{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2021:UYFISJBCZVR5ZJWRTFO7E3P4O7","short_pith_number":"pith:UYFISJBC","schema_version":"1.0","canonical_sha256":"a60a892422cd63dca6d1995df26dfc77f3fdaf14e3edb9842e4edad67f90b95d","source":{"kind":"arxiv","id":"2103.08330","version":1},"attestation_state":"computed","paper":{"title":"Iterated integrals over letters induced by quadratic forms","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.SC","hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"C. Schneider, J. Ablinger, J. Bl\\\"umlein","submitted_at":"2021-03-15T12:20:31Z","abstract_excerpt":"An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincar\\'e letters is presented. These quantities emerge in analytic single and multi--scale Feynman diagram calculations. To compactify representations, one wishes to apply general properties of these quantities in computer-algebraic implementations. We provide the reduction to basis representations, expansions, analytic continuation and numerical evaluation of these quantities."},"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":"2103.08330","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"hep-th","submitted_at":"2021-03-15T12:20:31Z","cross_cats_sorted":["cs.SC","hep-ph","math-ph","math.MP"],"title_canon_sha256":"10f964182a21e4b3075b86fb5ef442627d9116bb573f962efb94614d75a56f7a","abstract_canon_sha256":"5974cb1d3bb2c59f7326eb95eb50db1a6457e685390514719120bf43b5d3c420"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:45:25.291089Z","signature_b64":"M+CiLp4plWvL+zechnzVvtAYP47Bn/6flB1/tZWOJlTQSsQkflI1vPwfxuqYmEuWSzw15beO02+Nk3XLlqSlBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a60a892422cd63dca6d1995df26dfc77f3fdaf14e3edb9842e4edad67f90b95d","last_reissued_at":"2026-07-05T02:45:25.290665Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:45:25.290665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterated integrals over letters induced by quadratic forms","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.SC","hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"C. Schneider, J. Ablinger, J. Bl\\\"umlein","submitted_at":"2021-03-15T12:20:31Z","abstract_excerpt":"An automated treatment of iterated integrals based on letters induced by real-valued quadratic forms and Kummer--Poincar\\'e letters is presented. These quantities emerge in analytic single and multi--scale Feynman diagram calculations. To compactify representations, one wishes to apply general properties of these quantities in computer-algebraic implementations. We provide the reduction to basis representations, expansions, analytic continuation and numerical evaluation of these quantities."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.08330","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/2103.08330/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":"2103.08330","created_at":"2026-07-05T02:45:25.290720+00:00"},{"alias_kind":"arxiv_version","alias_value":"2103.08330v1","created_at":"2026-07-05T02:45:25.290720+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.08330","created_at":"2026-07-05T02:45:25.290720+00:00"},{"alias_kind":"pith_short_12","alias_value":"UYFISJBCZVR5","created_at":"2026-07-05T02:45:25.290720+00:00"},{"alias_kind":"pith_short_16","alias_value":"UYFISJBCZVR5ZJWR","created_at":"2026-07-05T02:45:25.290720+00:00"},{"alias_kind":"pith_short_8","alias_value":"UYFISJBC","created_at":"2026-07-05T02:45:25.290720+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":0,"sample":[{"citing_arxiv_id":"2606.12584","citing_title":"The $\\mu$-extension of iterated integrals and nested sums","ref_index":71,"is_internal_anchor":false}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7","json":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7.json","graph_json":"https://pith.science/api/pith-number/UYFISJBCZVR5ZJWRTFO7E3P4O7/graph.json","events_json":"https://pith.science/api/pith-number/UYFISJBCZVR5ZJWRTFO7E3P4O7/events.json","paper":"https://pith.science/paper/UYFISJBC"},"agent_actions":{"view_html":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7","download_json":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7.json","view_paper":"https://pith.science/paper/UYFISJBC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2103.08330&json=true","fetch_graph":"https://pith.science/api/pith-number/UYFISJBCZVR5ZJWRTFO7E3P4O7/graph.json","fetch_events":"https://pith.science/api/pith-number/UYFISJBCZVR5ZJWRTFO7E3P4O7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7/action/storage_attestation","attest_author":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7/action/author_attestation","sign_citation":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7/action/citation_signature","submit_replication":"https://pith.science/pith/UYFISJBCZVR5ZJWRTFO7E3P4O7/action/replication_record"}},"created_at":"2026-07-05T02:45:25.290720+00:00","updated_at":"2026-07-05T02:45:25.290720+00:00"}