{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:NU6IKY4UM4PN7YZBSVUUW4YKFO","short_pith_number":"pith:NU6IKY4U","canonical_record":{"source":{"id":"1607.01666","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-06T15:17:43Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"9cfd1790a84256860208b512c68fa868084acab886a2289bb3daa59d795efd7c","abstract_canon_sha256":"ab910e6e5036e3c80e0276e1f0c4795ca4695d13ccaf10e745da17d27b3ddd52"},"schema_version":"1.0"},"canonical_sha256":"6d3c856394671edfe32195694b730a2ba50e964683baf15789865a76051f3768","source":{"kind":"arxiv","id":"1607.01666","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01666","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01666v3","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01666","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"NU6IKY4UM4PN","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NU6IKY4UM4PN7YZB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NU6IKY4U","created_at":"2026-05-18T12:30:36Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:NU6IKY4UM4PN7YZBSVUUW4YKFO","target":"record","payload":{"canonical_record":{"source":{"id":"1607.01666","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-06T15:17:43Z","cross_cats_sorted":["math.CA"],"title_canon_sha256":"9cfd1790a84256860208b512c68fa868084acab886a2289bb3daa59d795efd7c","abstract_canon_sha256":"ab910e6e5036e3c80e0276e1f0c4795ca4695d13ccaf10e745da17d27b3ddd52"},"schema_version":"1.0"},"canonical_sha256":"6d3c856394671edfe32195694b730a2ba50e964683baf15789865a76051f3768","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:59:41.823875Z","signature_b64":"Uyv6qCeAHJtVHDV4neZ5Zr7NiwLV0UkVNsEGEDDWMi9Hr22MZDdnoDhq7CcGTTtriRiyTa5ThWsAZmssxfkiAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6d3c856394671edfe32195694b730a2ba50e964683baf15789865a76051f3768","last_reissued_at":"2026-05-18T00:59:41.823219Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:59:41.823219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.01666","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OSJIbKaZ/tz7m0awJIbF4rdj3DpXO3cc9ACgmdPuH2FE3aqqldNWekb9RSRu0Dy1LxMtJSN4oUhoMniY5/OUAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:13:35.208005Z"},"content_sha256":"05a74221d1a07fdae3d68efaca8028cba28c6a7a64c8e8bdc6b6a0caaf19864e","schema_version":"1.0","event_id":"sha256:05a74221d1a07fdae3d68efaca8028cba28c6a7a64c8e8bdc6b6a0caaf19864e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:NU6IKY4UM4PN7YZBSVUUW4YKFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"$L^p$-$L^q$ off-diagonal estimates for the Ornstein--Uhlenbeck semigroup: some positive and negative results","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA"],"primary_cat":"math.FA","authors_text":"Alex Amenta, Jonas Teuwen","submitted_at":"2016-07-06T15:17:43Z","abstract_excerpt":"We investigate $L^p(\\gamma)$-$L^q(\\gamma)$ off-diagonal estimates for the Ornstein-Uhlenbeck semigroup $(e^{tL})_{t > 0}$. For sufficiently large $t$ (quantified in terms of $p$ and $q$) these estimates hold in an unrestricted sense, while for sufficiently small $t$ they fail when restricted to maximal admissible balls and sufficiently small annuli. Our counterexample uses Mehler kernel estimates."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01666","kind":"arxiv","version":3},"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":"2026-05-18T00:59:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TUYuBnfytGzq68sKFlUgOKGkA66792ggsSs0FefCeoUpteJfZh4XE8TPqg8TfXFhHbpf5k7Xt7qdzpKvMYW5Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T17:13:35.208356Z"},"content_sha256":"9613abcf8a206129860310f048be4e5983fd0844e0310e11768e14081ef70225","schema_version":"1.0","event_id":"sha256:9613abcf8a206129860310f048be4e5983fd0844e0310e11768e14081ef70225"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO/bundle.json","state_url":"https://pith.science/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO/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":"2026-06-01T17:13:35Z","links":{"resolver":"https://pith.science/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO","bundle":"https://pith.science/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO/bundle.json","state":"https://pith.science/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NU6IKY4UM4PN7YZBSVUUW4YKFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:NU6IKY4UM4PN7YZBSVUUW4YKFO","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":"ab910e6e5036e3c80e0276e1f0c4795ca4695d13ccaf10e745da17d27b3ddd52","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-06T15:17:43Z","title_canon_sha256":"9cfd1790a84256860208b512c68fa868084acab886a2289bb3daa59d795efd7c"},"schema_version":"1.0","source":{"id":"1607.01666","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.01666","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"arxiv_version","alias_value":"1607.01666v3","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.01666","created_at":"2026-05-18T00:59:41Z"},{"alias_kind":"pith_short_12","alias_value":"NU6IKY4UM4PN","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_16","alias_value":"NU6IKY4UM4PN7YZB","created_at":"2026-05-18T12:30:36Z"},{"alias_kind":"pith_short_8","alias_value":"NU6IKY4U","created_at":"2026-05-18T12:30:36Z"}],"graph_snapshots":[{"event_id":"sha256:9613abcf8a206129860310f048be4e5983fd0844e0310e11768e14081ef70225","target":"graph","created_at":"2026-05-18T00:59:41Z","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 investigate $L^p(\\gamma)$-$L^q(\\gamma)$ off-diagonal estimates for the Ornstein-Uhlenbeck semigroup $(e^{tL})_{t > 0}$. For sufficiently large $t$ (quantified in terms of $p$ and $q$) these estimates hold in an unrestricted sense, while for sufficiently small $t$ they fail when restricted to maximal admissible balls and sufficiently small annuli. Our counterexample uses Mehler kernel estimates.","authors_text":"Alex Amenta, Jonas Teuwen","cross_cats":["math.CA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-06T15:17:43Z","title":"$L^p$-$L^q$ off-diagonal estimates for the Ornstein--Uhlenbeck semigroup: some positive and negative results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.01666","kind":"arxiv","version":3},"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":"sha256:05a74221d1a07fdae3d68efaca8028cba28c6a7a64c8e8bdc6b6a0caaf19864e","target":"record","created_at":"2026-05-18T00:59:41Z","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":"ab910e6e5036e3c80e0276e1f0c4795ca4695d13ccaf10e745da17d27b3ddd52","cross_cats_sorted":["math.CA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2016-07-06T15:17:43Z","title_canon_sha256":"9cfd1790a84256860208b512c68fa868084acab886a2289bb3daa59d795efd7c"},"schema_version":"1.0","source":{"id":"1607.01666","kind":"arxiv","version":3}},"canonical_sha256":"6d3c856394671edfe32195694b730a2ba50e964683baf15789865a76051f3768","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6d3c856394671edfe32195694b730a2ba50e964683baf15789865a76051f3768","first_computed_at":"2026-05-18T00:59:41.823219Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:59:41.823219Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Uyv6qCeAHJtVHDV4neZ5Zr7NiwLV0UkVNsEGEDDWMi9Hr22MZDdnoDhq7CcGTTtriRiyTa5ThWsAZmssxfkiAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:59:41.823875Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.01666","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05a74221d1a07fdae3d68efaca8028cba28c6a7a64c8e8bdc6b6a0caaf19864e","sha256:9613abcf8a206129860310f048be4e5983fd0844e0310e11768e14081ef70225"],"state_sha256":"54415a32d498317279d5d578490b093ad0ee7ac4a3e8a1fbbc7d388faa1949af"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"T2l9PgSZNrgN/UMSZdgfXTDcXzCQHdtUefJj/mz7Hs6TzjhJsYJL8ZDUIFsA+zoyxniQ5d50UYCuHIbIhpP3Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T17:13:35.210323Z","bundle_sha256":"63a88508f8ec415bc2be3618a3de7154b39cb079ec937fb02d00f1946205e1c8"}}