{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:DBTFSSB7FOZROIGG7TBSIAIH7E","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":"439bd139f65ec0bbf70698027a0c6cd5890d3dd965ade1a6b44d508e3d933b9b","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-01-02T14:59:11Z","title_canon_sha256":"e7fa91b6435c0d91d06b9153a32a69d3b96d170bc603c8d94d39e9081e5a7ed3"},"schema_version":"1.0","source":{"id":"1201.0478","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.0478","created_at":"2026-05-18T02:21:26Z"},{"alias_kind":"arxiv_version","alias_value":"1201.0478v1","created_at":"2026-05-18T02:21:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.0478","created_at":"2026-05-18T02:21:26Z"},{"alias_kind":"pith_short_12","alias_value":"DBTFSSB7FOZR","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_16","alias_value":"DBTFSSB7FOZROIGG","created_at":"2026-05-18T12:27:01Z"},{"alias_kind":"pith_short_8","alias_value":"DBTFSSB7","created_at":"2026-05-18T12:27:01Z"}],"graph_snapshots":[{"event_id":"sha256:fbd2042065d020f1f1e065b458039341d6b3305f4d7489d0af5e16128978e28a","target":"graph","created_at":"2026-05-18T02:21:26Z","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"},"paper":{"abstract_excerpt":"We study the complexity of reasoning in abstracts argumentation frameworks close to graph classes that allow for efficient reasoning methods, i.e.\\ to one of the classes of acyclic, noeven, biparite and symmetric AFs. In this work we show that certain reasoning problems on the second level of the polynomial hierarchy still maintain their full complexity when restricted to instances of fixed distance to one of the above graph classes.","authors_text":"Wolfgang Dvo\\v{r}\\'ak","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-01-02T14:59:11Z","title":"Technical Note: Exploring \\Sigma^P_2 / \\Pi^P_2-hardness for Argumentation Problems with fixed distance to tractable classes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.0478","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:dcd1e5cf7fc785b35c9e1f429aeecaa12081dee3dae21d0db94b4efa7af74eea","target":"record","created_at":"2026-05-18T02:21:26Z","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":"439bd139f65ec0bbf70698027a0c6cd5890d3dd965ade1a6b44d508e3d933b9b","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.AI","submitted_at":"2012-01-02T14:59:11Z","title_canon_sha256":"e7fa91b6435c0d91d06b9153a32a69d3b96d170bc603c8d94d39e9081e5a7ed3"},"schema_version":"1.0","source":{"id":"1201.0478","kind":"arxiv","version":1}},"canonical_sha256":"186659483f2bb31720c6fcc3240107f909b9860f205fe02e5231322750da0dc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"186659483f2bb31720c6fcc3240107f909b9860f205fe02e5231322750da0dc9","first_computed_at":"2026-05-18T02:21:26.785425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:26.785425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6iDqdSC/oD2SJmKE6kacBdJVBn4TeNS842QdB9HLTHv797oPnIV/35Jqu+WtNgv8rk4s/B4IsA29ab8iEVATDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:26.786208Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.0478","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcd1e5cf7fc785b35c9e1f429aeecaa12081dee3dae21d0db94b4efa7af74eea","sha256:fbd2042065d020f1f1e065b458039341d6b3305f4d7489d0af5e16128978e28a"],"state_sha256":"f388b917b092abda89b8155d8290da617e6219021f3b4563536f11a04aa61a31"}