{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:ZO3I3T3KB33NUL2P6RCMSGMAHE","short_pith_number":"pith:ZO3I3T3K","schema_version":"1.0","canonical_sha256":"cbb68dcf6a0ef6da2f4ff444c91980393d1fdea6da04001601ef8278fa6c152a","source":{"kind":"arxiv","id":"1204.2001","version":1},"attestation_state":"computed","paper":{"title":"Unboundedness of the number of rational points on curves over function fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Douglas Ulmer, Jos\\'e Felipe Voloch, Ricardo Concei\\c{c}\\~ao","submitted_at":"2012-04-09T22:19:28Z","abstract_excerpt":"We give examples of sequences of smooth non-isotrivial curves for every genus at least two, defined over a rational function field of positive characteristic, such that the (finite) number of rational points of the curves in the sequence cannot be uniformly bounded."},"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":"1204.2001","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2012-04-09T22:19:28Z","cross_cats_sorted":[],"title_canon_sha256":"cd21847dc2026dd902175b420402b0af5afccee14116c9947ad185b21e35b58b","abstract_canon_sha256":"639d36030166cfc2fea17ebd31345be918326498d6533339df39e57d0eb77319"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:28.627543Z","signature_b64":"LuK20wLMfutqMY/VPJFf7sD4AmgllKJdn6/8abaFpCP8TOfAjX951IEHSXgIJ4Q4E7w+gSsxEHiOy6Dy3tAwBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbb68dcf6a0ef6da2f4ff444c91980393d1fdea6da04001601ef8278fa6c152a","last_reissued_at":"2026-05-18T01:09:28.627095Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:28.627095Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Unboundedness of the number of rational points on curves over function fields","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Douglas Ulmer, Jos\\'e Felipe Voloch, Ricardo Concei\\c{c}\\~ao","submitted_at":"2012-04-09T22:19:28Z","abstract_excerpt":"We give examples of sequences of smooth non-isotrivial curves for every genus at least two, defined over a rational function field of positive characteristic, such that the (finite) number of rational points of the curves in the sequence cannot be uniformly bounded."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.2001","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":"1204.2001","created_at":"2026-05-18T01:09:28.627166+00:00"},{"alias_kind":"arxiv_version","alias_value":"1204.2001v1","created_at":"2026-05-18T01:09:28.627166+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1204.2001","created_at":"2026-05-18T01:09:28.627166+00:00"},{"alias_kind":"pith_short_12","alias_value":"ZO3I3T3KB33N","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_16","alias_value":"ZO3I3T3KB33NUL2P","created_at":"2026-05-18T12:27:30.460161+00:00"},{"alias_kind":"pith_short_8","alias_value":"ZO3I3T3K","created_at":"2026-05-18T12:27:30.460161+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/ZO3I3T3KB33NUL2P6RCMSGMAHE","json":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE.json","graph_json":"https://pith.science/api/pith-number/ZO3I3T3KB33NUL2P6RCMSGMAHE/graph.json","events_json":"https://pith.science/api/pith-number/ZO3I3T3KB33NUL2P6RCMSGMAHE/events.json","paper":"https://pith.science/paper/ZO3I3T3K"},"agent_actions":{"view_html":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE","download_json":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE.json","view_paper":"https://pith.science/paper/ZO3I3T3K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1204.2001&json=true","fetch_graph":"https://pith.science/api/pith-number/ZO3I3T3KB33NUL2P6RCMSGMAHE/graph.json","fetch_events":"https://pith.science/api/pith-number/ZO3I3T3KB33NUL2P6RCMSGMAHE/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE/action/storage_attestation","attest_author":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE/action/author_attestation","sign_citation":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE/action/citation_signature","submit_replication":"https://pith.science/pith/ZO3I3T3KB33NUL2P6RCMSGMAHE/action/replication_record"}},"created_at":"2026-05-18T01:09:28.627166+00:00","updated_at":"2026-05-18T01:09:28.627166+00:00"}