{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:6Z2EFMWDECGMUXJP5IHZGR2MP3","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":"21d0a932366891e17cff889c3ba89194418aa796783091459dfe693b7f6fdcca","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-06-26T19:51:20Z","title_canon_sha256":"699aa22e3b6345dfb4f491671090a68a5ddc189e30893ecdff9c536293207dd6"},"schema_version":"1.0","source":{"id":"1006.5162","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.5162","created_at":"2026-05-18T03:48:01Z"},{"alias_kind":"arxiv_version","alias_value":"1006.5162v1","created_at":"2026-05-18T03:48:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.5162","created_at":"2026-05-18T03:48:01Z"},{"alias_kind":"pith_short_12","alias_value":"6Z2EFMWDECGM","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_16","alias_value":"6Z2EFMWDECGMUXJP","created_at":"2026-05-18T12:26:04Z"},{"alias_kind":"pith_short_8","alias_value":"6Z2EFMWD","created_at":"2026-05-18T12:26:04Z"}],"graph_snapshots":[{"event_id":"sha256:e6294a6ee06a375b2dbb8265f1e51bcb0c2d7d9499a165f13ea81a89f38de9a5","target":"graph","created_at":"2026-05-18T03:48:01Z","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":"The numerical data of an embedded resolution determine the candidate poles of Igusa's p-adic zeta function. We determine in complete generality which real candidate poles are actual poles in the curve case.","authors_text":"Denis Ibadula, Dirk Segers","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-06-26T19:51:20Z","title":"Determination of the real poles of the Igusa zeta function for curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.5162","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":"sha256:14e5c458b93eb872d07340838c9ad1bda1892f2b845115ac561c6c97e70fedc5","target":"record","created_at":"2026-05-18T03:48:01Z","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":"21d0a932366891e17cff889c3ba89194418aa796783091459dfe693b7f6fdcca","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2010-06-26T19:51:20Z","title_canon_sha256":"699aa22e3b6345dfb4f491671090a68a5ddc189e30893ecdff9c536293207dd6"},"schema_version":"1.0","source":{"id":"1006.5162","kind":"arxiv","version":1}},"canonical_sha256":"f67442b2c3208cca5d2fea0f93474c7edd8a8a8d0ffc740f37f41ad5043b24b8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f67442b2c3208cca5d2fea0f93474c7edd8a8a8d0ffc740f37f41ad5043b24b8","first_computed_at":"2026-05-18T03:48:01.386255Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:48:01.386255Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"U4bUBCME8GJ1VLDArrgNMh6IbPa+ICVXSD3D2ku6V4TpLZRIWOglj69UFQa/20w7Cg9en9XI/WKAPXvkeJE6AA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:48:01.386658Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.5162","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:14e5c458b93eb872d07340838c9ad1bda1892f2b845115ac561c6c97e70fedc5","sha256:e6294a6ee06a375b2dbb8265f1e51bcb0c2d7d9499a165f13ea81a89f38de9a5"],"state_sha256":"87776eb8ad6a0ec3969639058a86c5456de064187d951189f040f241199f4ec5"}