{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:FWZP5BS32XPBLLX6V4BFBAXCTG","short_pith_number":"pith:FWZP5BS3","canonical_record":{"source":{"id":"1406.5353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-20T11:42:42Z","cross_cats_sorted":[],"title_canon_sha256":"88c197958b02ec755d058e0ef7982d7e6026b7cf247bad011b94390e9fe1125c","abstract_canon_sha256":"4cef42fca7c905bf4ee14c888fb74fb88aa5d4f595bf537fb2ad9ade7bdb7881"},"schema_version":"1.0"},"canonical_sha256":"2db2fe865bd5de15aefeaf025082e299a7bfcc048bd6af2052c2770ea0e42498","source":{"kind":"arxiv","id":"1406.5353","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5353","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5353v1","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5353","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"FWZP5BS32XPB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FWZP5BS32XPBLLX6","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FWZP5BS3","created_at":"2026-05-18T12:28:28Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:FWZP5BS32XPBLLX6V4BFBAXCTG","target":"record","payload":{"canonical_record":{"source":{"id":"1406.5353","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-20T11:42:42Z","cross_cats_sorted":[],"title_canon_sha256":"88c197958b02ec755d058e0ef7982d7e6026b7cf247bad011b94390e9fe1125c","abstract_canon_sha256":"4cef42fca7c905bf4ee14c888fb74fb88aa5d4f595bf537fb2ad9ade7bdb7881"},"schema_version":"1.0"},"canonical_sha256":"2db2fe865bd5de15aefeaf025082e299a7bfcc048bd6af2052c2770ea0e42498","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:49:19.257998Z","signature_b64":"EroUoMT1WRfVMUTM34GewH+X0AM2Sa8WjygieNno/W96Cc60S636aJUZyoN3m06s/E02EyOdlELXp4HOBYimDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2db2fe865bd5de15aefeaf025082e299a7bfcc048bd6af2052c2770ea0e42498","last_reissued_at":"2026-05-18T02:49:19.257263Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:49:19.257263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.5353","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":"2026-05-18T02:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"E7cO6w6JOy/hoYsIOtsmA9q5U7rqpw2tUCWHhPjW7Hhqmti6xq4US3XzmQOALqXr9YW8jh8j14n3QuuZXqNCAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:00:54.765354Z"},"content_sha256":"4a4480077696217bd7e39e1d2ad77eb1db14884d548853fbfdbcab7bf9dbb7bc","schema_version":"1.0","event_id":"sha256:4a4480077696217bd7e39e1d2ad77eb1db14884d548853fbfdbcab7bf9dbb7bc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:FWZP5BS32XPBLLX6V4BFBAXCTG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Hermite pseudo-multipliers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Sayan Bagchi, Sundaram Thangavelu","submitted_at":"2014-06-20T11:42:42Z","abstract_excerpt":"In this article we deal with a variation of a theorem of Mauceri concerning the $ L^p $ boundedness of operators $ M $ which are known to be bounded on $ L^2.$ We obtain sufficient conditions on the kernel of the operaor $ M $ so that it satisfies weighted $ L^p $ estimates. As an application we prove $ L^p $ boundedness of Hermite pseudo-multipliers."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5353","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":"2026-05-18T02:49:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LG5Z02hAFLpQfO7Gastl7zJHLrss2vI0ol2NACBceE33HAwnLUkctBLPiUYmPQ103fCpuKK5FWLQEyAC/tATBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:00:54.765841Z"},"content_sha256":"0a615e83f4eb3e331f65b3318858ce29c37e731ad47bd895eaf4f6cf4ce47d0b","schema_version":"1.0","event_id":"sha256:0a615e83f4eb3e331f65b3318858ce29c37e731ad47bd895eaf4f6cf4ce47d0b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FWZP5BS32XPBLLX6V4BFBAXCTG/bundle.json","state_url":"https://pith.science/pith/FWZP5BS32XPBLLX6V4BFBAXCTG