{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:SSV3KQ3ZQZNBTPK3XVRJV7NVBS","short_pith_number":"pith:SSV3KQ3Z","canonical_record":{"source":{"id":"1207.5014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-07-20T18:28:53Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"68f95d139eddf26206fa3c1b82302045e9c269110c3b6be92a2fe69a86f441fc","abstract_canon_sha256":"9cda5af0a20db06d0be50b67fc506abdb268ff4c121fdfa1c68e99ee5a8f551f"},"schema_version":"1.0"},"canonical_sha256":"94abb54379865a19bd5bbd629afdb50c9989e21e59f05194fb5a356921657c8d","source":{"kind":"arxiv","id":"1207.5014","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5014","created_at":"2026-05-18T03:50:34Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5014v1","created_at":"2026-05-18T03:50:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5014","created_at":"2026-05-18T03:50:34Z"},{"alias_kind":"pith_short_12","alias_value":"SSV3KQ3ZQZNB","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SSV3KQ3ZQZNBTPK3","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SSV3KQ3Z","created_at":"2026-05-18T12:27:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:SSV3KQ3ZQZNBTPK3XVRJV7NVBS","target":"record","payload":{"canonical_record":{"source":{"id":"1207.5014","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-07-20T18:28:53Z","cross_cats_sorted":["cs.DM"],"title_canon_sha256":"68f95d139eddf26206fa3c1b82302045e9c269110c3b6be92a2fe69a86f441fc","abstract_canon_sha256":"9cda5af0a20db06d0be50b67fc506abdb268ff4c121fdfa1c68e99ee5a8f551f"},"schema_version":"1.0"},"canonical_sha256":"94abb54379865a19bd5bbd629afdb50c9989e21e59f05194fb5a356921657c8d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:50:34.533197Z","signature_b64":"rUOvJPMkETVy0JlBBaKSc1d8mCMMGxlsVSOKj5hE6DM8xrp1YB/7PTGGOAwy/VCrI+vpfosE+BEO/byjKZ5EDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"94abb54379865a19bd5bbd629afdb50c9989e21e59f05194fb5a356921657c8d","last_reissued_at":"2026-05-18T03:50:34.532448Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:50:34.532448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1207.5014","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":"2026-05-18T03:50:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Q4mu0/anaIZUDdauHIEwJejOlfhy1OIPI08wIj62qzBrhZnKMjzcHanbJ8wc3pf6xC4qC1pZbMbAJFktEU3EDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T03:12:31.832357Z"},"content_sha256":"57661cc9b65d3f98987da0adf3680b52e3af230cdd5b5e9e14e5079ac4daa76f","schema_version":"1.0","event_id":"sha256:57661cc9b65d3f98987da0adf3680b52e3af230cdd5b5e9e14e5079ac4daa76f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:SSV3KQ3ZQZNBTPK3XVRJV7NVBS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Checking Satisfiability by Dependency Sequents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.DM"],"primary_cat":"cs.LO","authors_text":"Eugene Goldberg, Panagiotis Manolios","submitted_at":"2012-07-20T18:28:53Z","abstract_excerpt":"We introduce a new algorithm for checking satisfiability based on a calculus of Dependency sequents (D-sequents). Given a CNF formula F(X), a D-sequent is a record stating that under a partial assignment a set of variables of X is redundant in formula \\exists{X}[F]. The D-sequent calculus is based on operation join that forms a new D-sequent from two existing D-sequents. The new algorithm solves the quantified version of SAT. That is, given a satisfiable formula F, it, in general, does not produce an assignment satisfying F.\n  The new algorithm is called DS-QSAT where DS stands for Dependency "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5014","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":"2026-05-18T03:50:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qMjG69k35jw+hvWziV6zZ99wxEe7VOdwSQ/qK2sx8myKXTzNmchUO4+F8lk/2srbnTqbk9uukKX3MSTAQ3WYAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T03:12:31.832700Z"},"content_sha256":"b3db6e91288e93fce39e648903defbde4e516b2454286b3b0d04e0e2e104963a","schema_version":"1.0","event_id":"sha256:b3db6e91288e93fce39e648903defbde4e516b2454286b3b0d04e0e2e104963a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS/bundle.json","state_url":"https://pith.science/