{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:337UYXJ3QXLUQXSVOP4ZTCTF4X","short_pith_number":"pith:337UYXJ3","canonical_record":{"source":{"id":"2406.02597","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-01T14:32:19Z","cross_cats_sorted":["cs.AI","cs.CV","cs.NE"],"title_canon_sha256":"07f31f54c980e7aca84140be818ace011acaa4093154ceb9b546f6e1ca2d4f80","abstract_canon_sha256":"4ecd814ff6d3738befc465cf4309e1bdc868ce4f3d2cc9389edab994d130bf05"},"schema_version":"1.0"},"canonical_sha256":"deff4c5d3b85d7485e5573f9998a65e5e2c7e2a34bdfa1d1cbe589b91405a485","source":{"kind":"arxiv","id":"2406.02597","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.02597","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"arxiv_version","alias_value":"2406.02597v1","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.02597","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"pith_short_12","alias_value":"337UYXJ3QXLU","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"337UYXJ3QXLUQXSV","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"337UYXJ3","created_at":"2026-07-05T08:27:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:337UYXJ3QXLUQXSVOP4ZTCTF4X","target":"record","payload":{"canonical_record":{"source":{"id":"2406.02597","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-01T14:32:19Z","cross_cats_sorted":["cs.AI","cs.CV","cs.NE"],"title_canon_sha256":"07f31f54c980e7aca84140be818ace011acaa4093154ceb9b546f6e1ca2d4f80","abstract_canon_sha256":"4ecd814ff6d3738befc465cf4309e1bdc868ce4f3d2cc9389edab994d130bf05"},"schema_version":"1.0"},"canonical_sha256":"deff4c5d3b85d7485e5573f9998a65e5e2c7e2a34bdfa1d1cbe589b91405a485","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:27:27.606801Z","signature_b64":"0dyiBODi7YgmBo8At5n7kcYevGfBnTovfRuzHTIlzX31QCT5WnPl2UDnyQtJCahFYDKnbwIuo7n8ACN24IyKBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"deff4c5d3b85d7485e5573f9998a65e5e2c7e2a34bdfa1d1cbe589b91405a485","last_reissued_at":"2026-07-05T08:27:27.606390Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:27:27.606390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2406.02597","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:27:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sVayML6IaqlOMZ6YDbM3JZTwIT8ZECJPLfUqL/3xJzwbq3t5Pp66s82BzVw9DudN+bgi7S9YqaURqaUmLQzBCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:45:30.932718Z"},"content_sha256":"8458baef8333db5942a232e1fc932f5e764889933f06e63a83548999c7d786ac","schema_version":"1.0","event_id":"sha256:8458baef8333db5942a232e1fc932f5e764889933f06e63a83548999c7d786ac"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:337UYXJ3QXLUQXSVOP4ZTCTF4X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"CoNO: Complex Neural Operator for Continous Dynamical Physical Systems","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI","cs.CV","cs.NE"],"primary_cat":"cs.LG","authors_text":"A P Prathosh, Karn Tiwari, N M Anoop Krishnan","submitted_at":"2024-06-01T14:32:19Z","abstract_excerpt":"Neural operators extend data-driven models to map between infinite-dimensional functional spaces. While these operators perform effectively in either the time or frequency domain, their performance may be limited when applied to non-stationary spatial or temporal signals whose frequency characteristics change with time. Here, we introduce Complex Neural Operator (CoNO) that parameterizes the integral kernel using Fractional Fourier Transform (FrFT), better representing non-stationary signals in a complex-valued domain. Theoretically, we prove the universal approximation capability of CoNO. We "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.02597","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2406.02597/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:27:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NDK+xt3DUfggGWJd+lGIDRsuzHpeCOzE0QYubYSklgZ+rjMunaI8ovzxjybET9TJnccj5wDlaM6BMmmz8QFjDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T08:45:30.933419Z"},"content_sha256":"528e4b699e94711946862df0d59343e2a0e5d0af83e73ceb20735f0e88bd040e","schema_version":"1.0","event_id":"sha256:528e4b699e94711946862df0d59343e2a0e5d0af83e73ceb20735f0e88bd040e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X/bundle.json","state_url":"https://pith.science/