{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:BPUWKFYLT2JOKS3HUBHMTEMSW4","short_pith_number":"pith:BPUWKFYL","canonical_record":{"source":{"id":"1801.05261","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-01-16T14:06:01Z","cross_cats_sorted":[],"title_canon_sha256":"13cba20ebde7f63a48622b61c60b3917a993e86dc791752bdd5525892baaf5a3","abstract_canon_sha256":"eaf9143226f912f8de382b91ec051c7de198b4354c29b9568ab92fe2d753ebac"},"schema_version":"1.0"},"canonical_sha256":"0be965170b9e92e54b67a04ec99192b70d980abd48281c3bbf53ae5f365fc013","source":{"kind":"arxiv","id":"1801.05261","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05261","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05261v2","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05261","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"BPUWKFYLT2JO","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BPUWKFYLT2JOKS3H","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BPUWKFYL","created_at":"2026-05-18T12:32:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:BPUWKFYLT2JOKS3HUBHMTEMSW4","target":"record","payload":{"canonical_record":{"source":{"id":"1801.05261","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-01-16T14:06:01Z","cross_cats_sorted":[],"title_canon_sha256":"13cba20ebde7f63a48622b61c60b3917a993e86dc791752bdd5525892baaf5a3","abstract_canon_sha256":"eaf9143226f912f8de382b91ec051c7de198b4354c29b9568ab92fe2d753ebac"},"schema_version":"1.0"},"canonical_sha256":"0be965170b9e92e54b67a04ec99192b70d980abd48281c3bbf53ae5f365fc013","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:53.325393Z","signature_b64":"gjh1F8F99DcYyUetqdtoyj2lS+74a8++RlEiQ3WkVbPN7uc5hp2/A5gtkDgaH/azGSp2uivzAIaYe0LDMo0mCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0be965170b9e92e54b67a04ec99192b70d980abd48281c3bbf53ae5f365fc013","last_reissued_at":"2026-05-17T23:59:53.324872Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:53.324872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1801.05261","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1BPdY53+fB1OF7L2Ibtllfox5A5zO4XpdG8BYvql/q39rmCoxgiWbtMTtXYFXzQp2DHQBGoLFnNpPqeF/voKBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:34:22.420692Z"},"content_sha256":"a5a11a74a5e543618b6c20afcfd29e422a24d3f8c885adc88d1ceffa6a3bdcb1","schema_version":"1.0","event_id":"sha256:a5a11a74a5e543618b6c20afcfd29e422a24d3f8c885adc88d1ceffa6a3bdcb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:BPUWKFYLT2JOKS3HUBHMTEMSW4","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Operators with Wentzell boundary conditions and the Dirichlet-to-Neumann operator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.FA","authors_text":"Klaus-Jochen Engel, Tim Binz","submitted_at":"2018-01-16T14:06:01Z","abstract_excerpt":"In this paper we relate the generator property of an operator $A$ with (abstract) generalized Wentzell boundary conditions on a Banach space $X$ and its associated (abstract) Dirichlet-to-Neumann operator $N$ acting on a \"boundary\" space $\\partial X$. Our approach is based on similarity transformations and perturbation arguments and allows to split $A$ into an operator $A_{00}$ with Dirichlet-type boundary conditions on a space $X_0$ of states having \"zero trace\" and the operator $N$. If $A_{00}$ generates an analytic semigroup, we obtain under a weak Hille--Yosida type condition that $A$ gene"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05261","kind":"arxiv","version":2},"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":"2026-05-17T23:59:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3Qigy+XeOYsDP4cesVBGtAhycSgAKt6k/y62swyhOkDHIyNSG0gZlCHOm1r9F5rJOmqggGEYFs1pZhQ43Z5hBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T08:34:22.421036Z"},"content_sha256":"23d2c0910ced4ebd30a0937574c2a3a8a00cf33faea029284f56dd35e02f687c","schema_version":"1.0","event_id":"sha256:23d2c0910ced4ebd30a0937574c2a3a8a00cf33faea029284f56dd35e02f687c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4/bundle.json","state_url":"https://pith.science/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