{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:5L6FRJBU2S5W7O5W6CS3QOUBC6","short_pith_number":"pith:5L6FRJBU","schema_version":"1.0","canonical_sha256":"eafc58a434d4bb6fbbb6f0a5b83a8117982b8b9a2c78afb843fea94a90eb542a","source":{"kind":"arxiv","id":"1506.07425","version":8},"attestation_state":"computed","paper":{"title":"Heisenberg uniqueness pairs for some algebraic curves in the plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Deb Kumar Giri, R. K. Srivastava","submitted_at":"2015-06-24T15:40:23Z","abstract_excerpt":"A Heisenberg uniqueness pair is a pair $\\left(\\Gamma, \\Lambda\\right)$, where $\\Gamma$ is a curve and $\\Lambda$ is a set in $\\mathbb R^2$ such that whenever a finite Borel measure $\\mu$ having support on $\\Gamma$ which is absolutely continuous with respect to the arc length on $\\Gamma$ satisfies $\\hat\\mu\\vert_\\Lambda=0,$ then it is identically $0.$ In this article, we investigate the Heisenberg uniqueness pairs corresponding to the spiral, hyperbola, circle and certain exponential curves. Further, we work out a characterization of the Heisenberg uniqueness pairs corresponding to four parallel l"},"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":"1506.07425","kind":"arxiv","version":8},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2015-06-24T15:40:23Z","cross_cats_sorted":["math.FA"],"title_canon_sha256":"0f99a8cac5ea72c7cb2f67e8212561c4d235a2cc7ad27e6da6e13bebd3211571","abstract_canon_sha256":"99ca91199423b411b537570a0f8de267673cd09d38844e8467c225773986608a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:03.398578Z","signature_b64":"HJurFT1vgLbEyyJBIojvNHIsL0O/x1WDtcGyrUaHNO3z/gdSHBRotYTaQTkBt9Vv7rxx6N69vw8xBP1wlwWZAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eafc58a434d4bb6fbbb6f0a5b83a8117982b8b9a2c78afb843fea94a90eb542a","last_reissued_at":"2026-05-18T00:51:03.397949Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:03.397949Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Heisenberg uniqueness pairs for some algebraic curves in the plane","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA"],"primary_cat":"math.CA","authors_text":"Deb Kumar Giri, R. K. Srivastava","submitted_at":"2015-06-24T15:40:23Z","abstract_excerpt":"A Heisenberg uniqueness pair is a pair $\\left(\\Gamma, \\Lambda\\right)$, where $\\Gamma$ is a curve and $\\Lambda$ is a set in $\\mathbb R^2$ such that whenever a finite Borel measure $\\mu$ having support on $\\Gamma$ which is absolutely continuous with respect to the arc length on $\\Gamma$ satisfies $\\hat\\mu\\vert_\\Lambda=0,$ then it is identically $0.$ In this article, we investigate the Heisenberg uniqueness pairs corresponding to the spiral, hyperbola, circle and certain exponential curves. Further, we work out a characterization of the Heisenberg uniqueness pairs corresponding to four parallel l"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.07425","kind":"arxiv","version":8},"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":"1506.07425","created_at":"2026-05-18T00:51:03.398026+00:00"},{"alias_kind":"arxiv_version","alias_value":"1506.07425v8","created_at":"2026-05-18T00:51:03.398026+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.07425","created_at":"2026-05-18T00:51:03.398026+00:00"},{"alias_kind":"pith_short_12","alias_value":"5L6FRJBU2S5W","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_16","alias_value":"5L6FRJBU2S5W7O5W","created_at":"2026-05-18T12:29:05.191682+00:00"},{"alias_kind":"pith_short_8","alias_value":"5L6FRJBU","created_at":"2026-05-18T12:29:05.191682+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/5L6FRJBU2S5W7O5W6CS3QOUBC6","json":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6.json","graph_json":"https://pith.science/api/pith-number/5L6FRJBU2S5W7O5W6CS3QOUBC6/graph.json","events_json":"https://pith.science/api/pith-number/5L6FRJBU2S5W7O5W6CS3QOUBC6/events.json","paper":"https://pith.science/paper/5L6FRJBU"},"agent_actions":{"view_html":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6","download_json":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6.json","view_paper":"https://pith.science/paper/5L6FRJBU","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1506.07425&json=true","fetch_graph":"https://pith.science/api/pith-number/5L6FRJBU2S5W7O5W6CS3QOUBC6/graph.json","fetch_events":"https://pith.science/api/pith-number/5L6FRJBU2S5W7O5W6CS3QOUBC6/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6/action/timestamp_anchor","attest_storage":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6/action/storage_attestation","attest_author":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6/action/author_attestation","sign_citation":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6/action/citation_signature","submit_replication":"https://pith.science/pith/5L6FRJBU2S5W7O5W6CS3QOUBC6/action/replication_record"}},"created_at":"2026-05-18T00:51:03.398026+00:00","updated_at":"2026-05-18T00:51:03.398026+00:00"}