{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:SM3H7BE34QA6FWSRVTDQFJ5CBO","short_pith_number":"pith:SM3H7BE3","canonical_record":{"source":{"id":"1510.03891","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2015-10-13T20:56:49Z","cross_cats_sorted":[],"title_canon_sha256":"9867e1037f5f40182b95cc9e1146cd93a1f5030b7ac9b936729eac484fdfa3cd","abstract_canon_sha256":"42244eb706c6b9e830743dd028b08a6e31ba053975ca8858bf35088254fe744e"},"schema_version":"1.0"},"canonical_sha256":"93367f849be401e2da51acc702a7a20b95a846526390224d0b88299d92cd26e0","source":{"kind":"arxiv","id":"1510.03891","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03891","created_at":"2026-05-18T01:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03891v1","created_at":"2026-05-18T01:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03891","created_at":"2026-05-18T01:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"SM3H7BE34QA6","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SM3H7BE34QA6FWSR","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SM3H7BE3","created_at":"2026-05-18T12:29:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:SM3H7BE34QA6FWSRVTDQFJ5CBO","target":"record","payload":{"canonical_record":{"source":{"id":"1510.03891","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2015-10-13T20:56:49Z","cross_cats_sorted":[],"title_canon_sha256":"9867e1037f5f40182b95cc9e1146cd93a1f5030b7ac9b936729eac484fdfa3cd","abstract_canon_sha256":"42244eb706c6b9e830743dd028b08a6e31ba053975ca8858bf35088254fe744e"},"schema_version":"1.0"},"canonical_sha256":"93367f849be401e2da51acc702a7a20b95a846526390224d0b88299d92cd26e0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:30:09.877138Z","signature_b64":"fziNX+eqheyeEtYb9oaHFaC9IE4Nlp0R3ZnrO675xhAtr9AgizmSJqoZuhy6rG8JNxp0542qI/rw+UqOh437AA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"93367f849be401e2da51acc702a7a20b95a846526390224d0b88299d92cd26e0","last_reissued_at":"2026-05-18T01:30:09.876727Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:30:09.876727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1510.03891","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"u1ZNqryhYc6hRQ2jbrvAbft5Gtn1k/9tQnucalAMCqH6iG7vyVh2/7Pam2mn/YyZlHo4zX1wYzKclP8P+vwOAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:02:13.534587Z"},"content_sha256":"fe599ee04f2c89c46edfc658d3244145b39e59f70c9f4dfe4e4783274ea64190","schema_version":"1.0","event_id":"sha256:fe599ee04f2c89c46edfc658d3244145b39e59f70c9f4dfe4e4783274ea64190"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:SM3H7BE34QA6FWSRVTDQFJ5CBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonlinear memory capacity of parallel time-delay reservoir computers in the processing of multidimensional signals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.NE","authors_text":"Juan-Pablo Ortega, Julie Henriques, Laurent Larger, Lyudmila Grigoryeva","submitted_at":"2015-10-13T20:56:49Z","abstract_excerpt":"This paper addresses the reservoir design problem in the context of delay-based reservoir computers for multidimensional input signals, parallel architectures, and real-time multitasking. First, an approximating reservoir model is presented in those frameworks that provides an explicit functional link between the reservoir parameters and architecture and its performance in the execution of a specific task. Second, the inference properties of the ridge regression estimator in the multivariate context is used to assess the impact of finite sample training on the decrease of the reservoir capacit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03891","kind":"arxiv","version":1},"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":"2026-05-18T01:30:09Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g1sypomAEK2oZPVmjJRJcqMKjszlSrl1GYwIqSVatzPRYNcMgzCpzWZO1iLa0SrXvbDV3N/qjffdgf92RKTGBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T07:02:13.535254Z"},"content_sha256":"c046c16ec4e4dc388f9fbdbc9e4422222e3639aad3648d325d24983d74803819","schema_version":"1.0","event_id":"sha256:c046c16ec4e4dc388f9fbdbc9e4422222e3639aad3648d325d24983d74803819"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO/bundle.json","state_url":"https://pith.science/