{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:GKNP6SHYCHJ2DVJRMBFVCR4D2D","short_pith_number":"pith:GKNP6SHY","canonical_record":{"source":{"id":"1803.00851","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-02T14:02:04Z","cross_cats_sorted":[],"title_canon_sha256":"3e378674abe416cfb057daabaf951118c3776e72fda628f9709bc502fdbbe7a6","abstract_canon_sha256":"58fa76bdd90833a88b25c211841cf843db393fd9459b4413f86f556557f5cd79"},"schema_version":"1.0"},"canonical_sha256":"329aff48f811d3a1d531604b514783d0d8c84b16fb8d4f765ff6e6d587af40f0","source":{"kind":"arxiv","id":"1803.00851","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00851","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00851v2","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00851","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"GKNP6SHYCHJ2","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GKNP6SHYCHJ2DVJR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GKNP6SHY","created_at":"2026-05-18T12:32:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:GKNP6SHYCHJ2DVJRMBFVCR4D2D","target":"record","payload":{"canonical_record":{"source":{"id":"1803.00851","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-02T14:02:04Z","cross_cats_sorted":[],"title_canon_sha256":"3e378674abe416cfb057daabaf951118c3776e72fda628f9709bc502fdbbe7a6","abstract_canon_sha256":"58fa76bdd90833a88b25c211841cf843db393fd9459b4413f86f556557f5cd79"},"schema_version":"1.0"},"canonical_sha256":"329aff48f811d3a1d531604b514783d0d8c84b16fb8d4f765ff6e6d587af40f0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:47:07.467069Z","signature_b64":"IuD5krypkJHb21kzf7vYG861fsL1nLPonWp429d1vS9Td8lxtAPM+7XAQndcO97uU6+OjqqB95wKZx6/Tn42Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"329aff48f811d3a1d531604b514783d0d8c84b16fb8d4f765ff6e6d587af40f0","last_reissued_at":"2026-05-17T23:47:07.466428Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:47:07.466428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1803.00851","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l4Cjf9preU1ht678kovE0qdZk99SICoSIgg+12MLBba4/7I7YeVERmTjfjxEpBvKIjP1e7I8HxINTkDLUsgYAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:15:43.732802Z"},"content_sha256":"9877035004811c28b07d387f24eb3d3dd7a8da36a43c092d17116f69caaa32e7","schema_version":"1.0","event_id":"sha256:9877035004811c28b07d387f24eb3d3dd7a8da36a43c092d17116f69caaa32e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:GKNP6SHYCHJ2DVJRMBFVCR4D2D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A nonlinear graph-based theory for dynamical network observability","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"nlin.CD","authors_text":"Christophe Letellier, Irene Sendi\\~na-Nadal, Luis A. Aguirre","submitted_at":"2018-03-02T14:02:04Z","abstract_excerpt":"A faithful description of the state of a complex dynamical network would require, in principle, the measurement of all its $d$ variables, an infeasible task for systems with practical limited access and composed of many nodes with high dimensional dynamics. However, even if the network dynamics is observable from a reduced set of measured variables, how to reliably identifying such a minimum set of variables providing full observability remains an unsolved problem. From the Jacobian matrix of the governing equations of nonlinear systems, we construct a {\\it pruned fluence graph} in which the n"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00851","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:47:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ff317hEop+73nTX2H3gwPxfVqHCEnI3sDD+MZN5pnvDSiNs40laxL6uRataue/7e60v1ne2uMFgGZ4DlZrqEAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T18:15:43.733517Z"},"content_sha256":"d8b319734b22135d6a06db635bf49019541a2ba9d803154d26016ef52749bb2a","schema_version":"1.0","event_id":"sha256:d8b319734b22135d6a06db635bf49019541a2ba9d803154d26016ef52749bb2a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D/bundle.json","state_url":"https://pith.science/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-31T18:15:43Z","links":{"resolver":"https://pith.science/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D","bundle":"https://pith.science/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D/bundle.json","state":"https://pith.science/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GKNP6SHYCHJ2DVJRMBFVCR4D2D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:GKNP6SHYCHJ2DVJRMBFVCR4D2D","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":"58fa76bdd90833a88b25c211841cf843db393fd9459b4413f86f556557f5cd79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-02T14:02:04Z","title_canon_sha256":"3e378674abe416cfb057daabaf951118c3776e72fda628f9709bc502fdbbe7a6"},"schema_version":"1.0","source":{"id":"1803.00851","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.00851","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"arxiv_version","alias_value":"1803.00851v2","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.00851","created_at":"2026-05-17T23:47:07Z"},{"alias_kind":"pith_short_12","alias_value":"GKNP6SHYCHJ2","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_16","alias_value":"GKNP6SHYCHJ2DVJR","created_at":"2026-05-18T12:32:25Z"},{"alias_kind":"pith_short_8","alias_value":"GKNP6SHY","created_at":"2026-05-18T12:32:25Z"}],"graph_snapshots":[{"event_id":"sha256:d8b319734b22135d6a06db635bf49019541a2ba9d803154d26016ef52749bb2a","target":"graph","created_at":"2026-05-17T23:47:07Z","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":"A faithful description of the state of a complex dynamical network would require, in principle, the measurement of all its $d$ variables, an infeasible task for systems with practical limited access and composed of many nodes with high dimensional dynamics. However, even if the network dynamics is observable from a reduced set of measured variables, how to reliably identifying such a minimum set of variables providing full observability remains an unsolved problem. From the Jacobian matrix of the governing equations of nonlinear systems, we construct a {\\it pruned fluence graph} in which the n","authors_text":"Christophe Letellier, Irene Sendi\\~na-Nadal, Luis A. Aguirre","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-02T14:02:04Z","title":"A nonlinear graph-based theory for dynamical network observability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.00851","kind":"arxiv","version":2},"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":"sha256:9877035004811c28b07d387f24eb3d3dd7a8da36a43c092d17116f69caaa32e7","target":"record","created_at":"2026-05-17T23:47:07Z","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":"58fa76bdd90833a88b25c211841cf843db393fd9459b4413f86f556557f5cd79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"nlin.CD","submitted_at":"2018-03-02T14:02:04Z","title_canon_sha256":"3e378674abe416cfb057daabaf951118c3776e72fda628f9709bc502fdbbe7a6"},"schema_version":"1.0","source":{"id":"1803.00851","kind":"arxiv","version":2}},"canonical_sha256":"329aff48f811d3a1d531604b514783d0d8c84b16fb8d4f765ff6e6d587af40f0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"329aff48f811d3a1d531604b514783d0d8c84b16fb8d4f765ff6e6d587af40f0","first_computed_at":"2026-05-17T23:47:07.466428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:47:07.466428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IuD5krypkJHb21kzf7vYG861fsL1nLPonWp429d1vS9Td8lxtAPM+7XAQndcO97uU6+OjqqB95wKZx6/Tn42Cg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:47:07.467069Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.00851","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9877035004811c28b07d387f24eb3d3dd7a8da36a43c092d17116f69caaa32e7","sha256:d8b319734b22135d6a06db635bf49019541a2ba9d803154d26016ef52749bb2a"],"state_sha256":"6a4ccf5f1ae4b5e35ff5df101bffd23db1a35b0b0c5932c7c533cff3400b2928"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hNdHt/RpyrggAjzWW1vWyW3i+d9ubZxEPK4nIUk47qLYSodoJwgJcCe6A4JDZ4ude+WyhrGY4J1g6n3vnK5DBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T18:15:43.737412Z","bundle_sha256":"6021a2a407f1114c41c279a5b71bbf861da6467705f336e99130851c6c48c372"}}