{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:KHQHH6KTLIYSQRKEXC6F2POPD6","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":"3c42e74be55e560cf0a2f9040cc9aee23b3052606989c49257dd4103a1315b3e","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-11-19T11:34:27Z","title_canon_sha256":"d48c3ee707bdf70f095e4eee104dd72c236f9d7a88152fbe13a0c27261690753"},"schema_version":"1.0","source":{"id":"1811.07625","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1811.07625","created_at":"2026-05-17T23:50:22Z"},{"alias_kind":"arxiv_version","alias_value":"1811.07625v2","created_at":"2026-05-17T23:50:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1811.07625","created_at":"2026-05-17T23:50:22Z"},{"alias_kind":"pith_short_12","alias_value":"KHQHH6KTLIYS","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_16","alias_value":"KHQHH6KTLIYSQRKE","created_at":"2026-05-18T12:32:33Z"},{"alias_kind":"pith_short_8","alias_value":"KHQHH6KT","created_at":"2026-05-18T12:32:33Z"}],"graph_snapshots":[{"event_id":"sha256:b1847e25d47fa39df32fba111fdb7d35efc344ce76207308d3d8a000104d4138","target":"graph","created_at":"2026-05-17T23:50:22Z","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":"We propose a Bayesian nonparametric model based on Markov Chain Monte Carlo (MCMC) methods for the joint reconstruction and prediction of discrete time stochastic dynamical systems, based on $m$-multiple time-series data, perturbed by additive dynamical noise. We introduce the Pairwise Dependent Geometric Stick-Breaking Reconstruction (PD-GSBR) model, which relies on the construction of a $m$-variate nonparametric prior over the space of densities supported over $\\mathbb{R}^m$. We are focusing in the case where at least one of the time-series has a sufficiently large sample size representation","authors_text":"Christos Merkatas, Spyridon J. Hatjispyros","cross_cats":["stat.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-11-19T11:34:27Z","title":"Joint reconstruction and prediction of random dynamical systems under borrowing of strength"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1811.07625","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":"sha256:6a51bd03f926cc82b06bf7323e6678393379e0b1fa521846322d4e818a96dbd2","target":"record","created_at":"2026-05-17T23:50:22Z","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":"3c42e74be55e560cf0a2f9040cc9aee23b3052606989c49257dd4103a1315b3e","cross_cats_sorted":["stat.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2018-11-19T11:34:27Z","title_canon_sha256":"d48c3ee707bdf70f095e4eee104dd72c236f9d7a88152fbe13a0c27261690753"},"schema_version":"1.0","source":{"id":"1811.07625","kind":"arxiv","version":2}},"canonical_sha256":"51e073f9535a31284544b8bc5d3dcf1f89345f6205c663dde399f9cc5b824c95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51e073f9535a31284544b8bc5d3dcf1f89345f6205c663dde399f9cc5b824c95","first_computed_at":"2026-05-17T23:50:22.921024Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:22.921024Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h7C3hOmLTok/XwWdjCJWlpVXzTlYCa9kTc+CGsT0fE9h38ZhQwCx+HK1VR1k2U14raOKuVTeu1mqJfvv82S+Bg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:22.921657Z","signed_message":"canonical_sha256_bytes"},"source_id":"1811.07625","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6a51bd03f926cc82b06bf7323e6678393379e0b1fa521846322d4e818a96dbd2","sha256:b1847e25d47fa39df32fba111fdb7d35efc344ce76207308d3d8a000104d4138"],"state_sha256":"996541f523eb1a255b4131e565e2cfdd8fb40f1f1ef03f1433ef9757bf030acf"}