{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:GWLWKO3HPACTC67SAOUWGJYCPQ","short_pith_number":"pith:GWLWKO3H","canonical_record":{"source":{"id":"1201.5653","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-26T21:18:29Z","cross_cats_sorted":[],"title_canon_sha256":"ac8cfe564166290749d84688450cf30fa0d9ad7b77420d802d9e76979e070abc","abstract_canon_sha256":"11bc8894d41715807b340ff2060895c70784c686c2c8384cec1fbedc69ae9110"},"schema_version":"1.0"},"canonical_sha256":"3597653b677805317bf203a96327027c3b2f99c4180208963b5e0708d4ebc06b","source":{"kind":"arxiv","id":"1201.5653","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5653","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5653v4","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5653","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"GWLWKO3HPACT","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GWLWKO3HPACTC67S","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GWLWKO3H","created_at":"2026-05-18T12:27:06Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:GWLWKO3HPACTC67SAOUWGJYCPQ","target":"record","payload":{"canonical_record":{"source":{"id":"1201.5653","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-26T21:18:29Z","cross_cats_sorted":[],"title_canon_sha256":"ac8cfe564166290749d84688450cf30fa0d9ad7b77420d802d9e76979e070abc","abstract_canon_sha256":"11bc8894d41715807b340ff2060895c70784c686c2c8384cec1fbedc69ae9110"},"schema_version":"1.0"},"canonical_sha256":"3597653b677805317bf203a96327027c3b2f99c4180208963b5e0708d4ebc06b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:22:06.303104Z","signature_b64":"sU780gAxq+ckXnZZIEIkdqc08HnisSwYNXtI89yUzmBrdcoNQ+/8gmPXr+5baFX6O13oGvzTNeeaU6BZlcD0BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3597653b677805317bf203a96327027c3b2f99c4180208963b5e0708d4ebc06b","last_reissued_at":"2026-05-18T03:22:06.302655Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:22:06.302655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.5653","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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OcpwqdyPy0Fzj9LUyP0o5Fs2I8E+KRqgoGKWD5TRvc/KRB7n0WMC06uKz+5zM66JFe8Ev6I7L08h7Pi4hotzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T21:52:44.689955Z"},"content_sha256":"a0780a938c046d63d7c53efae864a0937b2789ab9f44ac568226aa0bf75281e3","schema_version":"1.0","event_id":"sha256:a0780a938c046d63d7c53efae864a0937b2789ab9f44ac568226aa0bf75281e3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:GWLWKO3HPACTC67SAOUWGJYCPQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantifier Elimination by Dependency Sequents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Eugene Goldberg, Panagiotis Manolios","submitted_at":"2012-01-26T21:18:29Z","abstract_excerpt":"We consider the problem of existential quantifier elimination for Boolean formulas in Conjunctive Normal Form (CNF). We present a new method for solving this problem called Derivation of Dependency-Sequents (DDS). A Dependency-sequent (D-sequent) is used to record that a set of quantified variables is redundant under a partial assignment. We introduce a resolution-like operation called join that produces a new D-sequent from two existing D-sequents. We also show that DDS is compositional, i.e. if our input formula is a conjunction of independent formulas, DDS automatically recognizes and explo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5653","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":"2026-05-18T03:22:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UN9zrq3CUOD8NlG9NvG7WDi+hsBo9SuwH+2zJryA++EEMlHu4dhzeEltV3xLKQFbRHZRPL3+iTwOvSz25dh0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T21:52:44.690297Z"},"content_sha256":"01d1fd110f95c95b8dfbc57b0a7ac3a383cfbeecec887f364a976342a9be0f4a","schema_version":"1.0","event_id":"sha256:01d1fd110f95c95b8dfbc57b0a7ac3a383cfbeecec887f364a976342a9be0f4a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GWLWKO3HPACTC67SAOUWGJYCPQ/bundle.json","state_url":"https://pith.science/pith/GWLWKO3HPACTC67SAOUWGJYCPQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