{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:ODBGP5GAURQPGKXQAQEZUC5T42","short_pith_number":"pith:ODBGP5GA","canonical_record":{"source":{"id":"hep-ph/0607228","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-20T14:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"4c29e3d131e319cc001501b8927d45eabd8bce6a63098ccd038772f7852aec14","abstract_canon_sha256":"9f801bcab9be16f1c943c33c8dc018785647c33646acc25cd56d161e4ee698a3"},"schema_version":"1.0"},"canonical_sha256":"70c267f4c0a460f32af004099a0bb3e6ab73ca89efa924e9cfa1696d317f55f3","source":{"kind":"arxiv","id":"hep-ph/0607228","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0607228","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0607228v1","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0607228","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"pith_short_12","alias_value":"ODBGP5GAURQP","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ODBGP5GAURQPGKXQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ODBGP5GA","created_at":"2026-05-18T12:25:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:ODBGP5GAURQPGKXQAQEZUC5T42","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0607228","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-20T14:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"4c29e3d131e319cc001501b8927d45eabd8bce6a63098ccd038772f7852aec14","abstract_canon_sha256":"9f801bcab9be16f1c943c33c8dc018785647c33646acc25cd56d161e4ee698a3"},"schema_version":"1.0"},"canonical_sha256":"70c267f4c0a460f32af004099a0bb3e6ab73ca89efa924e9cfa1696d317f55f3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:38:27.893547Z","signature_b64":"q7qajA1fjFjIky+aD5QJ1SE2k8Vx03r0A0mi8aEPExgzKvpUMfSinfxIKuleUSIawcG7jBaecbMNdTD0Z/m1Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70c267f4c0a460f32af004099a0bb3e6ab73ca89efa924e9cfa1696d317f55f3","last_reissued_at":"2026-05-18T04:38:27.892887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:38:27.892887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0607228","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":"2026-05-18T04:38:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1Z5txvWm6JcGW/DFVLxsyizCDvA9KpCdg2JF4Nze2UGXe3k0Qwd51fiLzIFLyueWXn1HDNQRLIZQMrsAIolRDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T23:27:17.246290Z"},"content_sha256":"f51d379507d4eefd991b7f795eafc0410337f6aa4efce759132140004ccab7b8","schema_version":"1.0","event_id":"sha256:f51d379507d4eefd991b7f795eafc0410337f6aa4efce759132140004ccab7b8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:ODBGP5GAURQPGKXQAQEZUC5T42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Ben D. Pecjak (Siegen University), Mainz University), Matthias Neubert (Cornell, Thomas Becher (Fermilab)","submitted_at":"2006-07-20T14:20:53Z","abstract_excerpt":"Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x->1. The factorization theorem for the structure function F_2(x,Q^2) for x->1 is rederived in the effective theory, whereby contributions from the hard scale Q^2 and the jet scale Q^2(1-x) are encoded in Wilson coefficients of effective-theory operators. Resummation is achieved by solving the evolution equations for these operators. Simple analytic results for the resummed expressions are obtained directly i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0607228","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":"2026-05-18T04:38:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Zx4e21z5iZwlo7uLyyBSRDgaOHJvLIo1vZMOwNCejnbcbHXrSTf4e/KnKAUQ0ICwlBW2sznN61mqKU1eyzTrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T23:27:17.246651Z"},"content_sha256":"ab519c59b4f6032b4d37da10a7880e8d802339bc322bfaa5bd4c8552026cae2d","schema_version":"1.0","event_id":"sha256:ab519c59b4f6032b4d37da10a7880e8d802339bc322bfaa5bd4c8552026cae2d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ODBGP5GAURQPGKXQAQEZUC5T42/bundle.json","state_url":"https://pith.science/pith/ODBGP5GAURQPGKXQAQEZUC5T42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ODBGP5GAURQPGKXQAQEZUC5T42/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