{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:23N5VGFQ6664KYZGDZMDYEKQF2","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":"705d08867850c3ff642c72876fc839bc55007271aef40630140843de7a761971","cross_cats_sorted":["cs.CV","cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2014-08-05T08:37:11Z","title_canon_sha256":"1f2d130bfadff4625390088403941530a7ecf4176ff8534c04810c3fde342ac9"},"schema_version":"1.0","source":{"id":"1408.0889","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.0889","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"arxiv_version","alias_value":"1408.0889v2","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.0889","created_at":"2026-05-18T02:45:48Z"},{"alias_kind":"pith_short_12","alias_value":"23N5VGFQ6664","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"23N5VGFQ6664KYZG","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"23N5VGFQ","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:bf0f04921b3eb9392b293c28dc3f92b0836b5a068a622106c0141409095dd047","target":"graph","created_at":"2026-05-18T02:45:48Z","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":"Self Organizing Map (SOM) has been applied into several classical modeling tasks including clustering, classification, function approximation and visualization of high dimensional spaces. The final products of a trained SOM are a set of ordered (low dimensional) indices and their associated high dimensional weight vectors. While in the above-mentioned applications, the final high dimensional weight vectors play the primary role in the computational steps, from a certain perspective, one can interpret SOM as a nonparametric encoder, in which the final low dimensional indices of the trained SOM ","authors_text":"Vahid Moosavi","cross_cats":["cs.CV","cs.NE"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2014-08-05T08:37:11Z","title":"Computing With Contextual Numbers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.0889","kind":"arxiv","version":2},"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":"sha256:7d96389fa9cf4cb94c5f10703173a3a862cef5cb62e2bbd7fdd0c903eabf7fa2","target":"record","created_at":"2026-05-18T02:45:48Z","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":"705d08867850c3ff642c72876fc839bc55007271aef40630140843de7a761971","cross_cats_sorted":["cs.CV","cs.NE"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CE","submitted_at":"2014-08-05T08:37:11Z","title_canon_sha256":"1f2d130bfadff4625390088403941530a7ecf4176ff8534c04810c3fde342ac9"},"schema_version":"1.0","source":{"id":"1408.0889","kind":"arxiv","version":2}},"canonical_sha256":"d6dbda98b0f7bdc563261e583c11502e9e2cfdf2187d4ea0be7c8fe3478339bc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d6dbda98b0f7bdc563261e583c11502e9e2cfdf2187d4ea0be7c8fe3478339bc","first_computed_at":"2026-05-18T02:45:48.257029Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:45:48.257029Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"QvoluSyX/r16cfFq8+UAUNbkKIvePIGk1705gvypufyP8OHSm34Kyiwa+1E9O32ev5o0YXYRAvk5njl/lp9EAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:45:48.257447Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.0889","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d96389fa9cf4cb94c5f10703173a3a862cef5cb62e2bbd7fdd0c903eabf7fa2","sha256:bf0f04921b3eb9392b293c28dc3f92b0836b5a068a622106c0141409095dd047"],"state_sha256":"d3cb36a58142df79d67662cd35fb3bef0cc00d7e1cb298392fe28a5e576a88a4"}