{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LOBCC452PD4AQKEZOWPHMINL43","short_pith_number":"pith:LOBCC452","canonical_record":{"source":{"id":"2605.22182","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T08:52:36Z","cross_cats_sorted":[],"title_canon_sha256":"fa78532b2d28a483eedfe09bc4a9701de3e54043567081615776702b1619a522","abstract_canon_sha256":"ef8d70cb3e0d7d36b33675cd377cdc966211e73d7d0056c87613bcc8a2d1382f"},"schema_version":"1.0"},"canonical_sha256":"5b822173ba78f8082899759e7621abe6c47200ab8aaa2a53c45d758618b5dc6c","source":{"kind":"arxiv","id":"2605.22182","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22182","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22182v1","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22182","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"LOBCC452PD4A","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"pith_short_16","alias_value":"LOBCC452PD4AQKEZ","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"pith_short_8","alias_value":"LOBCC452","created_at":"2026-05-22T01:04:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LOBCC452PD4AQKEZOWPHMINL43","target":"record","payload":{"canonical_record":{"source":{"id":"2605.22182","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T08:52:36Z","cross_cats_sorted":[],"title_canon_sha256":"fa78532b2d28a483eedfe09bc4a9701de3e54043567081615776702b1619a522","abstract_canon_sha256":"ef8d70cb3e0d7d36b33675cd377cdc966211e73d7d0056c87613bcc8a2d1382f"},"schema_version":"1.0"},"canonical_sha256":"5b822173ba78f8082899759e7621abe6c47200ab8aaa2a53c45d758618b5dc6c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-22T01:04:30.639400Z","signature_b64":"/OE6K5dsv02OYl2vuV0I5GBtPB97ECetTC7IYV5thx8pXTBBNpt427F5z8Y9yzn7k59o3OG5fSGzDWgOX5LaCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5b822173ba78f8082899759e7621abe6c47200ab8aaa2a53c45d758618b5dc6c","last_reissued_at":"2026-05-22T01:04:30.638712Z","signature_status":"signed_v1","first_computed_at":"2026-05-22T01:04:30.638712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.22182","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":"2026-05-22T01:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0yiUmBOUbW0xF6gP3Y1PowwDa3SFnaNZ2fnSiMGDD4+396uOMkksKvVJH6N89KrIDfR4MXOsRuDGzxKLN0LACA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:05:30.391300Z"},"content_sha256":"b1d61fdc045552c572cee29c135c55253a7e0045250e47b1356dcddecc8ece84","schema_version":"1.0","event_id":"sha256:b1d61fdc045552c572cee29c135c55253a7e0045250e47b1356dcddecc8ece84"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LOBCC452PD4AQKEZOWPHMINL43","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"IKNO: Infinite-order Kernel Neural Operators","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Ivor W. Tsang, Pengyuan Zhu, Yueming Lyu","submitted_at":"2026-05-21T08:52:36Z","abstract_excerpt":"Neural operators have achieved significant success in modern scientific computing due to their flexibility and strong generalization capabilities. Existing models, however, primarily rely on first-order kernel integral approximations, which severely limit their expressivity. To address this, we propose the Infinite-order Kernel Neural Operator (IKNO), which constructs neural operators via infinite-order kernel integrals and admits an elegant closed-form finite approximation. We develop two complementary infinite-order neural operator constructions: IKNO-Vanilla, which applies the full-kernel r"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22182","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/2605.22182/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":"2026-05-22T01:04:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j8Y0ajUv7I2Bh+rxRIcNDUIrQQb2ruUJiQB8OsOgwl9U29kzlN3ess9K4eMNW1GmdeBK0owfpH/+aPnFwpl9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T10:05:30.392056Z"},"content_sha256":"207ae8d586cccc1837b7b81c3332ef53e7f356783bb5b296de595744602c2809","schema_version":"1.0","event_id":"sha256:207ae8d586cccc1837b7b81c3332ef53e7f356783bb5b296de595744602c2809"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LOBCC452PD4AQKEZOWPHMINL43/bundle.json