96c718f36409e72ad1cc44da7eb7482b88a"}