{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HFEVDAPMUIYBWYLMNJCKJR4B7G","short_pith_number":"pith:HFEVDAPM","schema_version":"1.0","canonical_sha256":"39495181eca2301b616c6a44a4c781f981a01b81955a529b43a6900832d1e164","source":{"kind":"arxiv","id":"1908.04770","version":1},"attestation_state":"computed","paper":{"title":"On functional equations for Nielsen polylogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.NT","authors_text":"Danylo Radchenko, Herbert Gangl, Steven Charlton","submitted_at":"2019-08-13T17:31:49Z","abstract_excerpt":"We derive new functional equations for Nielsen polylogarithms. We show that, when viewed modulo $\\mathrm{Li}_5$ and products of lower weight functions, the weight $5$ Nielsen polylogarithm $S_{3,2}$ satisfies the dilogarithm five-term relation. We also give some functional equations and evaluations for Nielsen polylogarithms in weights up to 8, and general families of identities in higher weight."},"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":"1908.04770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2019-08-13T17:31:49Z","cross_cats_sorted":["math.KT"],"title_canon_sha256":"8605514f5c749ad0aec789e6b6c6394ff165e79ab6c2a2d3278d77d18ef72e9b","abstract_canon_sha256":"7da28305cad47ba922695b3e79620df39f8185573c8fe0e31ae9fcf9a3acc30c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:55:16.303258Z","signature_b64":"aC9zAbPbQ+QHnQ1wC994esVF+cNAi4HccvXJADDbKcoIiCiGOEPJ7dbYOMWxDgjscnvRftEWl2Fmk8vNzwaHBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"39495181eca2301b616c6a44a4c781f981a01b81955a529b43a6900832d1e164","last_reissued_at":"2026-07-04T23:55:16.302883Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:55:16.302883Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On functional equations for Nielsen polylogarithms","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.KT"],"primary_cat":"math.NT","authors_text":"Danylo Radchenko, Herbert Gangl, Steven Charlton","submitted_at":"2019-08-13T17:31:49Z","abstract_excerpt":"We derive new functional equations for Nielsen polylogarithms. We show that, when viewed modulo $\\mathrm{Li}_5$ and products of lower weight functions, the weight $5$ Nielsen polylogarithm $S_{3,2}$ satisfies the dilogarithm five-term relation. We also give some functional equations and evaluations for Nielsen polylogarithms in weights up to 8, and general families of identities in higher weight."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1908.04770","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/1908.04770/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":"1908.04770","created_at":"2026-07-04T23:55:16.302935+00:00"},{"alias_kind":"arxiv_version","alias_value":"1908.04770v1","created_at":"2026-07-04T23:55:16.302935+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1908.04770","created_at":"2026-07-04T23:55:16.302935+00:00"},{"alias_kind":"pith_short_12","alias_value":"HFEVDAPMUIYB","created_at":"2026-07-04T23:55:16.302935+00:00"},{"alias_kind":"pith_short_16","alias_value":"HFEVDAPMUIYBWYLM","created_at":"2026-07-04T23:55:16.302935+00:00"},{"alias_kind":"pith_short_8","alias_value":"HFEVDAPM","created_at":"2026-07-04T23:55:16.302935+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/HFEVDAPMUIYBWYLMNJCKJR4B7G","json":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G.json","graph_json":"https://pith.science/api/pith-number/HFEVDAPMUIYBWYLMNJCKJR4B7G/graph.json","events_json":"https://pith.science/api/pith-number/HFEVDAPMUIYBWYLMNJCKJR4B7G/events.json","paper":"https://pith.science/paper/HFEVDAPM"},"agent_actions":{"view_html":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G","download_json":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G.json","view_paper":"https://pith.science/paper/HFEVDAPM","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1908.04770&json=true","fetch_graph":"https://pith.science/api/pith-number/HFEVDAPMUIYBWYLMNJCKJR4B7G/graph.json","fetch_events":"https://pith.science/api/pith-number/HFEVDAPMUIYBWYLMNJCKJR4B7G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G/action/storage_attestation","attest_author":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G/action/author_attestation","sign_citation":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G/action/citation_signature","submit_replication":"https://pith.science/pith/HFEVDAPMUIYBWYLMNJCKJR4B7G/action/replication_record"}},"created_at":"2026-07-04T23:55:16.302935+00:00","updated_at":"2026-07-04T23:55:16.302935+00:00"}