{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:CX4RLD72EEJASYJWRPCE4KH75U","short_pith_number":"pith:CX4RLD72","schema_version":"1.0","canonical_sha256":"15f9158ffa21120961368bc44e28ffed1f9c4280eed2432ea3cd6f37ef6515e8","source":{"kind":"arxiv","id":"1501.06804","version":1},"attestation_state":"computed","paper":{"title":"Anderson-Stark units for $\\mathbb F_q[\\theta]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Bruno Angl\\`es, Federico Pellarin, Floric Tavares Ribeiro","submitted_at":"2015-01-27T16:16:17Z","abstract_excerpt":"We investigate the arithmetic of special values of a new class of $L$-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use these Anderson-Stark units to prove that $L$-functions can be expressed as sums of polylogarithms."},"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":"1501.06804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-01-27T16:16:17Z","cross_cats_sorted":[],"title_canon_sha256":"37f461ab9a2d7501168b7b5e0afd541579d6fce22376436c9a28ecb4d5128005","abstract_canon_sha256":"7918f6e0d208b0ce4787a125567c4186ce582909d9a1dbf4667ed9e35bcec347"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:32.585890Z","signature_b64":"THYcOoeKTTZgzyW3GIXXjXTLtBSBTP6MTHI5ZcEb80LyUrS5BRXwa8Cu/gXaCPz1sFq8JSP22k86CjnwkdbyDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"15f9158ffa21120961368bc44e28ffed1f9c4280eed2432ea3cd6f37ef6515e8","last_reissued_at":"2026-05-18T02:28:32.585205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:32.585205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Anderson-Stark units for $\\mathbb F_q[\\theta]$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Bruno Angl\\`es, Federico Pellarin, Floric Tavares Ribeiro","submitted_at":"2015-01-27T16:16:17Z","abstract_excerpt":"We investigate the arithmetic of special values of a new class of $L$-functions recently introduced by the second author. We prove that these special values are encoded in some particular polynomials which we call Anderson-Stark units. We then use these Anderson-Stark units to prove that $L$-functions can be expressed as sums of polylogarithms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06804","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":""},"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":"1501.06804","created_at":"2026-05-18T02:28:32.585337+00:00"},{"alias_kind":"arxiv_version","alias_value":"1501.06804v1","created_at":"2026-05-18T02:28:32.585337+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06804","created_at":"2026-05-18T02:28:32.585337+00:00"},{"alias_kind":"pith_short_12","alias_value":"CX4RLD72EEJA","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_16","alias_value":"CX4RLD72EEJASYJW","created_at":"2026-05-18T12:29:17.054201+00:00"},{"alias_kind":"pith_short_8","alias_value":"CX4RLD72","created_at":"2026-05-18T12:29:17.054201+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/CX4RLD72EEJASYJWRPCE4KH75U","json":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U.json","graph_json":"https://pith.science/api/pith-number/CX4RLD72EEJASYJWRPCE4KH75U/graph.json","events_json":"https://pith.science/api/pith-number/CX4RLD72EEJASYJWRPCE4KH75U/events.json","paper":"https://pith.science/paper/CX4RLD72"},"agent_actions":{"view_html":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U","download_json":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U.json","view_paper":"https://pith.science/paper/CX4RLD72","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1501.06804&json=true","fetch_graph":"https://pith.science/api/pith-number/CX4RLD72EEJASYJWRPCE4KH75U/graph.json","fetch_events":"https://pith.science/api/pith-number/CX4RLD72EEJASYJWRPCE4KH75U/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U/action/storage_attestation","attest_author":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U/action/author_attestation","sign_citation":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U/action/citation_signature","submit_replication":"https://pith.science/pith/CX4RLD72EEJASYJWRPCE4KH75U/action/replication_record"}},"created_at":"2026-05-18T02:28:32.585337+00:00","updated_at":"2026-05-18T02:28:32.585337+00:00"}