{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UYP5EXODVSCLXDRBW5EIMMNOBS","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":"2acf512a11ad84ffb4be4e679f15d8846a8117e4e6a2378aacff4846037dc72c","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-04-08T04:24:41Z","title_canon_sha256":"abb1cf5225df70cc12e51a4a69d9e684a3f63c3b0e5614a7a13bf778cd2ba7e8"},"schema_version":"1.0","source":{"id":"1604.02224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.02224","created_at":"2026-05-18T00:53:08Z"},{"alias_kind":"arxiv_version","alias_value":"1604.02224v1","created_at":"2026-05-18T00:53:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.02224","created_at":"2026-05-18T00:53:08Z"},{"alias_kind":"pith_short_12","alias_value":"UYP5EXODVSCL","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UYP5EXODVSCLXDRB","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UYP5EXOD","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:a1bf4ea1a8261ed3c37214d2b88c2b2195b2e4008b7308f8297b7b7dc8bed950","target":"graph","created_at":"2026-05-18T00:53:08Z","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 Letter, we address the longstanding challenge of how to reconstruct links in directed networks from measurements, and present a general method that makes use of a noise-induced relation between network structure and both the time-lagged covariance of measurements taken at two different times and the covariance of measurements taken at the same time. For coupling functions that have additional properties, we can further reconstruct the weights of the links.","authors_text":"Emily S.C. Ching, H.C. Tam","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-04-08T04:24:41Z","title":"Reconstructing Links in Directed Networks from Noisy Dynamics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.02224","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":"sha256:577a909b0bb63fe69a205df0c4dbbd94b092cdca6f3c826c01ac67c2b63118e7","target":"record","created_at":"2026-05-18T00:53:08Z","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":"2acf512a11ad84ffb4be4e679f15d8846a8117e4e6a2378aacff4846037dc72c","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.AO","submitted_at":"2016-04-08T04:24:41Z","title_canon_sha256":"abb1cf5225df70cc12e51a4a69d9e684a3f63c3b0e5614a7a13bf778cd2ba7e8"},"schema_version":"1.0","source":{"id":"1604.02224","kind":"arxiv","version":1}},"canonical_sha256":"a61fd25dc3ac84bb8e21b7488631ae0c80428005547c7cf0063a367db4be3614","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a61fd25dc3ac84bb8e21b7488631ae0c80428005547c7cf0063a367db4be3614","first_computed_at":"2026-05-18T00:53:08.336113Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:53:08.336113Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lrq89nhVRj9RekOwuxlDNJm9ZMDqPUoDynonROMNQUsbP4ruHDaoGlw6DKVpnWzspZ6eNf9cizVHrfCLhlvGBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:53:08.336494Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.02224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:577a909b0bb63fe69a205df0c4dbbd94b092cdca6f3c826c01ac67c2b63118e7","sha256:a1bf4ea1a8261ed3c37214d2b88c2b2195b2e4008b7308f8297b7b7dc8bed950"],"state_sha256":"658e9d3ab056fed81d895a8910549dd4a3a6577ec5fc8de9d977feb40a5c4ff6"}