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FWZP5BS32XPBLLX6V4BFBAXCTG/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":"2026-05-25T12:00:54Z","links":{"resolver":"https://pith.science/pith/FWZP5BS32XPBLLX6V4BFBAXCTG","bundle":"https://pith.science/pith/FWZP5BS32XPBLLX6V4BFBAXCTG/bundle.json","state":"https://pith.science/pith/FWZP5BS32XPBLLX6V4BFBAXCTG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FWZP5BS32XPBLLX6V4BFBAXCTG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:FWZP5BS32XPBLLX6V4BFBAXCTG","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":"4cef42fca7c905bf4ee14c888fb74fb88aa5d4f595bf537fb2ad9ade7bdb7881","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-20T11:42:42Z","title_canon_sha256":"88c197958b02ec755d058e0ef7982d7e6026b7cf247bad011b94390e9fe1125c"},"schema_version":"1.0","source":{"id":"1406.5353","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.5353","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"arxiv_version","alias_value":"1406.5353v1","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.5353","created_at":"2026-05-18T02:49:19Z"},{"alias_kind":"pith_short_12","alias_value":"FWZP5BS32XPB","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_16","alias_value":"FWZP5BS32XPBLLX6","created_at":"2026-05-18T12:28:28Z"},{"alias_kind":"pith_short_8","alias_value":"FWZP5BS3","created_at":"2026-05-18T12:28:28Z"}],"graph_snapshots":[{"event_id":"sha256:0a615e83f4eb3e331f65b3318858ce29c37e731ad47bd895eaf4f6cf4ce47d0b","target":"graph","created_at":"2026-05-18T02:49:19Z","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 deal with a variation of a theorem of Mauceri concerning the $ L^p $ boundedness of operators $ M $ which are known to be bounded on $ L^2.$ We obtain sufficient conditions on the kernel of the operaor $ M $ so that it satisfies weighted $ L^p $ estimates. As an application we prove $ L^p $ boundedness of Hermite pseudo-multipliers.","authors_text":"Sayan Bagchi, Sundaram Thangavelu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-20T11:42:42Z","title":"On Hermite pseudo-multipliers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.5353","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":"sha256:4a4480077696217bd7e39e1d2ad77eb1db14884d548853fbfdbcab7bf9dbb7bc","target":"record","created_at":"2026-05-18T02:49:19Z","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":"4cef42fca7c905bf4ee14c888fb74fb88aa5d4f595bf537fb2ad9ade7bdb7881","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2014-06-20T11:42:42Z","title_canon_sha256":"88c197958b02ec755d058e0ef7982d7e6026b7cf247bad011b94390e9fe1125c"},"schema_version":"1.0","source":{"id":"1406.5353","kind":"arxiv","version":1}},"canonical_sha256":"2db2fe865bd5de15aefeaf025082e299a7bfcc048bd6af2052c2770ea0e42498","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2db2fe865bd5de15aefeaf025082e299a7bfcc048bd6af2052c2770ea0e42498","first_computed_at":"2026-05-18T02:49:19.257263Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:49:19.257263Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EroUoMT1WRfVMUTM34GewH+X0AM2Sa8WjygieNno/W96Cc60S636aJUZyoN3m06s/E02EyOdlELXp4HOBYimDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:49:19.257998Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.5353","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4a4480077696217bd7e39e1d2ad77eb1db14884d548853fbfdbcab7bf9dbb7bc","sha256:0a615e83f4eb3e331f65b3318858ce29c37e731ad47bd895eaf4f6cf4ce47d0b"],"state_sha256":"527ab650d9d1afa7ca1ada4adeb249b9375f9b566a35d4a6bec1cc57bb93f4b7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gx78ti8fjtDIh8jQ4mfOaQqa0+cREISIfcWzwd5JCFAwjOXgI3AwilEfLxO3/r87Op+igP9OyHoSwyW3FhmdCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:00:54.769233Z","bundle_sha256":"ed604f77779aba836ae6f579bed2fb1eec0b27a70e8fdbe29a619260ed54c81a"}}