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS/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":"2026-06-29T03:12:31Z","links":{"resolver":"https://pith.science/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS","bundle":"https://pith.science/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS/bundle.json","state":"https://pith.science/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SSV3KQ3ZQZNBTPK3XVRJV7NVBS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:SSV3KQ3ZQZNBTPK3XVRJV7NVBS","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":"9cda5af0a20db06d0be50b67fc506abdb268ff4c121fdfa1c68e99ee5a8f551f","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-07-20T18:28:53Z","title_canon_sha256":"68f95d139eddf26206fa3c1b82302045e9c269110c3b6be92a2fe69a86f441fc"},"schema_version":"1.0","source":{"id":"1207.5014","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1207.5014","created_at":"2026-05-18T03:50:34Z"},{"alias_kind":"arxiv_version","alias_value":"1207.5014v1","created_at":"2026-05-18T03:50:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1207.5014","created_at":"2026-05-18T03:50:34Z"},{"alias_kind":"pith_short_12","alias_value":"SSV3KQ3ZQZNB","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"SSV3KQ3ZQZNBTPK3","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"SSV3KQ3Z","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:b3db6e91288e93fce39e648903defbde4e516b2454286b3b0d04e0e2e104963a","target":"graph","created_at":"2026-05-18T03:50:34Z","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"},"paper":{"abstract_excerpt":"We introduce a new algorithm for checking satisfiability based on a calculus of Dependency sequents (D-sequents). Given a CNF formula F(X), a D-sequent is a record stating that under a partial assignment a set of variables of X is redundant in formula \\exists{X}[F]. The D-sequent calculus is based on operation join that forms a new D-sequent from two existing D-sequents. The new algorithm solves the quantified version of SAT. That is, given a satisfiable formula F, it, in general, does not produce an assignment satisfying F.\n  The new algorithm is called DS-QSAT where DS stands for Dependency ","authors_text":"Eugene Goldberg, Panagiotis Manolios","cross_cats":["cs.DM"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-07-20T18:28:53Z","title":"Checking Satisfiability by Dependency Sequents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1207.5014","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":"sha256:57661cc9b65d3f98987da0adf3680b52e3af230cdd5b5e9e14e5079ac4daa76f","target":"record","created_at":"2026-05-18T03:50:34Z","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":"9cda5af0a20db06d0be50b67fc506abdb268ff4c121fdfa1c68e99ee5a8f551f","cross_cats_sorted":["cs.DM"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2012-07-20T18:28:53Z","title_canon_sha256":"68f95d139eddf26206fa3c1b82302045e9c269110c3b6be92a2fe69a86f441fc"},"schema_version":"1.0","source":{"id":"1207.5014","kind":"arxiv","version":1}},"canonical_sha256":"94abb54379865a19bd5bbd629afdb50c9989e21e59f05194fb5a356921657c8d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"94abb54379865a19bd5bbd629afdb50c9989e21e59f05194fb5a356921657c8d","first_computed_at":"2026-05-18T03:50:34.532448Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:50:34.532448Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rUOvJPMkETVy0JlBBaKSc1d8mCMMGxlsVSOKj5hE6DM8xrp1YB/7PTGGOAwy/VCrI+vpfosE+BEO/byjKZ5EDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:50:34.533197Z","signed_message":"canonical_sha256_bytes"},"source_id":"1207.5014","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:57661cc9b65d3f98987da0adf3680b52e3af230cdd5b5e9e14e5079ac4daa76f","sha256:b3db6e91288e93fce39e648903defbde4e516b2454286b3b0d04e0e2e104963a"],"state_sha256":"008f12fdc4b3796a949f22e70519d57b4e33938a8a03fcd345f0a4e88281a736"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"932HOYa+1ZRusbIizfz1lRUWB+m/oUT+aJIbxzG22EK6/TJAsNaznoJhwNnVb7xEANFVm4gLPo0Xm4oHPqYABA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T03:12:31.834558Z","bundle_sha256":"558d2da2f56cdb9eef1e8ef64515e6584b94909945743e0211612087cbc0b08b"}}