{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2023:2N3KLCDLGEN3TMTSBNXNMJLHSY","short_pith_number":"pith:2N3KLCDL","canonical_record":{"source":{"id":"2308.02902","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-08-05T15:49:25Z","cross_cats_sorted":["cs.AI","math.DS"],"title_canon_sha256":"a879e6105490e2b93b8dcd235fcfb9f6f5ad3ebf48f3702971849d4ecb85a55b","abstract_canon_sha256":"bbd8c5687333d5a167e0de3a047404fd4868fb03897265532c09a8e270932195"},"schema_version":"1.0"},"canonical_sha256":"d376a5886b311bb9b2720b6ed62567962582ee0a87293b1c404349655eb28f8a","source":{"kind":"arxiv","id":"2308.02902","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.02902","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"arxiv_version","alias_value":"2308.02902v2","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.02902","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"pith_short_12","alias_value":"2N3KLCDLGEN3","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"pith_short_16","alias_value":"2N3KLCDLGEN3TMTS","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"pith_short_8","alias_value":"2N3KLCDL","created_at":"2026-07-05T06:47:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2023:2N3KLCDLGEN3TMTSBNXNMJLHSY","target":"record","payload":{"canonical_record":{"source":{"id":"2308.02902","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-08-05T15:49:25Z","cross_cats_sorted":["cs.AI","math.DS"],"title_canon_sha256":"a879e6105490e2b93b8dcd235fcfb9f6f5ad3ebf48f3702971849d4ecb85a55b","abstract_canon_sha256":"bbd8c5687333d5a167e0de3a047404fd4868fb03897265532c09a8e270932195"},"schema_version":"1.0"},"canonical_sha256":"d376a5886b311bb9b2720b6ed62567962582ee0a87293b1c404349655eb28f8a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:47:25.607303Z","signature_b64":"uBp5uzsI2MABEhDnIlx7B84yRCxnOhOULkAIcc5wbvmqvcdL4dB43FoV/JFLXV6+0yQ3yo1YAFPP18oa2LcuAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d376a5886b311bb9b2720b6ed62567962582ee0a87293b1c404349655eb28f8a","last_reissued_at":"2026-07-05T06:47:25.606796Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:47:25.606796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2308.02902","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":"2026-07-05T06:47:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLldfsyVqztjk1F1fsi7IsP0z06pg6J9CuHmmuayMdDRYYUVOAqHY7QSnf/OjyhZwWjhI5qWdoRbcRKhmA4ZDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T06:34:08.943285Z"},"content_sha256":"177332f45304346264939bfc469ac9e5218844fc11f26f8efb5e33bc7dc3ee79","schema_version":"1.0","event_id":"sha256:177332f45304346264939bfc469ac9e5218844fc11f26f8efb5e33bc7dc3ee79"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2023:2N3KLCDLGEN3TMTSBNXNMJLHSY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Edge of stability echo state networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","math.DS"],"primary_cat":"cs.LG","authors_text":"Andrea Ceni, Claudio Gallicchio","submitted_at":"2023-08-05T15:49:25Z","abstract_excerpt":"Echo State Networks (ESNs) are time-series processing models working under the Echo State Property (ESP) principle. The ESP is a notion of stability that imposes an asymptotic fading of the memory of the input. On the other hand, the resulting inherent architectural bias of ESNs may lead to an excessive loss of information, which in turn harms the performance in certain tasks with long short-term memory requirements. With the goal of bringing together the fading memory property and the ability to retain as much memory as possible, in this paper we introduce a new ESN architecture, called the E"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.02902","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2308.02902/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:47:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"htHOtGFy0/e5ZSTzdDmuTdHfW/WhE0tgVpAKcZXDO9wKLGm3FWBooBFFJmxwuPGgjxEONv6MmnFNsPiqK9FDCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-13T06:34:08.943961Z"},"content_sha256":"86c46be42e2b6f22827f855a158323529c0c352e0ab79adfcdd2a37dd6e1d077","schema_version":"1.0","event_id":"sha256:86c46be42e2b6f22827f855a158323529c0c352e0ab79adfcdd2a37dd6e1d077"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY/bundle.json","state_url":"https://pith