{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:SZNKFGA6NAGJFJJ775PZNBDP7U","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":"db431206cfc9e981f28158b22fd8ea42db37ec8da770ee8798cfea9d7094cf50","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-05T13:25:17Z","title_canon_sha256":"dd72383bb758a56379c15c079c898b11e063b0d2e73c965a409d6d568871b3c1"},"schema_version":"1.0","source":{"id":"1802.01381","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.01381","created_at":"2026-05-18T00:24:26Z"},{"alias_kind":"arxiv_version","alias_value":"1802.01381v1","created_at":"2026-05-18T00:24:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.01381","created_at":"2026-05-18T00:24:26Z"},{"alias_kind":"pith_short_12","alias_value":"SZNKFGA6NAGJ","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_16","alias_value":"SZNKFGA6NAGJFJJ7","created_at":"2026-05-18T12:32:53Z"},{"alias_kind":"pith_short_8","alias_value":"SZNKFGA6","created_at":"2026-05-18T12:32:53Z"}],"graph_snapshots":[{"event_id":"sha256:5d77f0337ea1e07987283511651ed04f8544717705e18640cbfb77dd57f7a5e1","target":"graph","created_at":"2026-05-18T00:24:26Z","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":"Although largely different concepts, echo state networks and compressed sensing models both rely on collections of random weights; as the reservoir dynamics for echo state networks, and the sensing coefficients in compressed sensing. Several methods for generating the random matrices and metrics to indicate desirable performance are well-studied in compressed sensing, but less so for echo state networks. This work explores any overlap in these compressed sensing methods and metrics for application to echo state networks. Several methods for generating the random reservoir weights are considere","authors_text":"Ashley Prater-Bennette","cross_cats":["eess.SP","math.IT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-05T13:25:17Z","title":"Randomness and isometries in echo state networks and compressed sensing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.01381","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:b06f527d48beb994cc2cc47dfad8249df1e015175ed403fb738afcf7d09160a5","target":"record","created_at":"2026-05-18T00:24:26Z","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":"db431206cfc9e981f28158b22fd8ea42db37ec8da770ee8798cfea9d7094cf50","cross_cats_sorted":["eess.SP","math.IT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.IT","submitted_at":"2018-02-05T13:25:17Z","title_canon_sha256":"dd72383bb758a56379c15c079c898b11e063b0d2e73c965a409d6d568871b3c1"},"schema_version":"1.0","source":{"id":"1802.01381","kind":"arxiv","version":1}},"canonical_sha256":"965aa2981e680c92a53fff5f96846ffd17960e043dc82baf30ce90d67189bba5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"965aa2981e680c92a53fff5f96846ffd17960e043dc82baf30ce90d67189bba5","first_computed_at":"2026-05-18T00:24:26.542051Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:26.542051Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CyUWQRx9STVDhbGIy0hI06mlUgIIf95Bg4HqKYsRx3d/0QyiTw0n2gHGuxD8AyyyKkqVz13DMtMVga0B26lIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:26.542537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.01381","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b06f527d48beb994cc2cc47dfad8249df1e015175ed403fb738afcf7d09160a5","sha256:5d77f0337ea1e07987283511651ed04f8544717705e18640cbfb77dd57f7a5e1"],"state_sha256":"a55ff3bd3a26bee712355940c98f556f1ef13bab6fb51e295211c536c3b759ad"}