{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:QGS7SFECOV7LEOGJVA6DLJFGQS","short_pith_number":"pith:QGS7SFEC","schema_version":"1.0","canonical_sha256":"81a5f91482757eb238c9a83c35a4a684a8c99311e144d3abee28f66f47ed6f68","source":{"kind":"arxiv","id":"1208.4704","version":1},"attestation_state":"computed","paper":{"title":"The asymptotic behaviour of the number of solutions of polynomial congruences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Dirk Segers","submitted_at":"2012-08-23T09:44:04Z","abstract_excerpt":"One mentions in a lot of papers that the poles of Igusa's p-adic zeta function determine the asymptotic behavior of the number of solutions of polynomial congruences. However, no publication clarifies this connection precisely. We try to get rid of this gap."},"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":"1208.4704","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-08-23T09:44:04Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"24aa0a08eeed5c6ec3f11f9e209e14b3602d26934f14e9e4727fcaa311f82c31","abstract_canon_sha256":"703eef4844eb81f4f2d042a67ec56df89c744aa437e8c4d0a8ba13f2f6e407ec"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:48:12.827785Z","signature_b64":"o3D07mBR+v7KSqKeaGAu/3JFDWAc6qjW85gL5sYPv7PUkaER5O2mWGB5ozF1ya+BntG7d0cVHYYugLFwwssIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"81a5f91482757eb238c9a83c35a4a684a8c99311e144d3abee28f66f47ed6f68","last_reissued_at":"2026-05-18T03:48:12.827170Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:48:12.827170Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"The asymptotic behaviour of the number of solutions of polynomial congruences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"math.NT","authors_text":"Dirk Segers","submitted_at":"2012-08-23T09:44:04Z","abstract_excerpt":"One mentions in a lot of papers that the poles of Igusa's p-adic zeta function determine the asymptotic behavior of the number of solutions of polynomial congruences. However, no publication clarifies this connection precisely. We try to get rid of this gap."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.4704","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":"1208.4704","created_at":"2026-05-18T03:48:12.827285+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.4704v1","created_at":"2026-05-18T03:48:12.827285+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.4704","created_at":"2026-05-18T03:48:12.827285+00:00"},{"alias_kind":"pith_short_12","alias_value":"QGS7SFECOV7L","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_16","alias_value":"QGS7SFECOV7LEOGJ","created_at":"2026-05-18T12:27:18.751474+00:00"},{"alias_kind":"pith_short_8","alias_value":"QGS7SFEC","created_at":"2026-05-18T12:27:18.751474+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/QGS7SFECOV7LEOGJVA6DLJFGQS","json":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS.json","graph_json":"https://pith.science/api/pith-number/QGS7SFECOV7LEOGJVA6DLJFGQS/graph.json","events_json":"https://pith.science/api/pith-number/QGS7SFECOV7LEOGJVA6DLJFGQS/events.json","paper":"https://pith.science/paper/QGS7SFEC"},"agent_actions":{"view_html":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS","download_json":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS.json","view_paper":"https://pith.science/paper/QGS7SFEC","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.4704&json=true","fetch_graph":"https://pith.science/api/pith-number/QGS7SFECOV7LEOGJVA6DLJFGQS/graph.json","fetch_events":"https://pith.science/api/pith-number/QGS7SFECOV7LEOGJVA6DLJFGQS/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS/action/storage_attestation","attest_author":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS/action/author_attestation","sign_citation":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS/action/citation_signature","submit_replication":"https://pith.science/pith/QGS7SFECOV7LEOGJVA6DLJFGQS/action/replication_record"}},"created_at":"2026-05-18T03:48:12.827285+00:00","updated_at":"2026-05-18T03:48:12.827285+00:00"}