{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:D2IXHJKYHUXMCOSAKZDI53V3HX","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":"27d2dcc3fea5ce593005e1ce3efe9e4385c58d79b78632dd9d7689cc37b4073d","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2022-06-29T23:03:32Z","title_canon_sha256":"2d0fe4c54956a3b31d4ccafe7dd66d056b8634e16e4964f47bb22d2f42b50271"},"schema_version":"1.0","source":{"id":"2206.14942","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.14942","created_at":"2026-07-05T06:03:55Z"},{"alias_kind":"arxiv_version","alias_value":"2206.14942v1","created_at":"2026-07-05T06:03:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.14942","created_at":"2026-07-05T06:03:55Z"},{"alias_kind":"pith_short_12","alias_value":"D2IXHJKYHUXM","created_at":"2026-07-05T06:03:55Z"},{"alias_kind":"pith_short_16","alias_value":"D2IXHJKYHUXMCOSA","created_at":"2026-07-05T06:03:55Z"},{"alias_kind":"pith_short_8","alias_value":"D2IXHJKY","created_at":"2026-07-05T06:03:55Z"}],"graph_snapshots":[{"event_id":"sha256:1d6a6c5eec6f2aacfe1a6d24625a13a2126accce3d107a1b2cfc89d9062b34e1","target":"graph","created_at":"2026-07-05T06:03:55Z","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/2206.14942/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the brain, coherent neuronal activities often appear simultaneously in multiple frequency bands, e.g., as combinations of alpha (8-12 Hz), beta (12.5-30 Hz), gamma (30-120 Hz) oscillations, among others. These rhythms are believed to underlie information processing and cognitive functions and have been subjected to intense experimental and theoretical scrutiny. Computational modeling has provided a framework for the emergence of network-level oscillatory behavior from the interaction of spiking neurons. However, due to the strong nonlinear interactions between highly recurrent spiking popul","authors_text":"Louis Tao, Ruilin Zhang, Tianyi Wu, Yuhang Cai, Zhongyi Wang, Zhuo-Cheng Xiao","cross_cats":["math.DS"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2022-06-29T23:03:32Z","title":"Multi-band oscillations emerge from a simple spiking network"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.14942","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":"sha256:94dd759722ccccaca0bb5f589d451abc41821dd462643039207edec3fa595a5f","target":"record","created_at":"2026-07-05T06:03:55Z","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":"27d2dcc3fea5ce593005e1ce3efe9e4385c58d79b78632dd9d7689cc37b4073d","cross_cats_sorted":["math.DS"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"q-bio.NC","submitted_at":"2022-06-29T23:03:32Z","title_canon_sha256":"2d0fe4c54956a3b31d4ccafe7dd66d056b8634e16e4964f47bb22d2f42b50271"},"schema_version":"1.0","source":{"id":"2206.14942","kind":"arxiv","version":1}},"canonical_sha256":"1e9173a5583d2ec13a4056468eeebb3df04e7a77c1910b9500e9bd941292c467","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e9173a5583d2ec13a4056468eeebb3df04e7a77c1910b9500e9bd941292c467","first_computed_at":"2026-07-05T06:03:55.373482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:03:55.373482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fcWpDrNcB674xXdcbuaYZd3yDRg2R9lPDsM9xP6ssiXNPflcT6enn75n3xZUr+6FwlLnbA58OaSIHDbIdmT1CA==","signature_status":"signed_v1","signed_at":"2026-07-05T06:03:55.373840Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.14942","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94dd759722ccccaca0bb5f589d451abc41821dd462643039207edec3fa595a5f","sha256:1d6a6c5eec6f2aacfe1a6d24625a13a2126accce3d107a1b2cfc89d9062b34e1"],"state_sha256":"201466f851fe40872c2d4e7cf1175bf3defc53e67716bb579c3e1e1d3a3b43ae"}