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-10T08:45:30Z","links":{"resolver":"https://pith.science/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X","bundle":"https://pith.science/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X/bundle.json","state":"https://pith.science/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/337UYXJ3QXLUQXSVOP4ZTCTF4X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:337UYXJ3QXLUQXSVOP4ZTCTF4X","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":"4ecd814ff6d3738befc465cf4309e1bdc868ce4f3d2cc9389edab994d130bf05","cross_cats_sorted":["cs.AI","cs.CV","cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-01T14:32:19Z","title_canon_sha256":"07f31f54c980e7aca84140be818ace011acaa4093154ceb9b546f6e1ca2d4f80"},"schema_version":"1.0","source":{"id":"2406.02597","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2406.02597","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"arxiv_version","alias_value":"2406.02597v1","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2406.02597","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"pith_short_12","alias_value":"337UYXJ3QXLU","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"pith_short_16","alias_value":"337UYXJ3QXLUQXSV","created_at":"2026-07-05T08:27:27Z"},{"alias_kind":"pith_short_8","alias_value":"337UYXJ3","created_at":"2026-07-05T08:27:27Z"}],"graph_snapshots":[{"event_id":"sha256:528e4b699e94711946862df0d59343e2a0e5d0af83e73ceb20735f0e88bd040e","target":"graph","created_at":"2026-07-05T08:27:27Z","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/2406.02597/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neural operators extend data-driven models to map between infinite-dimensional functional spaces. While these operators perform effectively in either the time or frequency domain, their performance may be limited when applied to non-stationary spatial or temporal signals whose frequency characteristics change with time. Here, we introduce Complex Neural Operator (CoNO) that parameterizes the integral kernel using Fractional Fourier Transform (FrFT), better representing non-stationary signals in a complex-valued domain. Theoretically, we prove the universal approximation capability of CoNO. We ","authors_text":"A P Prathosh, Karn Tiwari, N M Anoop Krishnan","cross_cats":["cs.AI","cs.CV","cs.NE"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-01T14:32:19Z","title":"CoNO: Complex Neural Operator for Continous Dynamical Physical Systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2406.02597","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":"sha256:8458baef8333db5942a232e1fc932f5e764889933f06e63a83548999c7d786ac","target":"record","created_at":"2026-07-05T08:27:27Z","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":"4ecd814ff6d3738befc465cf4309e1bdc868ce4f3d2cc9389edab994d130bf05","cross_cats_sorted":["cs.AI","cs.CV","cs.NE"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-06-01T14:32:19Z","title_canon_sha256":"07f31f54c980e7aca84140be818ace011acaa4093154ceb9b546f6e1ca2d4f80"},"schema_version":"1.0","source":{"id":"2406.02597","kind":"arxiv","version":1}},"canonical_sha256":"deff4c5d3b85d7485e5573f9998a65e5e2c7e2a34bdfa1d1cbe589b91405a485","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"deff4c5d3b85d7485e5573f9998a65e5e2c7e2a34bdfa1d1cbe589b91405a485","first_computed_at":"2026-07-05T08:27:27.606390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:27:27.606390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0dyiBODi7YgmBo8At5n7kcYevGfBnTovfRuzHTIlzX31QCT5WnPl2UDnyQtJCahFYDKnbwIuo7n8ACN24IyKBg==","signature_status":"signed_v1","signed_at":"2026-07-05T08:27:27.606801Z","signed_message":"canonical_sha256_bytes"},"source_id":"2406.02597","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8458baef8333db5942a232e1fc932f5e764889933f06e63a83548999c7d786ac","sha256:528e4b699e94711946862df0d59343e2a0e5d0af83e73ceb20735f0e88bd040e"],"state_sha256":"964ed29d6ed367023f1e2775a10cf14cabbc200b72c8122ee0080cecc31efc9e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yb18hzRvyDMJWu0g1Vb4/fX6kkYPxqKlkc8NjH+t+4udG69q+IvYsyVnKQl4aHHVZOd1dG3w0nfthCh3qS51Dw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T08:45:30.943068Z","bundle_sha256":"ea61e275457fcc0dac4ec53441b9186802c275a6f4e52469f956db99cb52dee9"}}