{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:V4DVN4ZQCRFZGUDVUVX3ECV62R","short_pith_number":"pith:V4DVN4ZQ","canonical_record":{"source":{"id":"1407.2475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-09T13:31:39Z","cross_cats_sorted":["math.FA","math.OA"],"title_canon_sha256":"fed15c23f38afaaab2de3cdd13b858a6d3396fdcbf655def51fc73f23b283d63","abstract_canon_sha256":"62df24a412f2d242d33057cbeb8e269511eee06bad50a076cc862abb0c57ee37"},"schema_version":"1.0"},"canonical_sha256":"af0756f330144b935075a56fb20abed47cd50bfcbb25b764503e23f35d1c0b8b","source":{"kind":"arxiv","id":"1407.2475","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2475","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2475v1","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2475","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"pith_short_12","alias_value":"V4DVN4ZQCRFZ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V4DVN4ZQCRFZGUDV","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V4DVN4ZQ","created_at":"2026-05-18T12:28:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:V4DVN4ZQCRFZGUDVUVX3ECV62R","target":"record","payload":{"canonical_record":{"source":{"id":"1407.2475","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-09T13:31:39Z","cross_cats_sorted":["math.FA","math.OA"],"title_canon_sha256":"fed15c23f38afaaab2de3cdd13b858a6d3396fdcbf655def51fc73f23b283d63","abstract_canon_sha256":"62df24a412f2d242d33057cbeb8e269511eee06bad50a076cc862abb0c57ee37"},"schema_version":"1.0"},"canonical_sha256":"af0756f330144b935075a56fb20abed47cd50bfcbb25b764503e23f35d1c0b8b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:48:01.476286Z","signature_b64":"9aQSIs6FOfc1Rmmqdt/+nzcUeC69SH1w9aZKSWdqmuV9WBmd2L84f91wri8WvaTfohVs0ob4J2QB+334Ntt0Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"af0756f330144b935075a56fb20abed47cd50bfcbb25b764503e23f35d1c0b8b","last_reissued_at":"2026-05-18T02:48:01.475852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:48:01.475852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.2475","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":"2026-05-18T02:48:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TrXVqQdQbGxvveDUzOZLCkJ8WyuqSgRfvVhvTwxJBg931Oq7VpnGrxfFFyPyH5LauKZVa+tbkcNDcAM/eKqSCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:30:57.490782Z"},"content_sha256":"0666d5ff9a802167fcf0106fc4a44088e4df899eb6643c2ac353533f3978723a","schema_version":"1.0","event_id":"sha256:0666d5ff9a802167fcf0106fc4a44088e4df899eb6643c2ac353533f3978723a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:V4DVN4ZQCRFZGUDVUVX3ECV62R","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Noncommutative Riesz transforms -- Dimension free bounds and Fourier multipliers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.FA","math.OA"],"primary_cat":"math.CA","authors_text":"Javier Parcet, Marius Junge, Tao Mei","submitted_at":"2014-07-09T13:31:39Z","abstract_excerpt":"We obtain dimension free estimates for noncommutative Riesz transforms associated to conditionally negative length functions on group von Neumann algebras. This includes Poisson semigroups, beyond Bakry's results in the commutative setting. Our proof is inspired by Pisier's method and a new Khintchine inequality for crossed products. New estimates include Riesz transforms associated to fractional laplacians in $\\mathbb{R}^n$ (where Meyer's conjecture fails) or to the word length of free groups. Lust-Piquard's work for discrete laplacians on LCA groups is also generalized in several ways. In th"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2475","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":"2026-05-18T02:48:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vdXxRbh7AL71aeIE/Ip2HrRv5fhYtArk5PNFJUwmOFNR9/vhTZAzjN+8+MJATgzDMEwDn3Hw0+Gcs82i4qw+AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T16:30:57.491511Z"},"content_sha256":"f666f270eeeac889109f801e197521b952e02d0c3a678b6965098b730687f601","schema_version":"1.0","event_id":"sha256:f666f270eeeac889109f801e197521b952e02d0c3a678b6965098b730687f601"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R/bundle.json","state_url":"https://pith.science/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