{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:PUEEHNJUNC7YYJAWWGUJMEMSGY","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":"63a876dcc9cfb1b5993afadfce45a4fbf6dcb3de0fd23c75091750d881a53116","cross_cats_sorted":["cs.SY","eess.SY","math.AP","math.DS","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-10-24T20:53:00Z","title_canon_sha256":"19dda2b7278b83f2ed4771d0b9d2a87ed4bebdf7601548779d4a45ecb6fe969f"},"schema_version":"1.0","source":{"id":"2510.22022","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.22022","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"arxiv_version","alias_value":"2510.22022v2","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.22022","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_12","alias_value":"PUEEHNJUNC7Y","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_16","alias_value":"PUEEHNJUNC7YYJAW","created_at":"2026-06-25T01:17:47Z"},{"alias_kind":"pith_short_8","alias_value":"PUEEHNJU","created_at":"2026-06-25T01:17:47Z"}],"graph_snapshots":[{"event_id":"sha256:40877ad6099e04b04af5371048892d967c75f2db2f7f7b9573dbf083e31ac216","target":"graph","created_at":"2026-06-25T01:17:47Z","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/2510.22022/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Wilson-Cowan and Amari-type models capture nonlinear neural population dynamics, providing a fundamental framework for modeling how sensory and other exogenous inputs shape activity in neural tissue. We study the controllability properties of Amari-type neural fields subject to piecewise/constant-in-time inputs. The model describes the time evolution of the polarization of neural tissue within a spatial continuum, with synaptic interactions represented by a convolution kernel. We study the synthesis of piecewise/constant-in-time inputs to achieve two-point boundary-type control objectives, nam","authors_text":"Cyprien Tamekue, ShiNung Ching","cross_cats":["cs.SY","eess.SY","math.AP","math.DS","q-bio.NC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-10-24T20:53:00Z","title":"Control of neural field equations with step-function inputs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.22022","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:e22c96d895d0c5afd9ff31f43201247a8d2e978f51b95d91a5fe749c0fdac216","target":"record","created_at":"2026-06-25T01:17:47Z","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":"63a876dcc9cfb1b5993afadfce45a4fbf6dcb3de0fd23c75091750d881a53116","cross_cats_sorted":["cs.SY","eess.SY","math.AP","math.DS","q-bio.NC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OC","submitted_at":"2025-10-24T20:53:00Z","title_canon_sha256":"19dda2b7278b83f2ed4771d0b9d2a87ed4bebdf7601548779d4a45ecb6fe969f"},"schema_version":"1.0","source":{"id":"2510.22022","kind":"arxiv","version":2}},"canonical_sha256":"7d0843b53468bf8c2416b1a89611923633cbc7a72be0893700887e3c2f7deaca","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d0843b53468bf8c2416b1a89611923633cbc7a72be0893700887e3c2f7deaca","first_computed_at":"2026-06-25T01:17:47.109609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-25T01:17:47.109609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MhQaMUdO8mUUn45r2m8ZzuWZmtJTwYf5My9QbAjGWT70TCp8bTlQ3+gJW13Wd3hl8Il4HBd5yA5xw0k9Yiz/CA==","signature_status":"signed_v1","signed_at":"2026-06-25T01:17:47.110075Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.22022","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e22c96d895d0c5afd9ff31f43201247a8d2e978f51b95d91a5fe749c0fdac216","sha256:40877ad6099e04b04af5371048892d967c75f2db2f7f7b9573dbf083e31ac216"],"state_sha256":"bf9896b61067ebf99ddb7c96e45f7249ffb670b39b88a6db96c66ab24ec0829a"}