{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:D6VISILRRKRKMWYFZZ5WCZYMFT","short_pith_number":"pith:D6VISILR","canonical_record":{"source":{"id":"hep-ph/9908523","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-31T17:58:43Z","cross_cats_sorted":[],"title_canon_sha256":"4734e28bbf28ea097ccdae350c26f38615c1d70b0cdc4186ca75ada3a1a52488","abstract_canon_sha256":"d72f8571ae9c0f827a53efe89190dc3a04f2db2391cef42a46fc71b11542044f"},"schema_version":"1.0"},"canonical_sha256":"1faa8921718aa2a65b05ce7b61670c2cef90bffc86194cf14190db0d4d30d72a","source":{"kind":"arxiv","id":"hep-ph/9908523","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9908523","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9908523v1","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9908523","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"pith_short_12","alias_value":"D6VISILRRKRK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"D6VISILRRKRKMWYF","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"D6VISILR","created_at":"2026-05-18T12:25:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:D6VISILRRKRKMWYFZZ5WCZYMFT","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9908523","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-31T17:58:43Z","cross_cats_sorted":[],"title_canon_sha256":"4734e28bbf28ea097ccdae350c26f38615c1d70b0cdc4186ca75ada3a1a52488","abstract_canon_sha256":"d72f8571ae9c0f827a53efe89190dc3a04f2db2391cef42a46fc71b11542044f"},"schema_version":"1.0"},"canonical_sha256":"1faa8921718aa2a65b05ce7b61670c2cef90bffc86194cf14190db0d4d30d72a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:38:55.794418Z","signature_b64":"d4FbSfZFPMHJV1AqmrG2OGCzzbQ7gs0XLTPJaaXVFs+rA8gPGepJb23DF6kgQiAgczU9w/a6yoSadhRlsN0sDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1faa8921718aa2a65b05ce7b61670c2cef90bffc86194cf14190db0d4d30d72a","last_reissued_at":"2026-05-18T01:38:55.793708Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:38:55.793708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9908523","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KYOHM6v/dMecNSQYcDKa0pe9vW3UL7WB7niZf/7Pcb+3yMBB6A9crgbdV+4Y22Sh266yw7vyN6A2yU/d69jMAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:43:27.811778Z"},"content_sha256":"aa31e363e516a749535702ef75281cc77a84587b2c6000f86bc10afbfa06a70d","schema_version":"1.0","event_id":"sha256:aa31e363e516a749535702ef75281cc77a84587b2c6000f86bc10afbfa06a70d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:D6VISILRRKRKMWYFZZ5WCZYMFT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"M. Grazzini, S. Catani","submitted_at":"1999-08-31T17:58:43Z","abstract_excerpt":"We study the infrared behaviour of tree-level QCD amplitudes and we derive infrared-factorization formulae that are valid at any perturbative order. We explicitly compute all the universal infrared factors that control the singularities in the various soft and/or collinear limits at O(as^2)."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9908523","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":""},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:38:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nvmbe4lX14pSiQqHrtiviOJ0a7vgiy1f/Gky7Tk01dH7Inu+90Zg/NGJ8rYrKR04t0pv/ER8h3AtdilHAHE7Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T23:43:27.812158Z"},"content_sha256":"66f85ec48af3953bb19d3bfbc9d83ed06e59f3eb2f1158e93b1abe33adc4df3b","schema_version":"1.0","event_id":"sha256:66f85ec48af3953bb19d3bfbc9d83ed06e59f3eb2f1158e93b1abe33adc4df3b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D6VISILRRKRKMWYFZZ5WCZYMFT/bundle.json","state_url":"https://pith.science/pith/D6VISILRRKRKMWYFZZ5WCZYMFT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D6VISILRRKRKMWYFZZ5WCZYMFT/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-25T23:43:27Z","links":{"resolver":"https://pith.science/pith/D6VISILRRKRKMWYFZZ5WCZYMFT","bundle":"https://pith.science/pith/D6VISILRRKRKMWYFZZ5WCZYMFT/bundle.json","state":"https://pith.science/pith/D6VISILRRKRKMWYFZZ5WCZYMFT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D6VISILRRKRKMWYFZZ5WCZYMFT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:D6VISILRRKRKMWYFZZ5WCZYMFT","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":"d72f8571ae9c0f827a53efe89190dc3a04f2db2391cef42a46fc71b11542044f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-31T17:58:43Z","title_canon_sha256":"4734e28bbf28ea097ccdae350c26f38615c1d70b0cdc4186ca75ada3a1a52488"},"schema_version":"1.0","source":{"id":"hep-ph/9908523","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9908523","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9908523v1","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9908523","created_at":"2026-05-18T01:38:55Z"},{"alias_kind":"pith_short_12","alias_value":"D6VISILRRKRK","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_16","alias_value":"D6VISILRRKRKMWYF","created_at":"2026-05-18T12:25:49Z"},{"alias_kind":"pith_short_8","alias_value":"D6VISILR","created_at":"2026-05-18T12:25:49Z"}],"graph_snapshots":[{"event_id":"sha256:66f85ec48af3953bb19d3bfbc9d83ed06e59f3eb2f1158e93b1abe33adc4df3b","target":"graph","created_at":"2026-05-18T01:38:55Z","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 study the infrared behaviour of tree-level QCD amplitudes and we derive infrared-factorization formulae that are valid at any perturbative order. We explicitly compute all the universal infrared factors that control the singularities in the various soft and/or collinear limits at O(as^2).","authors_text":"M. Grazzini, S. Catani","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-08-31T17:58:43Z","title":"Infrared factorization of tree-level QCD amplitudes at the next-to-next-to-leading order and beyond"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9908523","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:aa31e363e516a749535702ef75281cc77a84587b2c6000f86bc10afbfa06a70d","target":"record","created_at":"2026-05-18T01:38:55Z","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":"d72f8571ae9c0f827a53efe89190dc3a04f2db2391cef42a46fc71b11542044f","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-08-31T17:58:43Z","title_canon_sha256":"4734e28bbf28ea097ccdae350c26f38615c1d70b0cdc4186ca75ada3a1a52488"},"schema_version":"1.0","source":{"id":"hep-ph/9908523","kind":"arxiv","version":1}},"canonical_sha256":"1faa8921718aa2a65b05ce7b61670c2cef90bffc86194cf14190db0d4d30d72a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1faa8921718aa2a65b05ce7b61670c2cef90bffc86194cf14190db0d4d30d72a","first_computed_at":"2026-05-18T01:38:55.793708Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:38:55.793708Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"d4FbSfZFPMHJV1AqmrG2OGCzzbQ7gs0XLTPJaaXVFs+rA8gPGepJb23DF6kgQiAgczU9w/a6yoSadhRlsN0sDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:38:55.794418Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9908523","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa31e363e516a749535702ef75281cc77a84587b2c6000f86bc10afbfa06a70d","sha256:66f85ec48af3953bb19d3bfbc9d83ed06e59f3eb2f1158e93b1abe33adc4df3b"],"state_sha256":"1eef26c5967e3a6ff336c0c4722e648759f45329a10b65a1ac35a55fb687c969"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bLHrLO/6oGOjP7giHkkPazTLxXA3JOb1O4IrKLplYCj8OWVkI2XZz3O5U9f/FKrefxExSZQMAkXw6bcZMw2VCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T23:43:27.815108Z","bundle_sha256":"73459677629e1cc818508ff078f507742b445b42f98c8f84595872b977caad8c"}}