{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BBL2DMFOZELPYYP4VP6A2OJYGV","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":"304b775a552fdbaa8633a328885a4698770114a24014851b736662c4fb8924a0","cross_cats_sorted":["cs.NA","cs.NE","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-05-15T23:06:34Z","title_canon_sha256":"945701646eeb736b9474f61d7dd697fc666fa285570d5834f24b2d061dfa653f"},"schema_version":"1.0","source":{"id":"1705.05475","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1705.05475","created_at":"2026-05-18T00:44:22Z"},{"alias_kind":"arxiv_version","alias_value":"1705.05475v1","created_at":"2026-05-18T00:44:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1705.05475","created_at":"2026-05-18T00:44:22Z"},{"alias_kind":"pith_short_12","alias_value":"BBL2DMFOZELP","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BBL2DMFOZELPYYP4","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BBL2DMFO","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:da3b28e7667fc5ca8e1112a5f6c3581aa9a54de087fca9ef07b12b8dd7655f19","target":"graph","created_at":"2026-05-18T00:44:22Z","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":"In a spiking neural network (SNN), individual neurons operate autonomously and only communicate with other neurons sparingly and asynchronously via spike signals. These characteristics render a massively parallel hardware implementation of SNN a potentially powerful computer, albeit a non von Neumann one. But can one guarantee that a SNN computer solves some important problems reliably? In this paper, we formulate a mathematical model of one SNN that can be configured for a sparse coding problem for feature extraction. With a moderate but well-defined assumption, we prove that the SNN indeed s","authors_text":"Mike Davies, Ping Tak Peter Tang, Tsung-han Lin","cross_cats":["cs.NA","cs.NE","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-05-15T23:06:34Z","title":"Sparse Coding by Spiking Neural Networks: Convergence Theory and Computational Results"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1705.05475","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":"sha256:009993f888fe81cea8c51fffa96a922aa5d04983103ea6502410d73181014fc8","target":"record","created_at":"2026-05-18T00:44:22Z","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":"304b775a552fdbaa8633a328885a4698770114a24014851b736662c4fb8924a0","cross_cats_sorted":["cs.NA","cs.NE","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2017-05-15T23:06:34Z","title_canon_sha256":"945701646eeb736b9474f61d7dd697fc666fa285570d5834f24b2d061dfa653f"},"schema_version":"1.0","source":{"id":"1705.05475","kind":"arxiv","version":1}},"canonical_sha256":"0857a1b0aec916fc61fcabfc0d3938357e4c3598f8b12e7deb8bf2961bd3ceae","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0857a1b0aec916fc61fcabfc0d3938357e4c3598f8b12e7deb8bf2961bd3ceae","first_computed_at":"2026-05-18T00:44:22.651096Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:22.651096Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eKesfu1ctEtrWAmSElAc8IAFg83Uh1RcBiQOT3tkuvpeC8pL/1H8jfl1eJwlxW3bQeP0Mt/9RafylZ78HlAHDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:22.651529Z","signed_message":"canonical_sha256_bytes"},"source_id":"1705.05475","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:009993f888fe81cea8c51fffa96a922aa5d04983103ea6502410d73181014fc8","sha256:da3b28e7667fc5ca8e1112a5f6c3581aa9a54de087fca9ef07b12b8dd7655f19"],"state_sha256":"12731f1ec5e916785363e4690bc7674f14f3a63a290469664b54e58f737a3493"}