R/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":"2026-05-29T16:30:57Z","links":{"resolver":"https://pith.science/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R","bundle":"https://pith.science/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R/bundle.json","state":"https://pith.science/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V4DVN4ZQCRFZGUDVUVX3ECV62R/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:V4DVN4ZQCRFZGUDVUVX3ECV62R","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":"62df24a412f2d242d33057cbeb8e269511eee06bad50a076cc862abb0c57ee37","cross_cats_sorted":["math.FA","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-09T13:31:39Z","title_canon_sha256":"fed15c23f38afaaab2de3cdd13b858a6d3396fdcbf655def51fc73f23b283d63"},"schema_version":"1.0","source":{"id":"1407.2475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.2475","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"arxiv_version","alias_value":"1407.2475v1","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.2475","created_at":"2026-05-18T02:48:01Z"},{"alias_kind":"pith_short_12","alias_value":"V4DVN4ZQCRFZ","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_16","alias_value":"V4DVN4ZQCRFZGUDV","created_at":"2026-05-18T12:28:52Z"},{"alias_kind":"pith_short_8","alias_value":"V4DVN4ZQ","created_at":"2026-05-18T12:28:52Z"}],"graph_snapshots":[{"event_id":"sha256:f666f270eeeac889109f801e197521b952e02d0c3a678b6965098b730687f601","target":"graph","created_at":"2026-05-18T02:48:01Z","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":"We obtain dimension free estimates for noncommutative Riesz transforms associated to conditionally negative length functions on group von Neumann algebras. This includes Poisson semigroups, beyond Bakry's results in the commutative setting. Our proof is inspired by Pisier's method and a new Khintchine inequality for crossed products. New estimates include Riesz transforms associated to fractional laplacians in $\\mathbb{R}^n$ (where Meyer's conjecture fails) or to the word length of free groups. Lust-Piquard's work for discrete laplacians on LCA groups is also generalized in several ways. In th","authors_text":"Javier Parcet, Marius Junge, Tao Mei","cross_cats":["math.FA","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-09T13:31:39Z","title":"Noncommutative Riesz transforms -- Dimension free bounds and Fourier multipliers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.2475","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":"sha256:0666d5ff9a802167fcf0106fc4a44088e4df899eb6643c2ac353533f3978723a","target":"record","created_at":"2026-05-18T02:48:01Z","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":"62df24a412f2d242d33057cbeb8e269511eee06bad50a076cc862abb0c57ee37","cross_cats_sorted":["math.FA","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CA","submitted_at":"2014-07-09T13:31:39Z","title_canon_sha256":"fed15c23f38afaaab2de3cdd13b858a6d3396fdcbf655def51fc73f23b283d63"},"schema_version":"1.0","source":{"id":"1407.2475","kind":"arxiv","version":1}},"canonical_sha256":"af0756f330144b935075a56fb20abed47cd50bfcbb25b764503e23f35d1c0b8b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"af0756f330144b935075a56fb20abed47cd50bfcbb25b764503e23f35d1c0b8b","first_computed_at":"2026-05-18T02:48:01.475852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:48:01.475852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9aQSIs6FOfc1Rmmqdt/+nzcUeC69SH1w9aZKSWdqmuV9WBmd2L84f91wri8WvaTfohVs0ob4J2QB+334Ntt0Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:48:01.476286Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.2475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0666d5ff9a802167fcf0106fc4a44088e4df899eb6643c2ac353533f3978723a","sha256:f666f270eeeac889109f801e197521b952e02d0c3a678b6965098b730687f601"],"state_sha256":"3a46106224b6e554d618b1e461929ea519558f664da49f3ddb240f6f6688e50a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZMFPhSCO/x5LK/Z57A7AfvLqEAQw/MybwIKSI1Oe5Ng0X1cfbRay5q1kmxJNlz4jQ4/YtgIW5FAg9wASWsYaAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T16:30:57.494885Z","bundle_sha256":"88a7097455a6289c139c645fd11910f8c9fd9c7b45e9e294e75c4813b1bca8ea"}}