{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:D4YY5EITW45EPGVMZ6Y3AUMK5U","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":"e099099480f4a2c29037b2ddebd94268d8503c17b9411b7b379d9a487cde59c7","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-12T17:11:29Z","title_canon_sha256":"3f865bb1ecd913b51e86ad5ca6f3ade3b15a75a474b2598025c498a6067a7fbc"},"schema_version":"1.0","source":{"id":"2606.14649","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.14649","created_at":"2026-06-25T00:18:14Z"},{"alias_kind":"arxiv_version","alias_value":"2606.14649v2","created_at":"2026-06-25T00:18:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.14649","created_at":"2026-06-25T00:18:14Z"},{"alias_kind":"pith_short_12","alias_value":"D4YY5EITW45E","created_at":"2026-06-25T00:18:14Z"},{"alias_kind":"pith_short_16","alias_value":"D4YY5EITW45EPGVM","created_at":"2026-06-25T00:18:14Z"},{"alias_kind":"pith_short_8","alias_value":"D4YY5EIT","created_at":"2026-06-25T00:18:14Z"}],"graph_snapshots":[{"event_id":"sha256:32c0733b2fd8eeb2e7c86c332e426db9e8efe16d5d22cb92956780070828f96c","target":"graph","created_at":"2026-06-25T00:18:14Z","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/2606.14649/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Continuous Attractor Neural Networks (CANNs) traditionally rely on pre-wired recurrent connectivity to model spatial representations, path integration, and anticipatory dynamics. However, the biological mechanisms through which this structured connectivity emerges via learning remain relatively unexplored. This work presents a theoretical framework revealing how continuous attractor connectivity and its computational properties self-organize through Hebbian plasticity, firing-rate adaptation, and global inhibition. We show that translationally invariant inputs naturally drive the emergence of ","authors_text":"Emilio Kropff, Facundo Emina","cross_cats":["cond-mat.dis-nn","nlin.AO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-12T17:11:29Z","title":"Prospective Coding and Path Integration Emerge as Equilibrium Solutions of Self-Organizing Neural Networks with Firing-Rate Adaptation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.14649","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":"sha256:851910638f8f2ffff6510ad8170fb6e480fa8ea5c9670c48462f3026107ea280","target":"record","created_at":"2026-06-25T00:18:14Z","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":"e099099480f4a2c29037b2ddebd94268d8503c17b9411b7b379d9a487cde59c7","cross_cats_sorted":["cond-mat.dis-nn","nlin.AO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-12T17:11:29Z","title_canon_sha256":"3f865bb1ecd913b51e86ad5ca6f3ade3b15a75a474b2598025c498a6067a7fbc"},"schema_version":"1.0","source":{"id":"2606.14649","kind":"arxiv","version":2}},"canonical_sha256":"1f318e9113b73a479aaccfb1b0518aed35440b9d11468a42c56bceb6bd02668f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1f318e9113b73a479aaccfb1b0518aed35440b9d11468a42c56bceb6bd02668f","first_computed_at":"2026-06-25T00:18:14.414641Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T00:18:14.414641Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qEuhbiHpCLD/PiLjGQy9WRS/wPZCT+TmWVBkMpknwQyjfWwTRMMOEsgEdSZhUgKxG/5CTdLI17vKjXP/9ofECQ==","signature_status":"signed_v1","signed_at":"2026-06-25T00:18:14.415052Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.14649","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:851910638f8f2ffff6510ad8170fb6e480fa8ea5c9670c48462f3026107ea280","sha256:32c0733b2fd8eeb2e7c86c332e426db9e8efe16d5d22cb92956780070828f96c"],"state_sha256":"784411958f8743c39ad8d264c6bad7cabe45d97b9b3b70a602584577369df76a"}