{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1999:AK27CEJZADWQMRRNH3BZEGMHUH","short_pith_number":"pith:AK27CEJZ","canonical_record":{"source":{"id":"hep-ph/9910338","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-14T14:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"de54dbc3b776d36ed0d420412f3e0d8219f3ff9063e8e19d7daa2c0bcb9a6d62","abstract_canon_sha256":"72c17b5676f67d6336bb1ae1638e8cffc40c736a3d6faa956100fb8b355d3bca"},"schema_version":"1.0"},"canonical_sha256":"02b5f1113900ed06462d3ec3921987a1f148a683832be65da8783523164aeb2b","source":{"kind":"arxiv","id":"hep-ph/9910338","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9910338","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910338v1","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910338","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"pith_short_12","alias_value":"AK27CEJZADWQ","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"pith_short_16","alias_value":"AK27CEJZADWQMRRN","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"pith_short_8","alias_value":"AK27CEJZ","created_at":"2026-07-04T16:14:31Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1999:AK27CEJZADWQMRRNH3BZEGMHUH","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9910338","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-14T14:41:57Z","cross_cats_sorted":[],"title_canon_sha256":"de54dbc3b776d36ed0d420412f3e0d8219f3ff9063e8e19d7daa2c0bcb9a6d62","abstract_canon_sha256":"72c17b5676f67d6336bb1ae1638e8cffc40c736a3d6faa956100fb8b355d3bca"},"schema_version":"1.0"},"canonical_sha256":"02b5f1113900ed06462d3ec3921987a1f148a683832be65da8783523164aeb2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:14:31.316540Z","signature_b64":"bhWRA469SOr3VHU7qAVZ5syg4t3Th/6S+KRf3+89FCoLX8u5R4yebWol19BSiKlA5lcpZqoRnvs0sKdCPFW5Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"02b5f1113900ed06462d3ec3921987a1f148a683832be65da8783523164aeb2b","last_reissued_at":"2026-07-04T16:14:31.316137Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:14:31.316137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9910338","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":"2026-07-04T16:14:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Tap9HSkV0qFfaafk3jxK8x3WMdWXqhFkRPiW8n93gJPEUrqC9/By3S/GxQ36+BhzbwNdSQssHQDcsQSFufK1CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:18:26.678121Z"},"content_sha256":"1bec11fce673a42631f87778e77d344aead46371b461cdf22b143e0653e7bc8c","schema_version":"1.0","event_id":"sha256:1bec11fce673a42631f87778e77d344aead46371b461cdf22b143e0653e7bc8c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1999:AK27CEJZADWQMRRNH3BZEGMHUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resummation of double logarithms in electroweak high energy processes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.D. Martin, L.N. Lipatov, M. Melles, V.S. Fadin","submitted_at":"1999-10-14T14:41:57Z","abstract_excerpt":"At future linear $e^+e^-$ collider experiments in the TeV range, Sudakov double logarithms originating from massive boson exchange can lead to significant corrections to the cross sections of the observable processes. These effects are important for the high precision objectives of the Next Linear Collider. We use the infrared evolution equation, based on a gauge invariant dispersive method, to obtain double logarithmic asymptotics of scattering amplitudes and discuss how it can be applied, in the case of broken gauge symmetry, to the Standard Model of electroweak processes. We discuss the dou"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910338","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9910338/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":"2026-07-04T16:14:31Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cMhzY10fBknFPbcE7DkhcIxt9QBXiDwQhkzN/HkTfkxQzgsz79tpr0rs6DBGbt8qQNTEUul1dec8IlGmBATvAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T23:18:26.679031Z"},"content_sha256":"86dfc1ddc2cadb54cb6ad43e06b2e0ec3e1b70bf26bd3ac41f90b03eb119cff3","schema_version":"1.0","event_id":"sha256:86dfc1ddc2cadb54cb6ad43e06b2e0ec3e1b70bf26bd3ac41f90b03eb119cff3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AK27CEJZADWQMRRNH3BZEGMHUH/bundle.json","state_url":"https://pith.science/pith/AK