{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:XNY6JFVXQXGXUWH2FKIGFLGC4U","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":"51666c425f90746ce73809783fa8a130f8c6292614a2d68f0bd0ccb49c42d877","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-01-25T22:03:25Z","title_canon_sha256":"fb07b32d5e09e99412f6e57c9f96f6b68390e06105f4d20e6f12225c44a6165c"},"schema_version":"1.0","source":{"id":"1101.4963","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1101.4963","created_at":"2026-05-18T02:22:49Z"},{"alias_kind":"arxiv_version","alias_value":"1101.4963v4","created_at":"2026-05-18T02:22:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1101.4963","created_at":"2026-05-18T02:22:49Z"},{"alias_kind":"pith_short_12","alias_value":"XNY6JFVXQXGX","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"XNY6JFVXQXGXUWH2","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"XNY6JFVX","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:2a8eb30091d7c03521d38924653bd8dccfe9bf5f9b731e837584d4471bad9062","target":"graph","created_at":"2026-05-18T02:22:49Z","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":"We employ Monte Carlo simulations to numerically study the temporal evolution and transient oscillations of the population densities, the associated frequency power spectra, and the spatial correlation functions in the (quasi-)steady state in two-dimensional stochastic May--Leonard models of mobile individuals, allowing for particle exchanges with nearest-neighbors and hopping onto empty sites. We therefore consider a class of four-state three-species cyclic predator-prey models whose total particle number is not conserved. We demonstrate that quenched disorder in either the reaction or in the","authors_text":"Mauro Mobilia (University of Leeds), Qian He (Virginia Tech), Uwe C. Tauber (Virginia Tech)","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-01-25T22:03:25Z","title":"Co-existence in the two-dimensional May-Leonard model with random rates"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1101.4963","kind":"arxiv","version":4},"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":"sha256:3d34dd6d4193f197273162770c954dc36df54f2dadffe6526fe7b46a67096856","target":"record","created_at":"2026-05-18T02:22:49Z","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":"51666c425f90746ce73809783fa8a130f8c6292614a2d68f0bd0ccb49c42d877","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2011-01-25T22:03:25Z","title_canon_sha256":"fb07b32d5e09e99412f6e57c9f96f6b68390e06105f4d20e6f12225c44a6165c"},"schema_version":"1.0","source":{"id":"1101.4963","kind":"arxiv","version":4}},"canonical_sha256":"bb71e496b785cd7a58fa2a9062acc2e507555a5d983b3b9b5f87826aa485e97a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb71e496b785cd7a58fa2a9062acc2e507555a5d983b3b9b5f87826aa485e97a","first_computed_at":"2026-05-18T02:22:49.717777Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:22:49.717777Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uuXHECl/UipX/RSjMN1oq49DCeMk54eQNaaoulGSuFQ3wPmEqAkXRDErSDXe3nYhekPib8kd4F4h/W75eEQrBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:22:49.718601Z","signed_message":"canonical_sha256_bytes"},"source_id":"1101.4963","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3d34dd6d4193f197273162770c954dc36df54f2dadffe6526fe7b46a67096856","sha256:2a8eb30091d7c03521d38924653bd8dccfe9bf5f9b731e837584d4471bad9062"],"state_sha256":"9dfc6f169e897302d232c09a28a9dcd2a2135bf210b0bb0896ffe7dba11d0100"}