{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2026:RFB4GT7DSEJD3RJZRAGYVYEUCT","short_pith_number":"pith:RFB4GT7D","schema_version":"1.0","canonical_sha256":"8943c34fe391123dc539880d8ae09414d4d01562094be353aae0505d0a83b7c4","source":{"kind":"arxiv","id":"2608.02702","version":1},"attestation_state":"computed","paper":{"title":"The $q$-extension of iterated integrals and nested sums in quantum field theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"A.M. Gavrilik, C. Schneider, J. Bl\\\"umlein, O. Mykhailiv","submitted_at":"2026-08-03T14:37:13Z","abstract_excerpt":"Analytic calculations of zero- and single-scale quantities in perturbative quantum field theory result into special numbers and functions, the first of which have been revealed during the last decades. These are generalizations of the polylogarithm in form of Kummer-Poincar\\'e iterative integrals over special alphabets and extensions thereof.With growing order in the coupling constant, the polylogarithms, Nielsen integrals, the iterated integrals over linear denominator terms, cyclotomic letters, letters induced by quadratic forms, square-root valued letters, and more general functions contrib"},"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":"2608.02702","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math-ph","submitted_at":"2026-08-03T14:37:13Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"4c112f91938a14b456bb492b28ce4f083ea9ae340d4446fd989fc9535a4052d9","abstract_canon_sha256":"17579030be618960990b3dea9ff843da3b3d95e9860f23aa5fdefc62bccabc03"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-08-05T00:39:27.766386Z","signature_b64":"pTTW0aVw1U7O+hN3YCbplPwidEqZXx4IYjs+7PiKfZ1yc+qxDSSUhmt5a9jZZoEai86HdHDI8f5vXVxRQITHAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8943c34fe391123dc539880d8ae09414d4d01562094be353aae0505d0a83b7c4","last_reissued_at":"2026-08-05T00:39:27.764006Z","signature_status":"signed_v1","first_computed_at":"2026-08-05T00:39:27.764006Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The $q$-extension of iterated integrals and nested sums in quantum field theory","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"A.M. Gavrilik, C. Schneider, J. Bl\\\"umlein, O. Mykhailiv","submitted_at":"2026-08-03T14:37:13Z","abstract_excerpt":"Analytic calculations of zero- and single-scale quantities in perturbative quantum field theory result into special numbers and functions, the first of which have been revealed during the last decades. These are generalizations of the polylogarithm in form of Kummer-Poincar\\'e iterative integrals over special alphabets and extensions thereof.With growing order in the coupling constant, the polylogarithms, Nielsen integrals, the iterated integrals over linear denominator terms, cyclotomic letters, letters induced by quadratic forms, square-root valued letters, and more general functions contrib"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.02702","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/2608.02702/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":"2608.02702","created_at":"2026-08-05T00:39:27.764881+00:00"},{"alias_kind":"arxiv_version","alias_value":"2608.02702v1","created_at":"2026-08-05T00:39:27.764881+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.02702","created_at":"2026-08-05T00:39:27.764881+00:00"},{"alias_kind":"pith_short_12","alias_value":"RFB4GT7DSEJD","created_at":"2026-08-05T00:39:27.764881+00:00"},{"alias_kind":"pith_short_16","alias_value":"RFB4GT7DSEJD3RJZ","created_at":"2026-08-05T00:39:27.764881+00:00"},{"alias_kind":"pith_short_8","alias_value":"RFB4GT7D","created_at":"2026-08-05T00:39:27.764881+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/RFB4GT7DSEJD3RJZRAGYVYEUCT","json":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT.json","graph_json":"https://pith.science/api/pith-number/RFB4GT7DSEJD3RJZRAGYVYEUCT/graph.json","events_json":"https://pith.science/api/pith-number/RFB4GT7DSEJD3RJZRAGYVYEUCT/events.json","paper":"https://pith.science/paper/RFB4GT7D"},"agent_actions":{"view_html":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT","download_json":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT.json","view_paper":"https://pith.science/paper/RFB4GT7D","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2608.02702&json=true","fetch_graph":"https://pith.science/api/pith-number/RFB4GT7DSEJD3RJZRAGYVYEUCT/graph.json","fetch_events":"https://pith.science/api/pith-number/RFB4GT7DSEJD3RJZRAGYVYEUCT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT/action/storage_attestation","attest_author":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT/action/author_attestation","sign_citation":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT/action/citation_signature","submit_replication":"https://pith.science/pith/RFB4GT7DSEJD3RJZRAGYVYEUCT/action/replication_record"}},"created_at":"2026-08-05T00:39:27.764881+00:00","updated_at":"2026-08-05T00:39:27.764881+00:00"}