{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:BXME3X2PD57O2FN6I4PPDE43NP","short_pith_number":"pith:BXME3X2P","schema_version":"1.0","canonical_sha256":"0dd84ddf4f1f7eed15be471ef1939b6bf30a6d6b8d9522b6b6193bc48aca4dd4","source":{"kind":"arxiv","id":"1309.7060","version":4},"attestation_state":"computed","paper":{"title":"Asymptotic Properties of Unbounded Quadrature Domains in the Plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Lavi Karp","submitted_at":"2013-09-26T20:02:05Z","abstract_excerpt":"We prove that if $\\Omega$ is a simply connected quadrature domain for a distribution with compact support and the infinity point belongs the boundary, then the boundary has an asymptotic curve that is either a straight line or a parabola or an infinite ray. In other words, unbounded quadrature domains in the plane are perturbations of null quadrature domains."},"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":"1309.7060","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2013-09-26T20:02:05Z","cross_cats_sorted":[],"title_canon_sha256":"d81eed8aa4765aa98b01603470ca36c2cceb3951fc88f3f008101dfb8bf2bf2f","abstract_canon_sha256":"6e4708d8b56085f9456b9c812200105eb229f32ed20fdc6f0fc2ca1bc6cf4434"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:59.541613Z","signature_b64":"qY9ANci29zjvtBMgS5sz1C6jGimXwb1nJ9GWhmCtJOKiJJxyWOO/kQorqS0N1LQ22WQp5P4bqnXbp78uD/3vDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0dd84ddf4f1f7eed15be471ef1939b6bf30a6d6b8d9522b6b6193bc48aca4dd4","last_reissued_at":"2026-05-18T02:38:59.541233Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:59.541233Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Asymptotic Properties of Unbounded Quadrature Domains in the Plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Lavi Karp","submitted_at":"2013-09-26T20:02:05Z","abstract_excerpt":"We prove that if $\\Omega$ is a simply connected quadrature domain for a distribution with compact support and the infinity point belongs the boundary, then the boundary has an asymptotic curve that is either a straight line or a parabola or an infinite ray. In other words, unbounded quadrature domains in the plane are perturbations of null quadrature domains."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7060","kind":"arxiv","version":4},"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":"1309.7060","created_at":"2026-05-18T02:38:59.541287+00:00"},{"alias_kind":"arxiv_version","alias_value":"1309.7060v4","created_at":"2026-05-18T02:38:59.541287+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7060","created_at":"2026-05-18T02:38:59.541287+00:00"},{"alias_kind":"pith_short_12","alias_value":"BXME3X2PD57O","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_16","alias_value":"BXME3X2PD57O2FN6","created_at":"2026-05-18T12:27:40.988391+00:00"},{"alias_kind":"pith_short_8","alias_value":"BXME3X2P","created_at":"2026-05-18T12:27:40.988391+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/BXME3X2PD57O2FN6I4PPDE43NP","json":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP.json","graph_json":"https://pith.science/api/pith-number/BXME3X2PD57O2FN6I4PPDE43NP/graph.json","events_json":"https://pith.science/api/pith-number/BXME3X2PD57O2FN6I4PPDE43NP/events.json","paper":"https://pith.science/paper/BXME3X2P"},"agent_actions":{"view_html":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP","download_json":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP.json","view_paper":"https://pith.science/paper/BXME3X2P","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1309.7060&json=true","fetch_graph":"https://pith.science/api/pith-number/BXME3X2PD57O2FN6I4PPDE43NP/graph.json","fetch_events":"https://pith.science/api/pith-number/BXME3X2PD57O2FN6I4PPDE43NP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP/action/storage_attestation","attest_author":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP/action/author_attestation","sign_citation":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP/action/citation_signature","submit_replication":"https://pith.science/pith/BXME3X2PD57O2FN6I4PPDE43NP/action/replication_record"}},"created_at":"2026-05-18T02:38:59.541287+00:00","updated_at":"2026-05-18T02:38:59.541287+00:00"}