{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:JP5QTKLVOXUUOSSHXT6YUGS26P","short_pith_number":"pith:JP5QTKLV","canonical_record":{"source":{"id":"2408.14821","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-27T07:03:51Z","cross_cats_sorted":["cs.NA","math.NA","stat.ML"],"title_canon_sha256":"d59b4a34b1ceadb181799a87ec20486a764a6b160a917072a3f1626aa8e8d02c","abstract_canon_sha256":"77ae97625840da72d8c48cbb02ffe03258f54938221dc56fe3b57c8cf408dba7"},"schema_version":"1.0"},"canonical_sha256":"4bfb09a97575e9474a47bcfd8a1a5af3f9c3eeef995643f3914c578cae4f6afc","source":{"kind":"arxiv","id":"2408.14821","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.14821","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"2408.14821v1","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14821","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"JP5QTKLVOXUU","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"pith_short_16","alias_value":"JP5QTKLVOXUUOSSH","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"pith_short_8","alias_value":"JP5QTKLV","created_at":"2026-07-05T08:59:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:JP5QTKLVOXUUOSSHXT6YUGS26P","target":"record","payload":{"canonical_record":{"source":{"id":"2408.14821","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-27T07:03:51Z","cross_cats_sorted":["cs.NA","math.NA","stat.ML"],"title_canon_sha256":"d59b4a34b1ceadb181799a87ec20486a764a6b160a917072a3f1626aa8e8d02c","abstract_canon_sha256":"77ae97625840da72d8c48cbb02ffe03258f54938221dc56fe3b57c8cf408dba7"},"schema_version":"1.0"},"canonical_sha256":"4bfb09a97575e9474a47bcfd8a1a5af3f9c3eeef995643f3914c578cae4f6afc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:59:39.423364Z","signature_b64":"1jc9uTQXHPcFDCUIFDC8dX5UvsBl7NtsSSCqngAnLbJoexHYWn/117vvqlFAyEfnh4QDGkAOB20+MW0P7KVOBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4bfb09a97575e9474a47bcfd8a1a5af3f9c3eeef995643f3914c578cae4f6afc","last_reissued_at":"2026-07-05T08:59:39.422907Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:59:39.422907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2408.14821","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":"2026-07-05T08:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k21eWnLCU7s/QkX/nyc8VCs37TDYAKTd86y6kKLXUGYCpueYskHMKdXm9YCCysbTgPfGTXh5sSH3jDvComO0Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:57:06.343768Z"},"content_sha256":"d293a7510ceb6940b17dfd077fbc95686af0eaeb97748fee394353f177a7035e","schema_version":"1.0","event_id":"sha256:d293a7510ceb6940b17dfd077fbc95686af0eaeb97748fee394353f177a7035e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:JP5QTKLVOXUUOSSHXT6YUGS26P","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA","stat.ML"],"primary_cat":"cs.LG","authors_text":"Dongbin Xiu, Yuan Chen","submitted_at":"2024-08-27T07:03:51Z","abstract_excerpt":"We present a numerical method for learning the dynamics of slow components of unknown multiscale stochastic dynamical systems. While the governing equations of the systems are unknown, bursts of observation data of the slow variables are available. By utilizing the observation data, our proposed method is capable of constructing a generative stochastic model that can accurately capture the effective dynamics of the slow variables in distribution. We present a comprehensive set of numerical examples to demonstrate the performance of the proposed method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14821","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/2408.14821/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":"2026-07-05T08:59:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AE1ewcP7Sjfffujz861Ou4viXO/b60CVxIAv03Zr7CmAmPcFXLaZGDDUoZO4a+6aCi2a1jB6ykk9H188u1ygCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T09:57:06.344268Z"},"content_sha256":"971934f9d13f995316bf80e31c18bb9eeee123d24419a58cb41e2ff7e8c6b0dd","schema_version":"1.0","event_id":"sha256:971934f9d13f995316bf80e31c18bb9eeee123d24419a58cb41e2ff7e8c6b0dd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JP5QTKLVOXUUOSSHXT6YUGS26P/bundle.json","state_url":"https://pith.science/pith/JP5QTKLVOXUUOSSHXT6YUGS26P/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JP