{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:N6AXP27QG7YF2EFTDH6OP7QFHM","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":"e2316bc4e76bf2f0f62473528bdf8dcb8adc6236f55d5ddf3d288555554ccbf0","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2009-04-22T18:40:01Z","title_canon_sha256":"369a001fb031e801259a4c9ec2d02216019061346bb36233fc0da6b2bd4f82e5"},"schema_version":"1.0","source":{"id":"0904.3525","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0904.3525","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"arxiv_version","alias_value":"0904.3525v1","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0904.3525","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_12","alias_value":"N6AXP27QG7YF","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_16","alias_value":"N6AXP27QG7YF2EFT","created_at":"2026-06-03T23:06:25Z"},{"alias_kind":"pith_short_8","alias_value":"N6AXP27Q","created_at":"2026-06-03T23:06:25Z"}],"graph_snapshots":[{"event_id":"sha256:704581671adaea3dbd352cb565080f22a851ae85bd3690c4fa2e5e63e709dfcf","target":"graph","created_at":"2026-06-03T23:06:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/0904.3525/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider the decision problem for quantifier-free formulas whose atoms are linear inequalities interpreted over the reals or rationals. This problem may be decided using satisfiability modulo theory (SMT), using a mixture of a SAT solver and a simplex-based decision procedure for conjunctions. State-of-the-art SMT solvers use simplex implementations over rational numbers, which perform well for typical problems arising from model-checking and program analysis (sparse inequalities, small coefficients) but are slow for other applications (denser problems, larger coefficients). We propose a si","authors_text":"David Monniaux (VERIMAG - Imag)","cross_cats":["cs.NA","math.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2009-04-22T18:40:01Z","title":"On using floating-point computations to help an exact linear arithmetic decision procedure"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0904.3525","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:d00e7f93142113cf9ab1976e19182b779f54bdd23514289dc944b51732e46b6a","target":"record","created_at":"2026-06-03T23:06:25Z","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":"e2316bc4e76bf2f0f62473528bdf8dcb8adc6236f55d5ddf3d288555554ccbf0","cross_cats_sorted":["cs.NA","math.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2009-04-22T18:40:01Z","title_canon_sha256":"369a001fb031e801259a4c9ec2d02216019061346bb36233fc0da6b2bd4f82e5"},"schema_version":"1.0","source":{"id":"0904.3525","kind":"arxiv","version":1}},"canonical_sha256":"6f8177ebf037f05d10b319fce7fe053b1721097ea63004fe29ea5a3ff3ee1bc4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6f8177ebf037f05d10b319fce7fe053b1721097ea63004fe29ea5a3ff3ee1bc4","first_computed_at":"2026-06-03T23:06:25.738648Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T23:06:25.738648Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"NILyQu/K31xtYti+hdIQyzgwrIv6jt7g2ApWpUMLL3ghFByepwTIYhhpmRddJRUKiVK7w9dHC4lTMp+wWFD6Dg==","signature_status":"signed_v1","signed_at":"2026-06-03T23:06:25.739046Z","signed_message":"canonical_sha256_bytes"},"source_id":"0904.3525","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d00e7f93142113cf9ab1976e19182b779f54bdd23514289dc944b51732e46b6a","sha256:704581671adaea3dbd352cb565080f22a851ae85bd3690c4fa2e5e63e709dfcf"],"state_sha256":"52b09f7f04ac898dc2898458752ab04adcf94cb084f9c563134d9adbc2a1e99a"}