{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:CJGUG6R6XQSVNLQJCORBWCIRZY","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":"7260f26e49896e75607572db0df41336638e6272814f9d87f5fc5f4cc0c45c28","cross_cats_sorted":["cs.CC","cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-07-07T11:32:56Z","title_canon_sha256":"1d0fa6391f4c812e5547456d668cab591c125d1d46da03dd64aa0fc429aa959b"},"schema_version":"1.0","source":{"id":"2607.06155","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.06155","created_at":"2026-07-08T01:18:58Z"},{"alias_kind":"arxiv_version","alias_value":"2607.06155v1","created_at":"2026-07-08T01:18:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.06155","created_at":"2026-07-08T01:18:58Z"},{"alias_kind":"pith_short_12","alias_value":"CJGUG6R6XQSV","created_at":"2026-07-08T01:18:58Z"},{"alias_kind":"pith_short_16","alias_value":"CJGUG6R6XQSVNLQJ","created_at":"2026-07-08T01:18:58Z"},{"alias_kind":"pith_short_8","alias_value":"CJGUG6R6","created_at":"2026-07-08T01:18:58Z"}],"graph_snapshots":[{"event_id":"sha256:8a285fa1f11296f555f154e21f9787a45695d8a49abf34e284b9aeb3e5f6c488","target":"graph","created_at":"2026-07-08T01:18:58Z","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/2607.06155/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Modern sequence models are increasingly deployed as agents that interleave token generation with calls to external tools. We give an exact, architecture-level account of when such tool access increases computational expressivity. We model any fixed finite-precision recurrent sequence model, including finite-precision state-space models (SSMs) with $B$ bits of internal state, as a deterministic finite-state controller interacting with an oracle through a finite command/observation interface. Our results form a sharp dichotomy. First, tools that are themselves finite-state add essentially nothin","authors_text":"Davide Scaramuzza, Nikola Zubi\\'c, Qian Li, Yuyi Wang","cross_cats":["cs.CC","cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-07-07T11:32:56Z","title":"When Does Tool Use Increase the Expressive Power of Finite-Precision Recurrent Models?"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.06155","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":"sha256:45dcc8662da6b407d698d3dde95e4cb1789790ad5010bdb20179b8e4ab6fe01b","target":"record","created_at":"2026-07-08T01:18:58Z","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":"7260f26e49896e75607572db0df41336638e6272814f9d87f5fc5f4cc0c45c28","cross_cats_sorted":["cs.CC","cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.FL","submitted_at":"2026-07-07T11:32:56Z","title_canon_sha256":"1d0fa6391f4c812e5547456d668cab591c125d1d46da03dd64aa0fc429aa959b"},"schema_version":"1.0","source":{"id":"2607.06155","kind":"arxiv","version":1}},"canonical_sha256":"124d437a3ebc2556ae0913a21b0911ce1c772da72400a0ecc118e6bebcc92b21","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"124d437a3ebc2556ae0913a21b0911ce1c772da72400a0ecc118e6bebcc92b21","first_computed_at":"2026-07-08T01:18:58.673446Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-08T01:18:58.673446Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4z4t8YMIM5wmwAjbRVz5pv76qsnFhDg1wRHw2HKnzdbR/kcMfLm4k/z/dRzhty3qRXEuaI2BcC+XSa+xfbJpBg==","signature_status":"signed_v1","signed_at":"2026-07-08T01:18:58.673877Z","signed_message":"canonical_sha256_bytes"},"source_id":"2607.06155","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45dcc8662da6b407d698d3dde95e4cb1789790ad5010bdb20179b8e4ab6fe01b","sha256:8a285fa1f11296f555f154e21f9787a45695d8a49abf34e284b9aeb3e5f6c488"],"state_sha256":"99aae7d32e6fdce30ad1e556505359730fbf11b6c4b60e5fa7237842aa3bc025"}