{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:T42GP6XDLVPPHRUSS3L7QZLTM3","short_pith_number":"pith:T42GP6XD","schema_version":"1.0","canonical_sha256":"9f3467fae35d5ef3c69296d7f8657366c6f4b220b80e8fcd5f716e8dbcb920f8","source":{"kind":"arxiv","id":"1407.0965","version":1},"attestation_state":"computed","paper":{"title":"TMDs in Laguerre polynomial basis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.A.Vladimirov","submitted_at":"2014-07-03T15:52:47Z","abstract_excerpt":"We suggest modification of the standard approach to TMDs. The modification consists in the consideration of the small $b_T$ operator product expansion in the different operator basis. Instead of power expansion we suggest to use the Laguerre polynomial expansion. Within such a scheme the first term of OPE saturates TMDs in the wider range of $b_T$ in comparison to the power expansion that decreases the significance of non-perturbative factor at small $b_T$. The presented modification does not violate any TMD properties and can be used within any formulation of TMD factorization."},"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":"1407.0965","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2014-07-03T15:52:47Z","cross_cats_sorted":[],"title_canon_sha256":"6db3fe3f758a160ca4f961a920080ed3c2569be33139a75280f712d3d4453a2a","abstract_canon_sha256":"6c98e774fe936738e108b0acdda62f960ee26030d3283758d98274365315491a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:25.042247Z","signature_b64":"Irz/cj0Y8ed/GG8KdD2IY5Q2bQ73Nxty+R5lUH0jhYzAcCPVpNDw+iGLL3KEgmd19QlrVv+zDeHuBaSrYHb7BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9f3467fae35d5ef3c69296d7f8657366c6f4b220b80e8fcd5f716e8dbcb920f8","last_reissued_at":"2026-05-18T02:48:25.040814Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:25.040814Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"TMDs in Laguerre polynomial basis","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.A.Vladimirov","submitted_at":"2014-07-03T15:52:47Z","abstract_excerpt":"We suggest modification of the standard approach to TMDs. The modification consists in the consideration of the small $b_T$ operator product expansion in the different operator basis. Instead of power expansion we suggest to use the Laguerre polynomial expansion. Within such a scheme the first term of OPE saturates TMDs in the wider range of $b_T$ in comparison to the power expansion that decreases the significance of non-perturbative factor at small $b_T$. The presented modification does not violate any TMD properties and can be used within any formulation of TMD factorization."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.0965","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":""},"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":"1407.0965","created_at":"2026-05-18T02:48:25.041811+00:00"},{"alias_kind":"arxiv_version","alias_value":"1407.0965v1","created_at":"2026-05-18T02:48:25.041811+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.0965","created_at":"2026-05-18T02:48:25.041811+00:00"},{"alias_kind":"pith_short_12","alias_value":"T42GP6XDLVPP","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_16","alias_value":"T42GP6XDLVPPHRUS","created_at":"2026-05-18T12:28:49.207871+00:00"},{"alias_kind":"pith_short_8","alias_value":"T42GP6XD","created_at":"2026-05-18T12:28:49.207871+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3","json":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3.json","graph_json":"https://pith.science/api/pith-number/T42GP6XDLVPPHRUSS3L7QZLTM3/graph.json","events_json":"https://pith.science/api/pith-number/T42GP6XDLVPPHRUSS3L7QZLTM3/events.json","paper":"https://pith.science/paper/T42GP6XD"},"agent_actions":{"view_html":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3","download_json":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3.json","view_paper":"https://pith.science/paper/T42GP6XD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1407.0965&json=true","fetch_graph":"https://pith.science/api/pith-number/T42GP6XDLVPPHRUSS3L7QZLTM3/graph.json","fetch_events":"https://pith.science/api/pith-number/T42GP6XDLVPPHRUSS3L7QZLTM3/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3/action/timestamp_anchor","attest_storage":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3/action/storage_attestation","attest_author":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3/action/author_attestation","sign_citation":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3/action/citation_signature","submit_replication":"https://pith.science/pith/T42GP6XDLVPPHRUSS3L7QZLTM3/action/replication_record"}},"created_at":"2026-05-18T02:48:25.041811+00:00","updated_at":"2026-05-18T02:48:25.041811+00:00"}