{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:ZRDMDSAF2C73NCODRQYJ27754Y","short_pith_number":"pith:ZRDMDSAF","canonical_record":{"source":{"id":"2505.09327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-05-14T12:24:22Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"14f10a8a21240949b29b1d4a7613335fd70373046a28b200dba7a1165842b7c9","abstract_canon_sha256":"2d7eef8b542d5604993d06bb9456e2b99d8cb90ef8d7aa0506226fac368603a3"},"schema_version":"1.0"},"canonical_sha256":"cc46c1c805d0bfb689c38c309d7ffde63debfb50a95bd19ca591a5c8842baef0","source":{"kind":"arxiv","id":"2505.09327","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09327","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09327v1","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09327","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZRDMDSAF2C73","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"pith_short_16","alias_value":"ZRDMDSAF2C73NCOD","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"pith_short_8","alias_value":"ZRDMDSAF","created_at":"2026-07-05T11:03:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:ZRDMDSAF2C73NCODRQYJ27754Y","target":"record","payload":{"canonical_record":{"source":{"id":"2505.09327","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-05-14T12:24:22Z","cross_cats_sorted":["cs.SY","eess.SY"],"title_canon_sha256":"14f10a8a21240949b29b1d4a7613335fd70373046a28b200dba7a1165842b7c9","abstract_canon_sha256":"2d7eef8b542d5604993d06bb9456e2b99d8cb90ef8d7aa0506226fac368603a3"},"schema_version":"1.0"},"canonical_sha256":"cc46c1c805d0bfb689c38c309d7ffde63debfb50a95bd19ca591a5c8842baef0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:03:06.489338Z","signature_b64":"mjWyX9/HQF8nmBjaEOKCMNiCAOyd2cpQNdqKjQFdmh8dH10hHNPykjjX50806HeuxASp48YorDaeosoddMRECA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cc46c1c805d0bfb689c38c309d7ffde63debfb50a95bd19ca591a5c8842baef0","last_reissued_at":"2026-07-05T11:03:06.488877Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:03:06.488877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.09327","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":"2026-07-05T11:03:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4KwkXLFVmfWykY8rv3Sa5tTOzZ2llRgfPqZ8Liqtr4kX5y+U4C7t6mwYt3uwOq/5p3EKN0MHbDFuC6DW3v7KAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T22:37:10.080409Z"},"content_sha256":"54fb8d71867abb47276bf85df7dcb242ba72fd9141f38ae1b3d6ce37e9d48545","schema_version":"1.0","event_id":"sha256:54fb8d71867abb47276bf85df7dcb242ba72fd9141f38ae1b3d6ce37e9d48545"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:ZRDMDSAF2C73NCODRQYJ27754Y","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Adaptive control for multi-scale stochastic dynamical systems with stochastic next generation reservoir computing","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SY","eess.SY"],"primary_cat":"math.DS","authors_text":"Jiani Cheng, Jinqiao Duan, Ting Gao","submitted_at":"2025-05-14T12:24:22Z","abstract_excerpt":"The rapid advancement of neuroscience and machine learning has established data-driven stochastic dynamical system modeling as a powerful tool for understanding and controlling high-dimensional, spatio-temporal processes. We introduce the stochastic next-generation reservoir computing (NG-RC) controller, a framework that integrates the computational efficiency of NG-RC with stochastic analysis to enable robust event-triggered control in multiscale stochastic systems. The asymptotic stability of the controller is rigorously proven via an extended stochastic LaSalle theorem, providing theoretica"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09327","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.09327/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":"2026-07-05T11:03:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"58c7En2GAUnIeJwloYGzPYuBTA88DU81K/ipPUSvVgeSb6mPnLRKcNhAzu9MgmK233/SV3UsMU1g4MoMETTZBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-21T22:37:10.080933Z"},"content_sha256":"1c94eb9d5036b0d51f94a01ee77d6e0acad7f2e3ff19acc29397498697a30b28","schema_version":"1.0","event_id":"sha256:1c94eb9d5036b0d51f94a01ee77d6e0acad7f2e3ff19acc29397498697a30b28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZRDMDSAF2C73NCODRQYJ27754Y/bundle.json","state_url":"https://pith.science/pith/ZRDMDSAF2C73NCODRQYJ27754Y/