{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2022:MB6HLSXQQJ6J3IEJ6NL7CZMAMW","short_pith_number":"pith:MB6HLSXQ","schema_version":"1.0","canonical_sha256":"607c75caf0827c9da089f357f1658065982e0394339b13f3014b4b2e29211b66","source":{"kind":"arxiv","id":"2209.03538","version":1},"attestation_state":"computed","paper":{"title":"T-odd Leading-Twist Quark TMDs at Small $x$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"M. Gabriel Santiago, Yuri V. Kovchegov","submitted_at":"2022-09-08T02:36:54Z","abstract_excerpt":"We study the small-$x$ asymptotics of the flavor non-singlet T-odd leading-twist quark transverse momentum dependent parton distributions (TMDs), the Sivers and Boer-Mulders functions. While the leading eikonal small-$x$ asymptotics of the quark Sivers function is given by the spin-dependent odderon, we are interested in revisiting the sub-eikonal correction considered by us earlier. We first simplify the expressions for both TMDs at small Bjorken $x$ and then construct small-$x$ evolution equations for the resulting operators in the large-$N_c$ limit, with $N_c$ the number of quark colors. Fo"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2209.03538","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-09-08T02:36:54Z","cross_cats_sorted":["hep-ex","nucl-ex","nucl-th"],"title_canon_sha256":"a2abd683322e20fe025b140c67b0e585101d6aefaea772f24faae682872e17aa","abstract_canon_sha256":"0cc395cc8b65bea36ea0c794eb2afa6b249e16ccf2a803feecf42126a93ec340"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:20:47.358491Z","signature_b64":"Qvt8zTTiS1iD1ZhTa0xiy5imi83pT9lTFai0UgUsfTnyEa+9dP4yMKH158nvvPSFZcLStqANBbzvOUGTZ6HBAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"607c75caf0827c9da089f357f1658065982e0394339b13f3014b4b2e29211b66","last_reissued_at":"2026-07-05T05:20:47.358000Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:20:47.358000Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"T-odd Leading-Twist Quark TMDs at Small $x$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ex","nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"M. Gabriel Santiago, Yuri V. Kovchegov","submitted_at":"2022-09-08T02:36:54Z","abstract_excerpt":"We study the small-$x$ asymptotics of the flavor non-singlet T-odd leading-twist quark transverse momentum dependent parton distributions (TMDs), the Sivers and Boer-Mulders functions. While the leading eikonal small-$x$ asymptotics of the quark Sivers function is given by the spin-dependent odderon, we are interested in revisiting the sub-eikonal correction considered by us earlier. We first simplify the expressions for both TMDs at small Bjorken $x$ and then construct small-$x$ evolution equations for the resulting operators in the large-$N_c$ limit, with $N_c$ the number of quark colors. Fo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.03538","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/2209.03538/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"},"aliases":[{"alias_kind":"arxiv","alias_value":"2209.03538","created_at":"2026-07-05T05:20:47.358056+00:00"},{"alias_kind":"arxiv_version","alias_value":"2209.03538v1","created_at":"2026-07-05T05:20:47.358056+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.03538","created_at":"2026-07-05T05:20:47.358056+00:00"},{"alias_kind":"pith_short_12","alias_value":"MB6HLSXQQJ6J","created_at":"2026-07-05T05:20:47.358056+00:00"},{"alias_kind":"pith_short_16","alias_value":"MB6HLSXQQJ6J3IEJ","created_at":"2026-07-05T05:20:47.358056+00:00"},{"alias_kind":"pith_short_8","alias_value":"MB6HLSXQ","created_at":"2026-07-05T05:20:47.358056+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":3,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2607.00439","citing_title":"Sub-eikonal stress and model dependence of the small-$x$ gluon D-term","ref_index":91,"is_internal_anchor":false},{"citing_arxiv_id":"2506.17454","citing_title":"Nuclear Cold QCD: Review and Future Strategy","ref_index":275,"is_internal_anchor":false},{"citing_arxiv_id":"2604.24629","citing_title":"On the Two $R$-Factors in the Small-$x$ Shockwave Formalism","ref_index":81,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW","json":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW.json","graph_json":"https://pith.science/api/pith-number/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/graph.json","events_json":"https://pith.science/api/pith-number/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/events.json","paper":"https://pith.science/paper/MB6HLSXQ"},"agent_actions":{"view_html":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW","download_json":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW.json","view_paper":"https://pith.science/paper/MB6HLSXQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2209.03538&json=true","fetch_graph":"https://pith.science/api/pith-number/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/graph.json","fetch_events":"https://pith.science/api/pith-number/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/action/storage_attestation","attest_author":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/action/author_attestation","sign_citation":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/action/citation_signature","submit_replication":"https://pith.science/pith/MB6HLSXQQJ6J3IEJ6NL7CZMAMW/action/replication_record"}},"created_at":"2026-07-05T05:20:47.358056+00:00","updated_at":"2026-07-05T05:20:47.358056+00:00"}