5QTKLVOXUUOSSHXT6YUGS26P/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":"2026-08-08T09:57:06Z","links":{"resolver":"https://pith.science/pith/JP5QTKLVOXUUOSSHXT6YUGS26P","bundle":"https://pith.science/pith/JP5QTKLVOXUUOSSHXT6YUGS26P/bundle.json","state":"https://pith.science/pith/JP5QTKLVOXUUOSSHXT6YUGS26P/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JP5QTKLVOXUUOSSHXT6YUGS26P/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:JP5QTKLVOXUUOSSHXT6YUGS26P","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":"77ae97625840da72d8c48cbb02ffe03258f54938221dc56fe3b57c8cf408dba7","cross_cats_sorted":["cs.NA","math.NA","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-27T07:03:51Z","title_canon_sha256":"d59b4a34b1ceadb181799a87ec20486a764a6b160a917072a3f1626aa8e8d02c"},"schema_version":"1.0","source":{"id":"2408.14821","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.14821","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"arxiv_version","alias_value":"2408.14821v1","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.14821","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"pith_short_12","alias_value":"JP5QTKLVOXUU","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"pith_short_16","alias_value":"JP5QTKLVOXUUOSSH","created_at":"2026-07-05T08:59:39Z"},{"alias_kind":"pith_short_8","alias_value":"JP5QTKLV","created_at":"2026-07-05T08:59:39Z"}],"graph_snapshots":[{"event_id":"sha256:971934f9d13f995316bf80e31c18bb9eeee123d24419a58cb41e2ff7e8c6b0dd","target":"graph","created_at":"2026-07-05T08:59:39Z","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/2408.14821/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a numerical method for learning the dynamics of slow components of unknown multiscale stochastic dynamical systems. While the governing equations of the systems are unknown, bursts of observation data of the slow variables are available. By utilizing the observation data, our proposed method is capable of constructing a generative stochastic model that can accurately capture the effective dynamics of the slow variables in distribution. We present a comprehensive set of numerical examples to demonstrate the performance of the proposed method.","authors_text":"Dongbin Xiu, Yuan Chen","cross_cats":["cs.NA","math.NA","stat.ML"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-27T07:03:51Z","title":"Data-driven Effective Modeling of Multiscale Stochastic Dynamical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.14821","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:d293a7510ceb6940b17dfd077fbc95686af0eaeb97748fee394353f177a7035e","target":"record","created_at":"2026-07-05T08:59:39Z","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":"77ae97625840da72d8c48cbb02ffe03258f54938221dc56fe3b57c8cf408dba7","cross_cats_sorted":["cs.NA","math.NA","stat.ML"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-08-27T07:03:51Z","title_canon_sha256":"d59b4a34b1ceadb181799a87ec20486a764a6b160a917072a3f1626aa8e8d02c"},"schema_version":"1.0","source":{"id":"2408.14821","kind":"arxiv","version":1}},"canonical_sha256":"4bfb09a97575e9474a47bcfd8a1a5af3f9c3eeef995643f3914c578cae4f6afc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4bfb09a97575e9474a47bcfd8a1a5af3f9c3eeef995643f3914c578cae4f6afc","first_computed_at":"2026-07-05T08:59:39.422907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:59:39.422907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1jc9uTQXHPcFDCUIFDC8dX5UvsBl7NtsSSCqngAnLbJoexHYWn/117vvqlFAyEfnh4QDGkAOB20+MW0P7KVOBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:59:39.423364Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.14821","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d293a7510ceb6940b17dfd077fbc95686af0eaeb97748fee394353f177a7035e","sha256:971934f9d13f995316bf80e31c18bb9eeee123d24419a58cb41e2ff7e8c6b0dd"],"state_sha256":"5c72575b12f55ce261e7bc51615e21b59d24dfeec97df577f83a528093d3d652"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W5Yu2lDcOwhz76iQ/e5RCJt0+bRwyUUjUoLoPll+1kbPEoRG0Ycyc8BvW+Z/GPZh3ikWBT3d5wLeC/0UAPTrDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T09:57:06.347604Z","bundle_sha256":"4113a3297d0f4baf5eb71cec5d3000423cea093123499a60329d2a26102e14c4"}}