{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LAU5KK2UNCPCYXPKDVKTP7E4W4","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":"ac96ff3536d4250f5d42144836be1b3d1cfffd6b0f8f7af1e4576cff7329d332","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-08-12T10:57:06Z","title_canon_sha256":"116d7fb1132f6a68c182c0da2caa4feeea6f1f479bd6ac2dcb77d9bc9cc4df65"},"schema_version":"1.0","source":{"id":"2608.12426","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2608.12426","created_at":"2026-08-14T00:42:58Z"},{"alias_kind":"arxiv_version","alias_value":"2608.12426v1","created_at":"2026-08-14T00:42:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2608.12426","created_at":"2026-08-14T00:42:58Z"},{"alias_kind":"pith_short_12","alias_value":"LAU5KK2UNCPC","created_at":"2026-08-14T00:42:58Z"},{"alias_kind":"pith_short_16","alias_value":"LAU5KK2UNCPCYXPK","created_at":"2026-08-14T00:42:58Z"},{"alias_kind":"pith_short_8","alias_value":"LAU5KK2U","created_at":"2026-08-14T00:42:58Z"}],"graph_snapshots":[{"event_id":"sha256:c030de85c83a9197b70009fa08bf73b1d5d176d83135ae9a4b8dac493392d8a1","target":"graph","created_at":"2026-08-14T00:42:58Z","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/2608.12426/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Large language models are increasingly deployed in settings that require simultaneous adherence to multiple explicit constraints - reasoning structure, safety boundaries, output schemas. Individual constraints are handled proficiently, but the compositional regime, where many must hold jointly, remains poorly characterized: how rapidly does performance degrade, what governs the degradation, and can the collapse be mitigated? We introduce Constraint Saturation Evaluation (CSE), a procedurally generated benchmark that systematically varies the number of simultaneous constraints (k), with every c","authors_text":"Mariya I. Vasileva","cross_cats":["cs.CL"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-08-12T10:57:06Z","title":"Large Language Models Can Follow Instructions, But Not Many at Once: Phase Transitions in Compositional Constraint Satisfaction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2608.12426","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":"sha256:0f8c36de492019b39e6cdf6d27a884320f038809450ba64dc6b9dc6ed540c7b8","target":"record","created_at":"2026-08-14T00:42:58Z","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":"ac96ff3536d4250f5d42144836be1b3d1cfffd6b0f8f7af1e4576cff7329d332","cross_cats_sorted":["cs.CL"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.AI","submitted_at":"2026-08-12T10:57:06Z","title_canon_sha256":"116d7fb1132f6a68c182c0da2caa4feeea6f1f479bd6ac2dcb77d9bc9cc4df65"},"schema_version":"1.0","source":{"id":"2608.12426","kind":"arxiv","version":1}},"canonical_sha256":"5829d52b54689e2c5dea1d5537fc9cb70916f7f1b77620cbe2106b903c265efa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5829d52b54689e2c5dea1d5537fc9cb70916f7f1b77620cbe2106b903c265efa","first_computed_at":"2026-08-14T00:42:58.199093Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-08-14T00:42:58.199093Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EnBby+QX11dK0LPz9Xr81nW6n1HeAGvWNML37OXZBEcRIVNYleHcULSO63KGQ5AT4bMcoYWYTHGYfx6Sxym/Dg==","signature_status":"signed_v1","signed_at":"2026-08-14T00:42:58.207347Z","signed_message":"canonical_sha256_bytes"},"source_id":"2608.12426","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f8c36de492019b39e6cdf6d27a884320f038809450ba64dc6b9dc6ed540c7b8","sha256:c030de85c83a9197b70009fa08bf73b1d5d176d83135ae9a4b8dac493392d8a1"],"state_sha256":"2cfd4673f8424f85a681b715b2822a76faa33a8ab08890baf5393aefc97b501b"}