{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:L7Y75UBNFI4ESJENZYF3VU5NWE","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":"3a8409592bf6cc42c583eb20f65cc70d74fe7359f4cc5718d0d3b35d751105ca","cross_cats_sorted":["cs.AI","cs.CL","cs.DS","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-24T16:24:43Z","title_canon_sha256":"d0c0dd35c3ec23bda84de1e3518708f28a8e1aaa2f59f974ac9b32fc27e4654e"},"schema_version":"1.0","source":{"id":"2412.18530","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2412.18530","created_at":"2026-07-05T11:31:26Z"},{"alias_kind":"arxiv_version","alias_value":"2412.18530v2","created_at":"2026-07-05T11:31:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2412.18530","created_at":"2026-07-05T11:31:26Z"},{"alias_kind":"pith_short_12","alias_value":"L7Y75UBNFI4E","created_at":"2026-07-05T11:31:26Z"},{"alias_kind":"pith_short_16","alias_value":"L7Y75UBNFI4ESJEN","created_at":"2026-07-05T11:31:26Z"},{"alias_kind":"pith_short_8","alias_value":"L7Y75UBN","created_at":"2026-07-05T11:31:26Z"}],"graph_snapshots":[{"event_id":"sha256:ccf3001c4c70a262b078ab8c783480d52f60cc2315567bf0df063e6a68ea500d","target":"graph","created_at":"2026-07-05T11:31:26Z","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/2412.18530/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study language generation in the limit - introduced by Kleinberg and Mullainathan [KM24] - building on classical works of Gold [Gol67] and Angluin [Ang79]. [KM24]'s main result is an algorithm for generating from any countable language collection in the limit. While their algorithm eventually generates unseen strings from the target language $K$, it sacrifices coverage or breadth, i.e., its ability to generate a rich set of strings. Recent work introduces different notions of breadth and explores when generation with breadth is possible, leaving a full characterization of these notions open","authors_text":"Alkis Kalavasis, Anay Mehrotra, Grigoris Velegkas","cross_cats":["cs.AI","cs.CL","cs.DS","stat.ML"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-24T16:24:43Z","title":"On Characterizations for Language Generation: Interplay of Hallucinations, Breadth, and Stability"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2412.18530","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":"sha256:5fbc8bfa48ba9ad4826c7d93d29b50b4db6438db29a891203fdb00a8d9b39919","target":"record","created_at":"2026-07-05T11:31:26Z","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":"3a8409592bf6cc42c583eb20f65cc70d74fe7359f4cc5718d0d3b35d751105ca","cross_cats_sorted":["cs.AI","cs.CL","cs.DS","stat.ML"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-24T16:24:43Z","title_canon_sha256":"d0c0dd35c3ec23bda84de1e3518708f28a8e1aaa2f59f974ac9b32fc27e4654e"},"schema_version":"1.0","source":{"id":"2412.18530","kind":"arxiv","version":2}},"canonical_sha256":"5ff1fed02d2a3849248dce0bbad3adb113fbfe567c14d2a989815a785f39118f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ff1fed02d2a3849248dce0bbad3adb113fbfe567c14d2a989815a785f39118f","first_computed_at":"2026-07-05T11:31:26.179785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:31:26.179785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BS6suYy0MuuwMjabVUc4gZPE2iEgU6nVLkecxyEWqW0JdacWLj5/Dl14UMrMCKCMUBg8CNPOBMuhIh5+ss9FAw==","signature_status":"signed_v1","signed_at":"2026-07-05T11:31:26.180156Z","signed_message":"canonical_sha256_bytes"},"source_id":"2412.18530","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fbc8bfa48ba9ad4826c7d93d29b50b4db6438db29a891203fdb00a8d9b39919","sha256:ccf3001c4c70a262b078ab8c783480d52f60cc2315567bf0df063e6a68ea500d"],"state_sha256":"fc2303fc65375dbcf5067979dc7a9ba87c88291e87c730b06dea5850fc9adc7a"}