{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:WZUPHCXVFYPD6HSBVYFMWDRE5H","short_pith_number":"pith:WZUPHCXV","canonical_record":{"source":{"id":"1802.03993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-02-12T11:49:42Z","cross_cats_sorted":["cs.SC"],"title_canon_sha256":"29c83a2afc18dcf6696e7d8e8ac4fcccf485a649074c1174b32e8e4d2ed86124","abstract_canon_sha256":"b8375cd13b9cb83f66e302aeaab48271c227562fe94a67738b60868a83c8ed17"},"schema_version":"1.0"},"canonical_sha256":"b668f38af52e1e3f1e41ae0acb0e24e9c586ca2418bdfcfdd81d5fb1a5a249b4","source":{"kind":"arxiv","id":"1802.03993","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03993","created_at":"2026-05-18T00:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03993v1","created_at":"2026-05-18T00:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03993","created_at":"2026-05-18T00:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"WZUPHCXVFYPD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WZUPHCXVFYPD6HSB","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WZUPHCXV","created_at":"2026-05-18T12:33:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:WZUPHCXVFYPD6HSBVYFMWDRE5H","target":"record","payload":{"canonical_record":{"source":{"id":"1802.03993","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-02-12T11:49:42Z","cross_cats_sorted":["cs.SC"],"title_canon_sha256":"29c83a2afc18dcf6696e7d8e8ac4fcccf485a649074c1174b32e8e4d2ed86124","abstract_canon_sha256":"b8375cd13b9cb83f66e302aeaab48271c227562fe94a67738b60868a83c8ed17"},"schema_version":"1.0"},"canonical_sha256":"b668f38af52e1e3f1e41ae0acb0e24e9c586ca2418bdfcfdd81d5fb1a5a249b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:23:49.781761Z","signature_b64":"59DdMrIORjYaZ4ghnRiGz4/l6z4Jy8b7+wW3BEs1re+RIdSfwO3DCQOjfmGv9vMUwTzjJlTTWjUOd6jD3IbCAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b668f38af52e1e3f1e41ae0acb0e24e9c586ca2418bdfcfdd81d5fb1a5a249b4","last_reissued_at":"2026-05-18T00:23:49.780692Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:23:49.780692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.03993","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:23:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D01wwl/aySL1HCt2jN7soW6y+tay6G364sSw92gY+7/mSU6/SWI5HafF854qiYKgMZXaET6g7i+Biz1v5fZGDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:50:42.818300Z"},"content_sha256":"d26ff969e044e4430c075f4d41d40ed649fea5568ba5c5664ccaa797e20c6801","schema_version":"1.0","event_id":"sha256:d26ff969e044e4430c075f4d41d40ed649fea5568ba5c5664ccaa797e20c6801"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:WZUPHCXVFYPD6HSBVYFMWDRE5H","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetries of Quantified Boolean Formulas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.SC"],"primary_cat":"cs.LO","authors_text":"Manuel Kauers, Martina Seidl","submitted_at":"2018-02-12T11:49:42Z","abstract_excerpt":"While symmetries are well understood for Boolean formulas and successfully exploited in practical SAT solving, less is known about symmetries in quantified Boolean formulas (QBF). There are some works introducing adaptions of propositional symmetry breaking techniques, with a theory covering only very specific parts of QBF symmetries. We present a general framework that gives a concise characterization of symmetries of QBF. Our framework naturally incorporates the duality of universal and existential symmetries resulting in a general basis for QBF symmetry breaking."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03993","kind":"arxiv","version":1},"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":"2026-05-18T00:23:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qpqKIPRCoXEsVKw9aHqEvT+d4NfizE0HU+jrGtQoUugzmp6c4SHmY68trt17wl74N+O4rw4WZkYYmv6493csBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T18:50:42.818680Z"},"content_sha256":"db007f80195b1597a27ec519af137c6b5f6dad77e3b53ab1f79f512fb1448a1b","schema_version":"1.0","event_id":"sha256:db007f80195b1597a27ec519af137c6b5f6dad77e3b53ab1f79f512fb1448a1b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H/bundle.json","state_url":"https://pith.science/