{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:FKKXVVMMF4WAHZEAKCAXR2MKIT","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":"94638eff37f93d21913814577a5b712a3a7ffcea0cac6d3d754b62cfd787bb3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2018-12-19T22:09:42Z","title_canon_sha256":"4b815e1b3bdc1dc3335c38b9f9a19412972d78762269c57b339fa63c0560e0cb"},"schema_version":"1.0","source":{"id":"1812.08269","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.08269","created_at":"2026-05-17T23:57:51Z"},{"alias_kind":"arxiv_version","alias_value":"1812.08269v1","created_at":"2026-05-17T23:57:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.08269","created_at":"2026-05-17T23:57:51Z"},{"alias_kind":"pith_short_12","alias_value":"FKKXVVMMF4WA","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"FKKXVVMMF4WAHZEA","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"FKKXVVMM","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:dfb2233c9f9a28fbd77a7833ba8a5ff150e5a9f5f55433d2f37f719bbb353190","target":"graph","created_at":"2026-05-17T23:57:51Z","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"},"paper":{"abstract_excerpt":"A classical problem in grammatical inference is to identify a language from a set of examples. In this paper, we address the problem of identifying a union of languages from examples that belong to several different unknown languages. Indeed, decomposing a language into smaller pieces that are easier to represent should make learning easier than aiming for a too generalized language. In particular, we consider k-testable languages in the strict sense (k-TSS). These are defined by a set of allowed prefixes, infixes (sub-strings) and suffixes that words in the language may contain. We establish ","authors_text":"Alexis Linard, Colin de la Higuera, Frits Vaandrager","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2018-12-19T22:09:42Z","title":"Learning Unions of k-Testable Languages"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.08269","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":"sha256:938766de14ee593ac83f538313b05fc248690cdb8eb63d4f4da55df49b8d5d10","target":"record","created_at":"2026-05-17T23:57:51Z","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":"94638eff37f93d21913814577a5b712a3a7ffcea0cac6d3d754b62cfd787bb3b","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.FL","submitted_at":"2018-12-19T22:09:42Z","title_canon_sha256":"4b815e1b3bdc1dc3335c38b9f9a19412972d78762269c57b339fa63c0560e0cb"},"schema_version":"1.0","source":{"id":"1812.08269","kind":"arxiv","version":1}},"canonical_sha256":"2a957ad58c2f2c03e480508178e98a44e4fefe47910260e75de63195be4d39ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2a957ad58c2f2c03e480508178e98a44e4fefe47910260e75de63195be4d39ee","first_computed_at":"2026-05-17T23:57:51.771357Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:57:51.771357Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iHm9NW/WPpGqShexeZs+zqtp2Z2F4yTiEWvP8QujfiLQQM7m9D480xGGo61HPkvabDZ0ESr+bYF4fUcvfY1iBA==","signature_status":"signed_v1","signed_at":"2026-05-17T23:57:51.771948Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.08269","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:938766de14ee593ac83f538313b05fc248690cdb8eb63d4f4da55df49b8d5d10","sha256:dfb2233c9f9a28fbd77a7833ba8a5ff150e5a9f5f55433d2f37f719bbb353190"],"state_sha256":"83c890b2788fe2e53919edc8f3ec452070caa54569645a36c0420a89241edbb6"}