{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:S3HJYI2HVHL5ZJXSLACCN5TQER","short_pith_number":"pith:S3HJYI2H","canonical_record":{"source":{"id":"1810.00311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-30T04:05:22Z","cross_cats_sorted":[],"title_canon_sha256":"358172ece467499f697b0309f9705d8cbf3518eefc2d6c7b017f885b036d5f6e","abstract_canon_sha256":"e12c770c3eb8cb31626c8daa56eab1c24e9a6cc6d1fb701b0192ae9d98d6bd1f"},"schema_version":"1.0"},"canonical_sha256":"96ce9c2347a9d7dca6f2580426f6702458a2e4638717a493cbda4b3528b851e6","source":{"kind":"arxiv","id":"1810.00311","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00311","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00311v1","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00311","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"S3HJYI2HVHL5","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S3HJYI2HVHL5ZJXS","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S3HJYI2H","created_at":"2026-05-18T12:32:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:S3HJYI2HVHL5ZJXSLACCN5TQER","target":"record","payload":{"canonical_record":{"source":{"id":"1810.00311","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-30T04:05:22Z","cross_cats_sorted":[],"title_canon_sha256":"358172ece467499f697b0309f9705d8cbf3518eefc2d6c7b017f885b036d5f6e","abstract_canon_sha256":"e12c770c3eb8cb31626c8daa56eab1c24e9a6cc6d1fb701b0192ae9d98d6bd1f"},"schema_version":"1.0"},"canonical_sha256":"96ce9c2347a9d7dca6f2580426f6702458a2e4638717a493cbda4b3528b851e6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:04:28.204360Z","signature_b64":"WnxgKCs3ZivRj3HVE0Q6muaL7mr9zQM9uN68PyHCTUywp5rJgNU6mFwbmWVFPPVmmRmdQRq9rIJfodPVr7oTCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"96ce9c2347a9d7dca6f2580426f6702458a2e4638717a493cbda4b3528b851e6","last_reissued_at":"2026-05-18T00:04:28.203781Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:04:28.203781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1810.00311","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":"2026-05-18T00:04:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F8ZHMweqH6YP8KcmDproy0SmSp078VnAQl/qC7ZWd76y7ub3YKZL4yVKEq2SO2T9WmYVvJwkgF26ebxGBI2PAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:57:45.573139Z"},"content_sha256":"72b63b493b6dbf0d47c11eccb4dd95be41ee860b5d2281cc07210e4fb4d0aa13","schema_version":"1.0","event_id":"sha256:72b63b493b6dbf0d47c11eccb4dd95be41ee860b5d2281cc07210e4fb4d0aa13"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:S3HJYI2HVHL5ZJXSLACCN5TQER","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Recurrence and Ergodicity for A Class of Regime-Switching Jump Diffusions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"George Yin, Ky Tran, Xiaoshan Chen, Zhen-Qing Chen","submitted_at":"2018-09-30T04:05:22Z","abstract_excerpt":"This work develops asymptotic properties of a class of switching jump diffusion processes. The processes under consideration may be viewed as a number of jump diffusion processes modulated by a random switching mechanism. The underlying processes feature in the switching process depends on the jump diffusions. In this paper, conditions for recurrence and positive recurrence are derived. Ergodicity is examined in detail. Existence of invariant probability measures is proved."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00311","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":"2026-05-18T00:04:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zCzIBCof4xOh4M8UyyQE0eaABSXFcJawG2jAEb1ir+pa8WkBFHOH5oQOXzsWji27hNSLf2OhUG4KTxIxmbukCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:57:45.573496Z"},"content_sha256":"5c85f95590c2a2a539469b829923193402066b9e1f4f2915ee7992c8a3d9fa43","schema_version":"1.0","event_id":"sha256:5c85f95590c2a2a539469b829923193402066b9e1f4f2915ee7992c8a3d9fa43"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S3HJYI2HVHL5ZJXSLACCN5TQER/bundle.json","state_url":"https://pith.science/pith/S3HJYI2HVHL5ZJXSLACCN5TQER/