{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:TY3BFWQ5LNQ7UBHUYYCIW6TIBF","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":"132b1b0e5e95a37c8bc018e7c7d6f80f44e91641cbead398735df52cb7fdf079","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-03-20T10:49:36Z","title_canon_sha256":"03d4eaddf407d29b770e4a4a9f873172f6367aa2bcdba2ca2f345eb83514eeaf"},"schema_version":"1.0","source":{"id":"1703.06664","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1703.06664","created_at":"2026-05-18T00:48:22Z"},{"alias_kind":"arxiv_version","alias_value":"1703.06664v1","created_at":"2026-05-18T00:48:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1703.06664","created_at":"2026-05-18T00:48:22Z"},{"alias_kind":"pith_short_12","alias_value":"TY3BFWQ5LNQ7","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"TY3BFWQ5LNQ7UBHU","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"TY3BFWQ5","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:4a43e3a14e4ed0f422aa168cca2dd97f0585935bdac1bc09049c71db7366b81b","target":"graph","created_at":"2026-05-18T00:48:22Z","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":"The Echo State Network (ESN) is a specific recurrent network, which has gained popularity during the last years. The model has a recurrent network named reservoir, that is fixed during the learning process. The reservoir is used for transforming the input space in a larger space. A fundamental property that provokes an impact on the model accuracy is the Echo State Property (ESP). There are two main theoretical results related to the ESP. First, a sufficient condition for the ESP existence that involves the singular values of the reservoir matrix. Second, a necessary condition for the ESP. The","authors_text":"Sebasti\\'an Basterrech","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-03-20T10:49:36Z","title":"Empirical Analysis of the Necessary and Sufficient Conditions of the Echo State Property"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1703.06664","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":"sha256:7673ff6a146e1f13baa08d1a31a3b8770849985fcaf37516e74a1748549d236e","target":"record","created_at":"2026-05-18T00:48:22Z","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":"132b1b0e5e95a37c8bc018e7c7d6f80f44e91641cbead398735df52cb7fdf079","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2017-03-20T10:49:36Z","title_canon_sha256":"03d4eaddf407d29b770e4a4a9f873172f6367aa2bcdba2ca2f345eb83514eeaf"},"schema_version":"1.0","source":{"id":"1703.06664","kind":"arxiv","version":1}},"canonical_sha256":"9e3612da1d5b61fa04f4c6048b7a6809592768bee460ad5162fae8ab4df7d60a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e3612da1d5b61fa04f4c6048b7a6809592768bee460ad5162fae8ab4df7d60a","first_computed_at":"2026-05-18T00:48:22.091295Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:22.091295Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AFbI3ud28ry026PXGU7LXiIAXE1GQSnf0BtJMqhEY4PfDMK9+BXDG4Dr7wC8A9QhIGU62/WAFHPuSQdoukE9Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:22.091884Z","signed_message":"canonical_sha256_bytes"},"source_id":"1703.06664","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7673ff6a146e1f13baa08d1a31a3b8770849985fcaf37516e74a1748549d236e","sha256:4a43e3a14e4ed0f422aa168cca2dd97f0585935bdac1bc09049c71db7366b81b"],"state_sha256":"9927a72aee9a22caa8042dd5ce142fe3fe11fc64220efa97a9f586e23d761b9c"}