{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:JCT4I2DOTIM7MGI227AKFVNC7X","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":"f3450b9a9b90ef14e0dff41f3295f0728e445ca03fb9b5d03ca3d3c95d32f618","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T14:50:27Z","title_canon_sha256":"58aeea10fff988933b21d8f7ad472070a8887a98d58937de2bfb8554a93a2c0c"},"schema_version":"1.0","source":{"id":"1502.06451","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.06451","created_at":"2026-05-18T02:25:48Z"},{"alias_kind":"arxiv_version","alias_value":"1502.06451v2","created_at":"2026-05-18T02:25:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.06451","created_at":"2026-05-18T02:25:48Z"},{"alias_kind":"pith_short_12","alias_value":"JCT4I2DOTIM7","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_16","alias_value":"JCT4I2DOTIM7MGI2","created_at":"2026-05-18T12:29:27Z"},{"alias_kind":"pith_short_8","alias_value":"JCT4I2DO","created_at":"2026-05-18T12:29:27Z"}],"graph_snapshots":[{"event_id":"sha256:f4e8ff3b113f907b40cf309c25eeebe07c19a149e46ab5193955713159ebb388","target":"graph","created_at":"2026-05-18T02:25:48Z","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":"An algorithm for estimating quasi-stationary distribution of finite state space Markov chains has been proven in a previous paper. Now this paper proves a similar algorithm that works for general state space Markov chains under very general assumptions.","authors_text":"Jose H. Blanchet, Peter Glynn, Shuheng Zheng","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T14:50:27Z","title":"Theoretical analysis of a Stochastic Approximation approach for computing Quasi-Stationary distributions of general state space Markov chains"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.06451","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":"sha256:0eb4272781de86a53e33eb43978763c9afd7a728dbd1a8f3bf15494514bb74c8","target":"record","created_at":"2026-05-18T02:25:48Z","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":"f3450b9a9b90ef14e0dff41f3295f0728e445ca03fb9b5d03ca3d3c95d32f618","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2015-02-23T14:50:27Z","title_canon_sha256":"58aeea10fff988933b21d8f7ad472070a8887a98d58937de2bfb8554a93a2c0c"},"schema_version":"1.0","source":{"id":"1502.06451","kind":"arxiv","version":2}},"canonical_sha256":"48a7c4686e9a19f6191ad7c0a2d5a2fdd22868cda2803e54475df2a5770f2766","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"48a7c4686e9a19f6191ad7c0a2d5a2fdd22868cda2803e54475df2a5770f2766","first_computed_at":"2026-05-18T02:25:48.584810Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:25:48.584810Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Z4sATYlBSGGT3c2mILX3t8x6CeNxEGGtESQcfnqAFqC187982iAeOTx4+MYJy3lYficfhlcQ2dcJ6C/PlGfqAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:25:48.585332Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.06451","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0eb4272781de86a53e33eb43978763c9afd7a728dbd1a8f3bf15494514bb74c8","sha256:f4e8ff3b113f907b40cf309c25eeebe07c19a149e46ab5193955713159ebb388"],"state_sha256":"c6b612c799a5f6eb1691d5a33fd08b2886c457fe0eb8003807e1cef292d2837d"}