{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:4YPPL5QPVNAMLEKGUQFYE5ZMKG","short_pith_number":"pith:4YPPL5QP","canonical_record":{"source":{"id":"1405.0376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-02T10:32:16Z","cross_cats_sorted":[],"title_canon_sha256":"75bc83b191946eaf81fc871cbf923d365b23dbd59770c40a1f6688991b4b7532","abstract_canon_sha256":"6447b5e9f7dc3f58211a8099d57f89716dd684bb3f66415e78dea96eaaf0b258"},"schema_version":"1.0"},"canonical_sha256":"e61ef5f60fab40c59146a40b82772c51b25ff1d71fd5312cd265e64b6699d8f7","source":{"kind":"arxiv","id":"1405.0376","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0376","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0376v1","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0376","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"4YPPL5QPVNAM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4YPPL5QPVNAMLEKG","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4YPPL5QP","created_at":"2026-05-18T12:28:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:4YPPL5QPVNAMLEKGUQFYE5ZMKG","target":"record","payload":{"canonical_record":{"source":{"id":"1405.0376","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-02T10:32:16Z","cross_cats_sorted":[],"title_canon_sha256":"75bc83b191946eaf81fc871cbf923d365b23dbd59770c40a1f6688991b4b7532","abstract_canon_sha256":"6447b5e9f7dc3f58211a8099d57f89716dd684bb3f66415e78dea96eaaf0b258"},"schema_version":"1.0"},"canonical_sha256":"e61ef5f60fab40c59146a40b82772c51b25ff1d71fd5312cd265e64b6699d8f7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:48.095170Z","signature_b64":"TcdPXAmSTfGKccDw4F473c7cVxZ85Rrr/eAoF30FfIZmY/o+2Sry5Wn1mWq6nZTfknPlXPhd63lSJ66YA0V4AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e61ef5f60fab40c59146a40b82772c51b25ff1d71fd5312cd265e64b6699d8f7","last_reissued_at":"2026-05-18T02:52:48.094769Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:48.094769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.0376","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":"2026-05-18T02:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9SUU1qguo1UYgi2Z9zR5KjpiR9SxfZEi++ZY5Q9jet8poCE+gfarVKC5IoYjc8aw5Xz5cguiQ1J4UppXyrL4CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:31:44.741499Z"},"content_sha256":"cca8cbb02da72980014dbc3f48c1bda948a574f27e0ae43ef15f0aae1aef8e7d","schema_version":"1.0","event_id":"sha256:cca8cbb02da72980014dbc3f48c1bda948a574f27e0ae43ef15f0aae1aef8e7d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:4YPPL5QPVNAMLEKGUQFYE5ZMKG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Pavel Gurevich","submitted_at":"2014-05-02T10:32:16Z","abstract_excerpt":"We study the existence of Feller semigroups arising in the theory of multidimensional diffusion processes. We study bounded perturbations of elliptic operators with boundary conditions containing an integral over the closure of the domain with respect to a nonnegative Borel measure without assuming that the measure is small. We state sufficient conditions on the measure guaranteeing that the corresponding nonlocal operator is the generator of a Feller semigroup."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0376","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":"2026-05-18T02:52:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rY23PjaUDL0CULz1wn1rrQMZHAAlC09IOVikZSvAZ5imHT/wSx0E3din8KOjb7lk453qXWq2SVkeqofqS4YnCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T22:31:44.742188Z"},"content_sha256":"cbd429c27d5ccfedef46348065c6425d6b712b067b08d8f614fe4e328f5a8fee","schema_version":"1.0","event_id":"sha256:cbd429c27d5ccfedef46348065c6425d6b712b067b08d8f614fe4e328f5a8fee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG/bundle.json","state_url":"https://pith.science/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG/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":"2026-06-06T22:31:44Z","links":{"resolver":"https://pith.science/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG","bundle":"https://pith.science/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG/bundle.json","state":"https://pith.science/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4YPPL5QPVNAMLEKGUQFYE5ZMKG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4YPPL5QPVNAMLEKGUQFYE5ZMKG","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":"6447b5e9f7dc3f58211a8099d57f89716dd684bb3f66415e78dea96eaaf0b258","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-02T10:32:16Z","title_canon_sha256":"75bc83b191946eaf81fc871cbf923d365b23dbd59770c40a1f6688991b4b7532"},"schema_version":"1.0","source":{"id":"1405.0376","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.0376","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"arxiv_version","alias_value":"1405.0376v1","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.0376","created_at":"2026-05-18T02:52:48Z"},{"alias_kind":"pith_short_12","alias_value":"4YPPL5QPVNAM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4YPPL5QPVNAMLEKG","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4YPPL5QP","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:cbd429c27d5ccfedef46348065c6425d6b712b067b08d8f614fe4e328f5a8fee","target":"graph","created_at":"2026-05-18T02:52:48Z","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 study the existence of Feller semigroups arising in the theory of multidimensional diffusion processes. We study bounded perturbations of elliptic operators with boundary conditions containing an integral over the closure of the domain with respect to a nonnegative Borel measure without assuming that the measure is small. We state sufficient conditions on the measure guaranteeing that the corresponding nonlocal operator is the generator of a Feller semigroup.","authors_text":"Pavel Gurevich","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-02T10:32:16Z","title":"Bounded perturbations of two-dimensional diffusion processes with nonlocal conditions near the boundary"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.0376","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:cca8cbb02da72980014dbc3f48c1bda948a574f27e0ae43ef15f0aae1aef8e7d","target":"record","created_at":"2026-05-18T02:52:48Z","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":"6447b5e9f7dc3f58211a8099d57f89716dd684bb3f66415e78dea96eaaf0b258","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2014-05-02T10:32:16Z","title_canon_sha256":"75bc83b191946eaf81fc871cbf923d365b23dbd59770c40a1f6688991b4b7532"},"schema_version":"1.0","source":{"id":"1405.0376","kind":"arxiv","version":1}},"canonical_sha256":"e61ef5f60fab40c59146a40b82772c51b25ff1d71fd5312cd265e64b6699d8f7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e61ef5f60fab40c59146a40b82772c51b25ff1d71fd5312cd265e64b6699d8f7","first_computed_at":"2026-05-18T02:52:48.094769Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:48.094769Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TcdPXAmSTfGKccDw4F473c7cVxZ85Rrr/eAoF30FfIZmY/o+2Sry5Wn1mWq6nZTfknPlXPhd63lSJ66YA0V4AA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:48.095170Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.0376","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cca8cbb02da72980014dbc3f48c1bda948a574f27e0ae43ef15f0aae1aef8e7d","sha256:cbd429c27d5ccfedef46348065c6425d6b712b067b08d8f614fe4e328f5a8fee"],"state_sha256":"79df5e6f949e74d659dd30d86d1bf946d3c907de3ca12c8c8ceaa32da3cc4541"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kHyfPn5pk0NYc4pyBYAt3l8xN1I5knkOhjTjTpeVwVcicdc6zI7V4nISNR2KNGmNrQtkzhvSku0OeUmuIoTjCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T22:31:44.745754Z","bundle_sha256":"a51875a67ca0a62290f74abf1581efc5d04bf873faa35e57d15093ecf62889b2"}}