{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2023:EOLSLWOTTAV4URSHJUQT33NBLG","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":"b30005ca68bd975381d7e807d9fd3d52c10bca39bd3f6c938f8ea8ddcd416c7e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-08-22T13:02:09Z","title_canon_sha256":"4efcd866212deae127050ebbad02d8ddc701d9a2c211fa5a7b676e9bbab96b91"},"schema_version":"1.0","source":{"id":"2308.11416","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2308.11416","created_at":"2026-07-05T06:43:34Z"},{"alias_kind":"arxiv_version","alias_value":"2308.11416v1","created_at":"2026-07-05T06:43:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2308.11416","created_at":"2026-07-05T06:43:34Z"},{"alias_kind":"pith_short_12","alias_value":"EOLSLWOTTAV4","created_at":"2026-07-05T06:43:34Z"},{"alias_kind":"pith_short_16","alias_value":"EOLSLWOTTAV4URSH","created_at":"2026-07-05T06:43:34Z"},{"alias_kind":"pith_short_8","alias_value":"EOLSLWOT","created_at":"2026-07-05T06:43:34Z"}],"graph_snapshots":[{"event_id":"sha256:9e6c5ce784eba8d162abbe27fde49fbdd89f3edf81eea294e1bfd341431a3e49","target":"graph","created_at":"2026-07-05T06:43:34Z","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/2308.11416/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Recently, Brand, Ganian and Simonov introduced a parameterized refinement of the classical PAC-learning sample complexity framework. A crucial outcome of their investigation is that for a very wide range of learning problems, there is a direct and provable correspondence between fixed-parameter PAC-learnability (in the sample complexity setting) and the fixed-parameter tractability of a corresponding \"consistency checking\" search problem (in the setting of computational complexity). The latter can be seen as generalizations of classical search problems where instead of receiving a single insta","authors_text":"Kirill Simonov, Liana Khazaliya, Robert Ganian","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-08-22T13:02:09Z","title":"Consistency-Checking Problems: A Gateway to Parameterized Sample Complexity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2308.11416","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:eccce8c00a5d387c551a6894e848f426d13694bc3b0515ca2d9db5f70c808994","target":"record","created_at":"2026-07-05T06:43:34Z","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":"b30005ca68bd975381d7e807d9fd3d52c10bca39bd3f6c938f8ea8ddcd416c7e","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.DS","submitted_at":"2023-08-22T13:02:09Z","title_canon_sha256":"4efcd866212deae127050ebbad02d8ddc701d9a2c211fa5a7b676e9bbab96b91"},"schema_version":"1.0","source":{"id":"2308.11416","kind":"arxiv","version":1}},"canonical_sha256":"239725d9d3982bca46474d213deda159ae3cb14e78f332a0149fae412d80161a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"239725d9d3982bca46474d213deda159ae3cb14e78f332a0149fae412d80161a","first_computed_at":"2026-07-05T06:43:34.063628Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:43:34.063628Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pGhNbRgOiIbhUiY7Zh/pN/dYWEw9uu7eRya61R5LEehSbi7UEll+z6y11tIOnifGll+ijjDFgefspw7QA4YMDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:43:34.064162Z","signed_message":"canonical_sha256_bytes"},"source_id":"2308.11416","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eccce8c00a5d387c551a6894e848f426d13694bc3b0515ca2d9db5f70c808994","sha256:9e6c5ce784eba8d162abbe27fde49fbdd89f3edf81eea294e1bfd341431a3e49"],"state_sha256":"78a91eb605884d47916b0af1359b57762b0cd2a69bc368f361cc199fc5f6a035"}