{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:IWWX5S3K5JHY2MW6Q3NZJ3YP2K","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":"526624901af7d26e69626917e18dd743b236ae367de73c6191a628a6cd4e306f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2017-05-02T16:52:31Z","title_canon_sha256":"9a518218e306ec8fb97c1179eafb156be67065e457a73b13e38a0111c088e954"},"schema_version":"1.0","source":{"id":"1705.01070","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.01070","created_at":"2026-05-18T00:44:23Z"},{"alias_kind":"arxiv_version","alias_value":"1705.01070v2","created_at":"2026-05-18T00:44:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.01070","created_at":"2026-05-18T00:44:23Z"},{"alias_kind":"pith_short_12","alias_value":"IWWX5S3K5JHY","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_16","alias_value":"IWWX5S3K5JHY2MW6","created_at":"2026-05-18T12:31:21Z"},{"alias_kind":"pith_short_8","alias_value":"IWWX5S3K","created_at":"2026-05-18T12:31:21Z"}],"graph_snapshots":[{"event_id":"sha256:4bd4d07e9a5d536db83ab81e4046a31e678ce48a8bdcfbad9e332cff63116b0e","target":"graph","created_at":"2026-05-18T00:44:23Z","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":"Asymptotic properties of Markov Processes, such as steady state probabilities or hazard rate for absorbing states can be efficiently calculated by means of linear algebra even for large-scale problems. This paper discusses the methods for adjusting parameters of the Markov models to account for non-constant transition rates. In particular, transitions with fixed delays are considered along with the transitions that follow Weibull and lognormal distributions. Procedures for both steady-state solutions in the absence of an absorbing state, and for hazard rates to an absorbing state are provided ","authors_text":"Vitali Volovoi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2017-05-02T16:52:31Z","title":"Correcting for Non-Markovian Asymptotic Effects using Markovian Representation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.01070","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":"sha256:402d687443a3c381c90a995451048f7ad5b2e320f16d7d5ff01cf67fe91e8438","target":"record","created_at":"2026-05-18T00:44:23Z","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":"526624901af7d26e69626917e18dd743b236ae367de73c6191a628a6cd4e306f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.PF","submitted_at":"2017-05-02T16:52:31Z","title_canon_sha256":"9a518218e306ec8fb97c1179eafb156be67065e457a73b13e38a0111c088e954"},"schema_version":"1.0","source":{"id":"1705.01070","kind":"arxiv","version":2}},"canonical_sha256":"45ad7ecb6aea4f8d32de86db94ef0fd2b527216f749efb5674b5a6516df9f3e4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"45ad7ecb6aea4f8d32de86db94ef0fd2b527216f749efb5674b5a6516df9f3e4","first_computed_at":"2026-05-18T00:44:23.031012Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:23.031012Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ADGaehebnz9gWtClmlzmeTbo1sV0oAIQvW9RA01POpk7ikmVlO0QNyrUd8985wJYcZ5jQ7d4kEKorXVmFxlwBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:23.031439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.01070","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:402d687443a3c381c90a995451048f7ad5b2e320f16d7d5ff01cf67fe91e8438","sha256:4bd4d07e9a5d536db83ab81e4046a31e678ce48a8bdcfbad9e332cff63116b0e"],"state_sha256":"ac367252490f410ac543c6b4996da45fc8d1c8f533f7d4f5356ff65a2c987801"}