{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:U5HBXCDQ32EGTAXOQR6T2UXZQV","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":"10a6c0ed8bc050528e2e86272b862a58cdccb11131a6143bf4aa04b3a5ec7153","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-28T00:39:53Z","title_canon_sha256":"d2e7059c039445aec0964a4d0865dc650c268830d2df49df4cd43a557b86c78a"},"schema_version":"1.0","source":{"id":"2603.27063","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2603.27063","created_at":"2026-07-10T00:18:44Z"},{"alias_kind":"arxiv_version","alias_value":"2603.27063v2","created_at":"2026-07-10T00:18:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2603.27063","created_at":"2026-07-10T00:18:44Z"},{"alias_kind":"pith_short_12","alias_value":"U5HBXCDQ32EG","created_at":"2026-07-10T00:18:44Z"},{"alias_kind":"pith_short_16","alias_value":"U5HBXCDQ32EGTAXO","created_at":"2026-07-10T00:18:44Z"},{"alias_kind":"pith_short_8","alias_value":"U5HBXCDQ","created_at":"2026-07-10T00:18:44Z"}],"graph_snapshots":[{"event_id":"sha256:bb30819730ffc095c437ef8f86862519702a4eac9acf3334368334e092df7286","target":"graph","created_at":"2026-07-10T00:18:44Z","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/2603.27063/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new class of quantum neural networks (QNNs) whose states are solutions of $p$-adic Schr\\\"{o}dinger equations with a non-local potential that controls the interaction between the neurons. These equations are obtained as Wick rotations of the state equations of $p$-adic cellular neural networks (CNNs). The CNNs are continuous limits of discrete hierarchical neural networks (NNs). The CNNs are bio-inspired by the Wilson-Cowan model, which describes the macroscopic dynamics of large populations of neurons. We provide a detailed study of the discretization of the new $p$-adic Schr\\\"{o}","authors_text":"B. A. Zambrano-Luna, Chayapuntika Indoung, W. A. Z\\'u\\~niga-Galindo","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-28T00:39:53Z","title":"Pattern Formation in Quantum Hierarchical Cellular Neural Networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2603.27063","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":"sha256:195aa62d9ae6b35a3b44bdc6f0d7758b0910d1da85328a2615dad44adf4355a4","target":"record","created_at":"2026-07-10T00:18:44Z","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":"10a6c0ed8bc050528e2e86272b862a58cdccb11131a6143bf4aa04b3a5ec7153","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2026-03-28T00:39:53Z","title_canon_sha256":"d2e7059c039445aec0964a4d0865dc650c268830d2df49df4cd43a557b86c78a"},"schema_version":"1.0","source":{"id":"2603.27063","kind":"arxiv","version":2}},"canonical_sha256":"a74e1b8870de886982ee847d3d52f9855642f373c1a48155a06a3151ce39805e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a74e1b8870de886982ee847d3d52f9855642f373c1a48155a06a3151ce39805e","first_computed_at":"2026-07-10T00:18:44.420129Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-10T00:18:44.420129Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2SdMxdp1tZZn+f27eIqDCU0CyeXeqws1YVxd9sI5SMRLIzqmK6Z9Q0YwDWZ3IOcKUOD98trgGHYEnglqjq3rDw==","signature_status":"signed_v1","signed_at":"2026-07-10T00:18:44.420555Z","signed_message":"canonical_sha256_bytes"},"source_id":"2603.27063","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:195aa62d9ae6b35a3b44bdc6f0d7758b0910d1da85328a2615dad44adf4355a4","sha256:bb30819730ffc095c437ef8f86862519702a4eac9acf3334368334e092df7286"],"state_sha256":"cabd23e2d15d62975f69778472dbceeb321dd79d4f29b51e22509fd8f0e590c9"}