{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2009:A5I7HS4K7BWQVLIEFVIQ64SSWR","short_pith_number":"pith:A5I7HS4K","schema_version":"1.0","canonical_sha256":"0751f3cb8af86d0aad042d510f7252b47d58eaea00afda937fb05a3b1c2ba578","source":{"kind":"arxiv","id":"0903.2817","version":1},"attestation_state":"computed","paper":{"title":"Inhomogeneous Diophantine approximation on planar curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Robert C. Vaughan, Sanju Velani, Victor Beresnevich","submitted_at":"2009-03-16T18:05:18Z","abstract_excerpt":"The inhomogeneous metric theory for the set of simultaneously $\\psi$-approximable points lying on a planar curve is developed. Our results naturally incorporate the homogeneous Khintchine-Jarnik type theorems recently established in [Ann. of Math. (2), 166 (2007), pp. 367-426] and [Invent. Math., 166 (2006), pp. 103-124]. The key lies in obtaining essentially the best possible results regarding the distribution of `shifted' rational points near planar curves."},"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":"0903.2817","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2009-03-16T18:05:18Z","cross_cats_sorted":[],"title_canon_sha256":"adabb07d1873d36883d3f57639419cedeb2b55f23d2302ccb3e1defb9ecec77b","abstract_canon_sha256":"89f5e1e55789069de086f1cbb054b3abe86f787b0f77cfff48ebf3531f08c666"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:18:00.723922Z","signature_b64":"phrXEfRdIC+13Z5LBhNAGI0sHNbf5gDIeylOgauPLiqJqhj/72Gq425Xcp3K08fomTgLZ9jfJpqwbtZCR4AgCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0751f3cb8af86d0aad042d510f7252b47d58eaea00afda937fb05a3b1c2ba578","last_reissued_at":"2026-05-18T01:18:00.723177Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:18:00.723177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Inhomogeneous Diophantine approximation on planar curves","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Robert C. Vaughan, Sanju Velani, Victor Beresnevich","submitted_at":"2009-03-16T18:05:18Z","abstract_excerpt":"The inhomogeneous metric theory for the set of simultaneously $\\psi$-approximable points lying on a planar curve is developed. Our results naturally incorporate the homogeneous Khintchine-Jarnik type theorems recently established in [Ann. of Math. (2), 166 (2007), pp. 367-426] and [Invent. Math., 166 (2006), pp. 103-124]. The key lies in obtaining essentially the best possible results regarding the distribution of `shifted' rational points near planar curves."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0903.2817","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":"0903.2817","created_at":"2026-05-18T01:18:00.723309+00:00"},{"alias_kind":"arxiv_version","alias_value":"0903.2817v1","created_at":"2026-05-18T01:18:00.723309+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0903.2817","created_at":"2026-05-18T01:18:00.723309+00:00"},{"alias_kind":"pith_short_12","alias_value":"A5I7HS4K7BWQ","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_16","alias_value":"A5I7HS4K7BWQVLIE","created_at":"2026-05-18T12:25:58.837520+00:00"},{"alias_kind":"pith_short_8","alias_value":"A5I7HS4K","created_at":"2026-05-18T12:25:58.837520+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/A5I7HS4K7BWQVLIEFVIQ64SSWR","json":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR.json","graph_json":"https://pith.science/api/pith-number/A5I7HS4K7BWQVLIEFVIQ64SSWR/graph.json","events_json":"https://pith.science/api/pith-number/A5I7HS4K7BWQVLIEFVIQ64SSWR/events.json","paper":"https://pith.science/paper/A5I7HS4K"},"agent_actions":{"view_html":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR","download_json":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR.json","view_paper":"https://pith.science/paper/A5I7HS4K","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=0903.2817&json=true","fetch_graph":"https://pith.science/api/pith-number/A5I7HS4K7BWQVLIEFVIQ64SSWR/graph.json","fetch_events":"https://pith.science/api/pith-number/A5I7HS4K7BWQVLIEFVIQ64SSWR/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR/action/timestamp_anchor","attest_storage":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR/action/storage_attestation","attest_author":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR/action/author_attestation","sign_citation":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR/action/citation_signature","submit_replication":"https://pith.science/pith/A5I7HS4K7BWQVLIEFVIQ64SSWR/action/replication_record"}},"created_at":"2026-05-18T01:18:00.723309+00:00","updated_at":"2026-05-18T01:18:00.723309+00:00"}