{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZTYIOBMS5L526X6UOZRYNBFNL7","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":"d92e6ef503ff09fd5f615de90ce0e0c24881719294b2b88ea0cbd457e77ad343","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2026-05-14T13:05:57Z","title_canon_sha256":"1eb48428b2f83ae24f99252f6fca79ace699330cb9fabf13483d04c360be6879"},"schema_version":"1.0","source":{"id":"2605.16421","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.16421","created_at":"2026-05-20T00:02:21Z"},{"alias_kind":"arxiv_version","alias_value":"2605.16421v1","created_at":"2026-05-20T00:02:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.16421","created_at":"2026-05-20T00:02:21Z"},{"alias_kind":"pith_short_12","alias_value":"ZTYIOBMS5L52","created_at":"2026-05-20T00:02:21Z"},{"alias_kind":"pith_short_16","alias_value":"ZTYIOBMS5L526X6U","created_at":"2026-05-20T00:02:21Z"},{"alias_kind":"pith_short_8","alias_value":"ZTYIOBMS","created_at":"2026-05-20T00:02:21Z"}],"graph_snapshots":[{"event_id":"sha256:8a8579524801c41d8efad2316761660a46c71a4373a1fd5d638b3868137e5271","target":"graph","created_at":"2026-05-20T00:02:21Z","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":[{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T19:41:56.556473Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T19:34:36.588868Z","status":"skipped","version":"1.0.0"}],"endpoint":"/pith/2605.16421/integrity.json","findings":[],"snapshot_sha256":"8319aafb5f65eb18381d6d59b7938844ce6498cd68219afee35784587b0247ab","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We present a new algorithm for deciding formula entailment in orthologic (a sound approximation of classical logic) that avoids the costly preprocessing phase of prior implementations while retaining the same $\\mathcal{O}(n^2(1+|A|))$ worst-case complexity. We then introduce a family of synthetic SAT benchmarks based on the observation that, for any formula $\\phi$, the equivalence $\\phi \\leftrightarrow \\mathrm{NF}_{\\mathrm{OL}}(\\phi)$ is a tautology whose Tseitin encoding yields unsatisfiable instances that are hard for state-of-the-art SAT solvers yet have short orthologic proofs. Applied to ","authors_text":"Simon Guilloud, Viktor Kun\\v{c}ak, Vladislas de Haldat","cross_cats":["cs.AI"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2026-05-14T13:05:57Z","title":"Orthologic for SAT Solving"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.16421","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":"sha256:0e968fd00b7467d65585880d6bd42c2caffebc10fa5413011dab1d55ceb71c1a","target":"record","created_at":"2026-05-20T00:02:21Z","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":"d92e6ef503ff09fd5f615de90ce0e0c24881719294b2b88ea0cbd457e77ad343","cross_cats_sorted":["cs.AI"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"cs.LO","submitted_at":"2026-05-14T13:05:57Z","title_canon_sha256":"1eb48428b2f83ae24f99252f6fca79ace699330cb9fabf13483d04c360be6879"},"schema_version":"1.0","source":{"id":"2605.16421","kind":"arxiv","version":1}},"canonical_sha256":"ccf0870592eafbaf5fd476638684ad5ffa289f9b2d1d3870dbf4b1615b2b049e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ccf0870592eafbaf5fd476638684ad5ffa289f9b2d1d3870dbf4b1615b2b049e","first_computed_at":"2026-05-20T00:02:21.462647Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:02:21.462647Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"W78jTuWxj+SXWukToxPgMznYMThngg8FebGLRbbT5sNDCTNIE9A0BjWGWf0u6PRyLUXU3shqkHO9pGltiEcQDA==","signature_status":"signed_v1","signed_at":"2026-05-20T00:02:21.463379Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.16421","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0e968fd00b7467d65585880d6bd42c2caffebc10fa5413011dab1d55ceb71c1a","sha256:8a8579524801c41d8efad2316761660a46c71a4373a1fd5d638b3868137e5271"],"state_sha256":"028d2e4771d1e05b5821e082e13f649e802396b3033b76290a1a51062834fe3c"}