{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:T3ZUXOCBS34K6LGXYL66ZB746L","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":"de8e9e4373ef108ff75dab6f235c6f5b3ac6221ef77947bc737548cac995b43a","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-06-30T22:10:19Z","title_canon_sha256":"521438be8f4b66e5cda3efba02fbc1951d0be60d6670dd9030e37b789422e310"},"schema_version":"1.0","source":{"id":"2607.00227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.00227","created_at":"2026-07-02T00:18:40Z"},{"alias_kind":"arxiv_version","alias_value":"2607.00227v1","created_at":"2026-07-02T00:18:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.00227","created_at":"2026-07-02T00:18:40Z"},{"alias_kind":"pith_short_12","alias_value":"T3ZUXOCBS34K","created_at":"2026-07-02T00:18:40Z"},{"alias_kind":"pith_short_16","alias_value":"T3ZUXOCBS34K6LGX","created_at":"2026-07-02T00:18:40Z"},{"alias_kind":"pith_short_8","alias_value":"T3ZUXOCB","created_at":"2026-07-02T00:18:40Z"}],"graph_snapshots":[{"event_id":"sha256:46c5c000d855e57451a4670ee610c1017215b635e04178fc9b39ae0962df4e56","target":"graph","created_at":"2026-07-02T00:18:40Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2607.00227/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We model an adaptive contest in which two antagonistically coupled populations continually reallocate effort among competing methods, but decisions are not fielded instantly. Each side has an intended portfolio and a deployed portfolio: intended reallocations follow delayed observations of the opponent, while deployment follows intent through a first-order implementation filter. Under barycentric balance and uniform exploration, the linearized scalar branches have a characteristic factor in which hard observation and deployment lags enter only through their total sum, whereas implementation ra","authors_text":"Alexander Omelchenko","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-06-30T22:10:19Z","title":"Implementation Filters and Delay-Budget Instability in Coupled Replicator--Mutator Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.00227","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:cb241b32f2fd9ba468dcc79649d74cc111c0bc533f168a2dd3e176f4a87e76d9","target":"record","created_at":"2026-07-02T00:18:40Z","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":"de8e9e4373ef108ff75dab6f235c6f5b3ac6221ef77947bc737548cac995b43a","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2026-06-30T22:10:19Z","title_canon_sha256":"521438be8f4b66e5cda3efba02fbc1951d0be60d6670dd9030e37b789422e310"},"schema_version":"1.0","source":{"id":"2607.00227","kind":"arxiv","version":1}},"canonical_sha256":"9ef34bb84196f8af2cd7c2fdec87fcf2c24176e14e3f2aaf5282453afbc28690","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9ef34bb84196f8af2cd7c2fdec87fcf2c24176e14e3f2aaf5282453afbc28690","first_computed_at":"2026-07-02T00:18:40.055771Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-02T00:18:40.055771Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YHN2p4HqMU8Vm3lLkDYxAiSw+WDsPc7vAyvTumaxHpNsstiorz5ZHcSaEf76rw3yU7BSEL9gwGDQx3pKPG7IBg==","signature_status":"signed_v1","signed_at":"2026-07-02T00:18:40.056514Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.00227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cb241b32f2fd9ba468dcc79649d74cc111c0bc533f168a2dd3e176f4a87e76d9","sha256:46c5c000d855e57451a4670ee610c1017215b635e04178fc9b39ae0962df4e56"],"state_sha256":"d06d1bbd41a76c022e25bb8d3f1e5bcd0258b6b13ea214a426820c7382ba3a3a"}