{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2018:6PENOU7573NMGXKXBNCNNPIQOO","short_pith_number":"pith:6PENOU75","schema_version":"1.0","canonical_sha256":"f3c8d753fdfedac35d570b44d6bd1073962f5f8e0c65d56a64ae031c196a7415","source":{"kind":"arxiv","id":"1810.02394","version":1},"attestation_state":"computed","paper":{"title":"On the estimates of the Dunkl Kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Abdessalem Gasmi, B\\'echir Amri","submitted_at":"2018-10-04T19:13:51Z","abstract_excerpt":"In this paper, we are interested in the estimates of the Dunkl Kernel on some special sets, following the work of M.F.E. de Jeu and M. R\\\"{o}sler in \\cite{R3}."},"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":"1810.02394","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-10-04T19:13:51Z","cross_cats_sorted":[],"title_canon_sha256":"25cb3f80cded78eb23b3e5098fdf203b505c8bd917020487746b03003029b09c","abstract_canon_sha256":"233c8b9826f17d668f20ff5886dce1b496410f80bdccaa5e14ddcf53888f6b79"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:02.011536Z","signature_b64":"Ue4tXMie/FH4bfQvawpbYwb7+sbCWCmO4H2Aaoy4Jcaz4O+oQM7ui7ehJAy72BKU4j1PTludwm+AybFLXa8FAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3c8d753fdfedac35d570b44d6bd1073962f5f8e0c65d56a64ae031c196a7415","last_reissued_at":"2026-05-18T00:04:02.010906Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:02.010906Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"On the estimates of the Dunkl Kernel","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Abdessalem Gasmi, B\\'echir Amri","submitted_at":"2018-10-04T19:13:51Z","abstract_excerpt":"In this paper, we are interested in the estimates of the Dunkl Kernel on some special sets, following the work of M.F.E. de Jeu and M. R\\\"{o}sler in \\cite{R3}."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02394","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":"1810.02394","created_at":"2026-05-18T00:04:02.011000+00:00"},{"alias_kind":"arxiv_version","alias_value":"1810.02394v1","created_at":"2026-05-18T00:04:02.011000+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02394","created_at":"2026-05-18T00:04:02.011000+00:00"},{"alias_kind":"pith_short_12","alias_value":"6PENOU7573NM","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_16","alias_value":"6PENOU7573NMGXKX","created_at":"2026-05-18T12:32:11.075285+00:00"},{"alias_kind":"pith_short_8","alias_value":"6PENOU75","created_at":"2026-05-18T12:32:11.075285+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/6PENOU7573NMGXKXBNCNNPIQOO","json":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO.json","graph_json":"https://pith.science/api/pith-number/6PENOU7573NMGXKXBNCNNPIQOO/graph.json","events_json":"https://pith.science/api/pith-number/6PENOU7573NMGXKXBNCNNPIQOO/events.json","paper":"https://pith.science/paper/6PENOU75"},"agent_actions":{"view_html":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO","download_json":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO.json","view_paper":"https://pith.science/paper/6PENOU75","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1810.02394&json=true","fetch_graph":"https://pith.science/api/pith-number/6PENOU7573NMGXKXBNCNNPIQOO/graph.json","fetch_events":"https://pith.science/api/pith-number/6PENOU7573NMGXKXBNCNNPIQOO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO/action/storage_attestation","attest_author":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO/action/author_attestation","sign_citation":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO/action/citation_signature","submit_replication":"https://pith.science/pith/6PENOU7573NMGXKXBNCNNPIQOO/action/replication_record"}},"created_at":"2026-05-18T00:04:02.011000+00:00","updated_at":"2026-05-18T00:04:02.011000+00:00"}