{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:K4IODP5FVFYWTJDWDGT5DJETGF","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":"e45aa049567739bc08be8f08f616f8989347aa6158e8e5d3d3597d5bc1f4c4e2","cross_cats_sorted":["cs.IT","cs.LG","math.IT","math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-12-02T19:01:29Z","title_canon_sha256":"74f2cba1ef5bb8267f8b9292c64cb31ce756a6501e67ebb8d3eb40327fc4e3b4"},"schema_version":"1.0","source":{"id":"1912.01032","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1912.01032","created_at":"2026-07-05T00:43:05Z"},{"alias_kind":"arxiv_version","alias_value":"1912.01032v2","created_at":"2026-07-05T00:43:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1912.01032","created_at":"2026-07-05T00:43:05Z"},{"alias_kind":"pith_short_12","alias_value":"K4IODP5FVFYW","created_at":"2026-07-05T00:43:05Z"},{"alias_kind":"pith_short_16","alias_value":"K4IODP5FVFYWTJDW","created_at":"2026-07-05T00:43:05Z"},{"alias_kind":"pith_short_8","alias_value":"K4IODP5F","created_at":"2026-07-05T00:43:05Z"}],"graph_snapshots":[{"event_id":"sha256:e825685c5900d82e8dbe3a32b2a85ed0ec82cfb4dabda73d476a2ec3c2537aa8","target":"graph","created_at":"2026-07-05T00:43:05Z","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/1912.01032/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The Boolean SATisfiability problem (SAT) is of central importance in computer science. Although SAT is known to be NP-complete, progress on the engineering side, especially that of Conflict-Driven Clause Learning (CDCL) and Local Search SAT solvers, has been remarkable. Yet, while SAT solvers aimed at solving industrial-scale benchmarks in Conjunctive Normal Form (CNF) have become quite mature, SAT solvers that are effective on other types of constraints, e.g., cardinality constraints and XORs, are less well studied; a general approach to handling non-CNF constraints is still lacking. In addit","authors_text":"Anastasios Kyrillidis, Anshumali Shrivastava, Moshe Y. Vardi, Zhiwei Zhang","cross_cats":["cs.IT","cs.LG","math.IT","math.OC"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-12-02T19:01:29Z","title":"FourierSAT: A Fourier Expansion-Based Algebraic Framework for Solving Hybrid Boolean Constraints"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1912.01032","kind":"arxiv","version":2},"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":"sha256:021a8348781964eed6c20e0637289ebc9d52e5625e69dd59f0cf4aeb832b9a88","target":"record","created_at":"2026-07-05T00:43:05Z","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":"e45aa049567739bc08be8f08f616f8989347aa6158e8e5d3d3597d5bc1f4c4e2","cross_cats_sorted":["cs.IT","cs.LG","math.IT","math.OC"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cs.LO","submitted_at":"2019-12-02T19:01:29Z","title_canon_sha256":"74f2cba1ef5bb8267f8b9292c64cb31ce756a6501e67ebb8d3eb40327fc4e3b4"},"schema_version":"1.0","source":{"id":"1912.01032","kind":"arxiv","version":2}},"canonical_sha256":"5710e1bfa5a97169a47619a7d1a4933153bf4943596cca13b41c0372ee39d4ad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5710e1bfa5a97169a47619a7d1a4933153bf4943596cca13b41c0372ee39d4ad","first_computed_at":"2026-07-05T00:43:05.978670Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:43:05.978670Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ThpSF94e5uaLaklVT8O6D8EXqmV8DJznwZ0pziFL7fyToS2ZqqAEFEYR2i32yiyR+3iPLlJmd7DBoFGL7D7LBA==","signature_status":"signed_v1","signed_at":"2026-07-05T00:43:05.979131Z","signed_message":"canonical_sha256_bytes"},"source_id":"1912.01032","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:021a8348781964eed6c20e0637289ebc9d52e5625e69dd59f0cf4aeb832b9a88","sha256:e825685c5900d82e8dbe3a32b2a85ed0ec82cfb4dabda73d476a2ec3c2537aa8"],"state_sha256":"d7660f6f2427b4cc1613389320831005ee34acc0196aa13c1b9226db8c643985"}