{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ZBPFOAAIEQCVQBBKKOWNUM6I2C","short_pith_number":"pith:ZBPFOAAI","canonical_record":{"source":{"id":"1112.3907","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-16T18:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"24a551d1f21fa039fbce19118cae80175a9df40466d9533f428b8e3712f21126","abstract_canon_sha256":"b4a030634b9dedf60fac9846665d75e3d55fd52d5fb08dfd925719178fa0b174"},"schema_version":"1.0"},"canonical_sha256":"c85e570008240558042a53acda33c8d090e38dfa048a72b590db5af7622c0c75","source":{"kind":"arxiv","id":"1112.3907","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3907","created_at":"2026-05-18T01:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3907v1","created_at":"2026-05-18T01:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3907","created_at":"2026-05-18T01:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZBPFOAAIEQCV","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZBPFOAAIEQCVQBBK","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZBPFOAAI","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ZBPFOAAIEQCVQBBKKOWNUM6I2C","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3907","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-16T18:11:07Z","cross_cats_sorted":[],"title_canon_sha256":"24a551d1f21fa039fbce19118cae80175a9df40466d9533f428b8e3712f21126","abstract_canon_sha256":"b4a030634b9dedf60fac9846665d75e3d55fd52d5fb08dfd925719178fa0b174"},"schema_version":"1.0"},"canonical_sha256":"c85e570008240558042a53acda33c8d090e38dfa048a72b590db5af7622c0c75","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:06.581755Z","signature_b64":"TlAvGXxWSE4uZvA92tgCksAYNJW2DyDFssWHa4tJTyBnbZTR8mSiu0N02O78xcukvY5BrUVgSZY+MXhoDgHLAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c85e570008240558042a53acda33c8d090e38dfa048a72b590db5af7622c0c75","last_reissued_at":"2026-05-18T01:59:06.581016Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:06.581016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3907","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":"2026-05-18T01:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/5d7sOHEeizIXwl4raxCltqTJ6PvwthvLMooeqGCXhBhZr/Wgrqlb2iPGLJDHVdZkanP4Bpwm/7J/3U4zjVBBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T02:26:59.043578Z"},"content_sha256":"64e9eba47832e470f6ba7fba7a5f55df7bc6aa769a2f28c7e25f829431328a84","schema_version":"1.0","event_id":"sha256:64e9eba47832e470f6ba7fba7a5f55df7bc6aa769a2f28c7e25f829431328a84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ZBPFOAAIEQCVQBBKKOWNUM6I2C","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic Regularization in Soft-Collinear Effective Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Guido Bell, Thomas Becher","submitted_at":"2011-12-16T18:11:07Z","abstract_excerpt":"In high-energy processes which are sensitive to small transverse momenta, individual contributions from collinear and soft momentum regions are not separately well-defined in dimensional regularization. A simple possibility to solve this problem is to introduce additional analytic regulators. We point out that in massless theories the unregularized singularities only appear in real-emission diagrams and that the additional regulators can be introduced in such a way that gauge invariance and the factorized eikonal structure of soft and collinear emissions is maintained. This simplifies factoriz"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3907","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":"2026-05-18T01:59:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k5Xqz5osXPzHUsKFerersS8KNERBVgSi8TTikcZogUzlY1Gtv7/+bUT4ZnfEpGk1N3JP8lX4fwSXKK/3rAIiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T02:26:59.044180Z"},"content_sha256":"2f309924eefc0c606d61863ae37042dbcea42ea362fe906a4e1520ead9445f4e","schema_version":"1.0","event_id":"sha256:2f309924eefc0c606d61863ae37042dbcea42ea362fe906a4e1520ead9445f4e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C/bundle.json","state_url":"https://pith.science/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C/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":"2026-05-25T02:26:59Z","links":{"resolver":"https://pith.science/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C","bundle":"https://pith.science/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C/bundle.json","state":"https://pith.science/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZBPFOAAIEQCVQBBKKOWNUM6I2C/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZBPFOAAIEQCVQBBKKOWNUM6I2C","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":"b4a030634b9dedf60fac9846665d75e3d55fd52d5fb08dfd925719178fa0b174","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-16T18:11:07Z","title_canon_sha256":"24a551d1f21fa039fbce19118cae80175a9df40466d9533f428b8e3712f21126"},"schema_version":"1.0","source":{"id":"1112.3907","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3907","created_at":"2026-05-18T01:59:06Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3907v1","created_at":"2026-05-18T01:59:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3907","created_at":"2026-05-18T01:59:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZBPFOAAIEQCV","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZBPFOAAIEQCVQBBK","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZBPFOAAI","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:2f309924eefc0c606d61863ae37042dbcea42ea362fe906a4e1520ead9445f4e","target":"graph","created_at":"2026-05-18T01:59:06Z","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":"In high-energy processes which are sensitive to small transverse momenta, individual contributions from collinear and soft momentum regions are not separately well-defined in dimensional regularization. A simple possibility to solve this problem is to introduce additional analytic regulators. We point out that in massless theories the unregularized singularities only appear in real-emission diagrams and that the additional regulators can be introduced in such a way that gauge invariance and the factorized eikonal structure of soft and collinear emissions is maintained. This simplifies factoriz","authors_text":"Guido Bell, Thomas Becher","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-16T18:11:07Z","title":"Analytic Regularization in Soft-Collinear Effective Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3907","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":"sha256:64e9eba47832e470f6ba7fba7a5f55df7bc6aa769a2f28c7e25f829431328a84","target":"record","created_at":"2026-05-18T01:59:06Z","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":"b4a030634b9dedf60fac9846665d75e3d55fd52d5fb08dfd925719178fa0b174","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-12-16T18:11:07Z","title_canon_sha256":"24a551d1f21fa039fbce19118cae80175a9df40466d9533f428b8e3712f21126"},"schema_version":"1.0","source":{"id":"1112.3907","kind":"arxiv","version":1}},"canonical_sha256":"c85e570008240558042a53acda33c8d090e38dfa048a72b590db5af7622c0c75","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c85e570008240558042a53acda33c8d090e38dfa048a72b590db5af7622c0c75","first_computed_at":"2026-05-18T01:59:06.581016Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:06.581016Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TlAvGXxWSE4uZvA92tgCksAYNJW2DyDFssWHa4tJTyBnbZTR8mSiu0N02O78xcukvY5BrUVgSZY+MXhoDgHLAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:06.581755Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3907","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64e9eba47832e470f6ba7fba7a5f55df7bc6aa769a2f28c7e25f829431328a84","sha256:2f309924eefc0c606d61863ae37042dbcea42ea362fe906a4e1520ead9445f4e"],"state_sha256":"d32af147d2d02bf38c73a3ecab599dd9a5ef518f972eef4d54e326e41bc75830"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4VzWGe8SRrUyKKCwh6wPSg5YPFMUlf1nRbIc8YnVi+WXTNTEXMwzO2DK7Ml96J7neD5OKF8AWgsg1kUZQkwZAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T02:26:59.047791Z","bundle_sha256":"9ccc4b37dc80e78345101d5ad78f608c9bd973bdf7075d1813f8e1950980526c"}}