{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:ZZIF6BGPSURPYER4WHE4VS7ZWU","short_pith_number":"pith:ZZIF6BGP","schema_version":"1.0","canonical_sha256":"ce505f04cf9522fc123cb1c9cacbf9b5343b12a8efe6760fff5428fe30467c20","source":{"kind":"arxiv","id":"1501.03316","version":2},"attestation_state":"computed","paper":{"title":"Exponentiation for products of Wilson lines within the generating function approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Alexey A.Vladimirov","submitted_at":"2015-01-14T11:13:29Z","abstract_excerpt":"We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known operators, which can be seen as a generating function for web diagrams. The expression is naturally split onto two parts: the exponentiation kernel, which accumulates all non-trivial information about web diagrams, and the defect of exponentiation, which reconstructs the matrix exponent and is a function of the exponentiation kernel. The detailed comparison "},"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":"1501.03316","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2015-01-14T11:13:29Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"e26fd9fc1a6a4ababf1f2fdbb08ffc184e5ca705e6dae6c526c487316ad2b53a","abstract_canon_sha256":"963d8a90bcf62dd2399df72a06d34c85e9176c5e7ea6ff4198d3664068701f1b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:06.431665Z","signature_b64":"gRPRqEpurE8jNPb6/mB1DjT//4J5/pXTR50MEU0/wI+g+83QWyIGJL8wmQYSyilPpdYNHSCIF+g8tekhSzy8CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ce505f04cf9522fc123cb1c9cacbf9b5343b12a8efe6760fff5428fe30467c20","last_reissued_at":"2026-05-18T01:48:06.431188Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:06.431188Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Exponentiation for products of Wilson lines within the generating function approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Alexey A.Vladimirov","submitted_at":"2015-01-14T11:13:29Z","abstract_excerpt":"We present the generating function approach to the perturbative exponentiation of correlators of a product of Wilson lines and loops. The exponentiated expression is presented in closed form as an algebraic function of correlators of known operators, which can be seen as a generating function for web diagrams. The expression is naturally split onto two parts: the exponentiation kernel, which accumulates all non-trivial information about web diagrams, and the defect of exponentiation, which reconstructs the matrix exponent and is a function of the exponentiation kernel. The detailed comparison "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.03316","kind":"arxiv","version":2},"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":"1501.03316","created_at":"2026-05-18T01:48:06.431267+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.03316v2","created_at":"2026-05-18T01:48:06.431267+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.03316","created_at":"2026-05-18T01:48:06.431267+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZZIF6BGPSURP","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZZIF6BGPSURPYER4","created_at":"2026-05-18T12:29:52.810259+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZZIF6BGP","created_at":"2026-05-18T12:29:52.810259+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"1908.11379","citing_title":"Infrared Singularities of Scattering Amplitudes and N$^3$LL Resummation for $n$-Jet Processes","ref_index":35,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU","json":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU.json","graph_json":"https://pith.science/api/pith-number/ZZIF6BGPSURPYER4WHE4VS7ZWU/graph.json","events_json":"https://pith.science/api/pith-number/ZZIF6BGPSURPYER4WHE4VS7ZWU/events.json","paper":"https://pith.science/paper/ZZIF6BGP"},"agent_actions":{"view_html":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU","download_json":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU.json","view_paper":"https://pith.science/paper/ZZIF6BGP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.03316&json=true","fetch_graph":"https://pith.science/api/pith-number/ZZIF6BGPSURPYER4WHE4VS7ZWU/graph.json","fetch_events":"https://pith.science/api/pith-number/ZZIF6BGPSURPYER4WHE4VS7ZWU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU/action/storage_attestation","attest_author":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU/action/author_attestation","sign_citation":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU/action/citation_signature","submit_replication":"https://pith.science/pith/ZZIF6BGPSURPYER4WHE4VS7ZWU/action/replication_record"}},"created_at":"2026-05-18T01:48:06.431267+00:00","updated_at":"2026-05-18T01:48:06.431267+00:00"}