{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:NSLVCXMBVRZMUX4S576L733QZK","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":"9d78ca4164fb6df4e770356f535f1667e90dcfcfdabf297a02f5d40b75455869","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-01-05T08:39:15Z","title_canon_sha256":"d2560476c6b04e9c05029681cd8d424fbfe45740c5db9eeb808fc53454ae2177"},"schema_version":"1.0","source":{"id":"1201.1083","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1083","created_at":"2026-05-18T03:43:42Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1083v1","created_at":"2026-05-18T03:43:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1083","created_at":"2026-05-18T03:43:42Z"},{"alias_kind":"pith_short_12","alias_value":"NSLVCXMBVRZM","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_16","alias_value":"NSLVCXMBVRZMUX4S","created_at":"2026-05-18T12:27:16Z"},{"alias_kind":"pith_short_8","alias_value":"NSLVCXMB","created_at":"2026-05-18T12:27:16Z"}],"graph_snapshots":[{"event_id":"sha256:1875adb866ec454be88fb0e749874e2e5dbf4b62dbfe51e71cacf12bf4491487","target":"graph","created_at":"2026-05-18T03:43:42Z","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 demonstrate how the collective response of $N$ globally coupled bistable elements can strongly reflect the presence of very few non-identical elements in a large array of otherwise identical elements. Counter-intuitively, when there are a small number of elements with natural stable state different from the bulk of the elements, {\\em all} the elements of the system evolve to the stable state of the minority due to strong coupling. The critical fraction of distinct elements needed to produce this swing shows a sharp transition with increasing $N$, scaling as $1/\\sqrt{N}$. Furthermore, one ca","authors_text":"Kamal P. Singh, Rajeev Kapri, Sudeshna Sinha","cross_cats":["cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-01-05T08:39:15Z","title":"Scalable ultra-sensitive detection of heterogeneity via coupled bistable dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1083","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:a2c3a04153d3895553e0119ba57417093d1b0d8ba477e413fe4c742bd7322035","target":"record","created_at":"2026-05-18T03:43:42Z","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":"9d78ca4164fb6df4e770356f535f1667e90dcfcfdabf297a02f5d40b75455869","cross_cats_sorted":["cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2012-01-05T08:39:15Z","title_canon_sha256":"d2560476c6b04e9c05029681cd8d424fbfe45740c5db9eeb808fc53454ae2177"},"schema_version":"1.0","source":{"id":"1201.1083","kind":"arxiv","version":1}},"canonical_sha256":"6c97515d81ac72ca5f92effcbfef70cab09f950b4d346225975f568a8e2c7b52","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c97515d81ac72ca5f92effcbfef70cab09f950b4d346225975f568a8e2c7b52","first_computed_at":"2026-05-18T03:43:42.379581Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:43:42.379581Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ubhULqWiiGMsrfKRNRu1kJLqM4sRsQ7p4UYvVtbDhwWYC2ZlYrCRdy/+Bm+PJsnMJnsDg93coI4BHNmsDDfXAw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:43:42.380188Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1083","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a2c3a04153d3895553e0119ba57417093d1b0d8ba477e413fe4c742bd7322035","sha256:1875adb866ec454be88fb0e749874e2e5dbf4b62dbfe51e71cacf12bf4491487"],"state_sha256":"90c9eced6f0379b987622869f3f4c48ecff5d37b1b5448a2d9cf23e54e32b7f9"}