{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ECBAGHCX746XZEYVM56KODWATQ","short_pith_number":"pith:ECBAGHCX","schema_version":"1.0","canonical_sha256":"2082031c57ff3d7c9315677ca70ec09c03ac55983ce6cdfc0eb08b747f9f272f","source":{"kind":"arxiv","id":"1206.5068","version":1},"attestation_state":"computed","paper":{"title":"Iterated period integrals and multiple Hecke $L$-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kentaro Ihara, YoungJu Choie","submitted_at":"2012-06-22T07:01:00Z","abstract_excerpt":"In this paper we express the multiple Hecke $L$-function in terms of a linear combination of iterated period integrals associated with elliptic cusp forms, which is introduced by Manin around 2004.\n  This expression generalizes the classical formula of Hecke $L$-function obtained by the Mellin transformation of a cusp form. Also the expression gives a way of the analytic continuation of the multipleHecke $L$-function."},"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":"1206.5068","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-22T07:01:00Z","cross_cats_sorted":[],"title_canon_sha256":"1b1262f013833b8d711b9b8dc65fe312ae2c2359cfb87679ee39b031fb2d54de","abstract_canon_sha256":"fa89bf02ea39fa5b7f1cc90b17a24301158e4e658c46209470212699bc79dc82"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:52:52.455978Z","signature_b64":"1fgEwOCwgEKSIHAXV+BDTIMd9SXXTBh2jjh1vpafU/AADVxep+uvleAELSdiUkJUwYTV+2eP/Icft0Y6F85mBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2082031c57ff3d7c9315677ca70ec09c03ac55983ce6cdfc0eb08b747f9f272f","last_reissued_at":"2026-05-18T03:52:52.455076Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:52:52.455076Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Iterated period integrals and multiple Hecke $L$-functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Kentaro Ihara, YoungJu Choie","submitted_at":"2012-06-22T07:01:00Z","abstract_excerpt":"In this paper we express the multiple Hecke $L$-function in terms of a linear combination of iterated period integrals associated with elliptic cusp forms, which is introduced by Manin around 2004.\n  This expression generalizes the classical formula of Hecke $L$-function obtained by the Mellin transformation of a cusp form. Also the expression gives a way of the analytic continuation of the multipleHecke $L$-function."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5068","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":"1206.5068","created_at":"2026-05-18T03:52:52.455209+00:00"},{"alias_kind":"arxiv_version","alias_value":"1206.5068v1","created_at":"2026-05-18T03:52:52.455209+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5068","created_at":"2026-05-18T03:52:52.455209+00:00"},{"alias_kind":"pith_short_12","alias_value":"ECBAGHCX746X","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"ECBAGHCX746XZEYV","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"ECBAGHCX","created_at":"2026-05-18T12:27:04.183437+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/ECBAGHCX746XZEYVM56KODWATQ","json":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ.json","graph_json":"https://pith.science/api/pith-number/ECBAGHCX746XZEYVM56KODWATQ/graph.json","events_json":"https://pith.science/api/pith-number/ECBAGHCX746XZEYVM56KODWATQ/events.json","paper":"https://pith.science/paper/ECBAGHCX"},"agent_actions":{"view_html":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ","download_json":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ.json","view_paper":"https://pith.science/paper/ECBAGHCX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1206.5068&json=true","fetch_graph":"https://pith.science/api/pith-number/ECBAGHCX746XZEYVM56KODWATQ/graph.json","fetch_events":"https://pith.science/api/pith-number/ECBAGHCX746XZEYVM56KODWATQ/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ/action/storage_attestation","attest_author":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ/action/author_attestation","sign_citation":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ/action/citation_signature","submit_replication":"https://pith.science/pith/ECBAGHCX746XZEYVM56KODWATQ/action/replication_record"}},"created_at":"2026-05-18T03:52:52.455209+00:00","updated_at":"2026-05-18T03:52:52.455209+00:00"}