{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:BXKAA75473JC7FZD72GTXBJMCM","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":"3a14351cf198423798223da92815759b3aca652d3609b31f7375da71269558a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-01-26T11:33:45Z","title_canon_sha256":"ecd987dea4eabb5002590774047cba9c194c4ec218be4b24d6f7de86d1b99d9d"},"schema_version":"1.0","source":{"id":"1501.06342","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1501.06342","created_at":"2026-05-18T02:27:20Z"},{"alias_kind":"arxiv_version","alias_value":"1501.06342v2","created_at":"2026-05-18T02:27:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1501.06342","created_at":"2026-05-18T02:27:20Z"},{"alias_kind":"pith_short_12","alias_value":"BXKAA75473JC","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"BXKAA75473JC7FZD","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"BXKAA754","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:30ae8844bff2695f3738a6abc32b1f30eb91b9e28e148ba671d5c63e03f81f96","target":"graph","created_at":"2026-05-18T02:27:20Z","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":"Evolutionary dynamics has been classically studied for homogeneous populations, but now there is a growing interest in the non-homogenous case. One of the most important models has been proposed by Lieberman, Hauert and Nowak, adapting to a weighted directed graph the classical process described by Moran. The Markov chain associated with the graph can be modified by erasing all non-trivial loops in its state space, obtaining the so-called Embedded Markov chain (EMC). The fixation probability remains unchanged, but the expected time to absorption (fixation or extinction) is reduced. In this pap","authors_text":"\\'Alvaro Lozano Rojo, Fernando Alcalde Cuesta, Pablo Gonz\\'alez Sequeiros","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-01-26T11:33:45Z","title":"Fast and asymptotic computation of the fixation probability for Moran processes on graphs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.06342","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":"sha256:3939c6a2741e2e0b1c86487ae41d78efda69ad726f11ec164a5813685d896c44","target":"record","created_at":"2026-05-18T02:27:20Z","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":"3a14351cf198423798223da92815759b3aca652d3609b31f7375da71269558a2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2015-01-26T11:33:45Z","title_canon_sha256":"ecd987dea4eabb5002590774047cba9c194c4ec218be4b24d6f7de86d1b99d9d"},"schema_version":"1.0","source":{"id":"1501.06342","kind":"arxiv","version":2}},"canonical_sha256":"0dd4007fbcfed22f9723fe8d3b852c133927d35f1c743e04ddabb2a5deadd1ca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0dd4007fbcfed22f9723fe8d3b852c133927d35f1c743e04ddabb2a5deadd1ca","first_computed_at":"2026-05-18T02:27:20.725744Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:27:20.725744Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pXVK+futlVXJIZZoRZZjQTYK/0vsuYEc6e2NV3PF5FO+GlADefP4m1o6OxhssOKj/rzSbR9QqcC9x/r3XEtAAA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:27:20.726458Z","signed_message":"canonical_sha256_bytes"},"source_id":"1501.06342","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3939c6a2741e2e0b1c86487ae41d78efda69ad726f11ec164a5813685d896c44","sha256:30ae8844bff2695f3738a6abc32b1f30eb91b9e28e148ba671d5c63e03f81f96"],"state_sha256":"28424eff660c4000f682e751795daad41bf9d3bfef4ae125333379a923ef2160"}