{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:WET3BHKXR6QAKVQ3QGVOACQWVP","short_pith_number":"pith:WET3BHKX","schema_version":"1.0","canonical_sha256":"b127b09d578fa005561b81aae00a16abe8bf5925684a69592a8dcb3e514947fc","source":{"kind":"arxiv","id":"1612.06567","version":1},"attestation_state":"computed","paper":{"title":"Notes on the boundaries of quadrature domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kaushal Verma","submitted_at":"2016-12-20T09:43:21Z","abstract_excerpt":"We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Exploiting this connection provides a new framework to recover several basic properties of such domains, namely the algebraicity of their boundary, a better understanding of the associated defining polynomial and the possible boundary singularities that can occur."},"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":"1612.06567","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CV","submitted_at":"2016-12-20T09:43:21Z","cross_cats_sorted":[],"title_canon_sha256":"e921a25cc6781dec2e6c176c7b362fc238d217ba2ea4dae11441cdcf3a1b52e6","abstract_canon_sha256":"ad715438f08cc5d69a3ace10b6d4f8d7ae735c3d024245f66651d25bbc0f9f80"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:25.404576Z","signature_b64":"OXk3ve4OmVYN3pCuVeQCQxjEAFxRplJjYh6sXy6uM/vSMKztJ4QJxWHwsq92xuHP0jw+B8GQeMVIzWLm14HUAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b127b09d578fa005561b81aae00a16abe8bf5925684a69592a8dcb3e514947fc","last_reissued_at":"2026-05-18T00:54:25.403880Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:25.403880Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Notes on the boundaries of quadrature domains","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CV","authors_text":"Kaushal Verma","submitted_at":"2016-12-20T09:43:21Z","abstract_excerpt":"We highlight an intrinsic connection between classical quadrature domains and the well-studied theme of removable singularities of analytic sets in several complex variables. Exploiting this connection provides a new framework to recover several basic properties of such domains, namely the algebraicity of their boundary, a better understanding of the associated defining polynomial and the possible boundary singularities that can occur."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.06567","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":"1612.06567","created_at":"2026-05-18T00:54:25.403984+00:00"},{"alias_kind":"arxiv_version","alias_value":"1612.06567v1","created_at":"2026-05-18T00:54:25.403984+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.06567","created_at":"2026-05-18T00:54:25.403984+00:00"},{"alias_kind":"pith_short_12","alias_value":"WET3BHKXR6QA","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_16","alias_value":"WET3BHKXR6QAKVQ3","created_at":"2026-05-18T12:30:48.956258+00:00"},{"alias_kind":"pith_short_8","alias_value":"WET3BHKX","created_at":"2026-05-18T12:30:48.956258+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/WET3BHKXR6QAKVQ3QGVOACQWVP","json":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP.json","graph_json":"https://pith.science/api/pith-number/WET3BHKXR6QAKVQ3QGVOACQWVP/graph.json","events_json":"https://pith.science/api/pith-number/WET3BHKXR6QAKVQ3QGVOACQWVP/events.json","paper":"https://pith.science/paper/WET3BHKX"},"agent_actions":{"view_html":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP","download_json":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP.json","view_paper":"https://pith.science/paper/WET3BHKX","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1612.06567&json=true","fetch_graph":"https://pith.science/api/pith-number/WET3BHKXR6QAKVQ3QGVOACQWVP/graph.json","fetch_events":"https://pith.science/api/pith-number/WET3BHKXR6QAKVQ3QGVOACQWVP/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP/action/timestamp_anchor","attest_storage":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP/action/storage_attestation","attest_author":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP/action/author_attestation","sign_citation":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP/action/citation_signature","submit_replication":"https://pith.science/pith/WET3BHKXR6QAKVQ3QGVOACQWVP/action/replication_record"}},"created_at":"2026-05-18T00:54:25.403984+00:00","updated_at":"2026-05-18T00:54:25.403984+00:00"}