{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:ETSH256FLY6KTUMKSZDJN2S4ZI","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":"07ddd3fc4637fd14c4b6767eb3a4590430f5bc54f1a97149b50742937e92ad36","cross_cats_sorted":["cs.CE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-03-05T15:05:13Z","title_canon_sha256":"ebc2f4a255c37f5d2822e2a16b5b901a51e6de2b3976ace15d71a34b7310ef91"},"schema_version":"1.0","source":{"id":"2304.12299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2304.12299","created_at":"2026-07-05T06:03:50Z"},{"alias_kind":"arxiv_version","alias_value":"2304.12299v1","created_at":"2026-07-05T06:03:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2304.12299","created_at":"2026-07-05T06:03:50Z"},{"alias_kind":"pith_short_12","alias_value":"ETSH256FLY6K","created_at":"2026-07-05T06:03:50Z"},{"alias_kind":"pith_short_16","alias_value":"ETSH256FLY6KTUMK","created_at":"2026-07-05T06:03:50Z"},{"alias_kind":"pith_short_8","alias_value":"ETSH256F","created_at":"2026-07-05T06:03:50Z"}],"graph_snapshots":[{"event_id":"sha256:a074daf6e5d73771bbf328ad28c93d213ccb76146e19b1e80f822b71d1e1543f","target":"graph","created_at":"2026-07-05T06:03:50Z","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/2304.12299/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Current groundwater models face a significant challenge in their implementation due to heavy computational burdens. To overcome this, our work proposes a cost-effective emulator that efficiently and accurately forecasts the impact of abstraction in an aquifer. Our approach uses a deep neural operator (DeepONet) to learn operators that map between infinite-dimensional function spaces via deep neural networks. The goal is to infer the distribution of hydraulic head in a confined aquifer in the presence of a pumping well. We successfully tested the DeepONet on four problems, including two forward","authors_text":"He Wang, Jonathan Nuttall, Maria Luisa Taccari, Peter K. Jimack, Somdatta Goswami, Xiaohui Chen","cross_cats":["cs.CE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-03-05T15:05:13Z","title":"Developing a cost-effective emulator for groundwater flow modeling using deep neural operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2304.12299","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:c5ff51aa4819a28f1d71d2e58b6ed59f637d69f3925b39f8f630f2c858b23ae5","target":"record","created_at":"2026-07-05T06:03:50Z","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":"07ddd3fc4637fd14c4b6767eb3a4590430f5bc54f1a97149b50742937e92ad36","cross_cats_sorted":["cs.CE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"physics.flu-dyn","submitted_at":"2023-03-05T15:05:13Z","title_canon_sha256":"ebc2f4a255c37f5d2822e2a16b5b901a51e6de2b3976ace15d71a34b7310ef91"},"schema_version":"1.0","source":{"id":"2304.12299","kind":"arxiv","version":1}},"canonical_sha256":"24e47d77c55e3ca9d18a964696ea5cca3b8079a8ada9d4e1ad9dec8f42f1d45c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"24e47d77c55e3ca9d18a964696ea5cca3b8079a8ada9d4e1ad9dec8f42f1d45c","first_computed_at":"2026-07-05T06:03:50.111704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:03:50.111704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9MfjOz59kA5PrLm7zWdVJYytW9rQMvBq7IrKjbHfPBQRZUQbl5qIDGk6UhFxnvDrQXPuZhjq/xUdz9Jnz9jTAA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:03:50.112096Z","signed_message":"canonical_sha256_bytes"},"source_id":"2304.12299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c5ff51aa4819a28f1d71d2e58b6ed59f637d69f3925b39f8f630f2c858b23ae5","sha256:a074daf6e5d73771bbf328ad28c93d213ccb76146e19b1e80f822b71d1e1543f"],"state_sha256":"5a14ab6b74a3f62ebea53e23b32927866510d7c4a4e643dcba2edc84886cf28a"}