{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:TP2QJTG7L2UGM2VFQWBPRSPAI2","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":"81d60cc577fd955b9321924d65251cdabefd5920525496fb554b88f278b48c8d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-10-17T13:03:03Z","title_canon_sha256":"8331770860656912a574a7ec36a3e093f1755dc91e27fceb58864fc0926e60c0"},"schema_version":"1.0","source":{"id":"1310.4688","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1310.4688","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"arxiv_version","alias_value":"1310.4688v1","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1310.4688","created_at":"2026-05-18T03:10:13Z"},{"alias_kind":"pith_short_12","alias_value":"TP2QJTG7L2UG","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_16","alias_value":"TP2QJTG7L2UGM2VF","created_at":"2026-05-18T12:28:02Z"},{"alias_kind":"pith_short_8","alias_value":"TP2QJTG7","created_at":"2026-05-18T12:28:02Z"}],"graph_snapshots":[{"event_id":"sha256:b33b1f1e914ebc2c7925aebba56f5acb5bb175d68d5fdd7ad6fbfb63991f627a","target":"graph","created_at":"2026-05-18T03:10:13Z","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":"This paper generalizes the classical Hautus Test to systems described by partial differential equations.","authors_text":"Shiva Shankar","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-10-17T13:03:03Z","title":"The Hautus Test and Genericity Results for Controllable and Uncontrollable Behaviors"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.4688","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":"sha256:4b88a4ed1c2907adc3a2d4d7ec604124aca0e15937c8983f61b0027f7f970eee","target":"record","created_at":"2026-05-18T03:10:13Z","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":"81d60cc577fd955b9321924d65251cdabefd5920525496fb554b88f278b48c8d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2013-10-17T13:03:03Z","title_canon_sha256":"8331770860656912a574a7ec36a3e093f1755dc91e27fceb58864fc0926e60c0"},"schema_version":"1.0","source":{"id":"1310.4688","kind":"arxiv","version":1}},"canonical_sha256":"9bf504ccdf5ea8666aa58582f8c9e046aaf563a38d7d8542c8f688efa59a3fb0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9bf504ccdf5ea8666aa58582f8c9e046aaf563a38d7d8542c8f688efa59a3fb0","first_computed_at":"2026-05-18T03:10:13.215217Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:13.215217Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OgQEM/ErrfRsIdqDB1T2++Bb1FnJOIjaDL5VkG3bEVdkEB7LQh3eNQSXqOI15ei2QnPNFLmUgf3XvQmPc7ThBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:13.215866Z","signed_message":"canonical_sha256_bytes"},"source_id":"1310.4688","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4b88a4ed1c2907adc3a2d4d7ec604124aca0e15937c8983f61b0027f7f970eee","sha256:b33b1f1e914ebc2c7925aebba56f5acb5bb175d68d5fdd7ad6fbfb63991f627a"],"state_sha256":"4e89cab313f42cfad79d4e13d9561dbd5026c1b883da0070e4622ec489ace4c6"}