{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:W4BLUMRBBIWTUDOB2LB2MKBWYK","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"2d5da38577ccc731f3f5e37ab00d25e6d7c0791c6f8bef92b194cc9b6fb02f43","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-24T16:04:11Z","title_canon_sha256":"a74e7924c679c94f9b0b17fd5df7315c2c3dbd93d9d1b76594acf2f2cdb2631a"},"schema_version":"1.0","source":{"id":"1206.5513","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.5513","created_at":"2026-05-18T02:28:21Z"},{"alias_kind":"arxiv_version","alias_value":"1206.5513v1","created_at":"2026-05-18T02:28:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.5513","created_at":"2026-05-18T02:28:21Z"},{"alias_kind":"pith_short_12","alias_value":"W4BLUMRBBIWT","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"W4BLUMRBBIWTUDOB","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"W4BLUMRB","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:0027e2aec3c3e60b3a663de38c02758e270832ee3f149f8bc1758c87c309d4e1","target":"graph","created_at":"2026-05-18T02:28:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We define a p-adic character to be a continuous homomorphism from 1 + t\\Fq[[t]] to \\Zp^*. We use the ring of big Witt vectors over Fq to exhibit a bijection between p-adic characters and sequences (c_i) of elements in Zq, indexed by natural numbers relatively prime to p, and which converge to zero p-adically. To such a p-adic character we associate an L-function, and we prove that this L-function is p-adic meromorphic if the corresponding sequence (c_i) is overconvergent. If more generally the sequence is c\\log-convergent, we show that the associated L-function is meromorphic in the open disk ","authors_text":"Christopher Davis, Daqing Wan","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-24T16:04:11Z","title":"L-functions of p-adic characters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.5513","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:1c01b69c2ed61624d6ca25e3b8815dd3ba0ab875c8047757e412c13fa8b99143","target":"record","created_at":"2026-05-18T02:28:21Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"2d5da38577ccc731f3f5e37ab00d25e6d7c0791c6f8bef92b194cc9b6fb02f43","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-06-24T16:04:11Z","title_canon_sha256":"a74e7924c679c94f9b0b17fd5df7315c2c3dbd93d9d1b76594acf2f2cdb2631a"},"schema_version":"1.0","source":{"id":"1206.5513","kind":"arxiv","version":1}},"canonical_sha256":"b702ba32210a2d3a0dc1d2c3a62836c293644a98888d2af77ac1de5834dc646d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b702ba32210a2d3a0dc1d2c3a62836c293644a98888d2af77ac1de5834dc646d","first_computed_at":"2026-05-18T02:28:21.250331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:21.250331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"tdYw1l8AcA0H3aJZy5QgfDiDBPbSOYVUFvJX7rPuK0YvI69mUxaHG2w4MEUzxaOkYAFHdeJJpqCkXRvbzlDmBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:21.250964Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.5513","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1c01b69c2ed61624d6ca25e3b8815dd3ba0ab875c8047757e412c13fa8b99143","sha256:0027e2aec3c3e60b3a663de38c02758e270832ee3f149f8bc1758c87c309d4e1"],"state_sha256":"3447441187ac4accd29b7a1f9349f353aafb6bd14f1539f6bb0d720e2fb4b6b2"}