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZRDMDSAF2C73NCODRQYJ27754Y/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":"2026-08-21T22:37:10Z","links":{"resolver":"https://pith.science/pith/ZRDMDSAF2C73NCODRQYJ27754Y","bundle":"https://pith.science/pith/ZRDMDSAF2C73NCODRQYJ27754Y/bundle.json","state":"https://pith.science/pith/ZRDMDSAF2C73NCODRQYJ27754Y/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZRDMDSAF2C73NCODRQYJ27754Y/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:ZRDMDSAF2C73NCODRQYJ27754Y","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":"2d7eef8b542d5604993d06bb9456e2b99d8cb90ef8d7aa0506226fac368603a3","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-05-14T12:24:22Z","title_canon_sha256":"14f10a8a21240949b29b1d4a7613335fd70373046a28b200dba7a1165842b7c9"},"schema_version":"1.0","source":{"id":"2505.09327","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.09327","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"arxiv_version","alias_value":"2505.09327v1","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.09327","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"pith_short_12","alias_value":"ZRDMDSAF2C73","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"pith_short_16","alias_value":"ZRDMDSAF2C73NCOD","created_at":"2026-07-05T11:03:06Z"},{"alias_kind":"pith_short_8","alias_value":"ZRDMDSAF","created_at":"2026-07-05T11:03:06Z"}],"graph_snapshots":[{"event_id":"sha256:1c94eb9d5036b0d51f94a01ee77d6e0acad7f2e3ff19acc29397498697a30b28","target":"graph","created_at":"2026-07-05T11:03:06Z","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/2505.09327/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The rapid advancement of neuroscience and machine learning has established data-driven stochastic dynamical system modeling as a powerful tool for understanding and controlling high-dimensional, spatio-temporal processes. We introduce the stochastic next-generation reservoir computing (NG-RC) controller, a framework that integrates the computational efficiency of NG-RC with stochastic analysis to enable robust event-triggered control in multiscale stochastic systems. The asymptotic stability of the controller is rigorously proven via an extended stochastic LaSalle theorem, providing theoretica","authors_text":"Jiani Cheng, Jinqiao Duan, Ting Gao","cross_cats":["cs.SY","eess.SY"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-05-14T12:24:22Z","title":"Adaptive control for multi-scale stochastic dynamical systems with stochastic next generation reservoir computing"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.09327","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":"sha256:54fb8d71867abb47276bf85df7dcb242ba72fd9141f38ae1b3d6ce37e9d48545","target":"record","created_at":"2026-07-05T11:03:06Z","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":"2d7eef8b542d5604993d06bb9456e2b99d8cb90ef8d7aa0506226fac368603a3","cross_cats_sorted":["cs.SY","eess.SY"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DS","submitted_at":"2025-05-14T12:24:22Z","title_canon_sha256":"14f10a8a21240949b29b1d4a7613335fd70373046a28b200dba7a1165842b7c9"},"schema_version":"1.0","source":{"id":"2505.09327","kind":"arxiv","version":1}},"canonical_sha256":"cc46c1c805d0bfb689c38c309d7ffde63debfb50a95bd19ca591a5c8842baef0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc46c1c805d0bfb689c38c309d7ffde63debfb50a95bd19ca591a5c8842baef0","first_computed_at":"2026-07-05T11:03:06.488877Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:03:06.488877Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mjWyX9/HQF8nmBjaEOKCMNiCAOyd2cpQNdqKjQFdmh8dH10hHNPykjjX50806HeuxASp48YorDaeosoddMRECA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:03:06.489338Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.09327","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54fb8d71867abb47276bf85df7dcb242ba72fd9141f38ae1b3d6ce37e9d48545","sha256:1c94eb9d5036b0d51f94a01ee77d6e0acad7f2e3ff19acc29397498697a30b28"],"state_sha256":"f267a74994250984a083634737927a61dcc3b17927fcd9636c0ddf6a9aba4eff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zRfr3FFjvLqy7Fav5mHQ6Sgt/Xzb+GXCaKIqQqN8fA/vVQTLZTgtG/Vmxalr3C003Y26trc66XstRjq+s4m+Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-21T22:37:10.085284Z","bundle_sha256":"ef7eff9815b7d2ceb1196cb93d0c78b191a8dc6356cf9ba75c99c753b9bc4e57"}}