{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:R4LG54A2COTU32XT6ZD36B2HOI","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":"b7b100be8f3409238011ba5991aa426c3de0d073332588f3e6bd514486e5ed9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-09T22:37:39Z","title_canon_sha256":"6ff928233e46e6734cde4d21341c6dff2792ae5346f1eb891151f3850ab32d0f"},"schema_version":"1.0","source":{"id":"0901.1332","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.1332","created_at":"2026-07-04T17:27:33Z"},{"alias_kind":"arxiv_version","alias_value":"0901.1332v2","created_at":"2026-07-04T17:27:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.1332","created_at":"2026-07-04T17:27:33Z"},{"alias_kind":"pith_short_12","alias_value":"R4LG54A2COTU","created_at":"2026-07-04T17:27:33Z"},{"alias_kind":"pith_short_16","alias_value":"R4LG54A2COTU32XT","created_at":"2026-07-04T17:27:33Z"},{"alias_kind":"pith_short_8","alias_value":"R4LG54A2","created_at":"2026-07-04T17:27:33Z"}],"graph_snapshots":[{"event_id":"sha256:446576214537dd12df71b8b20d67017e42d7ffa8a76f780c2fd30b65817fcb93","target":"graph","created_at":"2026-07-04T17:27:33Z","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/0901.1332/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the Sudakov form factor for a spontaneously broken gauge theory using a (new) Delta -regulator. To be well-defined, the effective theory requires zero-bin subtractions for the collinear sectors. The zero-bin subtractions depend on the gauge boson mass M and are not scaleless. They have both finite and 1/epsilon contributions, and are needed to give the correct anomalous dimension and low-scale matching contributions. We also demonstrate the necessity of zero-bin subtractions for soft-collinear factorization. We find that after zero-bin subtractions the form factor is the sum of the co","authors_text":"Andreas Fuhrer, Andre H. Hoang, Aneesh V. Manohar, Jui-yu Chiu, Randall Kelley","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-09T22:37:39Z","title":"Soft-Collinear Factorization and Zero-Bin Subtractions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.1332","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":"sha256:1c8ccddfb6c93eb5439b802173895ec607dfd532e54c0bca7ad92c57c8a86477","target":"record","created_at":"2026-07-04T17:27:33Z","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":"b7b100be8f3409238011ba5991aa426c3de0d073332588f3e6bd514486e5ed9f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2009-01-09T22:37:39Z","title_canon_sha256":"6ff928233e46e6734cde4d21341c6dff2792ae5346f1eb891151f3850ab32d0f"},"schema_version":"1.0","source":{"id":"0901.1332","kind":"arxiv","version":2}},"canonical_sha256":"8f166ef01a13a74deaf3f647bf07477225163e85fca8314d5f284c7f9becdf92","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f166ef01a13a74deaf3f647bf07477225163e85fca8314d5f284c7f9becdf92","first_computed_at":"2026-07-04T17:27:33.974392Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:27:33.974392Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YZ90xa7cNvMHTwFfk8wkO3j3lydfuEHTnIoHw3pEk5wPQZNeWfJrYjM20EInPCwxxyAa9+LO7WmD1pHDJ4KqBA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:27:33.974788Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.1332","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c8ccddfb6c93eb5439b802173895ec607dfd532e54c0bca7ad92c57c8a86477","sha256:446576214537dd12df71b8b20d67017e42d7ffa8a76f780c2fd30b65817fcb93"],"state_sha256":"a1f6f1d3825b8ca1470329d7916c778dee28599fcb449e33af6a92affd040d70"}