{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:XT2O55YR5RVGVAIODCAT5TZRCK","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":"b08d0194e3b58a201305fdcb305dd73bea6c895e831f74dc353907995bf91a4e","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-10-05T20:40:02Z","title_canon_sha256":"18ac220be194d4751990c286ed8bac08aaee276ddc6908286c468bb906ec89f0"},"schema_version":"1.0","source":{"id":"1810.02880","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1810.02880","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"arxiv_version","alias_value":"1810.02880v1","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1810.02880","created_at":"2026-05-18T00:04:00Z"},{"alias_kind":"pith_short_12","alias_value":"XT2O55YR5RVG","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"XT2O55YR5RVGVAIO","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"XT2O55YR","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:d49a1441f66949243bd6669a0b0948016b7c4d4d94fd70bf57609b2f04f96dd2","target":"graph","created_at":"2026-05-18T00:04:00Z","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":"In this paper, we introduce a novel framework for combining scientific knowledge within physics-based models and recurrent neural networks to advance scientific discovery in many dynamical systems. We will first describe the use of outputs from physics-based models in learning a hybrid-physics-data model. Then, we further incorporate physical knowledge in real-world dynamical systems as additional constraints for training recurrent neural networks. We will apply this approach on modeling lake temperature and quality where we take into account the physical constraints along both the depth dimen","authors_text":"Anuj Karpatne, Hilary A Dugan, Jared Willard, Jordan Read, Michael Steinbach, Paul C Hanson, Vipin Kumar, Xiaowei Jia","cross_cats":["stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-10-05T20:40:02Z","title":"Physics Guided Recurrent Neural Networks For Modeling Dynamical Systems: Application to Monitoring Water Temperature And Quality In Lakes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.02880","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:cf5e2cbca6a81372a1d14f513da1e076494e555a1b093d971389f093a8975571","target":"record","created_at":"2026-05-18T00:04:00Z","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":"b08d0194e3b58a201305fdcb305dd73bea6c895e831f74dc353907995bf91a4e","cross_cats_sorted":["stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2018-10-05T20:40:02Z","title_canon_sha256":"18ac220be194d4751990c286ed8bac08aaee276ddc6908286c468bb906ec89f0"},"schema_version":"1.0","source":{"id":"1810.02880","kind":"arxiv","version":1}},"canonical_sha256":"bcf4eef711ec6a6a810e18813ecf3112b6ebd80348173db6f643f03fdb814a4e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bcf4eef711ec6a6a810e18813ecf3112b6ebd80348173db6f643f03fdb814a4e","first_computed_at":"2026-05-18T00:04:00.029667Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:04:00.029667Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"kfhf3Tr7DJvFZYRviXiDmYdoonrfYxqncmyoYmkzSiJNTfPUpF5hRwCyUCWf8UkT8N1JayBLwqx37lKt9j09AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:04:00.030420Z","signed_message":"canonical_sha256_bytes"},"source_id":"1810.02880","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cf5e2cbca6a81372a1d14f513da1e076494e555a1b093d971389f093a8975571","sha256:d49a1441f66949243bd6669a0b0948016b7c4d4d94fd70bf57609b2f04f96dd2"],"state_sha256":"b9a771750737afda489f2b8390b985ed3ebcd141a610859e5fd0fd5631576b43"}