{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:VWPP6L7NKA7FHVUHQJQMHUEEVJ","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":"8e71f36a6cc0e3b3a9eba79ef66966cf082f40ae2418ebf225f0ea27068b59ca","cross_cats_sorted":["cond-mat.dis-nn","cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-10-30T17:59:09Z","title_canon_sha256":"3e9b9e020c969c29fb73ff23adaba9cdaa6f091126a5e08bf397a20e8b8c3ac5"},"schema_version":"1.0","source":{"id":"2510.26792","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2510.26792","created_at":"2026-07-17T00:20:41Z"},{"alias_kind":"arxiv_version","alias_value":"2510.26792v2","created_at":"2026-07-17T00:20:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2510.26792","created_at":"2026-07-17T00:20:41Z"},{"alias_kind":"pith_short_12","alias_value":"VWPP6L7NKA7F","created_at":"2026-07-17T00:20:41Z"},{"alias_kind":"pith_short_16","alias_value":"VWPP6L7NKA7FHVUH","created_at":"2026-07-17T00:20:41Z"},{"alias_kind":"pith_short_8","alias_value":"VWPP6L7N","created_at":"2026-07-17T00:20:41Z"}],"graph_snapshots":[{"event_id":"sha256:ede9532051e173ddcbd0b537b415a4bafb4837896ea615136f08cdefa5471fb7","target":"graph","created_at":"2026-07-17T00:20:41Z","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/2510.26792/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the ability of Transformer models to learn sequences generated by Permuted Congruential Generators (PCGs), a widely used family of pseudo-random number generators (PRNGs). PCGs introduce substantial additional difficulty over linear congruential generators (LCGs) by applying a series of bit-wise shifts, XORs, rotations and truncations to the hidden state. We show that Transformers can nevertheless successfully perform in-context prediction on unseen sequences from diverse PCG variants, in tasks that are beyond published classical attacks. In our experiments we scale moduli up to $2^{2","authors_text":"Maissam Barkeshli, Tao Tao","cross_cats":["cond-mat.dis-nn","cs.CR"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-10-30T17:59:09Z","title":"Learning Pseudorandom Numbers with Transformers: Permuted Congruential Generators, Curricula, and Interpretability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2510.26792","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":"sha256:08ea425ad484884056fe686321d8abf5bb7c3a844b1e3ca28ae8ac5bcbac1269","target":"record","created_at":"2026-07-17T00:20:41Z","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":"8e71f36a6cc0e3b3a9eba79ef66966cf082f40ae2418ebf225f0ea27068b59ca","cross_cats_sorted":["cond-mat.dis-nn","cs.CR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LG","submitted_at":"2025-10-30T17:59:09Z","title_canon_sha256":"3e9b9e020c969c29fb73ff23adaba9cdaa6f091126a5e08bf397a20e8b8c3ac5"},"schema_version":"1.0","source":{"id":"2510.26792","kind":"arxiv","version":2}},"canonical_sha256":"ad9eff2fed503e53d6878260c3d084aa6e9f5f3ca455e75f383e9922941e2e30","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad9eff2fed503e53d6878260c3d084aa6e9f5f3ca455e75f383e9922941e2e30","first_computed_at":"2026-07-17T00:20:41.608980Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-17T00:20:41.608980Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IkuiI9v/W5K+8fOiXVDiyb+3d8Ecdt9ZDohMMTKsTmNUFsKx31RLVgrgSlnc+nxjE5g3xrEEjBxM+sc0FVpjDg==","signature_status":"signed_v1","signed_at":"2026-07-17T00:20:41.609900Z","signed_message":"canonical_sha256_bytes"},"source_id":"2510.26792","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08ea425ad484884056fe686321d8abf5bb7c3a844b1e3ca28ae8ac5bcbac1269","sha256:ede9532051e173ddcbd0b537b415a4bafb4837896ea615136f08cdefa5471fb7"],"state_sha256":"f7bbd9e7aa21f44880c518e2180a83e30ead5066f1a74e766072f49108253910"}