{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:GCNWMNUP52ZV2EQAEDQDTU3QKZ","short_pith_number":"pith:GCNWMNUP","canonical_record":{"source":{"id":"2503.06112","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-08T07:38:51Z","cross_cats_sorted":["cs.CL"],"title_canon_sha256":"e8644431ddbff310b8647183513c97755487887f6f19a5cbfceb7d552c180bc7","abstract_canon_sha256":"c2c5b57f0d35e3c23d9cd56ecf8e2c17586e111f05f020ed4f37e4b225a76aec"},"schema_version":"1.0"},"canonical_sha256":"309b66368feeb35d120020e039d370564431a953964992b4baf57a26af8ead34","source":{"kind":"arxiv","id":"2503.06112","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.06112","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"2503.06112v1","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.06112","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"GCNWMNUP52ZV","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"pith_short_16","alias_value":"GCNWMNUP52ZV2EQA","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"pith_short_8","alias_value":"GCNWMNUP","created_at":"2026-07-05T10:26:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:GCNWMNUP52ZV2EQAEDQDTU3QKZ","target":"record","payload":{"canonical_record":{"source":{"id":"2503.06112","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-08T07:38:51Z","cross_cats_sorted":["cs.CL"],"title_canon_sha256":"e8644431ddbff310b8647183513c97755487887f6f19a5cbfceb7d552c180bc7","abstract_canon_sha256":"c2c5b57f0d35e3c23d9cd56ecf8e2c17586e111f05f020ed4f37e4b225a76aec"},"schema_version":"1.0"},"canonical_sha256":"309b66368feeb35d120020e039d370564431a953964992b4baf57a26af8ead34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:26:54.381781Z","signature_b64":"1bDV7dvGdL6vVQaVOO7OKfORadd0dXd6k5a2KpjjwT3HiaGFNV9fkwzncWjS4peXU6uU7q8hizNeek+DJ1oJDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"309b66368feeb35d120020e039d370564431a953964992b4baf57a26af8ead34","last_reissued_at":"2026-07-05T10:26:54.381387Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:26:54.381387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2503.06112","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":"2026-07-05T10:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Z7UmEp0ay2hu/JfkZy9J7W8VXRILF9L1LYFdM9iI8+XucS20NY9AaTj/yEy2flA4Gt0Ov1lAX8JPy2eK7tq/Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T03:52:06.864496Z"},"content_sha256":"ca2530e7fda132af1b4b0f734808dc8bf4d0bffa0ec8cae22d7276992bee3274","schema_version":"1.0","event_id":"sha256:ca2530e7fda132af1b4b0f734808dc8bf4d0bffa0ec8cae22d7276992bee3274"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:GCNWMNUP52ZV2EQAEDQDTU3QKZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["cs.CL"],"primary_cat":"cs.LG","authors_text":"Anh Tran, Hoang-Thang Ta","submitted_at":"2025-03-08T07:38:51Z","abstract_excerpt":"Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis and polynomial functions, such as B-splines, ReLU-KAN utilizes a combination of ReLU functions to mimic the structure of B-splines and take advantage of ReLU's speed. However, ReLU-KAN is not built for multiple inputs, and its limitations stem from ReLU's handling of negative values, which can restrict feature extraction. To address these issues, we introduce "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.06112","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/2503.06112/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":"2026-07-05T10:26:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KAPoHE0WWTMReKt+m1CqgHQOpsNO8iors/mCp5GcS1GAPWCqxdmaOM7y10lMpMMCIt6Dp8tc0LyTk1vgTvVBCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-19T03:52:06.865002Z"},"content_sha256":"f3809135e73d4444dbfca9f5ddf13028aa2f774ab6c2c7a2adf7aa410745c117","schema_version":"1.0","event_id":"sha256:f3809135e73d4444dbfca9f5ddf13028aa2f774ab6c2c7a2adf7aa410745c117"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ/bundle.json","state_url":"https://pith.science/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ/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":"2026-08-19T03:52:06Z","links":{"resolver":"https://pith.science/