4/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":"2026-06-24T08:34:22Z","links":{"resolver":"https://pith.science/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4","bundle":"https://pith.science/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4/bundle.json","state":"https://pith.science/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BPUWKFYLT2JOKS3HUBHMTEMSW4/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BPUWKFYLT2JOKS3HUBHMTEMSW4","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":"eaf9143226f912f8de382b91ec051c7de198b4354c29b9568ab92fe2d753ebac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-01-16T14:06:01Z","title_canon_sha256":"13cba20ebde7f63a48622b61c60b3917a993e86dc791752bdd5525892baaf5a3"},"schema_version":"1.0","source":{"id":"1801.05261","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.05261","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"arxiv_version","alias_value":"1801.05261v2","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.05261","created_at":"2026-05-17T23:59:53Z"},{"alias_kind":"pith_short_12","alias_value":"BPUWKFYLT2JO","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BPUWKFYLT2JOKS3H","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BPUWKFYL","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:23d2c0910ced4ebd30a0937574c2a3a8a00cf33faea029284f56dd35e02f687c","target":"graph","created_at":"2026-05-17T23:59:53Z","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 relate the generator property of an operator $A$ with (abstract) generalized Wentzell boundary conditions on a Banach space $X$ and its associated (abstract) Dirichlet-to-Neumann operator $N$ acting on a \"boundary\" space $\\partial X$. Our approach is based on similarity transformations and perturbation arguments and allows to split $A$ into an operator $A_{00}$ with Dirichlet-type boundary conditions on a space $X_0$ of states having \"zero trace\" and the operator $N$. If $A_{00}$ generates an analytic semigroup, we obtain under a weak Hille--Yosida type condition that $A$ gene","authors_text":"Klaus-Jochen Engel, Tim Binz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-01-16T14:06:01Z","title":"Operators with Wentzell boundary conditions and the Dirichlet-to-Neumann operator"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.05261","kind":"arxiv","version":2},"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:a5a11a74a5e543618b6c20afcfd29e422a24d3f8c885adc88d1ceffa6a3bdcb1","target":"record","created_at":"2026-05-17T23:59:53Z","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":"eaf9143226f912f8de382b91ec051c7de198b4354c29b9568ab92fe2d753ebac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.FA","submitted_at":"2018-01-16T14:06:01Z","title_canon_sha256":"13cba20ebde7f63a48622b61c60b3917a993e86dc791752bdd5525892baaf5a3"},"schema_version":"1.0","source":{"id":"1801.05261","kind":"arxiv","version":2}},"canonical_sha256":"0be965170b9e92e54b67a04ec99192b70d980abd48281c3bbf53ae5f365fc013","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0be965170b9e92e54b67a04ec99192b70d980abd48281c3bbf53ae5f365fc013","first_computed_at":"2026-05-17T23:59:53.324872Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:53.324872Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gjh1F8F99DcYyUetqdtoyj2lS+74a8++RlEiQ3WkVbPN7uc5hp2/A5gtkDgaH/azGSp2uivzAIaYe0LDMo0mCQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:53.325393Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.05261","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a5a11a74a5e543618b6c20afcfd29e422a24d3f8c885adc88d1ceffa6a3bdcb1","sha256:23d2c0910ced4ebd30a0937574c2a3a8a00cf33faea029284f56dd35e02f687c"],"state_sha256":"66241fbc3639543aa4c60a81587e993e873b4353d4291b8070e9160fa6503605"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+XgU3MBMOckCU83zQck0GnrO6VuySZTTZOwTS5ZvtLl1mpk3lJBxV7hLRAY/Zf7OBGC47BGqgcAWNcZUwdw5AQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T08:34:22.423179Z","bundle_sha256":"156ff0fcc58dd331f4003ea9bd0b954bdf6969c9f3867487027bfb8152adefda"}}