{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:HITFLIPWQ3G3AOJJKJUPP5E3CY","short_pith_number":"pith:HITFLIPW","canonical_record":{"source":{"id":"2405.06721","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-10T06:03:45Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"4d7b81145d94e2afcf2551c490bee27ab51761d60fe246c2e12a2e65152087ea","abstract_canon_sha256":"a39d3a4f6b421b818c8a57564bb878282d16971c6fecae0770668866645e5c91"},"schema_version":"1.0"},"canonical_sha256":"3a2655a1f686cdb039295268f7f49b160e363ec905525a0f4b3696daa6d8f4ba","source":{"kind":"arxiv","id":"2405.06721","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.06721","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"2405.06721v1","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.06721","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"HITFLIPWQ3G3","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"pith_short_16","alias_value":"HITFLIPWQ3G3AOJJ","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"pith_short_8","alias_value":"HITFLIPW","created_at":"2026-07-05T08:18:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:HITFLIPWQ3G3AOJJKJUPP5E3CY","target":"record","payload":{"canonical_record":{"source":{"id":"2405.06721","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-10T06:03:45Z","cross_cats_sorted":["cs.AI"],"title_canon_sha256":"4d7b81145d94e2afcf2551c490bee27ab51761d60fe246c2e12a2e65152087ea","abstract_canon_sha256":"a39d3a4f6b421b818c8a57564bb878282d16971c6fecae0770668866645e5c91"},"schema_version":"1.0"},"canonical_sha256":"3a2655a1f686cdb039295268f7f49b160e363ec905525a0f4b3696daa6d8f4ba","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:18:10.911702Z","signature_b64":"LAlk2U3k/wfMOB9dMZzuBE25yfta87xcmxBfmKT5VSlcYwy+s9mplcMkQNGFXOv5ftGNd5TIFFCOGlKDjBTLCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3a2655a1f686cdb039295268f7f49b160e363ec905525a0f4b3696daa6d8f4ba","last_reissued_at":"2026-07-05T08:18:10.911177Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:18:10.911177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2405.06721","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":"2026-07-05T08:18:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s206SHU73+VN7Yxq/9Ka4bPdJoPcjjgrGDoeh8qL0YoUzUy8EJTrDsWdnBbpF5BPhs1N9WXrx4FCbpaPcUrhAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:09:06.010826Z"},"content_sha256":"dd12471fd838e0b9046fbcc0746e16eaafcd990af5c7d08ced23f181859af687","schema_version":"1.0","event_id":"sha256:dd12471fd838e0b9046fbcc0746e16eaafcd990af5c7d08ced23f181859af687"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:HITFLIPWQ3G3AOJJKJUPP5E3CY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Kolmogorov-Arnold Networks are Radial Basis Function Networks","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":["cs.AI"],"primary_cat":"cs.LG","authors_text":"Ziyao Li","submitted_at":"2024-05-10T06:03:45Z","abstract_excerpt":"This short paper is a fast proof-of-concept that the 3-order B-splines used in Kolmogorov-Arnold Networks (KANs) can be well approximated by Gaussian radial basis functions. Doing so leads to FastKAN, a much faster implementation of KAN which is also a radial basis function (RBF) network."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.06721","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/2405.06721/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":"2026-07-05T08:18:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5r+3PEdWdiFZsboAj8QCTFVWs17Fzs7oXRqfntymWgO0ATsl7yTFw4QRx9NxOpxfJArvjaaMeHM9YSanvsANCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T20:09:06.011448Z"},"content_sha256":"bdfab2ce903749ff3d363b4f7362c2a90077b6fe526a7378a80584851223dbb2","schema_version":"1.0","event_id":"sha256:bdfab2ce903749ff3d363b4f7362c2a90077b6fe526a7378a80584851223dbb2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY/bundle.json","state_url":"https://pith.science/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY/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":"2026-08-09T20:09:06Z","links":{"resolver":"https://pith.science/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY","bundle":"https://pith.science/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY/bundle.json","state":"https://pith.science/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HITFLIPWQ3G3AOJJKJUPP5E3CY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:HITFLIPWQ3G3AOJJKJUPP5E3CY","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":"a39d3a4f6b421b818c8a57564bb878282d16971c6fecae0770668866645e5c91","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-10T06:03:45Z","title_canon_sha256":"4d7b81145d94e2afcf2551c490bee27ab51761d60fe246c2e12a2e65152087ea"},"schema_version":"1.0","source":{"id":"2405.06721","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2405.06721","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"arxiv_version","alias_value":"2405.06721v1","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2405.06721","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"pith_short_12","alias_value":"HITFLIPWQ3G3","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"pith_short_16","alias_value":"HITFLIPWQ3G3AOJJ","created_at":"2026-07-05T08:18:10Z"},{"alias_kind":"pith_short_8","alias_value":"HITFLIPW","created_at":"2026-07-05T08:18:10Z"}],"graph_snapshots":[{"event_id":"sha256:bdfab2ce903749ff3d363b4f7362c2a90077b6fe526a7378a80584851223dbb2","target":"graph","created_at":"2026-07-05T08:18:10Z","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/2405.06721/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This short paper is a fast proof-of-concept that the 3-order B-splines used in Kolmogorov-Arnold Networks (KANs) can be well approximated by Gaussian radial basis functions. Doing so leads to FastKAN, a much faster implementation of KAN which is also a radial basis function (RBF) network.","authors_text":"Ziyao Li","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-10T06:03:45Z","title":"Kolmogorov-Arnold Networks are Radial Basis Function Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2405.06721","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:dd12471fd838e0b9046fbcc0746e16eaafcd990af5c7d08ced23f181859af687","target":"record","created_at":"2026-07-05T08:18:10Z","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":"a39d3a4f6b421b818c8a57564bb878282d16971c6fecae0770668866645e5c91","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2024-05-10T06:03:45Z","title_canon_sha256":"4d7b81145d94e2afcf2551c490bee27ab51761d60fe246c2e12a2e65152087ea"},"schema_version":"1.0","source":{"id":"2405.06721","kind":"arxiv","version":1}},"canonical_sha256":"3a2655a1f686cdb039295268f7f49b160e363ec905525a0f4b3696daa6d8f4ba","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3a2655a1f686cdb039295268f7f49b160e363ec905525a0f4b3696daa6d8f4ba","first_computed_at":"2026-07-05T08:18:10.911177Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:18:10.911177Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LAlk2U3k/wfMOB9dMZzuBE25yfta87xcmxBfmKT5VSlcYwy+s9mplcMkQNGFXOv5ftGNd5TIFFCOGlKDjBTLCw==","signature_status":"signed_v1","signed_at":"2026-07-05T08:18:10.911702Z","signed_message":"canonical_sha256_bytes"},"source_id":"2405.06721","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd12471fd838e0b9046fbcc0746e16eaafcd990af5c7d08ced23f181859af687","sha256:bdfab2ce903749ff3d363b4f7362c2a90077b6fe526a7378a80584851223dbb2"],"state_sha256":"c20905dc42254f8f9bfe70d6f02e613b68c9b734136452cc9a1fa8f6f0402864"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jE9eVwbEW+gEynTWBkzasFxWbROE3LQjMk5sE4caT7zq69aakHv/3xjShc4LIsLs3Mk4txDBzoPlD04ePVVuCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T20:09:06.018092Z","bundle_sha256":"86eed9655532d737769363383b298e328dd764eedd75061807752e01c8e6bac4"}}