":"2026-06-27T23:27:17Z","links":{"resolver":"https://pith.science/pith/ODBGP5GAURQPGKXQAQEZUC5T42","bundle":"https://pith.science/pith/ODBGP5GAURQPGKXQAQEZUC5T42/bundle.json","state":"https://pith.science/pith/ODBGP5GAURQPGKXQAQEZUC5T42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ODBGP5GAURQPGKXQAQEZUC5T42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:ODBGP5GAURQPGKXQAQEZUC5T42","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":"9f801bcab9be16f1c943c33c8dc018785647c33646acc25cd56d161e4ee698a3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-20T14:20:53Z","title_canon_sha256":"4c29e3d131e319cc001501b8927d45eabd8bce6a63098ccd038772f7852aec14"},"schema_version":"1.0","source":{"id":"hep-ph/0607228","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0607228","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0607228v1","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0607228","created_at":"2026-05-18T04:38:27Z"},{"alias_kind":"pith_short_12","alias_value":"ODBGP5GAURQP","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_16","alias_value":"ODBGP5GAURQPGKXQ","created_at":"2026-05-18T12:25:54Z"},{"alias_kind":"pith_short_8","alias_value":"ODBGP5GA","created_at":"2026-05-18T12:25:54Z"}],"graph_snapshots":[{"event_id":"sha256:ab519c59b4f6032b4d37da10a7880e8d802339bc322bfaa5bd4c8552026cae2d","target":"graph","created_at":"2026-05-18T04:38:27Z","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":"Renormalization-group methods in soft-collinear effective theory are used to perform the resummation of large perturbative logarithms for deep-inelastic scattering in the threshold region x->1. The factorization theorem for the structure function F_2(x,Q^2) for x->1 is rederived in the effective theory, whereby contributions from the hard scale Q^2 and the jet scale Q^2(1-x) are encoded in Wilson coefficients of effective-theory operators. Resummation is achieved by solving the evolution equations for these operators. Simple analytic results for the resummed expressions are obtained directly i","authors_text":"Ben D. Pecjak (Siegen University), Mainz University), Matthias Neubert (Cornell, Thomas Becher (Fermilab)","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2006-07-20T14:20:53Z","title":"Factorization and Momentum-Space Resummation in Deep-Inelastic Scattering"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0607228","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:f51d379507d4eefd991b7f795eafc0410337f6aa4efce759132140004ccab7b8","target":"record","created_at":"2026-05-18T04:38:27Z","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":"9f801bcab9be16f1c943c33c8dc018785647c33646acc25cd56d161e4ee698a3","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2006-07-20T14:20:53Z","title_canon_sha256":"4c29e3d131e319cc001501b8927d45eabd8bce6a63098ccd038772f7852aec14"},"schema_version":"1.0","source":{"id":"hep-ph/0607228","kind":"arxiv","version":1}},"canonical_sha256":"70c267f4c0a460f32af004099a0bb3e6ab73ca89efa924e9cfa1696d317f55f3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"70c267f4c0a460f32af004099a0bb3e6ab73ca89efa924e9cfa1696d317f55f3","first_computed_at":"2026-05-18T04:38:27.892887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:27.892887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q7qajA1fjFjIky+aD5QJ1SE2k8Vx03r0A0mi8aEPExgzKvpUMfSinfxIKuleUSIawcG7jBaecbMNdTD0Z/m1Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:27.893547Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0607228","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f51d379507d4eefd991b7f795eafc0410337f6aa4efce759132140004ccab7b8","sha256:ab519c59b4f6032b4d37da10a7880e8d802339bc322bfaa5bd4c8552026cae2d"],"state_sha256":"934953d955362497275a9d82a277a61d573e24d288f66c54aa4a6663e5253df8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUNOljMsqNT40R34f8c2aDZpgCCEs+N0A9S2119PjsvdqQaKrl+QdbIegRzTWlghnw5emhsqCd+r8+pI3GQUBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T23:27:17.248644Z","bundle_sha256":"cc55c1192ec1c618a96bc5663315c920bd5e50660a286f6ecc2764ffd381fad2"}}