{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:DYVPHFAUQ24V4UMLJCL4M3VQ2J","short_pith_number":"pith:DYVPHFAU","canonical_record":{"source":{"id":"1803.00789","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-02T10:18:02Z","cross_cats_sorted":[],"title_canon_sha256":"97c880d28570ae52d7786261e616790de7860526ca738cb163a433ac2db69939","abstract_canon_sha256":"b619bdcf85189ce4a021ea0457992e8541b1b7fa72449a694129f2bdcb904dc5"},"schema_version":"1.0"},"canonical_sha256":"1e2af3941486b95e518b4897c66eb0d26c3d49771c97e38c66c1cf9063ae71d4","source":{"kind":"arxiv","id":"1803.00789","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00789","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00789v1","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00789","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"DYVPHFAUQ24V","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DYVPHFAUQ24V4UML","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DYVPHFAU","created_at":"2026-05-18T12:32:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:DYVPHFAUQ24V4UMLJCL4M3VQ2J","target":"record","payload":{"canonical_record":{"source":{"id":"1803.00789","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-02T10:18:02Z","cross_cats_sorted":[],"title_canon_sha256":"97c880d28570ae52d7786261e616790de7860526ca738cb163a433ac2db69939","abstract_canon_sha256":"b619bdcf85189ce4a021ea0457992e8541b1b7fa72449a694129f2bdcb904dc5"},"schema_version":"1.0"},"canonical_sha256":"1e2af3941486b95e518b4897c66eb0d26c3d49771c97e38c66c1cf9063ae71d4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:22:07.880353Z","signature_b64":"o+ysIPtVvj8snarx6Ds1hPVypnrms4ldZIJpEEBTjkdvW9EZrbb3+4BqZqKNOdA5IAoFthHK4RhgY8UEENTJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1e2af3941486b95e518b4897c66eb0d26c3d49771c97e38c66c1cf9063ae71d4","last_reissued_at":"2026-05-18T00:22:07.879665Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:22:07.879665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.00789","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"v2zQbYbPPga4wTOjFfA4Lfa/Hp8LS25pyqgkVLuYamSp2PwvQSbtZnTMoTQikjLBD0Nj70KqzBsKA+iO1qANCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:31:40.815265Z"},"content_sha256":"0fc17805073231812bc4a04589fd7fd7061b33d903a7301072ac64e142ba6c4a","schema_version":"1.0","event_id":"sha256:0fc17805073231812bc4a04589fd7fd7061b33d903a7301072ac64e142ba6c4a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:DYVPHFAUQ24V4UMLJCL4M3VQ2J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bellman Functions and Dimension Free $L^p$estimates for the Riesz Transforms in Bessel settings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CA","authors_text":"Estefan\\'ia Dalmasso, Jorge J. Betancor, Juan C. Fari\\~na, Roberto Scotto","submitted_at":"2018-03-02T10:18:02Z","abstract_excerpt":"In this article we prove dimension free $L^p$-boundedness of Riesz transforms associated with a Bessel diferential operator. We obtain explicit estimates of the $L^p$-norms for the Bessel-Riesz transforms in terms of p, establishing a linear behaviour with respect to p. We use the Bellman function technique to prove a bilinear dimension free inequality involving Poisson semigroups defined through this Bessel operator."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00789","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:22:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lr8z6Su//2Xb1vVXBuKgoCgm94er0vwrxFNHS4FtcflnCNc37+UwIVzvpiENYZPQ9/Vq0T8M2jMaCvoAszRTCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-12T08:31:40.815638Z"},"content_sha256":"607a9c9f7ef6518edc13646336795e7a6d049e796c9833a10d69304a3aac3ec0","schema_version":"1.0","event_id":"sha256:607a9c9f7ef6518edc13646336795e7a6d049e796c9833a10d69304a3aac3ec0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J/bundle.json","state_url":"https://pith.science/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-12T08:31:40Z","links":{"resolver":"https://pith.science/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J","bundle":"https://pith.science/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J/bundle.json","state":"https://pith.science/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DYVPHFAUQ24V4UMLJCL4M3VQ2J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:DYVPHFAUQ24V4UMLJCL4M3VQ2J","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"b619bdcf85189ce4a021ea0457992e8541b1b7fa72449a694129f2bdcb904dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-02T10:18:02Z","title_canon_sha256":"97c880d28570ae52d7786261e616790de7860526ca738cb163a433ac2db69939"},"schema_version":"1.0","source":{"id":"1803.00789","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00789","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00789v1","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00789","created_at":"2026-05-18T00:22:07Z"},{"alias_kind":"pith_short_12","alias_value":"DYVPHFAUQ24V","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_16","alias_value":"DYVPHFAUQ24V4UML","created_at":"2026-05-18T12:32:19Z"},{"alias_kind":"pith_short_8","alias_value":"DYVPHFAU","created_at":"2026-05-18T12:32:19Z"}],"graph_snapshots":[{"event_id":"sha256:607a9c9f7ef6518edc13646336795e7a6d049e796c9833a10d69304a3aac3ec0","target":"graph","created_at":"2026-05-18T00:22:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"In this article we prove dimension free $L^p$-boundedness of Riesz transforms associated with a Bessel diferential operator. We obtain explicit estimates of the $L^p$-norms for the Bessel-Riesz transforms in terms of p, establishing a linear behaviour with respect to p. We use the Bellman function technique to prove a bilinear dimension free inequality involving Poisson semigroups defined through this Bessel operator.","authors_text":"Estefan\\'ia Dalmasso, Jorge J. Betancor, Juan C. Fari\\~na, Roberto Scotto","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-02T10:18:02Z","title":"Bellman Functions and Dimension Free $L^p$estimates for the Riesz Transforms in Bessel settings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00789","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:0fc17805073231812bc4a04589fd7fd7061b33d903a7301072ac64e142ba6c4a","target":"record","created_at":"2026-05-18T00:22:07Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"b619bdcf85189ce4a021ea0457992e8541b1b7fa72449a694129f2bdcb904dc5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2018-03-02T10:18:02Z","title_canon_sha256":"97c880d28570ae52d7786261e616790de7860526ca738cb163a433ac2db69939"},"schema_version":"1.0","source":{"id":"1803.00789","kind":"arxiv","version":1}},"canonical_sha256":"1e2af3941486b95e518b4897c66eb0d26c3d49771c97e38c66c1cf9063ae71d4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e2af3941486b95e518b4897c66eb0d26c3d49771c97e38c66c1cf9063ae71d4","first_computed_at":"2026-05-18T00:22:07.879665Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:07.879665Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"o+ysIPtVvj8snarx6Ds1hPVypnrms4ldZIJpEEBTjkdvW9EZrbb3+4BqZqKNOdA5IAoFthHK4RhgY8UEENTJAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:07.880353Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00789","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0fc17805073231812bc4a04589fd7fd7061b33d903a7301072ac64e142ba6c4a","sha256:607a9c9f7ef6518edc13646336795e7a6d049e796c9833a10d69304a3aac3ec0"],"state_sha256":"8c07062c15dd539ef272f47b21f54bf84978a7789cfd76cdc1546e2bab76f3c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MXn5on366CSaZBVccZ7SbxKxFCOJpKKS/kbD339lKPuDzGTX3cmBGHp4WWLSUN3ZpAGzW76XmL8KacflDrWlCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-12T08:31:40.817628Z","bundle_sha256":"ca8d5ed282a02cc60dc6ca4401869898dd12faf28cf11b7e367440bd69fb413e"}}