.science/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY/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":"2026-07-13T06:34:08Z","links":{"resolver":"https://pith.science/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY","bundle":"https://pith.science/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY/bundle.json","state":"https://pith.science/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2N3KLCDLGEN3TMTSBNXNMJLHSY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:2N3KLCDLGEN3TMTSBNXNMJLHSY","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":"bbd8c5687333d5a167e0de3a047404fd4868fb03897265532c09a8e270932195","cross_cats_sorted":["cs.AI","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-08-05T15:49:25Z","title_canon_sha256":"a879e6105490e2b93b8dcd235fcfb9f6f5ad3ebf48f3702971849d4ecb85a55b"},"schema_version":"1.0","source":{"id":"2308.02902","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.02902","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"arxiv_version","alias_value":"2308.02902v2","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.02902","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"pith_short_12","alias_value":"2N3KLCDLGEN3","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"pith_short_16","alias_value":"2N3KLCDLGEN3TMTS","created_at":"2026-07-05T06:47:25Z"},{"alias_kind":"pith_short_8","alias_value":"2N3KLCDL","created_at":"2026-07-05T06:47:25Z"}],"graph_snapshots":[{"event_id":"sha256:86c46be42e2b6f22827f855a158323529c0c352e0ab79adfcdd2a37dd6e1d077","target":"graph","created_at":"2026-07-05T06:47:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2308.02902/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Echo State Networks (ESNs) are time-series processing models working under the Echo State Property (ESP) principle. The ESP is a notion of stability that imposes an asymptotic fading of the memory of the input. On the other hand, the resulting inherent architectural bias of ESNs may lead to an excessive loss of information, which in turn harms the performance in certain tasks with long short-term memory requirements. With the goal of bringing together the fading memory property and the ability to retain as much memory as possible, in this paper we introduce a new ESN architecture, called the E","authors_text":"Andrea Ceni, Claudio Gallicchio","cross_cats":["cs.AI","math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-08-05T15:49:25Z","title":"Edge of stability echo state networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.02902","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":"sha256:177332f45304346264939bfc469ac9e5218844fc11f26f8efb5e33bc7dc3ee79","target":"record","created_at":"2026-07-05T06:47:25Z","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":"bbd8c5687333d5a167e0de3a047404fd4868fb03897265532c09a8e270932195","cross_cats_sorted":["cs.AI","math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2023-08-05T15:49:25Z","title_canon_sha256":"a879e6105490e2b93b8dcd235fcfb9f6f5ad3ebf48f3702971849d4ecb85a55b"},"schema_version":"1.0","source":{"id":"2308.02902","kind":"arxiv","version":2}},"canonical_sha256":"d376a5886b311bb9b2720b6ed62567962582ee0a87293b1c404349655eb28f8a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d376a5886b311bb9b2720b6ed62567962582ee0a87293b1c404349655eb28f8a","first_computed_at":"2026-07-05T06:47:25.606796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:47:25.606796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uBp5uzsI2MABEhDnIlx7B84yRCxnOhOULkAIcc5wbvmqvcdL4dB43FoV/JFLXV6+0yQ3yo1YAFPP18oa2LcuAg==","signature_status":"signed_v1","signed_at":"2026-07-05T06:47:25.607303Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.02902","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:177332f45304346264939bfc469ac9e5218844fc11f26f8efb5e33bc7dc3ee79","sha256:86c46be42e2b6f22827f855a158323529c0c352e0ab79adfcdd2a37dd6e1d077"],"state_sha256":"885529dd1b518d204172bc0366eed4918ba6db8f56cc776b5695111bf5bee56a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9hV/m9rthLzxppcuLGD0afwq7nIK0SbnDUN7d44R39+deChRgNIDoSIbulWGYRoogbqJdAmHvEZIgSDX7ukECA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-13T06:34:08.946372Z","bundle_sha256":"2a6d95893925eaecd7325e4017685220a25c8c0ee90a9b8686ab8c5544df953b"}}