{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:QC6JEF3OGTS4MTLBFC55TTS2ZE","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":"cbab3d0eb057259f83c276fca9c9b5475a89dab48425de4d0c7fa9af6152353e","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2021-05-04T22:18:04Z","title_canon_sha256":"5e4dce61593289fb979e839167b77649b5a2b6d7db6672dec8fa1c699b0bd3f5"},"schema_version":"1.0","source":{"id":"2105.01782","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.01782","created_at":"2026-07-05T08:51:08Z"},{"alias_kind":"arxiv_version","alias_value":"2105.01782v3","created_at":"2026-07-05T08:51:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.01782","created_at":"2026-07-05T08:51:08Z"},{"alias_kind":"pith_short_12","alias_value":"QC6JEF3OGTS4","created_at":"2026-07-05T08:51:08Z"},{"alias_kind":"pith_short_16","alias_value":"QC6JEF3OGTS4MTLB","created_at":"2026-07-05T08:51:08Z"},{"alias_kind":"pith_short_8","alias_value":"QC6JEF3O","created_at":"2026-07-05T08:51:08Z"}],"graph_snapshots":[{"event_id":"sha256:403faf5c9aea4dfc38451c8a89216481718b8a1616e9287da3fb019c33d63e24","target":"graph","created_at":"2026-07-05T08:51:08Z","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/2105.01782/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An ordering constraint satisfaction problem (OCSP) is defined by a family $\\mathcal{F}$ of predicates mapping permutations on $\\{1,\\ldots,k\\}$ to $\\{0,1\\}$. An instance of Max-OCSP($\\mathcal{F}$) on $n$ variables consists of a list of constraints, each consisting of a predicate from $\\mathcal{F}$ applied on $k$ distinct variables. The goal is to find an ordering of the $n$ variables that maximizes the number of constraints for which the induced ordering on the $k$ variables satisfies the predicate. OCSPs capture well-studied problems including `maximum acyclic subgraph' (MAS) and \"maximum betw","authors_text":"Madhu Sudan, Noah G. Singer, Santhoshini Velusamy","cross_cats":["cs.CC"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2021-05-04T22:18:04Z","title":"Streaming approximation resistance of every ordering CSP"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.01782","kind":"arxiv","version":3},"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:dfb9e02a1fd85c57e7dea9c820a0a820a8ce640b2354accde4b532b67d151df2","target":"record","created_at":"2026-07-05T08:51:08Z","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":"cbab3d0eb057259f83c276fca9c9b5475a89dab48425de4d0c7fa9af6152353e","cross_cats_sorted":["cs.CC"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.DS","submitted_at":"2021-05-04T22:18:04Z","title_canon_sha256":"5e4dce61593289fb979e839167b77649b5a2b6d7db6672dec8fa1c699b0bd3f5"},"schema_version":"1.0","source":{"id":"2105.01782","kind":"arxiv","version":3}},"canonical_sha256":"80bc92176e34e5c64d6128bbd9ce5ac92756534a88bac9a22e918e9fbd0475eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80bc92176e34e5c64d6128bbd9ce5ac92756534a88bac9a22e918e9fbd0475eb","first_computed_at":"2026-07-05T08:51:08.894313Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:51:08.894313Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zpXzT7vBaEI3LYaMLJWrNu9KNKj8sLckFGzjf7s2n8FpKSJOCRnuveAREaSPMFGXSbPfwvWCCtT9GYwX/NpzDA==","signature_status":"signed_v1","signed_at":"2026-07-05T08:51:08.894667Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.01782","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dfb9e02a1fd85c57e7dea9c820a0a820a8ce640b2354accde4b532b67d151df2","sha256:403faf5c9aea4dfc38451c8a89216481718b8a1616e9287da3fb019c33d63e24"],"state_sha256":"fed7d48eb983bff94ba113ddcd9b434a01ceaeb6cb1bf42d67d13102b5763377"}