{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:LTOSZYH7I4HUMVC5OUCPBZGTKH","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":"3d02907ac49f45587ed8a86eea122d903605ce10b583b43817cb6dabd3bad390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-07-21T08:03:34Z","title_canon_sha256":"0d3e4f02ecacd913d86a6c2952ac78fe0cb4653d604866429c4e9d601feb1b41"},"schema_version":"1.0","source":{"id":"1607.06225","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.06225","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"1607.06225v2","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.06225","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"LTOSZYH7I4HU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"LTOSZYH7I4HUMVC5","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"LTOSZYH7","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:fa561f96b63eee485ec5a2a6744b6f0a836fa90456191bcbaa8e10408f43bff5","target":"graph","created_at":"2026-05-18T00:02:28Z","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":"In this work we study the likelihood of survival of single-species in the context of hostile and disordered environments. Population dynamics in this environment, as modeled by the Fisher equation, is characterized by negative average growth rate, except in some random spatially distributed patches that may support life. In particular, we are interested in the phase diagram of the survival probability and in the critical size problem, i.e., the minimum patch size required for surviving in the long time dynamics. We propose a measure for the critical patch size as being proportional to the part","authors_text":"Amos Maritan, Rodrigo P. Rocha, Samir Suweis, Wagner Figueiredo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-07-21T08:03:34Z","title":"Species survival and scaling laws in hostile and disordered environments"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.06225","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":"sha256:1fabf776da69555d1b82be9cabf41da2e2573ab39dd60eaecdcc7dac49d0eec2","target":"record","created_at":"2026-05-18T00:02:28Z","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":"3d02907ac49f45587ed8a86eea122d903605ce10b583b43817cb6dabd3bad390","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.PE","submitted_at":"2016-07-21T08:03:34Z","title_canon_sha256":"0d3e4f02ecacd913d86a6c2952ac78fe0cb4653d604866429c4e9d601feb1b41"},"schema_version":"1.0","source":{"id":"1607.06225","kind":"arxiv","version":2}},"canonical_sha256":"5cdd2ce0ff470f46545d7504f0e4d351e0d8e0af4775ea43979fae201152948d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5cdd2ce0ff470f46545d7504f0e4d351e0d8e0af4775ea43979fae201152948d","first_computed_at":"2026-05-18T00:02:28.428090Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:28.428090Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W+sEsS8APaqGtahvH5iCKx+FxTbjLFe9Sh7i5T25UBYvx5oMCOjWtHy5S8xrpWD5zUtA85/XcaYlgvzUVhylCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:28.428700Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.06225","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1fabf776da69555d1b82be9cabf41da2e2573ab39dd60eaecdcc7dac49d0eec2","sha256:fa561f96b63eee485ec5a2a6744b6f0a836fa90456191bcbaa8e10408f43bff5"],"state_sha256":"eeaf8549bb16bf9ee706eb2d2163f121edefde96ec0f0f338f99fad943502031"}