{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:C2BNPIZ2ROKNI5SXMBAAWX4Z3J","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":"13e97455fd1082f9d3d6337f35f791c30236913ed77ce1cabb3346a9cc9789f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2026-06-30T12:40:52Z","title_canon_sha256":"ff8a7f7bec64e7dcbd535533b74d5d894d70abc32999806f941ca4e33ece1601"},"schema_version":"1.0","source":{"id":"2606.31588","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.31588","created_at":"2026-07-01T01:18:08Z"},{"alias_kind":"arxiv_version","alias_value":"2606.31588v1","created_at":"2026-07-01T01:18:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.31588","created_at":"2026-07-01T01:18:08Z"},{"alias_kind":"pith_short_12","alias_value":"C2BNPIZ2ROKN","created_at":"2026-07-01T01:18:08Z"},{"alias_kind":"pith_short_16","alias_value":"C2BNPIZ2ROKNI5SX","created_at":"2026-07-01T01:18:08Z"},{"alias_kind":"pith_short_8","alias_value":"C2BNPIZ2","created_at":"2026-07-01T01:18:08Z"}],"graph_snapshots":[{"event_id":"sha256:300c39f1f874acdcedb114e217c1529af6e81f7ea63d3bf97d77dbf41d143cfd","target":"graph","created_at":"2026-07-01T01:18:08Z","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/2606.31588/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Physical neural networks (PNNs) harness the intrinsic complexity of physical systems to perform neural computation, potentially at speeds and energy efficiencies inaccessible to conventional digital hardware. Yet, a principled framework for quantifying and predicting their computing accuracy across diverse substrates has remained elusive. Here we introduce the Hotelling Trace Criterion (HTC), a task-conditioned measure of PNN- state separability that can be evaluated without training. We demonstrate that it predicts PNN classification performance with high fidelity across highly nonlinear opti","authors_text":"Anas Skalli, Andrei V. Ermolaev, Daniel Brunner, Go\\\"ery Genty, James A. Lott, John M. Dudley, Marcin Gebski, Mathilde Hary, Stephan Reitzenstein, Tomasz Czyszanowski","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2026-06-30T12:40:52Z","title":"Power law scaling for classification accuracy in physical neural networks"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.31588","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:cc007ca84555ea795dab7d932879c5b73ed3635adafed72d143cad7c6cd6d9ff","target":"record","created_at":"2026-07-01T01:18:08Z","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":"13e97455fd1082f9d3d6337f35f791c30236913ed77ce1cabb3346a9cc9789f9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.ET","submitted_at":"2026-06-30T12:40:52Z","title_canon_sha256":"ff8a7f7bec64e7dcbd535533b74d5d894d70abc32999806f941ca4e33ece1601"},"schema_version":"1.0","source":{"id":"2606.31588","kind":"arxiv","version":1}},"canonical_sha256":"1682d7a33a8b94d4765760400b5f99da57357a06f03706133d652fd2781b3eac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1682d7a33a8b94d4765760400b5f99da57357a06f03706133d652fd2781b3eac","first_computed_at":"2026-07-01T01:18:08.474232Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-01T01:18:08.474232Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JJ0li8hpiKCcPE9bpchAVOqsbtCtksncZnLPq78rwLVQdYlxp8VzFyVjWK7EJ5LBoYWXEE16ZzEdEsENjRigDA==","signature_status":"signed_v1","signed_at":"2026-07-01T01:18:08.474646Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.31588","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cc007ca84555ea795dab7d932879c5b73ed3635adafed72d143cad7c6cd6d9ff","sha256:300c39f1f874acdcedb114e217c1529af6e81f7ea63d3bf97d77dbf41d143cfd"],"state_sha256":"d27133cc5a41b43d16d5905e2153bd50c73bbc6312476656cd65b4d375420bd7"}