GWLWKO3HPACTC67SAOUWGJYCPQ/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":"2026-06-28T21:52:44Z","links":{"resolver":"https://pith.science/pith/GWLWKO3HPACTC67SAOUWGJYCPQ","bundle":"https://pith.science/pith/GWLWKO3HPACTC67SAOUWGJYCPQ/bundle.json","state":"https://pith.science/pith/GWLWKO3HPACTC67SAOUWGJYCPQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GWLWKO3HPACTC67SAOUWGJYCPQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:GWLWKO3HPACTC67SAOUWGJYCPQ","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":"11bc8894d41715807b340ff2060895c70784c686c2c8384cec1fbedc69ae9110","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-26T21:18:29Z","title_canon_sha256":"ac8cfe564166290749d84688450cf30fa0d9ad7b77420d802d9e76979e070abc"},"schema_version":"1.0","source":{"id":"1201.5653","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.5653","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"arxiv_version","alias_value":"1201.5653v4","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.5653","created_at":"2026-05-18T03:22:06Z"},{"alias_kind":"pith_short_12","alias_value":"GWLWKO3HPACT","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_16","alias_value":"GWLWKO3HPACTC67S","created_at":"2026-05-18T12:27:06Z"},{"alias_kind":"pith_short_8","alias_value":"GWLWKO3H","created_at":"2026-05-18T12:27:06Z"}],"graph_snapshots":[{"event_id":"sha256:01d1fd110f95c95b8dfbc57b0a7ac3a383cfbeecec887f364a976342a9be0f4a","target":"graph","created_at":"2026-05-18T03:22:06Z","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 consider the problem of existential quantifier elimination for Boolean formulas in Conjunctive Normal Form (CNF). We present a new method for solving this problem called Derivation of Dependency-Sequents (DDS). A Dependency-sequent (D-sequent) is used to record that a set of quantified variables is redundant under a partial assignment. We introduce a resolution-like operation called join that produces a new D-sequent from two existing D-sequents. We also show that DDS is compositional, i.e. if our input formula is a conjunction of independent formulas, DDS automatically recognizes and explo","authors_text":"Eugene Goldberg, Panagiotis Manolios","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-26T21:18:29Z","title":"Quantifier Elimination by Dependency Sequents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.5653","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:a0780a938c046d63d7c53efae864a0937b2789ab9f44ac568226aa0bf75281e3","target":"record","created_at":"2026-05-18T03:22:06Z","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":"11bc8894d41715807b340ff2060895c70784c686c2c8384cec1fbedc69ae9110","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-01-26T21:18:29Z","title_canon_sha256":"ac8cfe564166290749d84688450cf30fa0d9ad7b77420d802d9e76979e070abc"},"schema_version":"1.0","source":{"id":"1201.5653","kind":"arxiv","version":4}},"canonical_sha256":"3597653b677805317bf203a96327027c3b2f99c4180208963b5e0708d4ebc06b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3597653b677805317bf203a96327027c3b2f99c4180208963b5e0708d4ebc06b","first_computed_at":"2026-05-18T03:22:06.302655Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:22:06.302655Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sU780gAxq+ckXnZZIEIkdqc08HnisSwYNXtI89yUzmBrdcoNQ+/8gmPXr+5baFX6O13oGvzTNeeaU6BZlcD0BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:22:06.303104Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.5653","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0780a938c046d63d7c53efae864a0937b2789ab9f44ac568226aa0bf75281e3","sha256:01d1fd110f95c95b8dfbc57b0a7ac3a383cfbeecec887f364a976342a9be0f4a"],"state_sha256":"12b0a221892c92d415d33e1309d58e2ca3f1dfcabf15d44afb10dd9e32eeaab4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SJgg6NhiJ0kFJ5L1bKKZDGukgdbkP95yYuhjOVyDy+uKOn3sN9QL27VKOMMl9ivMdloGDsSuiRSmVGmqJGtGDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T21:52:44.692178Z","bundle_sha256":"d6cf3db85a70f33668a9d90c228d036fb4d3c10787480ddb1064db873d39030b"}}