{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:AQDHT2KV2DHCGNRARNW6WOTFMM","short_pith_number":"pith:AQDHT2KV","canonical_record":{"source":{"id":"0808.3884","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2008-08-28T11:14:41Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"b47b643a884d88c3675f82067787b3235552245ae6c7285ddbc7cf04b3145c80","abstract_canon_sha256":"cd427476e5cacacc208ae280bb97e863ba65560a05eb29616754c83d73be99bb"},"schema_version":"1.0"},"canonical_sha256":"040679e955d0ce2336208b6deb3a65632bc1493eb73e54391d1daa8287c44709","source":{"kind":"arxiv","id":"0808.3884","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.3884","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"0808.3884v4","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.3884","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"AQDHT2KV2DHC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"AQDHT2KV2DHCGNRA","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"AQDHT2KV","created_at":"2026-05-18T12:25:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:AQDHT2KV2DHCGNRARNW6WOTFMM","target":"record","payload":{"canonical_record":{"source":{"id":"0808.3884","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2008-08-28T11:14:41Z","cross_cats_sorted":["cs.LO"],"title_canon_sha256":"b47b643a884d88c3675f82067787b3235552245ae6c7285ddbc7cf04b3145c80","abstract_canon_sha256":"cd427476e5cacacc208ae280bb97e863ba65560a05eb29616754c83d73be99bb"},"schema_version":"1.0"},"canonical_sha256":"040679e955d0ce2336208b6deb3a65632bc1493eb73e54391d1daa8287c44709","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:42:02.082967Z","signature_b64":"DVWLxWD04T/h4px4uc20WkHkMe54VCDC7FmW+IApC5Z/SqVa3ETDdBVOinxBCZvula8Qsl879NA/ep8ApkIKAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"040679e955d0ce2336208b6deb3a65632bc1493eb73e54391d1daa8287c44709","last_reissued_at":"2026-05-18T04:42:02.082497Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:42:02.082497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0808.3884","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZF/+NHr3Y1UKg8pzaXDm8urG7qm8g19qYFaSnLEZ1+PvL+124ZroCYo54RywT4ldlc4jjvPf4lhS4+MzmCoGAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:49:10.520028Z"},"content_sha256":"7e01dfeb7b63da328831a5d7885b4b95195f51775108ea1ddd79f2dfa300dac8","schema_version":"1.0","event_id":"sha256:7e01dfeb7b63da328831a5d7885b4b95195f51775108ea1ddd79f2dfa300dac8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:AQDHT2KV2DHCGNRARNW6WOTFMM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Complexity of Reasoning for Fragments of Default Logic","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.LO"],"primary_cat":"cs.CC","authors_text":"Arne Meier, Heribert Vollmer, Michael Thomas, Olaf Beyersdorff","submitted_at":"2008-08-28T11:14:41Z","abstract_excerpt":"Default logic was introduced by Reiter in 1980. In 1992, Gottlob classified the complexity of the extension existence problem for propositional default logic as $\\SigmaPtwo$-complete, and the complexity of the credulous and skeptical reasoning problem as SigmaP2-complete, resp. PiP2-complete. Additionally, he investigated restrictions on the default rules, i.e., semi-normal default rules. Selman made in 1992 a similar approach with disjunction-free and unary default rules. In this paper we systematically restrict the set of allowed propositional connectives. We give a complete complexity class"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.3884","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:42:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"F5tgtVdfpALrFAs8T+gBPArzNI6rMnC6qQyQh86wOrq+2H3lMszVl1tuOXvbkKBPsvC4BKHhySayUs5Vk4ZQAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:49:10.520755Z"},"content_sha256":"8d310f8971982ba1c8439e7ba581907a9692f11bfd705daa9fcf784f61f4e59e","schema_version":"1.0","event_id":"sha256:8d310f8971982ba1c8439e7ba581907a9692f11bfd705daa9fcf784f61f4e59e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AQDHT2KV2DHCGNRARNW6WOTFMM/bundle.json","state_url":"https://pith.science/pith/AQDHT2KV2DHCGNRARNW6WOTFMM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AQDHT2KV2DHCGNRARNW6WOTFMM/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-10T06:49:10Z","links":{"resolver":"https://pith.science/pith/AQDHT2KV2DHCGNRARNW6WOTFMM","bundle":"https://pith.science/pith/AQDHT2KV2DHCGNRARNW6WOTFMM/bundle.json","state":"https://pith.science/pith/AQDHT2KV2DHCGNRARNW6WOTFMM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AQDHT2KV2DHCGNRARNW6WOTFMM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:AQDHT2KV2DHCGNRARNW6WOTFMM","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":"cd427476e5cacacc208ae280bb97e863ba65560a05eb29616754c83d73be99bb","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2008-08-28T11:14:41Z","title_canon_sha256":"b47b643a884d88c3675f82067787b3235552245ae6c7285ddbc7cf04b3145c80"},"schema_version":"1.0","source":{"id":"0808.3884","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0808.3884","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"arxiv_version","alias_value":"0808.3884v4","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0808.3884","created_at":"2026-05-18T04:42:02Z"},{"alias_kind":"pith_short_12","alias_value":"AQDHT2KV2DHC","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"AQDHT2KV2DHCGNRA","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"AQDHT2KV","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:8d310f8971982ba1c8439e7ba581907a9692f11bfd705daa9fcf784f61f4e59e","target":"graph","created_at":"2026-05-18T04:42:02Z","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":"Default logic was introduced by Reiter in 1980. In 1992, Gottlob classified the complexity of the extension existence problem for propositional default logic as $\\SigmaPtwo$-complete, and the complexity of the credulous and skeptical reasoning problem as SigmaP2-complete, resp. PiP2-complete. Additionally, he investigated restrictions on the default rules, i.e., semi-normal default rules. Selman made in 1992 a similar approach with disjunction-free and unary default rules. In this paper we systematically restrict the set of allowed propositional connectives. We give a complete complexity class","authors_text":"Arne Meier, Heribert Vollmer, Michael Thomas, Olaf Beyersdorff","cross_cats":["cs.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2008-08-28T11:14:41Z","title":"The Complexity of Reasoning for Fragments of Default Logic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0808.3884","kind":"arxiv","version":4},"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":"sha256:7e01dfeb7b63da328831a5d7885b4b95195f51775108ea1ddd79f2dfa300dac8","target":"record","created_at":"2026-05-18T04:42:02Z","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":"cd427476e5cacacc208ae280bb97e863ba65560a05eb29616754c83d73be99bb","cross_cats_sorted":["cs.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.CC","submitted_at":"2008-08-28T11:14:41Z","title_canon_sha256":"b47b643a884d88c3675f82067787b3235552245ae6c7285ddbc7cf04b3145c80"},"schema_version":"1.0","source":{"id":"0808.3884","kind":"arxiv","version":4}},"canonical_sha256":"040679e955d0ce2336208b6deb3a65632bc1493eb73e54391d1daa8287c44709","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"040679e955d0ce2336208b6deb3a65632bc1493eb73e54391d1daa8287c44709","first_computed_at":"2026-05-18T04:42:02.082497Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:42:02.082497Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DVWLxWD04T/h4px4uc20WkHkMe54VCDC7FmW+IApC5Z/SqVa3ETDdBVOinxBCZvula8Qsl879NA/ep8ApkIKAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:42:02.082967Z","signed_message":"canonical_sha256_bytes"},"source_id":"0808.3884","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7e01dfeb7b63da328831a5d7885b4b95195f51775108ea1ddd79f2dfa300dac8","sha256:8d310f8971982ba1c8439e7ba581907a9692f11bfd705daa9fcf784f61f4e59e"],"state_sha256":"7e23a04ad8f773507c23230d3f0be1ba600e778249afa2f803dbe2980358151d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fxh4E54hFMnK26NCXhBEGMAu+2DPI2Y0KJe3Fixsqk2dY7pK2B2uWMhT2Aja2obn3b2eKLuTRujj4eTEcoNACw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:49:10.524874Z","bundle_sha256":"4148b72641d523656c1cd300a6b622699da2588fa3b21cb5b19033acfa7e3c32"}}