{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:WUI56A7BPM75UBM6H24BCBWMOX","short_pith_number":"pith:WUI56A7B","canonical_record":{"source":{"id":"1110.5690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-26T00:38:37Z","cross_cats_sorted":[],"title_canon_sha256":"ffd9eba312291512ad0384d338423ca3f3796746c99c9bf0e50aca39646d5ce4","abstract_canon_sha256":"026759356293e632b1cb758421c1e3c7f64e677913d0fc43a5a49c74f2d528dd"},"schema_version":"1.0"},"canonical_sha256":"b511df03e17b3fda059e3eb81106cc75e2ca9baf20776082995e590e14d8eb2a","source":{"kind":"arxiv","id":"1110.5690","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5690","created_at":"2026-05-18T03:45:12Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5690v1","created_at":"2026-05-18T03:45:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5690","created_at":"2026-05-18T03:45:12Z"},{"alias_kind":"pith_short_12","alias_value":"WUI56A7BPM75","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WUI56A7BPM75UBM6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WUI56A7B","created_at":"2026-05-18T12:26:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:WUI56A7BPM75UBM6H24BCBWMOX","target":"record","payload":{"canonical_record":{"source":{"id":"1110.5690","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-26T00:38:37Z","cross_cats_sorted":[],"title_canon_sha256":"ffd9eba312291512ad0384d338423ca3f3796746c99c9bf0e50aca39646d5ce4","abstract_canon_sha256":"026759356293e632b1cb758421c1e3c7f64e677913d0fc43a5a49c74f2d528dd"},"schema_version":"1.0"},"canonical_sha256":"b511df03e17b3fda059e3eb81106cc75e2ca9baf20776082995e590e14d8eb2a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:12.553838Z","signature_b64":"ry461v0QCl17LUvx3I/SH2bZs/fCC8VimQM9Zy9e86/aojHqNLMPo4N4+0Lxgkx5G5zdPdknOZMiwB3Rij2kAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b511df03e17b3fda059e3eb81106cc75e2ca9baf20776082995e590e14d8eb2a","last_reissued_at":"2026-05-18T03:45:12.553265Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:12.553265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.5690","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":"2026-05-18T03:45:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FsZcTCOAyZ3DKk1cpej0uX7AzX1ht3FVpZAn/0Ya4eBwsrN6SfDULFZqrFjvEYESIv5aLmh+pbhhNpHlnvVxCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:01:26.214037Z"},"content_sha256":"5fabc6ad5df4b869fe62ef65662136556da0c7eff4cb766a1e982aac9e2013ac","schema_version":"1.0","event_id":"sha256:5fabc6ad5df4b869fe62ef65662136556da0c7eff4cb766a1e982aac9e2013ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:WUI56A7BPM75UBM6H24BCBWMOX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuous maximal regularity and analytic semigroups","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Gieri Simonett, Jeremy LeCrone","submitted_at":"2011-10-26T00:38:37Z","abstract_excerpt":"In this paper we establish a result regarding the connection between continuous maximal regularity and generation of analytic semigroups on a pair of densely embedded Banach spaces. More precisely, we show that continuous maximal regularity for a closed operator $A: E_1 \\rightarrow E_0$ implies that $A$ generates a strongly continuous analytic semigroup on $E_0$ with domain equal $E_1$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5690","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":"2026-05-18T03:45:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UQgcKTMP289A/mvjY3LQmtEXxvuCMEDimOZquSFOyYZgF2kQytueC9QwIWjwxvY7XbS0KuHWClTN2KCFWrTyDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T13:01:26.214635Z"},"content_sha256":"fcdcd34494fac898c7734207187c09e001698f3d7513373ea8b72b4a9f4af6fb","schema_version":"1.0","event_id":"sha256:fcdcd34494fac898c7734207187c09e001698f3d7513373ea8b72b4a9f4af6fb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WUI56A7BPM75UBM6H24BCBWMOX/bundle.json","state_url":"https://pith.science/pith/WUI56A7BPM75UBM6H24BCBWMOX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WUI56A7BPM75UBM6H24BCBWMOX/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":"2026-05-27T13:01:26Z","links":{"resolver":"https://pith.science/pith/WUI56A7BPM75UBM6H24BCBWMOX","bundle":"https://pith.science/pith/WUI56A7BPM75UBM6H24BCBWMOX/bundle.json","state":"https://pith.science/pith/WUI56A7BPM75UBM6H24BCBWMOX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WUI56A7BPM75UBM6H24BCBWMOX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:WUI56A7BPM75UBM6H24BCBWMOX","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":"026759356293e632b1cb758421c1e3c7f64e677913d0fc43a5a49c74f2d528dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-26T00:38:37Z","title_canon_sha256":"ffd9eba312291512ad0384d338423ca3f3796746c99c9bf0e50aca39646d5ce4"},"schema_version":"1.0","source":{"id":"1110.5690","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.5690","created_at":"2026-05-18T03:45:12Z"},{"alias_kind":"arxiv_version","alias_value":"1110.5690v1","created_at":"2026-05-18T03:45:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.5690","created_at":"2026-05-18T03:45:12Z"},{"alias_kind":"pith_short_12","alias_value":"WUI56A7BPM75","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_16","alias_value":"WUI56A7BPM75UBM6","created_at":"2026-05-18T12:26:44Z"},{"alias_kind":"pith_short_8","alias_value":"WUI56A7B","created_at":"2026-05-18T12:26:44Z"}],"graph_snapshots":[{"event_id":"sha256:fcdcd34494fac898c7734207187c09e001698f3d7513373ea8b72b4a9f4af6fb","target":"graph","created_at":"2026-05-18T03:45:12Z","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 paper we establish a result regarding the connection between continuous maximal regularity and generation of analytic semigroups on a pair of densely embedded Banach spaces. More precisely, we show that continuous maximal regularity for a closed operator $A: E_1 \\rightarrow E_0$ implies that $A$ generates a strongly continuous analytic semigroup on $E_0$ with domain equal $E_1$.","authors_text":"Gieri Simonett, Jeremy LeCrone","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-26T00:38:37Z","title":"Continuous maximal regularity and analytic semigroups"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.5690","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":"sha256:5fabc6ad5df4b869fe62ef65662136556da0c7eff4cb766a1e982aac9e2013ac","target":"record","created_at":"2026-05-18T03:45:12Z","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":"026759356293e632b1cb758421c1e3c7f64e677913d0fc43a5a49c74f2d528dd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2011-10-26T00:38:37Z","title_canon_sha256":"ffd9eba312291512ad0384d338423ca3f3796746c99c9bf0e50aca39646d5ce4"},"schema_version":"1.0","source":{"id":"1110.5690","kind":"arxiv","version":1}},"canonical_sha256":"b511df03e17b3fda059e3eb81106cc75e2ca9baf20776082995e590e14d8eb2a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b511df03e17b3fda059e3eb81106cc75e2ca9baf20776082995e590e14d8eb2a","first_computed_at":"2026-05-18T03:45:12.553265Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:12.553265Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ry461v0QCl17LUvx3I/SH2bZs/fCC8VimQM9Zy9e86/aojHqNLMPo4N4+0Lxgkx5G5zdPdknOZMiwB3Rij2kAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:12.553838Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.5690","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fabc6ad5df4b869fe62ef65662136556da0c7eff4cb766a1e982aac9e2013ac","sha256:fcdcd34494fac898c7734207187c09e001698f3d7513373ea8b72b4a9f4af6fb"],"state_sha256":"20a52b2a6f538a8c55207e1b2de75e69f0334ac0571ff49267765d4eb83d9446"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"m9T5HF6H/GhNxETR/LFUosRDg5kmc6cnt6ttf81J07FzgrpAF/K3b7zWMHRHQZEgLjZOGSbI8FDW+6bAhpp7BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T13:01:26.217223Z","bundle_sha256":"5551f70b8579babafbf1543194746edfcc241b8be23eb154af8b860751ab3c77"}}