{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:WXX2GQTBCUXVR44TY5JIPVHO3Q","short_pith_number":"pith:WXX2GQTB","canonical_record":{"source":{"id":"hep-ph/0410087","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-06T07:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"a9261a5bbfb3dfcb35092637c89c6dc5d977c74a5e88696df06307d27ed56743","abstract_canon_sha256":"42a5827e7b19dc3a68a6133c58676340ceb0b30c506746bd7021036783e37110"},"schema_version":"1.0"},"canonical_sha256":"b5efa34261152f58f393c75287d4eedc1320cf3ed131dc352876bd058f3c41ca","source":{"kind":"arxiv","id":"hep-ph/0410087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0410087","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0410087v1","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0410087","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"WXX2GQTBCUXV","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"WXX2GQTBCUXVR44T","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"WXX2GQTB","created_at":"2026-07-04T14:29:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:WXX2GQTBCUXVR44TY5JIPVHO3Q","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0410087","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-06T07:59:58Z","cross_cats_sorted":[],"title_canon_sha256":"a9261a5bbfb3dfcb35092637c89c6dc5d977c74a5e88696df06307d27ed56743","abstract_canon_sha256":"42a5827e7b19dc3a68a6133c58676340ceb0b30c506746bd7021036783e37110"},"schema_version":"1.0"},"canonical_sha256":"b5efa34261152f58f393c75287d4eedc1320cf3ed131dc352876bd058f3c41ca","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:29:07.765344Z","signature_b64":"iEGZrPP/wvasRCLPuuR+LoQv8cGGyWzkuwVzfUxOOOfafl4XxPRbMSjOodYRqG+5acNXrhN11FbOn9w8PqC6Dg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b5efa34261152f58f393c75287d4eedc1320cf3ed131dc352876bd058f3c41ca","last_reissued_at":"2026-07-04T14:29:07.764933Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:29:07.764933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0410087","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":"2026-07-04T14:29:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l7PlXsk7FASUKxDU6NVutYT4ccvp4nwr5Ns/rHqSdCEAI2EsCW6Pks/d4FXWsrVdyyzFrAqrB6tMh54DPq8aAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:01:53.256279Z"},"content_sha256":"7e2228ad44cc5c18ada07ad928276b09ba7d9fab3fd9efac08b8338f704c058a","schema_version":"1.0","event_id":"sha256:7e2228ad44cc5c18ada07ad928276b09ba7d9fab3fd9efac08b8338f704c058a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:WXX2GQTBCUXVR44TY5JIPVHO3Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gauge-invariance in hadronic scattering processes","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"C. J. Bomhof","submitted_at":"2004-10-06T07:59:58Z","abstract_excerpt":"High energy hadronic scattering processes can be described in terms of partonic scattering processes and parton distribution and fragmentation functions. These are bilocal matrix elements of quark operators. Colour gauge-invariance requires inclusion of a gauge link, which is characterized by its path. For transverse momentum dependent distribution and fragmentation functions, appearing in single spin asymmetries, different paths appear depending on the process. The difference is related to a time-reversal odd gluonic pole matrix element. We discuss briefly the path structure of the gauge link"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0410087","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/0410087/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":"2026-07-04T14:29:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I88keu7f13tPl0RtZa5Wiisz0kWY+3Jyz3/YkHSJl5r+kG7SmTKXuWlmiwY7KRYjUuRS0DBJ1eY1bB9m8A6yBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T15:01:53.256802Z"},"content_sha256":"551d841fededf2142a555cb2940d02483048fb8f557b7622d04a2a21d2d65b53","schema_version":"1.0","event_id":"sha256:551d841fededf2142a555cb2940d02483048fb8f557b7622d04a2a21d2d65b53"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q/bundle.json","state_url":"https://pith.science/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q/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":"2026-08-06T15:01:53Z","links":{"resolver":"https://pith.science/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q","bundle":"https://pith.science/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q/bundle.json","state":"https://pith.science/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WXX2GQTBCUXVR44TY5JIPVHO3Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:WXX2GQTBCUXVR44TY5JIPVHO3Q","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":"42a5827e7b19dc3a68a6133c58676340ceb0b30c506746bd7021036783e37110","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-06T07:59:58Z","title_canon_sha256":"a9261a5bbfb3dfcb35092637c89c6dc5d977c74a5e88696df06307d27ed56743"},"schema_version":"1.0","source":{"id":"hep-ph/0410087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0410087","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0410087v1","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0410087","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"pith_short_12","alias_value":"WXX2GQTBCUXV","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"WXX2GQTBCUXVR44T","created_at":"2026-07-04T14:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"WXX2GQTB","created_at":"2026-07-04T14:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:551d841fededf2142a555cb2940d02483048fb8f557b7622d04a2a21d2d65b53","target":"graph","created_at":"2026-07-04T14:29:07Z","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/0410087/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"High energy hadronic scattering processes can be described in terms of partonic scattering processes and parton distribution and fragmentation functions. These are bilocal matrix elements of quark operators. Colour gauge-invariance requires inclusion of a gauge link, which is characterized by its path. For transverse momentum dependent distribution and fragmentation functions, appearing in single spin asymmetries, different paths appear depending on the process. The difference is related to a time-reversal odd gluonic pole matrix element. We discuss briefly the path structure of the gauge link","authors_text":"C. J. Bomhof","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-10-06T07:59:58Z","title":"Gauge-invariance in hadronic scattering processes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0410087","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":"sha256:7e2228ad44cc5c18ada07ad928276b09ba7d9fab3fd9efac08b8338f704c058a","target":"record","created_at":"2026-07-04T14:29:07Z","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":"42a5827e7b19dc3a68a6133c58676340ceb0b30c506746bd7021036783e37110","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-10-06T07:59:58Z","title_canon_sha256":"a9261a5bbfb3dfcb35092637c89c6dc5d977c74a5e88696df06307d27ed56743"},"schema_version":"1.0","source":{"id":"hep-ph/0410087","kind":"arxiv","version":1}},"canonical_sha256":"b5efa34261152f58f393c75287d4eedc1320cf3ed131dc352876bd058f3c41ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b5efa34261152f58f393c75287d4eedc1320cf3ed131dc352876bd058f3c41ca","first_computed_at":"2026-07-04T14:29:07.764933Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:29:07.764933Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iEGZrPP/wvasRCLPuuR+LoQv8cGGyWzkuwVzfUxOOOfafl4XxPRbMSjOodYRqG+5acNXrhN11FbOn9w8PqC6Dg==","signature_status":"signed_v1","signed_at":"2026-07-04T14:29:07.765344Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0410087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e2228ad44cc5c18ada07ad928276b09ba7d9fab3fd9efac08b8338f704c058a","sha256:551d841fededf2142a555cb2940d02483048fb8f557b7622d04a2a21d2d65b53"],"state_sha256":"d2225b4c9797b412e0acf6757d866e04fa5855944a08350523d13e51554af16b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7Vs6F9YLWRFTTVxTefa+/WI1ZRo6OyG/88Yc7L/fz0HeojdiUGbrkPb9gJFk4ivvJTcpZqvkgau/US/VIU0nDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T15:01:53.265053Z","bundle_sha256":"e3941e7c23e5d5b7325c64abbf26b5f45c1e6cab4d05e343a9b7899d80676b3c"}}