27CEJZADWQMRRNH3BZEGMHUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AK27CEJZADWQMRRNH3BZEGMHUH/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":"2026-08-09T23:18:26Z","links":{"resolver":"https://pith.science/pith/AK27CEJZADWQMRRNH3BZEGMHUH","bundle":"https://pith.science/pith/AK27CEJZADWQMRRNH3BZEGMHUH/bundle.json","state":"https://pith.science/pith/AK27CEJZADWQMRRNH3BZEGMHUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AK27CEJZADWQMRRNH3BZEGMHUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1999:AK27CEJZADWQMRRNH3BZEGMHUH","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":"72c17b5676f67d6336bb1ae1638e8cffc40c736a3d6faa956100fb8b355d3bca","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-14T14:41:57Z","title_canon_sha256":"de54dbc3b776d36ed0d420412f3e0d8219f3ff9063e8e19d7daa2c0bcb9a6d62"},"schema_version":"1.0","source":{"id":"hep-ph/9910338","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9910338","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9910338v1","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9910338","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"pith_short_12","alias_value":"AK27CEJZADWQ","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"pith_short_16","alias_value":"AK27CEJZADWQMRRN","created_at":"2026-07-04T16:14:31Z"},{"alias_kind":"pith_short_8","alias_value":"AK27CEJZ","created_at":"2026-07-04T16:14:31Z"}],"graph_snapshots":[{"event_id":"sha256:86dfc1ddc2cadb54cb6ad43e06b2e0ec3e1b70bf26bd3ac41f90b03eb119cff3","target":"graph","created_at":"2026-07-04T16:14:31Z","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/9910338/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"At future linear $e^+e^-$ collider experiments in the TeV range, Sudakov double logarithms originating from massive boson exchange can lead to significant corrections to the cross sections of the observable processes. These effects are important for the high precision objectives of the Next Linear Collider. We use the infrared evolution equation, based on a gauge invariant dispersive method, to obtain double logarithmic asymptotics of scattering amplitudes and discuss how it can be applied, in the case of broken gauge symmetry, to the Standard Model of electroweak processes. We discuss the dou","authors_text":"A.D. Martin, L.N. Lipatov, M. Melles, V.S. Fadin","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1999-10-14T14:41:57Z","title":"Resummation of double logarithms in electroweak high energy processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9910338","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":"sha256:1bec11fce673a42631f87778e77d344aead46371b461cdf22b143e0653e7bc8c","target":"record","created_at":"2026-07-04T16:14:31Z","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":"72c17b5676f67d6336bb1ae1638e8cffc40c736a3d6faa956100fb8b355d3bca","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1999-10-14T14:41:57Z","title_canon_sha256":"de54dbc3b776d36ed0d420412f3e0d8219f3ff9063e8e19d7daa2c0bcb9a6d62"},"schema_version":"1.0","source":{"id":"hep-ph/9910338","kind":"arxiv","version":1}},"canonical_sha256":"02b5f1113900ed06462d3ec3921987a1f148a683832be65da8783523164aeb2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"02b5f1113900ed06462d3ec3921987a1f148a683832be65da8783523164aeb2b","first_computed_at":"2026-07-04T16:14:31.316137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:14:31.316137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bhWRA469SOr3VHU7qAVZ5syg4t3Th/6S+KRf3+89FCoLX8u5R4yebWol19BSiKlA5lcpZqoRnvs0sKdCPFW5Cg==","signature_status":"signed_v1","signed_at":"2026-07-04T16:14:31.316540Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9910338","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bec11fce673a42631f87778e77d344aead46371b461cdf22b143e0653e7bc8c","sha256:86dfc1ddc2cadb54cb6ad43e06b2e0ec3e1b70bf26bd3ac41f90b03eb119cff3"],"state_sha256":"0e3cc303061794b01837001449115bad46c1adc1539d9f66b3bbcafc9d7d3c87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQEH+nlaJnot80x+YJ92awrDwxMqjAvQYvjp7a8IlXrNa1Iip9/OoMeok/6CljkdS6sPm1IJk1aizMrIBFTPCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T23:18:26.686212Z","bundle_sha256":"fc712290c8832bc746b2d3badeb80ecca15ba2b82200bdbd68cca8d9a4b4cf01"}}