{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:J2ZRTGV5P2TYD4CSNNWG3EYDLP","short_pith_number":"pith:J2ZRTGV5","canonical_record":{"source":{"id":"hep-ph/0109045","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-06T20:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"437fa1bde1ee81322adef1e591685dccd6b9a82201098e6fbc1bdc973c0aac72","abstract_canon_sha256":"d4a4f05d49ad560ebd64dfba3b78439a7f04a13647c4a203b2ac8c65e1f77e1a"},"schema_version":"1.0"},"canonical_sha256":"4eb3199abd7ea781f0526b6c6d93035bd5605942a23e08aa1bcbae66f5658c8f","source":{"kind":"arxiv","id":"hep-ph/0109045","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0109045","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0109045v2","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0109045","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"pith_short_12","alias_value":"J2ZRTGV5P2TY","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"pith_short_16","alias_value":"J2ZRTGV5P2TYD4CS","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"pith_short_8","alias_value":"J2ZRTGV5","created_at":"2026-07-04T15:18:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:J2ZRTGV5P2TYD4CSNNWG3EYDLP","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0109045","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-06T20:37:23Z","cross_cats_sorted":[],"title_canon_sha256":"437fa1bde1ee81322adef1e591685dccd6b9a82201098e6fbc1bdc973c0aac72","abstract_canon_sha256":"d4a4f05d49ad560ebd64dfba3b78439a7f04a13647c4a203b2ac8c65e1f77e1a"},"schema_version":"1.0"},"canonical_sha256":"4eb3199abd7ea781f0526b6c6d93035bd5605942a23e08aa1bcbae66f5658c8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:18:18.538701Z","signature_b64":"hw3aH0OI7Exw2youRMNwI34j/Rgl6r70mityABDQbkfq+qj44RUptqIDON038n6FEYjWeIcHlN7KwtmScJhyDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4eb3199abd7ea781f0526b6c6d93035bd5605942a23e08aa1bcbae66f5658c8f","last_reissued_at":"2026-07-04T15:18:18.538309Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:18:18.538309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0109045","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:18:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"srqgwRiWM9CtKXcy5rMLlxLGfSa0p9sXEt+NsQMfnqAleH67y3rFkEDDJ2W4EKFX4jeLyJnkbjY6jI/MI1GACw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T10:49:54.547428Z"},"content_sha256":"6fb2be3ffd2f2971188aaecc410bf296b307147e1423fd510ace19c0f5d18227","schema_version":"1.0","event_id":"sha256:6fb2be3ffd2f2971188aaecc410bf296b307147e1423fd510ace19c0f5d18227"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:J2ZRTGV5P2TYD4CSNNWG3EYDLP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Soft-Collinear Factorization in Effective Field Theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Christian W. Bauer, Dan Pirjol, Iain W. Stewart","submitted_at":"2001-09-06T20:37:23Z","abstract_excerpt":"The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The leading order Lagrangian is derived using power counting and gauge invariance in the effective theory. Several species of gluons are required, and softer gluons appear as background fields to gluons with harder momenta. Two examples are given: the factorization of soft gluons in B->D pi, and the soft-collinear convolution for the B->Xs gamma spectrum."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0109045","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/0109045/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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T15:18:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pXFBN1w16llmnLDFXafCwhXaJ3Z+qJZoDDHGe1PnbN33tEo3bnxCSruXAYZGX1/Asmv0Bulxxso2n4qo3qQvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-02T10:49:54.548220Z"},"content_sha256":"512ea32d481f435110764c19161e6d5ed7cb729701b3a0220a02caf03c6b0779","schema_version":"1.0","event_id":"sha256:512ea32d481f435110764c19161e6d5ed7cb729701b3a0220a02caf03c6b0779"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP/bundle.json","state_url":"https://pith.science/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP/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":"2026-08-02T10:49:54Z","links":{"resolver":"https://pith.science/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP","bundle":"https://pith.science/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP/bundle.json","state":"https://pith.science/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J2ZRTGV5P2TYD4CSNNWG3EYDLP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:J2ZRTGV5P2TYD4CSNNWG3EYDLP","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":"d4a4f05d49ad560ebd64dfba3b78439a7f04a13647c4a203b2ac8c65e1f77e1a","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-06T20:37:23Z","title_canon_sha256":"437fa1bde1ee81322adef1e591685dccd6b9a82201098e6fbc1bdc973c0aac72"},"schema_version":"1.0","source":{"id":"hep-ph/0109045","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0109045","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0109045v2","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0109045","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"pith_short_12","alias_value":"J2ZRTGV5P2TY","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"pith_short_16","alias_value":"J2ZRTGV5P2TYD4CS","created_at":"2026-07-04T15:18:18Z"},{"alias_kind":"pith_short_8","alias_value":"J2ZRTGV5","created_at":"2026-07-04T15:18:18Z"}],"graph_snapshots":[{"event_id":"sha256:512ea32d481f435110764c19161e6d5ed7cb729701b3a0220a02caf03c6b0779","target":"graph","created_at":"2026-07-04T15:18:18Z","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/0109045/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The factorization of soft and ultrasoft gluons from collinear particles is shown at the level of operators in an effective field theory. Exclusive hadronic factorization and inclusive partonic factorization follow as special cases. The leading order Lagrangian is derived using power counting and gauge invariance in the effective theory. Several species of gluons are required, and softer gluons appear as background fields to gluons with harder momenta. Two examples are given: the factorization of soft gluons in B->D pi, and the soft-collinear convolution for the B->Xs gamma spectrum.","authors_text":"Christian W. Bauer, Dan Pirjol, Iain W. Stewart","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2001-09-06T20:37:23Z","title":"Soft-Collinear Factorization in Effective Field Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0109045","kind":"arxiv","version":2},"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":"sha256:6fb2be3ffd2f2971188aaecc410bf296b307147e1423fd510ace19c0f5d18227","target":"record","created_at":"2026-07-04T15:18:18Z","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":"d4a4f05d49ad560ebd64dfba3b78439a7f04a13647c4a203b2ac8c65e1f77e1a","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2001-09-06T20:37:23Z","title_canon_sha256":"437fa1bde1ee81322adef1e591685dccd6b9a82201098e6fbc1bdc973c0aac72"},"schema_version":"1.0","source":{"id":"hep-ph/0109045","kind":"arxiv","version":2}},"canonical_sha256":"4eb3199abd7ea781f0526b6c6d93035bd5605942a23e08aa1bcbae66f5658c8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4eb3199abd7ea781f0526b6c6d93035bd5605942a23e08aa1bcbae66f5658c8f","first_computed_at":"2026-07-04T15:18:18.538309Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:18:18.538309Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hw3aH0OI7Exw2youRMNwI34j/Rgl6r70mityABDQbkfq+qj44RUptqIDON038n6FEYjWeIcHlN7KwtmScJhyDA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:18:18.538701Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0109045","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fb2be3ffd2f2971188aaecc410bf296b307147e1423fd510ace19c0f5d18227","sha256:512ea32d481f435110764c19161e6d5ed7cb729701b3a0220a02caf03c6b0779"],"state_sha256":"5f6595e15e1c1f756f2fee12147138d1e333ebd1c84486932c4bae0d09f621dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"intV1/SUxyYZoQa5sQHH+IZqLcy1jmQbpAXi7h9beK2lh9EWOAJpolrrGFjoAg5+qGGMpPx8aD5A3TAWQeToDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-02T10:49:54.553761Z","bundle_sha256":"07015d6f4eb4d6f63a9c2df04cfc6da60f7347d8e4f243042eb5157dc73d3a54"}}