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ","bundle":"https://pith.science/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ/bundle.json","state":"https://pith.science/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GCNWMNUP52ZV2EQAEDQDTU3QKZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:GCNWMNUP52ZV2EQAEDQDTU3QKZ","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":"c2c5b57f0d35e3c23d9cd56ecf8e2c17586e111f05f020ed4f37e4b225a76aec","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-08T07:38:51Z","title_canon_sha256":"e8644431ddbff310b8647183513c97755487887f6f19a5cbfceb7d552c180bc7"},"schema_version":"1.0","source":{"id":"2503.06112","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2503.06112","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"arxiv_version","alias_value":"2503.06112v1","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2503.06112","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"pith_short_12","alias_value":"GCNWMNUP52ZV","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"pith_short_16","alias_value":"GCNWMNUP52ZV2EQA","created_at":"2026-07-05T10:26:54Z"},{"alias_kind":"pith_short_8","alias_value":"GCNWMNUP","created_at":"2026-07-05T10:26:54Z"}],"graph_snapshots":[{"event_id":"sha256:f3809135e73d4444dbfca9f5ddf13028aa2f774ab6c2c7a2adf7aa410745c117","target":"graph","created_at":"2026-07-05T10:26:54Z","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/2503.06112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Kolmogorov-Arnold Networks (KANs) have inspired numerous works exploring their applications across a wide range of scientific problems, with the potential to replace Multilayer Perceptrons (MLPs). While many KANs are designed using basis and polynomial functions, such as B-splines, ReLU-KAN utilizes a combination of ReLU functions to mimic the structure of B-splines and take advantage of ReLU's speed. However, ReLU-KAN is not built for multiple inputs, and its limitations stem from ReLU's handling of negative values, which can restrict feature extraction. To address these issues, we introduce ","authors_text":"Anh Tran, Hoang-Thang Ta","cross_cats":["cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-08T07:38:51Z","title":"AF-KAN: Activation Function-Based Kolmogorov-Arnold Networks for Efficient Representation Learning"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2503.06112","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:ca2530e7fda132af1b4b0f734808dc8bf4d0bffa0ec8cae22d7276992bee3274","target":"record","created_at":"2026-07-05T10:26:54Z","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":"c2c5b57f0d35e3c23d9cd56ecf8e2c17586e111f05f020ed4f37e4b225a76aec","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LG","submitted_at":"2025-03-08T07:38:51Z","title_canon_sha256":"e8644431ddbff310b8647183513c97755487887f6f19a5cbfceb7d552c180bc7"},"schema_version":"1.0","source":{"id":"2503.06112","kind":"arxiv","version":1}},"canonical_sha256":"309b66368feeb35d120020e039d370564431a953964992b4baf57a26af8ead34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"309b66368feeb35d120020e039d370564431a953964992b4baf57a26af8ead34","first_computed_at":"2026-07-05T10:26:54.381387Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:26:54.381387Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1bDV7dvGdL6vVQaVOO7OKfORadd0dXd6k5a2KpjjwT3HiaGFNV9fkwzncWjS4peXU6uU7q8hizNeek+DJ1oJDw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:26:54.381781Z","signed_message":"canonical_sha256_bytes"},"source_id":"2503.06112","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca2530e7fda132af1b4b0f734808dc8bf4d0bffa0ec8cae22d7276992bee3274","sha256:f3809135e73d4444dbfca9f5ddf13028aa2f774ab6c2c7a2adf7aa410745c117"],"state_sha256":"2fc9877538009b22a8b13afeabb656ccb1e66dd72c45caada225a8cc2025af8a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M6l/YVZFR6H7pKtsWIfmzF4xenJj4gqZ02nkhn/wvJDSiQaskrJ4R7rskzoybb+g20oCY3cJOpHJW5TL7yPhAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-19T03:52:06.869081Z","bundle_sha256":"07f6bb649f2d5552e050f8767a54848ffc585e61b7e0b0e5b1d29865db46c654"}}