{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:IIIYNRM3YD4N73LLW3WONN3JGY","short_pith_number":"pith:IIIYNRM3","schema_version":"1.0","canonical_sha256":"421186c59bc0f8dfed6bb6ece6b7693621accb2f2b8894a8641c8efb24a0bf51","source":{"kind":"arxiv","id":"1810.06614","version":6},"attestation_state":"computed","paper":{"title":"A Support Characterization for Functions on the Unit Sphere with Vanishing Integrals Arising from Tangent Planes to a Given Surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yehonatan Salman","submitted_at":"2018-10-15T19:00:08Z","abstract_excerpt":"Let $\\Sigma$ be an axially symmetric, smooth, closed hypersurface in $\\Bbb R^{n + 1}$ with a simply connected interior which is contained inside the unit sphere $\\Bbb S^{n}$. For a continuous function $f$, which is defined on $\\Bbb S^{n}$, the main goal of this paper is to characterize the support of $f$ in case where its integrals vanish on subspheres obtained by intersecting $\\Bbb S^{n}$ with the tangent hyperplanes of a certain subdomain $\\mathcal{U}\\subset\\Sigma$ of $\\Sigma$. We show that the support of $f$ can be characterized in case where its integrals also vanish on subspheres obtained"},"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":"1810.06614","kind":"arxiv","version":6},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-10-15T19:00:08Z","cross_cats_sorted":[],"title_canon_sha256":"8ce8c3975bcc774b63ffab969c6a2a5c7b46b99c1f3eab3df91783f117d892d8","abstract_canon_sha256":"1b098d6ecaa7d0eb644afa7424fdbdd2dbb14282bf20bbafa58b1b7c71c81708"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:45:09.500292Z","signature_b64":"WqakX0WcR+IERytSsbepZlRuz6mqwBXbQpSNYjX2wSYpv677zh9n9wY8wYbxcdJUEcDpLY6BwyLs00r0Z5ddAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"421186c59bc0f8dfed6bb6ece6b7693621accb2f2b8894a8641c8efb24a0bf51","last_reissued_at":"2026-05-17T23:45:09.499591Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:45:09.499591Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A Support Characterization for Functions on the Unit Sphere with Vanishing Integrals Arising from Tangent Planes to a Given Surface","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Yehonatan Salman","submitted_at":"2018-10-15T19:00:08Z","abstract_excerpt":"Let $\\Sigma$ be an axially symmetric, smooth, closed hypersurface in $\\Bbb R^{n + 1}$ with a simply connected interior which is contained inside the unit sphere $\\Bbb S^{n}$. For a continuous function $f$, which is defined on $\\Bbb S^{n}$, the main goal of this paper is to characterize the support of $f$ in case where its integrals vanish on subspheres obtained by intersecting $\\Bbb S^{n}$ with the tangent hyperplanes of a certain subdomain $\\mathcal{U}\\subset\\Sigma$ of $\\Sigma$. We show that the support of $f$ can be characterized in case where its integrals also vanish on subspheres obtained"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.06614","kind":"arxiv","version":6},"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":"1810.06614","created_at":"2026-05-17T23:45:09.499689+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.06614v6","created_at":"2026-05-17T23:45:09.499689+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.06614","created_at":"2026-05-17T23:45:09.499689+00:00"},{"alias_kind":"pith_short_12","alias_value":"IIIYNRM3YD4N","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_16","alias_value":"IIIYNRM3YD4N73LL","created_at":"2026-05-18T12:32:31.084164+00:00"},{"alias_kind":"pith_short_8","alias_value":"IIIYNRM3","created_at":"2026-05-18T12:32:31.084164+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/IIIYNRM3YD4N73LLW3WONN3JGY","json":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY.json","graph_json":"https://pith.science/api/pith-number/IIIYNRM3YD4N73LLW3WONN3JGY/graph.json","events_json":"https://pith.science/api/pith-number/IIIYNRM3YD4N73LLW3WONN3JGY/events.json","paper":"https://pith.science/paper/IIIYNRM3"},"agent_actions":{"view_html":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY","download_json":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY.json","view_paper":"https://pith.science/paper/IIIYNRM3","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.06614&json=true","fetch_graph":"https://pith.science/api/pith-number/IIIYNRM3YD4N73LLW3WONN3JGY/graph.json","fetch_events":"https://pith.science/api/pith-number/IIIYNRM3YD4N73LLW3WONN3JGY/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY/action/timestamp_anchor","attest_storage":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY/action/storage_attestation","attest_author":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY/action/author_attestation","sign_citation":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY/action/citation_signature","submit_replication":"https://pith.science/pith/IIIYNRM3YD4N73LLW3WONN3JGY/action/replication_record"}},"created_at":"2026-05-17T23:45:09.499689+00:00","updated_at":"2026-05-17T23:45:09.499689+00:00"}