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H/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":"2026-06-05T18:50:42Z","links":{"resolver":"https://pith.science/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H","bundle":"https://pith.science/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H/bundle.json","state":"https://pith.science/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZUPHCXVFYPD6HSBVYFMWDRE5H/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:WZUPHCXVFYPD6HSBVYFMWDRE5H","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":"b8375cd13b9cb83f66e302aeaab48271c227562fe94a67738b60868a83c8ed17","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-02-12T11:49:42Z","title_canon_sha256":"29c83a2afc18dcf6696e7d8e8ac4fcccf485a649074c1174b32e8e4d2ed86124"},"schema_version":"1.0","source":{"id":"1802.03993","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.03993","created_at":"2026-05-18T00:23:49Z"},{"alias_kind":"arxiv_version","alias_value":"1802.03993v1","created_at":"2026-05-18T00:23:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.03993","created_at":"2026-05-18T00:23:49Z"},{"alias_kind":"pith_short_12","alias_value":"WZUPHCXVFYPD","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_16","alias_value":"WZUPHCXVFYPD6HSB","created_at":"2026-05-18T12:33:01Z"},{"alias_kind":"pith_short_8","alias_value":"WZUPHCXV","created_at":"2026-05-18T12:33:01Z"}],"graph_snapshots":[{"event_id":"sha256:db007f80195b1597a27ec519af137c6b5f6dad77e3b53ab1f79f512fb1448a1b","target":"graph","created_at":"2026-05-18T00:23:49Z","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":"While symmetries are well understood for Boolean formulas and successfully exploited in practical SAT solving, less is known about symmetries in quantified Boolean formulas (QBF). There are some works introducing adaptions of propositional symmetry breaking techniques, with a theory covering only very specific parts of QBF symmetries. We present a general framework that gives a concise characterization of symmetries of QBF. Our framework naturally incorporates the duality of universal and existential symmetries resulting in a general basis for QBF symmetry breaking.","authors_text":"Manuel Kauers, Martina Seidl","cross_cats":["cs.SC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-02-12T11:49:42Z","title":"Symmetries of Quantified Boolean Formulas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.03993","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:d26ff969e044e4430c075f4d41d40ed649fea5568ba5c5664ccaa797e20c6801","target":"record","created_at":"2026-05-18T00:23:49Z","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":"b8375cd13b9cb83f66e302aeaab48271c227562fe94a67738b60868a83c8ed17","cross_cats_sorted":["cs.SC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2018-02-12T11:49:42Z","title_canon_sha256":"29c83a2afc18dcf6696e7d8e8ac4fcccf485a649074c1174b32e8e4d2ed86124"},"schema_version":"1.0","source":{"id":"1802.03993","kind":"arxiv","version":1}},"canonical_sha256":"b668f38af52e1e3f1e41ae0acb0e24e9c586ca2418bdfcfdd81d5fb1a5a249b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b668f38af52e1e3f1e41ae0acb0e24e9c586ca2418bdfcfdd81d5fb1a5a249b4","first_computed_at":"2026-05-18T00:23:49.780692Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:23:49.780692Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"59DdMrIORjYaZ4ghnRiGz4/l6z4Jy8b7+wW3BEs1re+RIdSfwO3DCQOjfmGv9vMUwTzjJlTTWjUOd6jD3IbCAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:23:49.781761Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.03993","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d26ff969e044e4430c075f4d41d40ed649fea5568ba5c5664ccaa797e20c6801","sha256:db007f80195b1597a27ec519af137c6b5f6dad77e3b53ab1f79f512fb1448a1b"],"state_sha256":"6b817fe937efb5669a9168f993ae9311e126cda9648bdc09d4e4bcd6a974002f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j7hD4bbvuWzzNGdqvFqHFx0c79qDKQeXbqOY0HxHEQK18SgxPq74bi4FuV7/e7hByMrYNTzXEzmVFt7cO13AAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T18:50:42.821718Z","bundle_sha256":"7f5a49be0364de0e84b03a3047695ee8c821fd6faf2e601c0e0d55a0cc2b2091"}}