{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2YFFVVVVJXPJVXFKXMUEUCCHMN","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":"1ff2c4ae2c6fa1d39509a577df3f37bd1e3efda84a4dba5c2ffb2f535cf35e13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-04-21T13:15:27Z","title_canon_sha256":"19cfaab42ed999117a038272ae7225d77426c0e537a6b6e72a1b6b7716ceca9d"},"schema_version":"1.0","source":{"id":"1004.3697","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.3697","created_at":"2026-05-18T02:33:33Z"},{"alias_kind":"arxiv_version","alias_value":"1004.3697v3","created_at":"2026-05-18T02:33:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.3697","created_at":"2026-05-18T02:33:33Z"},{"alias_kind":"pith_short_12","alias_value":"2YFFVVVVJXPJ","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2YFFVVVVJXPJVXFK","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2YFFVVVV","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:ac13269ebb758b09b8eb467bb0e291dba9ff58a1ada3006be8ee29cbfd92a280","target":"graph","created_at":"2026-05-18T02:33:33Z","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"},"paper":{"abstract_excerpt":"We propose a new framework for transverse-momentum dependent parton distribution functions, based on a generalized conception of gauge invariance which includes into the Wilson lines the Pauli term $\\sim F^{\\mu\\nu}[\\gamma_\\mu, \\gamma_\\nu]$. We discuss the relevance of this nonminimal term for unintegrated parton distribution functions, pertaining to spinning particles, and analyze its influence on their renormalization-group properties. It is shown that while the Pauli term preserves the probabilistic interpretation of twist-two distributions---unpolarized and polarized---it gives rise to addi","authors_text":"A.I. Karanikas, I.O. Cherednikov, N.G. Stefanis","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-04-21T13:15:27Z","title":"Wilson lines in transverse-momentum dependent parton distribution functions with spin degrees of freedom"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.3697","kind":"arxiv","version":3},"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:d63f37b6c6ed8ccb1b72ad0bd70b3697eee2fb0b602ebca9c0beb0adf36d2101","target":"record","created_at":"2026-05-18T02:33:33Z","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":"1ff2c4ae2c6fa1d39509a577df3f37bd1e3efda84a4dba5c2ffb2f535cf35e13","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-04-21T13:15:27Z","title_canon_sha256":"19cfaab42ed999117a038272ae7225d77426c0e537a6b6e72a1b6b7716ceca9d"},"schema_version":"1.0","source":{"id":"1004.3697","kind":"arxiv","version":3}},"canonical_sha256":"d60a5ad6b54dde9adcaabb284a0847634c5b1c3cc6700e127c6ed01301612874","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d60a5ad6b54dde9adcaabb284a0847634c5b1c3cc6700e127c6ed01301612874","first_computed_at":"2026-05-18T02:33:33.796599Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:33.796599Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qYp2MZdmlZza6VT7FgYC0mOkNoJZUeL5UDAdZmaAFFNPQd5ww7hCGFeAbHo/Xpe5uV1jegrLcq4jM1AIk5JtBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:33.797099Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.3697","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d63f37b6c6ed8ccb1b72ad0bd70b3697eee2fb0b602ebca9c0beb0adf36d2101","sha256:ac13269ebb758b09b8eb467bb0e291dba9ff58a1ada3006be8ee29cbfd92a280"],"state_sha256":"587dc4d63b946aec713e1b10e72a244e5c6cf8e36be3363331ee5495ccd1f23e"}