{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JUAJJ5E73VGDAQNOOGYQD37QNE","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":"d036c10117043132cfc2acbecd65be39c11ddda90e324d9dbd6c33047b7ef0a2","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2010-10-15T02:03:59Z","title_canon_sha256":"7a91a28fc768845d2c65676e78040bb673558efc1cee6886bcefa0ff65129709"},"schema_version":"1.0","source":{"id":"1010.3063","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.3063","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"arxiv_version","alias_value":"1010.3063v3","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.3063","created_at":"2026-05-18T03:57:00Z"},{"alias_kind":"pith_short_12","alias_value":"JUAJJ5E73VGD","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JUAJJ5E73VGDAQNO","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JUAJJ5E7","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:b05de88c42e213ea02588c83fe7ea1af6662ec8c1e6c20fa671476646058cff1","target":"graph","created_at":"2026-05-18T03:57:00Z","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":"The activity of collections of synchronizing neurons can be represented by weakly coupled nonlinear phase oscillators satisfying Kuramoto's equations. In this article, we build such neural-oscillator models, partly based on neurophysiological evidence, to represent approximately the learning behavior predicted and confirmed in three experiments by well-known stochastic learning models of behavioral stimulus-response theory. We use three Kuramoto oscillators to model a continuum of responses, and we provide detailed numerical simulations and analysis of the three-oscillator Kuramoto problem, in","authors_text":"Gary Oas, Jose Acacio de Barros, Patrick Suppes","cross_cats":["physics.bio-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2010-10-15T02:03:59Z","title":"Phase-Oscillator Computations as Neural Models of Stimulus-Response Conditioning and Response Selection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.3063","kind":"arxiv","version":3},"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:d21f8bad8d612a03dfeeaeceeaaad5db50351081d9b5408af8773549aef2e362","target":"record","created_at":"2026-05-18T03:57:00Z","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":"d036c10117043132cfc2acbecd65be39c11ddda90e324d9dbd6c33047b7ef0a2","cross_cats_sorted":["physics.bio-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"q-bio.NC","submitted_at":"2010-10-15T02:03:59Z","title_canon_sha256":"7a91a28fc768845d2c65676e78040bb673558efc1cee6886bcefa0ff65129709"},"schema_version":"1.0","source":{"id":"1010.3063","kind":"arxiv","version":3}},"canonical_sha256":"4d0094f49fdd4c3041ae71b101eff0691df6d7ee43bad86c5f9022c321b7ee7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4d0094f49fdd4c3041ae71b101eff0691df6d7ee43bad86c5f9022c321b7ee7d","first_computed_at":"2026-05-18T03:57:00.926697Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:00.926697Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yd6nVmXm85vxep5EAj+g5ZEHzD3AUpEz4naWSJivpV6brSXa+jXY/upcefuu5tG6qBVS08Bx2MDD7BnuiwY9BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:00.927147Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.3063","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d21f8bad8d612a03dfeeaeceeaaad5db50351081d9b5408af8773549aef2e362","sha256:b05de88c42e213ea02588c83fe7ea1af6662ec8c1e6c20fa671476646058cff1"],"state_sha256":"749dca9b6be1f2d3c7959b460ef31043e7bef91bd5d22f96c52e9ff8788e1957"}