{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:D2XDNY2XTY64IHATIH4O3HCL7O","short_pith_number":"pith:D2XDNY2X","canonical_record":{"source":{"id":"2606.30366","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-29T14:32:19Z","cross_cats_sorted":[],"title_canon_sha256":"7f02d59656cd9a4e9d066b603d8624e0c7923a265dbda7ee0452e7ae4645e3ab","abstract_canon_sha256":"613e29d3b8e87f6cbadffa4c46ac90b387f5aca972f9f4ecab33f4c127865353"},"schema_version":"1.0"},"canonical_sha256":"1eae36e3579e3dc41c1341f8ed9c4bfba396b10ec836f8c15033ed959e6a3a00","source":{"kind":"arxiv","id":"2606.30366","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"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:D2XDNY2XTY64IHATIH4O3HCL7O","target":"record","payload":{"canonical_record":{"source":{"id":"2606.30366","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"q-bio.NC","submitted_at":"2026-06-29T14:32:19Z","cross_cats_sorted":[],"title_canon_sha256":"7f02d59656cd9a4e9d066b603d8624e0c7923a265dbda7ee0452e7ae4645e3ab","abstract_canon_sha256":"613e29d3b8e87f6cbadffa4c46ac90b387f5aca972f9f4ecab33f4c127865353"},"schema_version":"1.0"},"canonical_sha256":"1eae36e3579e3dc41c1341f8ed9c4bfba396b10ec836f8c15033ed959e6a3a00","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-30T02:18:12.134816Z","signature_b64":"BGXOHvlOuCpKMCd76tsImq7no32jCaOIeI0xhOQRFFwQZ143TnKI/c/mBdcJtxGI69SZb4ZXsFw8CTh+RQB6Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eae36e3579e3dc41c1341f8ed9c4bfba396b10ec836f8c15033ed959e6a3a00","last_reissued_at":"2026-06-30T02:18:12.134134Z","signature_status":"signed_v1","first_computed_at":"2026-06-30T02:18:12.134134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.30366","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T02:18:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KMd97vV1i6DhjQmJ2Q+kLme0LnOT2kbAyQHKvihxcp4nC5HXpdDZBSNXtcquNSUK7lg70lcerfTs2h5DmjfBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:29:47.828018Z"},"content_sha256":"8ccbccaaf5a4d5212e3867053f3a8a2b9bc5645ea878732b2c83f972c5bd361d","schema_version":"1.0","event_id":"sha256:8ccbccaaf5a4d5212e3867053f3a8a2b9bc5645ea878732b2c83f972c5bd361d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:D2XDNY2XTY64IHATIH4O3HCL7O","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mean-field theory of rich oscillatory dynamics in low-rank recurrent networks with activity-dependent adaptation","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":[],"primary_cat":"q-bio.NC","authors_text":"Bowen W. Zheng, Earl K. Miller, Ila R. Fiete","submitted_at":"2026-06-29T14:32:19Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.30366","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2606.30366/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-30T02:18:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2HHzuWO2ZExFITFfsYbKjYPLzP5ZPblNcar2GPS9C9PuyPQDboY+yRxmYFIaL+1JqbrJ0FN8w3DHzKSLWz9GDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T22:29:47.828587Z"},"content_sha256":"d23ef3ad3e615ca0391e0d0e4aafb542f5bdafa8e4300dfb9246c153895a5850","schema_version":"1.0","event_id":"sha256:d23ef3ad3e615ca0391e0d0e4aafb542f5bdafa8e4300dfb9246c153895a5850"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D2XDNY2XTY64IHATIH4O3HCL7O/bundle.json","state_url":"https://pith.science/pith/D2XDNY2XTY64IHATIH4O3HCL7O/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D2XDNY2XTY64IHATIH4O3HCL7O/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-08-03T22:29:47Z","links":{"resolver":"https://pith.science/pith/D2XDNY2XTY64IHATIH4O3HCL7O","bundle":"https://pith.science/pith/D2XDNY2XTY64IHATIH4O3HCL7O/bundle.json","state":"https://pith.science/pith/D2XDNY2XTY64IHATIH4O3HCL7O/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D2XDNY2XTY64IHATIH4O3HCL7O/bundle.json"},"state":{"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"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cQ09i2nheuKlST+ex9fehdFe8XkauLkO8WI14qF67F/HZ7Ro2g/2lIPytOBGTP4KIQCSBfJ4rJtzhiXSJQ4xBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T22:29:47.834220Z","bundle_sha256":"ea86ee4c314fa780eff22395bee0e5da4f2b3cbded4117a5d21aae2926402f27"}}