{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:D2XDNY2XTY64IHATIH4O3HCL7O","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":"613e29d3b8e87f6cbadffa4c46ac90b387f5aca972f9f4ecab33f4c127865353","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-29T14:32:19Z","title_canon_sha256":"7f02d59656cd9a4e9d066b603d8624e0c7923a265dbda7ee0452e7ae4645e3ab"},"schema_version":"1.0","source":{"id":"2606.30366","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.30366","created_at":"2026-06-30T02:18:12Z"},{"alias_kind":"arxiv_version","alias_value":"2606.30366v1","created_at":"2026-06-30T02:18:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.30366","created_at":"2026-06-30T02:18:12Z"},{"alias_kind":"pith_short_12","alias_value":"D2XDNY2XTY64","created_at":"2026-06-30T02:18:12Z"},{"alias_kind":"pith_short_16","alias_value":"D2XDNY2XTY64IHAT","created_at":"2026-06-30T02:18:12Z"},{"alias_kind":"pith_short_8","alias_value":"D2XDNY2X","created_at":"2026-06-30T02:18:12Z"}],"graph_snapshots":[{"event_id":"sha256:d23ef3ad3e615ca0391e0d0e4aafb542f5bdafa8e4300dfb9246c153895a5850","target":"graph","created_at":"2026-06-30T02:18:12Z","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/2606.30366/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We develop a dynamical mean-field theory for random recurrent networks with low-rank structure and firing-rate-driven adaptation. When the random connectivity is strong enough to generate chaos, increasing adaptation strength drives the network through four regimes: a static coherent state, noise-sustained oscillations that progress from regular to irregular, stochastic switching between symmetric wells, and a global limit cycle. The theory identifies two instability mechanisms, chaos onset from the random connectivity and a Hopf bifurcation of the coherent mode, and shows how adaptation shape","authors_text":"Bowen W. Zheng, Earl K. Miller, Ila R. Fiete","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-29T14:32:19Z","title":"Mean-field theory of rich oscillatory dynamics in low-rank recurrent networks with activity-dependent adaptation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30366","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":"sha256:8ccbccaaf5a4d5212e3867053f3a8a2b9bc5645ea878732b2c83f972c5bd361d","target":"record","created_at":"2026-06-30T02:18:12Z","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":"613e29d3b8e87f6cbadffa4c46ac90b387f5aca972f9f4ecab33f4c127865353","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-29T14:32:19Z","title_canon_sha256":"7f02d59656cd9a4e9d066b603d8624e0c7923a265dbda7ee0452e7ae4645e3ab"},"schema_version":"1.0","source":{"id":"2606.30366","kind":"arxiv","version":1}},"canonical_sha256":"1eae36e3579e3dc41c1341f8ed9c4bfba396b10ec836f8c15033ed959e6a3a00","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1eae36e3579e3dc41c1341f8ed9c4bfba396b10ec836f8c15033ed959e6a3a00","first_computed_at":"2026-06-30T02:18:12.134134Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-30T02:18:12.134134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BGXOHvlOuCpKMCd76tsImq7no32jCaOIeI0xhOQRFFwQZ143TnKI/c/mBdcJtxGI69SZb4ZXsFw8CTh+RQB6Bw==","signature_status":"signed_v1","signed_at":"2026-06-30T02:18:12.134816Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.30366","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8ccbccaaf5a4d5212e3867053f3a8a2b9bc5645ea878732b2c83f972c5bd361d","sha256:d23ef3ad3e615ca0391e0d0e4aafb542f5bdafa8e4300dfb9246c153895a5850"],"state_sha256":"8033e23bd993834be82e5acc54b72cd4cffea337f8576080762bc52cf6a23367"}