{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:2GTF2JK6WK44UOAAMXY5R4JRKT","short_pith_number":"pith:2GTF2JK6","schema_version":"1.0","canonical_sha256":"d1a65d255eb2b9ca380065f1d8f13154e683a0d73ea31d12f7d470ccf39c699e","source":{"kind":"arxiv","id":"1205.1193","version":1},"attestation_state":"computed","paper":{"title":"End point estimates for Radon transform of radial functions on Non-Euclidean spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ashisha Kumar, Swagato K.Ray","submitted_at":"2012-05-06T08:54:18Z","abstract_excerpt":"We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space.\n  We also discuss analogs of these results on the sphere."},"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":"1205.1193","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2012-05-06T08:54:18Z","cross_cats_sorted":[],"title_canon_sha256":"20c840414184f8176b90bdf04bb80857ddaf367460f2c1c6da6ff1a06e8b3491","abstract_canon_sha256":"a6ca4e72d962fcbe897c347adbd9b5a61cb1cfcdc6dfe3783132baf39ee5d2da"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:56:11.858963Z","signature_b64":"hoWACYmAH2vFaqsYN4TsgUasOlrCda1i2PuHRTP1uBo2ywDKLf5KnCK5tC5QWc73oJLawNq+HT5Spa8KlxVVBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d1a65d255eb2b9ca380065f1d8f13154e683a0d73ea31d12f7d470ccf39c699e","last_reissued_at":"2026-05-18T03:56:11.858368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:56:11.858368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"End point estimates for Radon transform of radial functions on Non-Euclidean spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Ashisha Kumar, Swagato K.Ray","submitted_at":"2012-05-06T08:54:18Z","abstract_excerpt":"We prove end point estimate for Radon transform of radial functions on affine Grasamannian and real hyperbolic space.\n  We also discuss analogs of these results on the sphere."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.1193","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":"1205.1193","created_at":"2026-05-18T03:56:11.858457+00:00"},{"alias_kind":"arxiv_version","alias_value":"1205.1193v1","created_at":"2026-05-18T03:56:11.858457+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1205.1193","created_at":"2026-05-18T03:56:11.858457+00:00"},{"alias_kind":"pith_short_12","alias_value":"2GTF2JK6WK44","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_16","alias_value":"2GTF2JK6WK44UOAA","created_at":"2026-05-18T12:26:50.516681+00:00"},{"alias_kind":"pith_short_8","alias_value":"2GTF2JK6","created_at":"2026-05-18T12:26:50.516681+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/2GTF2JK6WK44UOAAMXY5R4JRKT","json":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT.json","graph_json":"https://pith.science/api/pith-number/2GTF2JK6WK44UOAAMXY5R4JRKT/graph.json","events_json":"https://pith.science/api/pith-number/2GTF2JK6WK44UOAAMXY5R4JRKT/events.json","paper":"https://pith.science/paper/2GTF2JK6"},"agent_actions":{"view_html":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT","download_json":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT.json","view_paper":"https://pith.science/paper/2GTF2JK6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1205.1193&json=true","fetch_graph":"https://pith.science/api/pith-number/2GTF2JK6WK44UOAAMXY5R4JRKT/graph.json","fetch_events":"https://pith.science/api/pith-number/2GTF2JK6WK44UOAAMXY5R4JRKT/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT/action/timestamp_anchor","attest_storage":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT/action/storage_attestation","attest_author":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT/action/author_attestation","sign_citation":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT/action/citation_signature","submit_replication":"https://pith.science/pith/2GTF2JK6WK44UOAAMXY5R4JRKT/action/replication_record"}},"created_at":"2026-05-18T03:56:11.858457+00:00","updated_at":"2026-05-18T03:56:11.858457+00:00"}