{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:GWZXJWS54PQ5M6NPRT55LZ56CQ","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":"cc05ac86e7bdc1fd081cd189c4ac81187a7b9642e43bbd4618e9930586593cae","cross_cats_sorted":["cs.AI","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-01-04T08:22:03Z","title_canon_sha256":"14e0f1ddbd1af47f28c97bd92e7d4ca0711ccf856f632b36db781cdf29d9f734"},"schema_version":"1.0","source":{"id":"2201.01032","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2201.01032","created_at":"2026-07-05T03:45:15Z"},{"alias_kind":"arxiv_version","alias_value":"2201.01032v1","created_at":"2026-07-05T03:45:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2201.01032","created_at":"2026-07-05T03:45:15Z"},{"alias_kind":"pith_short_12","alias_value":"GWZXJWS54PQ5","created_at":"2026-07-05T03:45:15Z"},{"alias_kind":"pith_short_16","alias_value":"GWZXJWS54PQ5M6NP","created_at":"2026-07-05T03:45:15Z"},{"alias_kind":"pith_short_8","alias_value":"GWZXJWS5","created_at":"2026-07-05T03:45:15Z"}],"graph_snapshots":[{"event_id":"sha256:701878a97b2fb905c287c2a4847169788c89d923ed3f4e8b9fc7815a2dfb5d5b","target":"graph","created_at":"2026-07-05T03:45:15Z","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/2201.01032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Supervised operator learning is an emerging machine learning paradigm with applications to modeling the evolution of spatio-temporal dynamical systems and approximating general black-box relationships between functional data. We propose a novel operator learning method, LOCA (Learning Operators with Coupled Attention), motivated from the recent success of the attention mechanism. In our architecture, the input functions are mapped to a finite set of features which are then averaged with attention weights that depend on the output query locations. By coupling these attention weights together wi","authors_text":"George J. Pappas, Georgios Kissas, Jacob Seidman, Leonardo Ferreira Guilhoto, Paris Perdikaris, Victor M. Preciado","cross_cats":["cs.AI","physics.comp-ph"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-01-04T08:22:03Z","title":"Learning Operators with Coupled Attention"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2201.01032","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:a1e925bdbe8606837c2ff03207a58e1e2cddeeefbb22b1412c736172b8a56732","target":"record","created_at":"2026-07-05T03:45:15Z","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":"cc05ac86e7bdc1fd081cd189c4ac81187a7b9642e43bbd4618e9930586593cae","cross_cats_sorted":["cs.AI","physics.comp-ph"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2022-01-04T08:22:03Z","title_canon_sha256":"14e0f1ddbd1af47f28c97bd92e7d4ca0711ccf856f632b36db781cdf29d9f734"},"schema_version":"1.0","source":{"id":"2201.01032","kind":"arxiv","version":1}},"canonical_sha256":"35b374da5de3e1d679af8cfbd5e7be140f4b6b8390592a7c6b6b7ab061589838","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"35b374da5de3e1d679af8cfbd5e7be140f4b6b8390592a7c6b6b7ab061589838","first_computed_at":"2026-07-05T03:45:15.595401Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:45:15.595401Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rrqELCbvwPgsMZORSLgdD4ppV6qb5JRFetdEYLDoUbu57iAYmjCUwX3nN0P7KX1Fy+Ezo2iwUJWQsSq6oU8/Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T03:45:15.595772Z","signed_message":"canonical_sha256_bytes"},"source_id":"2201.01032","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a1e925bdbe8606837c2ff03207a58e1e2cddeeefbb22b1412c736172b8a56732","sha256:701878a97b2fb905c287c2a4847169788c89d923ed3f4e8b9fc7815a2dfb5d5b"],"state_sha256":"beecf703c97e28dfdcf721c621a8c25d9cffd0898099d9a68b06e2faf3c09494"}