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S3HJYI2HVHL5ZJXSLACCN5TQER/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":"2026-06-01T13:57:45Z","links":{"resolver":"https://pith.science/pith/S3HJYI2HVHL5ZJXSLACCN5TQER","bundle":"https://pith.science/pith/S3HJYI2HVHL5ZJXSLACCN5TQER/bundle.json","state":"https://pith.science/pith/S3HJYI2HVHL5ZJXSLACCN5TQER/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S3HJYI2HVHL5ZJXSLACCN5TQER/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:S3HJYI2HVHL5ZJXSLACCN5TQER","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":"e12c770c3eb8cb31626c8daa56eab1c24e9a6cc6d1fb701b0192ae9d98d6bd1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-30T04:05:22Z","title_canon_sha256":"358172ece467499f697b0309f9705d8cbf3518eefc2d6c7b017f885b036d5f6e"},"schema_version":"1.0","source":{"id":"1810.00311","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.00311","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"arxiv_version","alias_value":"1810.00311v1","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.00311","created_at":"2026-05-18T00:04:28Z"},{"alias_kind":"pith_short_12","alias_value":"S3HJYI2HVHL5","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_16","alias_value":"S3HJYI2HVHL5ZJXS","created_at":"2026-05-18T12:32:50Z"},{"alias_kind":"pith_short_8","alias_value":"S3HJYI2H","created_at":"2026-05-18T12:32:50Z"}],"graph_snapshots":[{"event_id":"sha256:5c85f95590c2a2a539469b829923193402066b9e1f4f2915ee7992c8a3d9fa43","target":"graph","created_at":"2026-05-18T00:04:28Z","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":"This work develops asymptotic properties of a class of switching jump diffusion processes. The processes under consideration may be viewed as a number of jump diffusion processes modulated by a random switching mechanism. The underlying processes feature in the switching process depends on the jump diffusions. In this paper, conditions for recurrence and positive recurrence are derived. Ergodicity is examined in detail. Existence of invariant probability measures is proved.","authors_text":"George Yin, Ky Tran, Xiaoshan Chen, Zhen-Qing Chen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-30T04:05:22Z","title":"Recurrence and Ergodicity for A Class of Regime-Switching Jump Diffusions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00311","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":"sha256:72b63b493b6dbf0d47c11eccb4dd95be41ee860b5d2281cc07210e4fb4d0aa13","target":"record","created_at":"2026-05-18T00:04:28Z","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":"e12c770c3eb8cb31626c8daa56eab1c24e9a6cc6d1fb701b0192ae9d98d6bd1f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2018-09-30T04:05:22Z","title_canon_sha256":"358172ece467499f697b0309f9705d8cbf3518eefc2d6c7b017f885b036d5f6e"},"schema_version":"1.0","source":{"id":"1810.00311","kind":"arxiv","version":1}},"canonical_sha256":"96ce9c2347a9d7dca6f2580426f6702458a2e4638717a493cbda4b3528b851e6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"96ce9c2347a9d7dca6f2580426f6702458a2e4638717a493cbda4b3528b851e6","first_computed_at":"2026-05-18T00:04:28.203781Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:28.203781Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WnxgKCs3ZivRj3HVE0Q6muaL7mr9zQM9uN68PyHCTUywp5rJgNU6mFwbmWVFPPVmmRmdQRq9rIJfodPVr7oTCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:28.204360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.00311","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:72b63b493b6dbf0d47c11eccb4dd95be41ee860b5d2281cc07210e4fb4d0aa13","sha256:5c85f95590c2a2a539469b829923193402066b9e1f4f2915ee7992c8a3d9fa43"],"state_sha256":"5550217ebb760a2ed1ae6dd50048ac91dc07950b19b150d24eca47294dfe89f1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x6Q9MNL1m5f0mbNvV3mB5uz/iro9WMs5st9KZDl1h12zH/8zyHHRi74GmbFbkYNz2PP6qAqDsYaTfdIcawuWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:57:45.575424Z","bundle_sha256":"b747f217d5aa84b95bb5e97a4a189286ef9f3d291ffa07391b5459ed24f4a763"}}