{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:BS2AFUIXVXZJT6TCHV2TQOOXPG","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":"e6061bdfa4e4f2f8a5ce4d86776a686959dda45274aa57c151e0c92abf3896f9","cross_cats_sorted":["cs.AI","cs.NE","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-03-21T07:09:57Z","title_canon_sha256":"6f4c031a823190d3f9f57ebc8da8159ac1d6840ba2d57969fd1dc81ed2b2f299"},"schema_version":"1.0","source":{"id":"1803.07770","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1803.07770","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1803.07770v1","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1803.07770","created_at":"2026-05-18T00:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"BS2AFUIXVXZJ","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_16","alias_value":"BS2AFUIXVXZJT6TC","created_at":"2026-05-18T12:32:16Z"},{"alias_kind":"pith_short_8","alias_value":"BS2AFUIX","created_at":"2026-05-18T12:32:16Z"}],"graph_snapshots":[{"event_id":"sha256:50d91c170595474ebc76276934bae25eb16e90ac1626fa69073efdf33cfacd87","target":"graph","created_at":"2026-05-18T00:16:19Z","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":"Decades of research on the neural code underlying spatial navigation have revealed a diverse set of neural response properties. The Entorhinal Cortex (EC) of the mammalian brain contains a rich set of spatial correlates, including grid cells which encode space using tessellating patterns. However, the mechanisms and functional significance of these spatial representations remain largely mysterious. As a new way to understand these neural representations, we trained recurrent neural networks (RNNs) to perform navigation tasks in 2D arenas based on velocity inputs. Surprisingly, we find that gri","authors_text":"Christopher J. Cueva, Xue-Xin Wei","cross_cats":["cs.AI","cs.NE","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-03-21T07:09:57Z","title":"Emergence of grid-like representations by training recurrent neural networks to perform spatial localization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1803.07770","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:df9eb50309db92e04c2a22ad553c7fbd8087f81728a2c4b263800d3d58c20be6","target":"record","created_at":"2026-05-18T00:16:19Z","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":"e6061bdfa4e4f2f8a5ce4d86776a686959dda45274aa57c151e0c92abf3896f9","cross_cats_sorted":["cs.AI","cs.NE","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2018-03-21T07:09:57Z","title_canon_sha256":"6f4c031a823190d3f9f57ebc8da8159ac1d6840ba2d57969fd1dc81ed2b2f299"},"schema_version":"1.0","source":{"id":"1803.07770","kind":"arxiv","version":1}},"canonical_sha256":"0cb402d117adf299fa623d753839d779a4275487b8685f6b77d4cfed40d84ba4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0cb402d117adf299fa623d753839d779a4275487b8685f6b77d4cfed40d84ba4","first_computed_at":"2026-05-18T00:16:19.162697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:16:19.162697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vtF5K9Yj7J3NsX4UR2ZZY0JIgPqVnTc2swwamrCgJB0Flxw/gURXgEMfvWb2ybRW3EWW1DIFP6XugpyJf7l6Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:16:19.163360Z","signed_message":"canonical_sha256_bytes"},"source_id":"1803.07770","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df9eb50309db92e04c2a22ad553c7fbd8087f81728a2c4b263800d3d58c20be6","sha256:50d91c170595474ebc76276934bae25eb16e90ac1626fa69073efdf33cfacd87"],"state_sha256":"b47fd611aa424c565eddacb04d4498ea0094558493192ae6f852f23c699e26da"}