{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:Q4TDN2RJXEYY3KOOH52JMUSR3Y","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":"109f2a1c84d6b7067ac5c0eb236139a0ce3f0e3c88a79b4ca235f93da167062d","cross_cats_sorted":["cs.CL","cs.MA","cs.SY","eess.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-07T05:48:17Z","title_canon_sha256":"7c2378a7f5606a37ab89e1dc6733fa1f02d02466e432695992f4c12ad78c93d4"},"schema_version":"1.0","source":{"id":"2607.09765","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.09765","created_at":"2026-07-14T00:18:34Z"},{"alias_kind":"arxiv_version","alias_value":"2607.09765v1","created_at":"2026-07-14T00:18:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.09765","created_at":"2026-07-14T00:18:34Z"},{"alias_kind":"pith_short_12","alias_value":"Q4TDN2RJXEYY","created_at":"2026-07-14T00:18:34Z"},{"alias_kind":"pith_short_16","alias_value":"Q4TDN2RJXEYY3KOO","created_at":"2026-07-14T00:18:34Z"},{"alias_kind":"pith_short_8","alias_value":"Q4TDN2RJ","created_at":"2026-07-14T00:18:34Z"}],"graph_snapshots":[{"event_id":"sha256:686b64c099eed722ad9496548ddec98c662d256442428f6c99667e5ae564c5d4","target":"graph","created_at":"2026-07-14T00:18:34Z","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/2607.09765/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A cheap swarm of unreliable agents can be steered to a correct consensus by a few strong, expensive \"oracle\" correctors. We ask how much one must spend, and where to place the oracles. We model the swarm as a consensus on a graph in which each oracle pins one node toward the truth at a cost-coupled, concave strength, and measure quality by the coherence H(R)=tr M(R)^{-1}. Our first result is that H stays submodular (each added oracle helps less than the last) even when the oracles differ in strength, so a cost-benefit greedy comes within 1-1/e of the best placement at any budget. Inverting the","authors_text":"Igor Itkin","cross_cats":["cs.CL","cs.MA","cs.SY","eess.SY","math.OC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-07T05:48:17Z","title":"How Much Does Correctness Cost? Budgeted Placement of Strong Correctors in a Weak Multi-Agent Swarm"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.09765","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":"sha256:1ed97a7d9ac8814846c4838b9e39d96134ee790e40a8a61ed9d1db1d9b84aac2","target":"record","created_at":"2026-07-14T00:18:34Z","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":"109f2a1c84d6b7067ac5c0eb236139a0ce3f0e3c88a79b4ca235f93da167062d","cross_cats_sorted":["cs.CL","cs.MA","cs.SY","eess.SY","math.OC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2026-07-07T05:48:17Z","title_canon_sha256":"7c2378a7f5606a37ab89e1dc6733fa1f02d02466e432695992f4c12ad78c93d4"},"schema_version":"1.0","source":{"id":"2607.09765","kind":"arxiv","version":1}},"canonical_sha256":"872636ea29b9318da9ce3f74965251de379eff8a04003fa137c87131c7461796","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"872636ea29b9318da9ce3f74965251de379eff8a04003fa137c87131c7461796","first_computed_at":"2026-07-14T00:18:34.541141Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-14T00:18:34.541141Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q+0mhho/SMnIrtwX8mejYEBJFkFIDyFtG7FRvn44Aqi2qzTuX5GVoIQZwbNVx+52a/slt0qBuV2dUjIpgOlwBA==","signature_status":"signed_v1","signed_at":"2026-07-14T00:18:34.542063Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.09765","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ed97a7d9ac8814846c4838b9e39d96134ee790e40a8a61ed9d1db1d9b84aac2","sha256:686b64c099eed722ad9496548ddec98c662d256442428f6c99667e5ae564c5d4"],"state_sha256":"7db49a1d7b6a91d75f8ad1bc2824f55bcdb15fcc29b57b338a3905688ccd1ac5"}