{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:2BDY2PJZUTVKWDDZTPSTJXJSSH","short_pith_number":"pith:2BDY2PJZ","canonical_record":{"source":{"id":"1702.04489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T07:38:14Z","cross_cats_sorted":[],"title_canon_sha256":"de6113f63e6b0ef65468b18619eb74938f7cb6ccc26fdcf30b8cec98f51f7636","abstract_canon_sha256":"2dcb3624033057d0055fe10d562bfe6819037e42366cf7b9e29635f43e2f888f"},"schema_version":"1.0"},"canonical_sha256":"d0478d3d39a4eaab0c799be534dd3291de0cbb37d6ce06ad154aab068c2d63fc","source":{"kind":"arxiv","id":"1702.04489","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04489","created_at":"2026-05-18T00:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04489v1","created_at":"2026-05-18T00:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04489","created_at":"2026-05-18T00:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"2BDY2PJZUTVK","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2BDY2PJZUTVKWDDZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2BDY2PJZ","created_at":"2026-05-18T12:30:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:2BDY2PJZUTVKWDDZTPSTJXJSSH","target":"record","payload":{"canonical_record":{"source":{"id":"1702.04489","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T07:38:14Z","cross_cats_sorted":[],"title_canon_sha256":"de6113f63e6b0ef65468b18619eb74938f7cb6ccc26fdcf30b8cec98f51f7636","abstract_canon_sha256":"2dcb3624033057d0055fe10d562bfe6819037e42366cf7b9e29635f43e2f888f"},"schema_version":"1.0"},"canonical_sha256":"d0478d3d39a4eaab0c799be534dd3291de0cbb37d6ce06ad154aab068c2d63fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:41.533775Z","signature_b64":"dyae2gonzxWw+Uc9ol12cirEuYGiUWcdj/Y2bfRDJD7akX3gG8319E2BLVvhxSM4PohAo/lB0Jx4M8s/zA+1Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0478d3d39a4eaab0c799be534dd3291de0cbb37d6ce06ad154aab068c2d63fc","last_reissued_at":"2026-05-18T00:50:41.533240Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:41.533240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1702.04489","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":"2026-05-18T00:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2A8Tuhw80ITsnAEDeXYv3gudT6rtqLrx/D/W53a1Vww2MC1CughJuUmYf8x51/OI4z0NuY+QYAiatWVI4KWlAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:46:16.167736Z"},"content_sha256":"e7d02590b88f358ae84dd67f78de2e2d3bbcc4a095da5100c8568980e12534ca","schema_version":"1.0","event_id":"sha256:e7d02590b88f358ae84dd67f78de2e2d3bbcc4a095da5100c8568980e12534ca"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:2BDY2PJZUTVKWDDZTPSTJXJSSH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Heat Kernel Estimates for Diffusions with Jumps under Non-local Feynman-Kac Perturbations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Lidan Wang, Zhen-Qing Chen","submitted_at":"2017-02-15T07:38:14Z","abstract_excerpt":"In this paper we show that two-sided heat kernel estimates for a class of (not necessarily symmetric) diffusions with jumps are stable under non-local Feynman-Kac perturbations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04489","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":"2026-05-18T00:50:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1zjuQdZPe1m68bk7tq4hlh6/zp4T1u50kN/ESLaezG0fE+GXRxgeo9sDLyqmhNkJVkVZqjF17YTdpfz2di2hBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T20:46:16.168126Z"},"content_sha256":"5f98bb19324cc4164ef2175de7bbbabe674757f8aeaa983fbffdea709d7667fa","schema_version":"1.0","event_id":"sha256:5f98bb19324cc4164ef2175de7bbbabe674757f8aeaa983fbffdea709d7667fa"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH/bundle.json","state_url":"https://pith.science/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH/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":"2026-06-02T20:46:16Z","links":{"resolver":"https://pith.science/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH","bundle":"https://pith.science/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH/bundle.json","state":"https://pith.science/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2BDY2PJZUTVKWDDZTPSTJXJSSH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:2BDY2PJZUTVKWDDZTPSTJXJSSH","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":"2dcb3624033057d0055fe10d562bfe6819037e42366cf7b9e29635f43e2f888f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T07:38:14Z","title_canon_sha256":"de6113f63e6b0ef65468b18619eb74938f7cb6ccc26fdcf30b8cec98f51f7636"},"schema_version":"1.0","source":{"id":"1702.04489","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1702.04489","created_at":"2026-05-18T00:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1702.04489v1","created_at":"2026-05-18T00:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.04489","created_at":"2026-05-18T00:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"2BDY2PJZUTVK","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_16","alias_value":"2BDY2PJZUTVKWDDZ","created_at":"2026-05-18T12:30:55Z"},{"alias_kind":"pith_short_8","alias_value":"2BDY2PJZ","created_at":"2026-05-18T12:30:55Z"}],"graph_snapshots":[{"event_id":"sha256:5f98bb19324cc4164ef2175de7bbbabe674757f8aeaa983fbffdea709d7667fa","target":"graph","created_at":"2026-05-18T00:50:41Z","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":"In this paper we show that two-sided heat kernel estimates for a class of (not necessarily symmetric) diffusions with jumps are stable under non-local Feynman-Kac perturbations.","authors_text":"Lidan Wang, Zhen-Qing Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T07:38:14Z","title":"Stability of Heat Kernel Estimates for Diffusions with Jumps under Non-local Feynman-Kac Perturbations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.04489","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:e7d02590b88f358ae84dd67f78de2e2d3bbcc4a095da5100c8568980e12534ca","target":"record","created_at":"2026-05-18T00:50:41Z","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":"2dcb3624033057d0055fe10d562bfe6819037e42366cf7b9e29635f43e2f888f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2017-02-15T07:38:14Z","title_canon_sha256":"de6113f63e6b0ef65468b18619eb74938f7cb6ccc26fdcf30b8cec98f51f7636"},"schema_version":"1.0","source":{"id":"1702.04489","kind":"arxiv","version":1}},"canonical_sha256":"d0478d3d39a4eaab0c799be534dd3291de0cbb37d6ce06ad154aab068c2d63fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0478d3d39a4eaab0c799be534dd3291de0cbb37d6ce06ad154aab068c2d63fc","first_computed_at":"2026-05-18T00:50:41.533240Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:41.533240Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"dyae2gonzxWw+Uc9ol12cirEuYGiUWcdj/Y2bfRDJD7akX3gG8319E2BLVvhxSM4PohAo/lB0Jx4M8s/zA+1Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:41.533775Z","signed_message":"canonical_sha256_bytes"},"source_id":"1702.04489","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7d02590b88f358ae84dd67f78de2e2d3bbcc4a095da5100c8568980e12534ca","sha256:5f98bb19324cc4164ef2175de7bbbabe674757f8aeaa983fbffdea709d7667fa"],"state_sha256":"96cf066b64ab2ad2a3b65aba6e33905fa96e6a5b121985053b2496017c15572b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1BehQ+sY18xbwJJgobH2A0ZMMtH+EWdAVeQ6NSbuQzsUWBon4uLBqc+Anuf9kCAyiQpkS9R0u0dF3nKhR74kBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T20:46:16.171459Z","bundle_sha256":"cd632dac49a4bc5dbb74ea0b08ae4ea2b299c55ee53125819f7e89af174a6fe0"}}