{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:J3UVPDGW2JEX5ES5SDT3N3VJCA","short_pith_number":"pith:J3UVPDGW","canonical_record":{"source":{"id":"2412.13571","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-18T07:42:34Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"63e8097158dc2e9e28db256143eea2dbcda804dc154abf084c546d90cbe9e61d","abstract_canon_sha256":"4e360f565dc6142261d997bc4b7f8779419d4e493efac9bfec04037d087f316f"},"schema_version":"1.0"},"canonical_sha256":"4ee9578cd6d2497e925d90e7b6eea91004e6115fafc302d214979b1bc7542162","source":{"kind":"arxiv","id":"2412.13571","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13571","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13571v1","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13571","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"pith_short_12","alias_value":"J3UVPDGW2JEX","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"pith_short_16","alias_value":"J3UVPDGW2JEX5ES5","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"pith_short_8","alias_value":"J3UVPDGW","created_at":"2026-07-05T09:51:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:J3UVPDGW2JEX5ES5SDT3N3VJCA","target":"record","payload":{"canonical_record":{"source":{"id":"2412.13571","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-18T07:42:34Z","cross_cats_sorted":["cs.NA","math.NA"],"title_canon_sha256":"63e8097158dc2e9e28db256143eea2dbcda804dc154abf084c546d90cbe9e61d","abstract_canon_sha256":"4e360f565dc6142261d997bc4b7f8779419d4e493efac9bfec04037d087f316f"},"schema_version":"1.0"},"canonical_sha256":"4ee9578cd6d2497e925d90e7b6eea91004e6115fafc302d214979b1bc7542162","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:51:04.192277Z","signature_b64":"/u/2A1ugWwUOKsmOvBdA2aAw+65xNV/WkGUg8KcSx1SGpVYzhQu/qTQ6GKy/bhChcJsnXgZeC3gXkmVdGL2QBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4ee9578cd6d2497e925d90e7b6eea91004e6115fafc302d214979b1bc7542162","last_reissued_at":"2026-07-05T09:51:04.191772Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:51:04.191772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2412.13571","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":"2026-07-05T09:51:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FkgMI7+YPNmZnnD9HiD0aziidVB6INIS0CRVg/aDHQZq3z9cq5Z6NOf02xDziIk+Ay2WSUa3/bgKHWwwnr7mDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:52:42.802640Z"},"content_sha256":"32eb6e1ef14e773a15b4a793c9877fc3e6456b64ea40b8071c76dd3a5479e76d","schema_version":"1.0","event_id":"sha256:32eb6e1ef14e773a15b4a793c9877fc3e6456b64ea40b8071c76dd3a5479e76d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:J3UVPDGW2JEX5ES5SDT3N3VJCA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"PowerMLP: An Efficient Version of KAN","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.NA","math.NA"],"primary_cat":"cs.LG","authors_text":"Lijia Yu, Ruichen Qiu, Shiwen Wang, Xiao-Shan Gao, Yibo Miao, Yifan Zhu","submitted_at":"2024-12-18T07:42:34Z","abstract_excerpt":"The Kolmogorov-Arnold Network (KAN) is a new network architecture known for its high accuracy in several tasks such as function fitting and PDE solving. The superior expressive capability of KAN arises from the Kolmogorov-Arnold representation theorem and learnable spline functions. However, the computation of spline functions involves multiple iterations, which renders KAN significantly slower than MLP, thereby increasing the cost associated with model training and deployment. The authors of KAN have also noted that ``the biggest bottleneck of KANs lies in its slow training. KANs are usually "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13571","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/2412.13571/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":"2026-07-05T09:51:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l8tjYQCmE8nALfVXGhy+9B3Ay2GsDDEwT7GModto6UQePOJzFFJjI37EEe1yg2AMALLFjAbQPWDVj6+pZZEXBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T18:52:42.803253Z"},"content_sha256":"65f89da23ca5eb605a2290d7f361e2dd2e2b57f27bcfb862a7b4b21d9c49a70b","schema_version":"1.0","event_id":"sha256:65f89da23ca5eb605a2290d7f361e2dd2e2b57f27bcfb862a7b4b21d9c49a70b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA/bundle.json","state