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO/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":"2026-05-31T07:02:13Z","links":{"resolver":"https://pith.science/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO","bundle":"https://pith.science/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO/bundle.json","state":"https://pith.science/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SM3H7BE34QA6FWSRVTDQFJ5CBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:SM3H7BE34QA6FWSRVTDQFJ5CBO","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":"42244eb706c6b9e830743dd028b08a6e31ba053975ca8858bf35088254fe744e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2015-10-13T20:56:49Z","title_canon_sha256":"9867e1037f5f40182b95cc9e1146cd93a1f5030b7ac9b936729eac484fdfa3cd"},"schema_version":"1.0","source":{"id":"1510.03891","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.03891","created_at":"2026-05-18T01:30:09Z"},{"alias_kind":"arxiv_version","alias_value":"1510.03891v1","created_at":"2026-05-18T01:30:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.03891","created_at":"2026-05-18T01:30:09Z"},{"alias_kind":"pith_short_12","alias_value":"SM3H7BE34QA6","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_16","alias_value":"SM3H7BE34QA6FWSR","created_at":"2026-05-18T12:29:42Z"},{"alias_kind":"pith_short_8","alias_value":"SM3H7BE3","created_at":"2026-05-18T12:29:42Z"}],"graph_snapshots":[{"event_id":"sha256:c046c16ec4e4dc388f9fbdbc9e4422222e3639aad3648d325d24983d74803819","target":"graph","created_at":"2026-05-18T01:30:09Z","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 addresses the reservoir design problem in the context of delay-based reservoir computers for multidimensional input signals, parallel architectures, and real-time multitasking. First, an approximating reservoir model is presented in those frameworks that provides an explicit functional link between the reservoir parameters and architecture and its performance in the execution of a specific task. Second, the inference properties of the ridge regression estimator in the multivariate context is used to assess the impact of finite sample training on the decrease of the reservoir capacit","authors_text":"Juan-Pablo Ortega, Julie Henriques, Laurent Larger, Lyudmila Grigoryeva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2015-10-13T20:56:49Z","title":"Nonlinear memory capacity of parallel time-delay reservoir computers in the processing of multidimensional signals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.03891","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:fe599ee04f2c89c46edfc658d3244145b39e59f70c9f4dfe4e4783274ea64190","target":"record","created_at":"2026-05-18T01:30:09Z","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":"42244eb706c6b9e830743dd028b08a6e31ba053975ca8858bf35088254fe744e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.NE","submitted_at":"2015-10-13T20:56:49Z","title_canon_sha256":"9867e1037f5f40182b95cc9e1146cd93a1f5030b7ac9b936729eac484fdfa3cd"},"schema_version":"1.0","source":{"id":"1510.03891","kind":"arxiv","version":1}},"canonical_sha256":"93367f849be401e2da51acc702a7a20b95a846526390224d0b88299d92cd26e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"93367f849be401e2da51acc702a7a20b95a846526390224d0b88299d92cd26e0","first_computed_at":"2026-05-18T01:30:09.876727Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:30:09.876727Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fziNX+eqheyeEtYb9oaHFaC9IE4Nlp0R3ZnrO675xhAtr9AgizmSJqoZuhy6rG8JNxp0542qI/rw+UqOh437AA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:30:09.877138Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.03891","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe599ee04f2c89c46edfc658d3244145b39e59f70c9f4dfe4e4783274ea64190","sha256:c046c16ec4e4dc388f9fbdbc9e4422222e3639aad3648d325d24983d74803819"],"state_sha256":"b61f4f88473f7e31f3339628afd29c405a16afac28675c471094185420b7e367"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uecp7SRTntr/uk6Ac8QsgCoMrkRKnn1OvP9SEpYcZHax/bGLUIj6vCObsMDRCVPqlDsaKs0UV9IGb1K0Mw3GCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T07:02:13.539997Z","bundle_sha256":"c0dd8c9ab527db7e039a8d8c56bf8947156967ad77db7bc7acdc3c2927d25b87"}}