{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PSEOJ7HH24VMRV2XMRK3ZNOJCB","short_pith_number":"pith:PSEOJ7HH","schema_version":"1.0","canonical_sha256":"7c88e4fce7d72ac8d7576455bcb5c910507b539e07dae72b28a1240f4053c341","source":{"kind":"arxiv","id":"1604.07869","version":3},"attestation_state":"computed","paper":{"title":"Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alexey Vladimirov, Ignazio Scimemi, Miguel G. Echevarria","submitted_at":"2016-04-26T21:52:27Z","abstract_excerpt":"The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering, etc. We provide a comprehensive study of unpolarized TMDs at next-to-next-to-leading order, which includes an explicit calculation of these TMDs and an extraction of their matching coefficients onto their integrated analogues, for all flavor combinations. The obtained matching coefficients are important for any kind of phenomenology involving TMDs. In the pre"},"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":"1604.07869","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-04-26T21:52:27Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"39726e184ad45f6794a68784e57e2d07bc21567abaa502e03849ae63d0aedc30","abstract_canon_sha256":"01267b784474831b6c66cb929cff8c8a4b1ba13e989d044cb136ae90dd87abba"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:14:23.115750Z","signature_b64":"k5gYg+tdmZJMMnL99QYzISzLGX97IvtcLIWKy7fiwS95UQAgTRUMuZ3mNG4AM/Oh+1Cs5rvFafwb4f8/gasYAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c88e4fce7d72ac8d7576455bcb5c910507b539e07dae72b28a1240f4053c341","last_reissued_at":"2026-05-18T00:14:23.115052Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:14:23.115052Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unpolarized Transverse Momentum Dependent Parton Distribution and Fragmentation Functions at next-to-next-to-leading order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Alexey Vladimirov, Ignazio Scimemi, Miguel G. Echevarria","submitted_at":"2016-04-26T21:52:27Z","abstract_excerpt":"The transverse momentum dependent parton distribution/fragmentation functions (TMDs) are essential in the factorization of a number of processes like Drell-Yan scattering, vector boson production, semi-inclusive deep inelastic scattering, etc. We provide a comprehensive study of unpolarized TMDs at next-to-next-to-leading order, which includes an explicit calculation of these TMDs and an extraction of their matching coefficients onto their integrated analogues, for all flavor combinations. The obtained matching coefficients are important for any kind of phenomenology involving TMDs. In the pre"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.07869","kind":"arxiv","version":3},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1604.07869","created_at":"2026-05-18T00:14:23.115133+00:00"},{"alias_kind":"arxiv_version","alias_value":"1604.07869v3","created_at":"2026-05-18T00:14:23.115133+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.07869","created_at":"2026-05-18T00:14:23.115133+00:00"},{"alias_kind":"pith_short_12","alias_value":"PSEOJ7HH24VM","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_16","alias_value":"PSEOJ7HH24VMRV2X","created_at":"2026-05-18T12:30:39.010887+00:00"},{"alias_kind":"pith_short_8","alias_value":"PSEOJ7HH","created_at":"2026-05-18T12:30:39.010887+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":5,"internal_anchor_count":2,"sample":[{"citing_arxiv_id":"2607.02438","citing_title":"Event-axis TMD measurements in $e^+e^-$ and SIDIS","ref_index":29,"is_internal_anchor":true},{"citing_arxiv_id":"2606.31286","citing_title":"Boosted Higgs-strahlung off a $W$ boson at next-to-next-to-next-to-leading order in QCD","ref_index":56,"is_internal_anchor":true},{"citing_arxiv_id":"2605.06412","citing_title":"GTMDs, orbital angular momentum, and pretzelosity","ref_index":18,"is_internal_anchor":false},{"citing_arxiv_id":"2604.19997","citing_title":"Introduction to transverse momentum imaging","ref_index":57,"is_internal_anchor":false},{"citing_arxiv_id":"2604.14133","citing_title":"AI-assisted modeling and Bayesian inference of unpolarized quark transverse momentum distributions from Drell-Yan data","ref_index":32,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB","json":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB.json","graph_json":"https://pith.science/api/pith-number/PSEOJ7HH24VMRV2XMRK3ZNOJCB/graph.json","events_json":"https://pith.science/api/pith-number/PSEOJ7HH24VMRV2XMRK3ZNOJCB/events.json","paper":"https://pith.science/paper/PSEOJ7HH"},"agent_actions":{"view_html":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB","download_json":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB.json","view_paper":"https://pith.science/paper/PSEOJ7HH","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1604.07869&json=true","fetch_graph":"https://pith.science/api/pith-number/PSEOJ7HH24VMRV2XMRK3ZNOJCB/graph.json","fetch_events":"https://pith.science/api/pith-number/PSEOJ7HH24VMRV2XMRK3ZNOJCB/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB/action/storage_attestation","attest_author":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB/action/author_attestation","sign_citation":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB/action/citation_signature","submit_replication":"https://pith.science/pith/PSEOJ7HH24VMRV2XMRK3ZNOJCB/action/replication_record"}},"created_at":"2026-05-18T00:14:23.115133+00:00","updated_at":"2026-05-18T00:14:23.115133+00:00"}