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We show that it analytically continues to a maximal domain of holomorphy in three complex variables $(s, z, c)$ as a multivalued function defined over the base manifold ${\\bf C} \\times P^1({\\bf C} \\smallsetminus \\{0, 1, \\infty\\}) \\times ({\\bf C}\\smallsetminus {\\bf Z})$. and compute the monodromy functio"},"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":"1506.06161","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2015-06-19T21:24:21Z","cross_cats_sorted":[],"title_canon_sha256":"14183104cfc1a4fbc3125dc40e7d8012469475f443b02de7b3df1a30e12d96de","abstract_canon_sha256":"de6a9dd5d6d5becb784b320608da9c3e71cb3661100ec8d33a0b40a0492b317a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:32.272357Z","signature_b64":"M4vSFr+U+meCNeBVPz6sBQwUCZROFiDtN0AGpoOM7lh3X+T5DF2eHMkwzmhLMLZEAT9ZZ74JxAeDx5Of+LnJBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01d7848d2ff0376fb09fb9648c481007ffdcaeb485dbc7bf7deccbe030aee621","last_reissued_at":"2026-05-18T01:09:32.271817Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:32.271817Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The Lerch zeta function III. 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We show that it analytically continues to a maximal domain of holomorphy in three complex variables $(s, z, c)$ as a multivalued function defined over the base manifold ${\\bf C} \\times P^1({\\bf C} \\smallsetminus \\{0, 1, \\infty\\}) \\times ({\\bf C}\\smallsetminus {\\bf Z})$. and compute the monodromy functio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.06161","kind":"arxiv","version":2},"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":"1506.06161","created_at":"2026-05-18T01:09:32.271898+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.06161v2","created_at":"2026-05-18T01:09:32.271898+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.06161","created_at":"2026-05-18T01:09:32.271898+00:00"},{"alias_kind":"pith_short_12","alias_value":"AHLYJDJP6A3W","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_16","alias_value":"AHLYJDJP6A3W7ME7","created_at":"2026-05-18T12:29:10.953037+00:00"},{"alias_kind":"pith_short_8","alias_value":"AHLYJDJP","created_at":"2026-05-18T12:29:10.953037+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/AHLYJDJP6A3W7ME7XFSIYSAQA7","json":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7.json","graph_json":"https://pith.science/api/pith-number/AHLYJDJP6A3W7ME7XFSIYSAQA7/graph.json","events_json":"https://pith.science/api/pith-number/AHLYJDJP6A3W7ME7XFSIYSAQA7/events.json","paper":"https://pith.science/paper/AHLYJDJP"},"agent_actions":{"view_html":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7","download_json":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7.json","view_paper":"https://pith.science/paper/AHLYJDJP","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.06161&json=true","fetch_graph":"https://pith.science/api/pith-number/AHLYJDJP6A3W7ME7XFSIYSAQA7/graph.json","fetch_events":"https://pith.science/api/pith-number/AHLYJDJP6A3W7ME7XFSIYSAQA7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7/action/storage_attestation","attest_author":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7/action/author_attestation","sign_citation":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7/action/citation_signature","submit_replication":"https://pith.science/pith/AHLYJDJP6A3W7ME7XFSIYSAQA7/action/replication_record"}},"created_at":"2026-05-18T01:09:32.271898+00:00","updated_at":"2026-05-18T01:09:32.271898+00:00"}