{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2012:DTJREES6JOFDNXLVVDNHXKY7BX","short_pith_number":"pith:DTJREES6","schema_version":"1.0","canonical_sha256":"1cd312125e4b8a36dd75a8da7bab1f0dc80d973a577d1641892cc52b2a84fc74","source":{"kind":"arxiv","id":"1208.5199","version":2},"attestation_state":"computed","paper":{"title":"Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Adam Nowak, Luz Roncal","submitted_at":"2012-08-26T07:54:58Z","abstract_excerpt":"The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimates of this kernel. Our method relies on establishing a connection with a situation of expansions based on Jacobi polynomials and then transferring known sharp bounds for the related Jacobi heat kernel."},"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":"1208.5199","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2012-08-26T07:54:58Z","cross_cats_sorted":[],"title_canon_sha256":"39da073d48dd4284b067a28bd6a5f11ae5201176021c4422f8dab0450ed512aa","abstract_canon_sha256":"239657be1be17e13428b9b7826809991c3e630893ff2890ff4c195f45453f90b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:59:30.705088Z","signature_b64":"AZNwvdXfchWqUmnrZJVYiI0ELx9yLXQZraq2WcesRT5o+XKWLxdUsGVzQ+1aulFUkcDNFQfiVq1DkEYuEzIlAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1cd312125e4b8a36dd75a8da7bab1f0dc80d973a577d1641892cc52b2a84fc74","last_reissued_at":"2026-05-18T02:59:30.704375Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:59:30.704375Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sharp heat kernel estimates in the Fourier-Bessel setting for a continuous range of the type parameter","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Adam Nowak, Luz Roncal","submitted_at":"2012-08-26T07:54:58Z","abstract_excerpt":"The heat kernel in the setting of classical Fourier-Bessel expansions is defined by an oscillatory series which cannot be computed explicitly. We prove qualitatively sharp estimates of this kernel. Our method relies on establishing a connection with a situation of expansions based on Jacobi polynomials and then transferring known sharp bounds for the related Jacobi heat kernel."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1208.5199","kind":"arxiv","version":2},"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":"1208.5199","created_at":"2026-05-18T02:59:30.704487+00:00"},{"alias_kind":"arxiv_version","alias_value":"1208.5199v2","created_at":"2026-05-18T02:59:30.704487+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1208.5199","created_at":"2026-05-18T02:59:30.704487+00:00"},{"alias_kind":"pith_short_12","alias_value":"DTJREES6JOFD","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_16","alias_value":"DTJREES6JOFDNXLV","created_at":"2026-05-18T12:27:04.183437+00:00"},{"alias_kind":"pith_short_8","alias_value":"DTJREES6","created_at":"2026-05-18T12:27:04.183437+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/DTJREES6JOFDNXLVVDNHXKY7BX","json":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX.json","graph_json":"https://pith.science/api/pith-number/DTJREES6JOFDNXLVVDNHXKY7BX/graph.json","events_json":"https://pith.science/api/pith-number/DTJREES6JOFDNXLVVDNHXKY7BX/events.json","paper":"https://pith.science/paper/DTJREES6"},"agent_actions":{"view_html":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX","download_json":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX.json","view_paper":"https://pith.science/paper/DTJREES6","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1208.5199&json=true","fetch_graph":"https://pith.science/api/pith-number/DTJREES6JOFDNXLVVDNHXKY7BX/graph.json","fetch_events":"https://pith.science/api/pith-number/DTJREES6JOFDNXLVVDNHXKY7BX/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX/action/timestamp_anchor","attest_storage":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX/action/storage_attestation","attest_author":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX/action/author_attestation","sign_citation":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX/action/citation_signature","submit_replication":"https://pith.science/pith/DTJREES6JOFDNXLVVDNHXKY7BX/action/replication_record"}},"created_at":"2026-05-18T02:59:30.704487+00:00","updated_at":"2026-05-18T02:59:30.704487+00:00"}