_url":"https://pith.science/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA/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":"2026-08-13T18:52:42Z","links":{"resolver":"https://pith.science/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA","bundle":"https://pith.science/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA/bundle.json","state":"https://pith.science/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/J3UVPDGW2JEX5ES5SDT3N3VJCA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:J3UVPDGW2JEX5ES5SDT3N3VJCA","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":"4e360f565dc6142261d997bc4b7f8779419d4e493efac9bfec04037d087f316f","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-18T07:42:34Z","title_canon_sha256":"63e8097158dc2e9e28db256143eea2dbcda804dc154abf084c546d90cbe9e61d"},"schema_version":"1.0","source":{"id":"2412.13571","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.13571","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"arxiv_version","alias_value":"2412.13571v1","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.13571","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"pith_short_12","alias_value":"J3UVPDGW2JEX","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"pith_short_16","alias_value":"J3UVPDGW2JEX5ES5","created_at":"2026-07-05T09:51:04Z"},{"alias_kind":"pith_short_8","alias_value":"J3UVPDGW","created_at":"2026-07-05T09:51:04Z"}],"graph_snapshots":[{"event_id":"sha256:65f89da23ca5eb605a2290d7f361e2dd2e2b57f27bcfb862a7b4b21d9c49a70b","target":"graph","created_at":"2026-07-05T09:51:04Z","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/2412.13571/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Kolmogorov-Arnold Network (KAN) is a new network architecture known for its high accuracy in several tasks such as function fitting and PDE solving. The superior expressive capability of KAN arises from the Kolmogorov-Arnold representation theorem and learnable spline functions. However, the computation of spline functions involves multiple iterations, which renders KAN significantly slower than MLP, thereby increasing the cost associated with model training and deployment. The authors of KAN have also noted that ``the biggest bottleneck of KANs lies in its slow training. KANs are usually ","authors_text":"Lijia Yu, Ruichen Qiu, Shiwen Wang, Xiao-Shan Gao, Yibo Miao, Yifan Zhu","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-18T07:42:34Z","title":"PowerMLP: An Efficient Version of KAN"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.13571","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":"sha256:32eb6e1ef14e773a15b4a793c9877fc3e6456b64ea40b8071c76dd3a5479e76d","target":"record","created_at":"2026-07-05T09:51:04Z","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":"4e360f565dc6142261d997bc4b7f8779419d4e493efac9bfec04037d087f316f","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-12-18T07:42:34Z","title_canon_sha256":"63e8097158dc2e9e28db256143eea2dbcda804dc154abf084c546d90cbe9e61d"},"schema_version":"1.0","source":{"id":"2412.13571","kind":"arxiv","version":1}},"canonical_sha256":"4ee9578cd6d2497e925d90e7b6eea91004e6115fafc302d214979b1bc7542162","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4ee9578cd6d2497e925d90e7b6eea91004e6115fafc302d214979b1bc7542162","first_computed_at":"2026-07-05T09:51:04.191772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:51:04.191772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/u/2A1ugWwUOKsmOvBdA2aAw+65xNV/WkGUg8KcSx1SGpVYzhQu/qTQ6GKy/bhChcJsnXgZeC3gXkmVdGL2QBg==","signature_status":"signed_v1","signed_at":"2026-07-05T09:51:04.192277Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.13571","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:32eb6e1ef14e773a15b4a793c9877fc3e6456b64ea40b8071c76dd3a5479e76d","sha256:65f89da23ca5eb605a2290d7f361e2dd2e2b57f27bcfb862a7b4b21d9c49a70b"],"state_sha256":"fa28eb6b1afc0e3faada50540d9dd1f9b8640ce978c2f5c5487e701488ddbba9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wAL0kZHw2cuRUkjdjySWnhsEViS/8jOA0Jn7adKATXSuOdM06kMBgEaL5J4Q6PcYl7xl0sd4SSpoUbENzxlODA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T18:52:42.811186Z","bundle_sha256":"6a6945d69f258ffd488f0b3e7f02e0e807c0f9326037099ad61d2cff02f04477"}}