{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:ODC2HNFK3XM5YGXQWCRYPJX24A","short_pith_number":"pith:ODC2HNFK","schema_version":"1.0","canonical_sha256":"70c5a3b4aaddd9dc1af0b0a387a6fae0206c916f4c68dc77cc19ef71bdfdec8f","source":{"kind":"arxiv","id":"1601.02649","version":3},"attestation_state":"computed","paper":{"title":"On the reduction of generalized polylogarithms to $\\text{Li}_n$ and $\\text{Li}_{2,2}$ and on the evaluation thereof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.NA"],"primary_cat":"hep-ph","authors_text":"Christopher Wever, Damiano Tommasini, Hjalte Frellesvig","submitted_at":"2016-01-11T21:18:47Z","abstract_excerpt":"We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, $\\text{Li}_n$, and $\\text{Li}_{2,2}$, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of $\\text{Li}_n$ and $\\text{Li}_{2,2}$, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in App. C."},"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":"1601.02649","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-01-11T21:18:47Z","cross_cats_sorted":["hep-th","math.NA"],"title_canon_sha256":"c7e2fbc1ad309ee373aad34312e59137cf61eb0e881028cb4d7c7a4caf212ccb","abstract_canon_sha256":"ca565d91fec235460d7db405c76565851392c4b578d1ef86b6ab9f66aefea8cb"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:13:09.493824Z","signature_b64":"NYxq3HoTK0ZhOhiSSjYbSMjGSxs/zXuM6lON1dWScN9nLvjO8grmhL2Z60xNOM4DDhRgZwqk7G7IOIURt1K4Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"70c5a3b4aaddd9dc1af0b0a387a6fae0206c916f4c68dc77cc19ef71bdfdec8f","last_reissued_at":"2026-05-18T01:13:09.493450Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:13:09.493450Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the reduction of generalized polylogarithms to $\\text{Li}_n$ and $\\text{Li}_{2,2}$ and on the evaluation thereof","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.NA"],"primary_cat":"hep-ph","authors_text":"Christopher Wever, Damiano Tommasini, Hjalte Frellesvig","submitted_at":"2016-01-11T21:18:47Z","abstract_excerpt":"We give expressions for all generalized polylogarithms up to weight four in terms of the functions log, $\\text{Li}_n$, and $\\text{Li}_{2,2}$, valid for arbitrary complex variables. Furthermore we provide algorithms for manipulation and numerical evaluation of $\\text{Li}_n$ and $\\text{Li}_{2,2}$, and add codes in Mathematica and C++ implementing the results. With these results we calculate a number of previously unknown integrals, which we add in App. C."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.02649","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":"1601.02649","created_at":"2026-05-18T01:13:09.493511+00:00"},{"alias_kind":"arxiv_version","alias_value":"1601.02649v3","created_at":"2026-05-18T01:13:09.493511+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.02649","created_at":"2026-05-18T01:13:09.493511+00:00"},{"alias_kind":"pith_short_12","alias_value":"ODC2HNFK3XM5","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_16","alias_value":"ODC2HNFK3XM5YGXQ","created_at":"2026-05-18T12:30:36.002864+00:00"},{"alias_kind":"pith_short_8","alias_value":"ODC2HNFK","created_at":"2026-05-18T12:30:36.002864+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":1,"internal_anchor_count":1,"sample":[{"citing_arxiv_id":"2607.06099","citing_title":"ggxy: Fast and flexible NLO QCD corrections to gluon-initiated processes","ref_index":34,"is_internal_anchor":true}]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A","json":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A.json","graph_json":"https://pith.science/api/pith-number/ODC2HNFK3XM5YGXQWCRYPJX24A/graph.json","events_json":"https://pith.science/api/pith-number/ODC2HNFK3XM5YGXQWCRYPJX24A/events.json","paper":"https://pith.science/paper/ODC2HNFK"},"agent_actions":{"view_html":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A","download_json":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A.json","view_paper":"https://pith.science/paper/ODC2HNFK","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1601.02649&json=true","fetch_graph":"https://pith.science/api/pith-number/ODC2HNFK3XM5YGXQWCRYPJX24A/graph.json","fetch_events":"https://pith.science/api/pith-number/ODC2HNFK3XM5YGXQWCRYPJX24A/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A/action/storage_attestation","attest_author":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A/action/author_attestation","sign_citation":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A/action/citation_signature","submit_replication":"https://pith.science/pith/ODC2HNFK3XM5YGXQWCRYPJX24A/action/replication_record"}},"created_at":"2026-05-18T01:13:09.493511+00:00","updated_at":"2026-05-18T01:13:09.493511+00:00"}