","state_url":"https://pith.science/pith/LOBCC452PD4AQKEZOWPHMINL43/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LOBCC452PD4AQKEZOWPHMINL43/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":"2026-05-25T10:05:30Z","links":{"resolver":"https://pith.science/pith/LOBCC452PD4AQKEZOWPHMINL43","bundle":"https://pith.science/pith/LOBCC452PD4AQKEZOWPHMINL43/bundle.json","state":"https://pith.science/pith/LOBCC452PD4AQKEZOWPHMINL43/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LOBCC452PD4AQKEZOWPHMINL43/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LOBCC452PD4AQKEZOWPHMINL43","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":"ef8d70cb3e0d7d36b33675cd377cdc966211e73d7d0056c87613bcc8a2d1382f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T08:52:36Z","title_canon_sha256":"fa78532b2d28a483eedfe09bc4a9701de3e54043567081615776702b1619a522"},"schema_version":"1.0","source":{"id":"2605.22182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22182","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22182v1","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22182","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"pith_short_12","alias_value":"LOBCC452PD4A","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"pith_short_16","alias_value":"LOBCC452PD4AQKEZ","created_at":"2026-05-22T01:04:30Z"},{"alias_kind":"pith_short_8","alias_value":"LOBCC452","created_at":"2026-05-22T01:04:30Z"}],"graph_snapshots":[{"event_id":"sha256:207ae8d586cccc1837b7b81c3332ef53e7f356783bb5b296de595744602c2809","target":"graph","created_at":"2026-05-22T01:04:30Z","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/2605.22182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Neural operators have achieved significant success in modern scientific computing due to their flexibility and strong generalization capabilities. Existing models, however, primarily rely on first-order kernel integral approximations, which severely limit their expressivity. To address this, we propose the Infinite-order Kernel Neural Operator (IKNO), which constructs neural operators via infinite-order kernel integrals and admits an elegant closed-form finite approximation. We develop two complementary infinite-order neural operator constructions: IKNO-Vanilla, which applies the full-kernel r","authors_text":"Ivor W. Tsang, Pengyuan Zhu, Yueming Lyu","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T08:52:36Z","title":"IKNO: Infinite-order Kernel Neural Operators"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22182","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:b1d61fdc045552c572cee29c135c55253a7e0045250e47b1356dcddecc8ece84","target":"record","created_at":"2026-05-22T01:04:30Z","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":"ef8d70cb3e0d7d36b33675cd377cdc966211e73d7d0056c87613bcc8a2d1382f","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2026-05-21T08:52:36Z","title_canon_sha256":"fa78532b2d28a483eedfe09bc4a9701de3e54043567081615776702b1619a522"},"schema_version":"1.0","source":{"id":"2605.22182","kind":"arxiv","version":1}},"canonical_sha256":"5b822173ba78f8082899759e7621abe6c47200ab8aaa2a53c45d758618b5dc6c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5b822173ba78f8082899759e7621abe6c47200ab8aaa2a53c45d758618b5dc6c","first_computed_at":"2026-05-22T01:04:30.638712Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:30.638712Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/OE6K5dsv02OYl2vuV0I5GBtPB97ECetTC7IYV5thx8pXTBBNpt427F5z8Y9yzn7k59o3OG5fSGzDWgOX5LaCg==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:30.639400Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1d61fdc045552c572cee29c135c55253a7e0045250e47b1356dcddecc8ece84","sha256:207ae8d586cccc1837b7b81c3332ef53e7f356783bb5b296de595744602c2809"],"state_sha256":"fea9265527eeee1a251417a426b563781a4ea34dfa94d11cdc06227b6bb018f7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r/P5/9S5O8ijeHgrH7IRlfGEiN56QtNRtlYbFmld+Jf2v7P1OejcXPu90B56c5VlWSXbWVBYW3hDoS8fIeiiDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T10:05:30.395814Z","bundle_sha256":"7c9935aa16469ef6619c33135a454fb7962b2d3c9b0b61a4b21e91dac39aa004"}}