{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:URZ6W4SRLD522FR5ARNYZTPG3L","short_pith_number":"pith:URZ6W4SR","schema_version":"1.0","canonical_sha256":"a473eb725158fbad163d045b8ccde6dadd3f9fe1452a5de8a9c96b5ec6d4ea4b","source":{"kind":"arxiv","id":"1505.02129","version":1},"attestation_state":"computed","paper":{"title":"A Nonstandard Approach to Equidistribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Tristram de Piro","submitted_at":"2015-05-06T15:18:05Z","abstract_excerpt":"Using nonstandard analysis, we generalise a classical result on equidistributions to integrable functions, and give an application of the Weil conjectures for algebraic curves, to equidistribution in characteristic zero."},"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":"1505.02129","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GM","submitted_at":"2015-05-06T15:18:05Z","cross_cats_sorted":[],"title_canon_sha256":"a4b45f7ff32ef3b2c6346f74a5e7a8674994b13c01b9d03bab88f13626955aa3","abstract_canon_sha256":"926b3e50150cf01af4b71f633c83e363d667e7dd8ddf3d60ca3e99e3a1af684c"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:16:37.913564Z","signature_b64":"iEahcyYISI/GMGF48e8NGbmL4PYYRGaMQSXqba+ji9xquisU7OrICXnLrmwNoKTamlOMTKb/sCcUEMW2miAPAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a473eb725158fbad163d045b8ccde6dadd3f9fe1452a5de8a9c96b5ec6d4ea4b","last_reissued_at":"2026-05-18T02:16:37.913011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:16:37.913011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Nonstandard Approach to Equidistribution","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"Tristram de Piro","submitted_at":"2015-05-06T15:18:05Z","abstract_excerpt":"Using nonstandard analysis, we generalise a classical result on equidistributions to integrable functions, and give an application of the Weil conjectures for algebraic curves, to equidistribution in characteristic zero."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.02129","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":"1505.02129","created_at":"2026-05-18T02:16:37.913104+00:00"},{"alias_kind":"arxiv_version","alias_value":"1505.02129v1","created_at":"2026-05-18T02:16:37.913104+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.02129","created_at":"2026-05-18T02:16:37.913104+00:00"},{"alias_kind":"pith_short_12","alias_value":"URZ6W4SRLD52","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_16","alias_value":"URZ6W4SRLD522FR5","created_at":"2026-05-18T12:29:44.643036+00:00"},{"alias_kind":"pith_short_8","alias_value":"URZ6W4SR","created_at":"2026-05-18T12:29:44.643036+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/URZ6W4SRLD522FR5ARNYZTPG3L","json":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L.json","graph_json":"https://pith.science/api/pith-number/URZ6W4SRLD522FR5ARNYZTPG3L/graph.json","events_json":"https://pith.science/api/pith-number/URZ6W4SRLD522FR5ARNYZTPG3L/events.json","paper":"https://pith.science/paper/URZ6W4SR"},"agent_actions":{"view_html":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L","download_json":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L.json","view_paper":"https://pith.science/paper/URZ6W4SR","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1505.02129&json=true","fetch_graph":"https://pith.science/api/pith-number/URZ6W4SRLD522FR5ARNYZTPG3L/graph.json","fetch_events":"https://pith.science/api/pith-number/URZ6W4SRLD522FR5ARNYZTPG3L/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L/action/timestamp_anchor","attest_storage":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L/action/storage_attestation","attest_author":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L/action/author_attestation","sign_citation":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L/action/citation_signature","submit_replication":"https://pith.science/pith/URZ6W4SRLD522FR5ARNYZTPG3L/action/replication_record"}},"created_at":"2026-05-18T02:16:37.913104+00:00","updated_at":"2026-05-18T02:16:37.913104+00:00"}