{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:5D52OT3E2BWTXOFCFUR6RLS73Y","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":"a90d4be5f22ab25b6704d3ff4ea1ce31c735da2ad9511d54421436561700d829","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-01-12T02:57:55Z","title_canon_sha256":"4c99d8c346fe0a79936ca5dfd758521f5e10963c3e4125d07b7cc741c4f48049"},"schema_version":"1.0","source":{"id":"1201.2467","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.2467","created_at":"2026-05-18T03:51:35Z"},{"alias_kind":"arxiv_version","alias_value":"1201.2467v1","created_at":"2026-05-18T03:51:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.2467","created_at":"2026-05-18T03:51:35Z"},{"alias_kind":"pith_short_12","alias_value":"5D52OT3E2BWT","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"5D52OT3E2BWTXOFC","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"5D52OT3E","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:2885152692ecc803f2e8acc8856794766eec99aae2d33ec4e4e39d046ac27e9c","target":"graph","created_at":"2026-05-18T03:51:35Z","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":"It is known (see e.g. Weibull (1995)) that ESS is not robust against multiple mutations. In this article, we introduce robustness against multiple mutations and study some equivalent formulations and consequences.","authors_text":"A. J. Shaiju, Anirban Ghatak, K. S. Mallikarjuna Rao","cross_cats":["q-bio.PE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-01-12T02:57:55Z","title":"Evolutionary Stability Against Multiple Mutations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.2467","kind":"arxiv","version":1},"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":"sha256:7451fde7b528281a88a110e2113998d30ed9e4e85dc58e888b06fa11cacaf67b","target":"record","created_at":"2026-05-18T03:51:35Z","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":"a90d4be5f22ab25b6704d3ff4ea1ce31c735da2ad9511d54421436561700d829","cross_cats_sorted":["q-bio.PE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2012-01-12T02:57:55Z","title_canon_sha256":"4c99d8c346fe0a79936ca5dfd758521f5e10963c3e4125d07b7cc741c4f48049"},"schema_version":"1.0","source":{"id":"1201.2467","kind":"arxiv","version":1}},"canonical_sha256":"e8fba74f64d06d3bb8a22d23e8ae5fde23ae862b94424d691fd5a45847028120","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e8fba74f64d06d3bb8a22d23e8ae5fde23ae862b94424d691fd5a45847028120","first_computed_at":"2026-05-18T03:51:35.572275Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:51:35.572275Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sXNauT/D6G6Wf9jXjSVguv4DW7y0h9qkM9mR99uujnf5WLGxLDn45v8evNHseWEmTUTyYkYOW713uX0oKgi2Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:51:35.572802Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.2467","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7451fde7b528281a88a110e2113998d30ed9e4e85dc58e888b06fa11cacaf67b","sha256:2885152692ecc803f2e8acc8856794766eec99aae2d33ec4e4e39d046ac27e9c"],"state_sha256":"722eb8cc269b25eda6632510d79dd2bfb13c9231ed3592e50552ca619d0bd8ec"}