{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:Q6UT6LVXM4XEUCRPUZZRROV7EO","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":"382eb5e3ebec5c9e4e63bf49b28becbd7760602c1422f2f531559c55e4b707dd","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2010-10-29T10:48:25Z","title_canon_sha256":"54232066c3e741a8fd884238ff57dc8900e4173dc13d49fbedd76e8367a75269"},"schema_version":"1.0","source":{"id":"1010.6178","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.6178","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"arxiv_version","alias_value":"1010.6178v1","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.6178","created_at":"2026-05-18T04:38:07Z"},{"alias_kind":"pith_short_12","alias_value":"Q6UT6LVXM4XE","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"Q6UT6LVXM4XEUCRP","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"Q6UT6LVX","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:8f5090c6fecebfa58b06de1f722f4a1d87a8bee3de4025bb0beed34b1ed0f10a","target":"graph","created_at":"2026-05-18T04:38:07Z","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"},"paper":{"abstract_excerpt":"Recent experimental work has suggested that the neural firing rate can be interpreted as a fractional derivative, at least when signal variation induces neural adaptation. Here, we show that the actual neural spike-train itself can be considered as the fractional derivative, provided that the neural signal is approximated by a sum of power-law kernels. A simple standard thresholding spiking neuron suffices to carry out such an approximation, given a suitable refractory response. Empirically, we find that the online approximation of signals with a sum of power-law kernels is beneficial for enco","authors_text":"Jaldert O. Rombouts, Sander M. Bohte","cross_cats":["cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2010-10-29T10:48:25Z","title":"Fractionally Predictive Spiking Neurons"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.6178","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":"sha256:5bcabbbaddf1f99d8e0ff32eeb3e5c2b91e50620d1c8b00207e58617a4b80c62","target":"record","created_at":"2026-05-18T04:38:07Z","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":"382eb5e3ebec5c9e4e63bf49b28becbd7760602c1422f2f531559c55e4b707dd","cross_cats_sorted":["cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2010-10-29T10:48:25Z","title_canon_sha256":"54232066c3e741a8fd884238ff57dc8900e4173dc13d49fbedd76e8367a75269"},"schema_version":"1.0","source":{"id":"1010.6178","kind":"arxiv","version":1}},"canonical_sha256":"87a93f2eb7672e4a0a2fa67318babf23a521aa9a10b43bcd250698124c960f10","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87a93f2eb7672e4a0a2fa67318babf23a521aa9a10b43bcd250698124c960f10","first_computed_at":"2026-05-18T04:38:07.347473Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:38:07.347473Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AmxYXIVFuFlZg6pEvCF2t+DCuTThs7XhaN6L7rsGAQn8FHDoIhKYdi62XAfhR+q2XRl9yfNYs0pLx3sQfohnCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:38:07.347880Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.6178","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5bcabbbaddf1f99d8e0ff32eeb3e5c2b91e50620d1c8b00207e58617a4b80c62","sha256:8f5090c6fecebfa58b06de1f722f4a1d87a8bee3de4025bb0beed34b1ed0f10a"],"state_sha256":"1b8abb4afeda86c0e54eddbd8f119c48d98615dbfb11055a9ca7db372d142829"}