{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:KZ6GLOK727JQXIGYRRRCH5STTZ","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":"68def3c320031849b8d891297d6522bf59531c89ef5a8051007036c9d908961e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-02-18T22:16:43Z","title_canon_sha256":"cc76c124ca06a58a3068fb1514ba817dcd851f9fe19adc71ffe93c67e7de728a"},"schema_version":"1.0","source":{"id":"2402.11722","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2402.11722","created_at":"2026-07-05T10:58:44Z"},{"alias_kind":"arxiv_version","alias_value":"2402.11722v2","created_at":"2026-07-05T10:58:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2402.11722","created_at":"2026-07-05T10:58:44Z"},{"alias_kind":"pith_short_12","alias_value":"KZ6GLOK727JQ","created_at":"2026-07-05T10:58:44Z"},{"alias_kind":"pith_short_16","alias_value":"KZ6GLOK727JQXIGY","created_at":"2026-07-05T10:58:44Z"},{"alias_kind":"pith_short_8","alias_value":"KZ6GLOK7","created_at":"2026-07-05T10:58:44Z"}],"graph_snapshots":[{"event_id":"sha256:6c1ca9b41e64b7974ad267926f2c0455cdc9533b46527e817d91bcc1f6c1a2b4","target":"graph","created_at":"2026-07-05T10:58:44Z","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/2402.11722/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Fourier Neural Operator (FNO) is a powerful and popular operator learning method. However, FNO is mainly used in forward prediction, yet a great many applications rely on solving inverse problems. In this paper, we propose an invertible Fourier Neural Operator (iFNO) for jointly tackling the forward and inverse problems. We developed a series of invertible Fourier blocks in the latent channel space to share the model parameters, exchange the information, and mutually regularize the learning for the bi-directional tasks. We integrated a variational auto-encoder to capture the intrinsic structur","authors_text":"Da Long, Qiwei Yuan, Shandian Zhe, Yin Yang, Zhitong Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-02-18T22:16:43Z","title":"Invertible Fourier Neural Operators for Tackling Both Forward and Inverse Problems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2402.11722","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":"sha256:9836f1eab8d2c7b2d0fcebc9b50039b5ef0f6216d744bc1cb4552b81d4609a95","target":"record","created_at":"2026-07-05T10:58:44Z","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":"68def3c320031849b8d891297d6522bf59531c89ef5a8051007036c9d908961e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-02-18T22:16:43Z","title_canon_sha256":"cc76c124ca06a58a3068fb1514ba817dcd851f9fe19adc71ffe93c67e7de728a"},"schema_version":"1.0","source":{"id":"2402.11722","kind":"arxiv","version":2}},"canonical_sha256":"567c65b95fd7d30ba0d88c6223f6539e5e4733767ee34a3775edd7cc30e980bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"567c65b95fd7d30ba0d88c6223f6539e5e4733767ee34a3775edd7cc30e980bc","first_computed_at":"2026-07-05T10:58:44.978008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:58:44.978008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"n3mIHzyeWgGN9zUmU58YqY1wSSr7+6bH3/upQtzvNgDukzSc96EHKSvYhedrwticBEeLCPNHZjURbYLmdtvIDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:58:44.978407Z","signed_message":"canonical_sha256_bytes"},"source_id":"2402.11722","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9836f1eab8d2c7b2d0fcebc9b50039b5ef0f6216d744bc1cb4552b81d4609a95","sha256:6c1ca9b41e64b7974ad267926f2c0455cdc9533b46527e817d91bcc1f6c1a2b4"],"state_sha256":"c014327eb65bcaf7a0b480fad6297baeb1269b6a33b4aa376cbc620c2ab912b1"}