{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:MCXJ5TXNL62MUEDTL2ES4IM2WH","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":"32e615f3cf8293287fe3a43059e5e93b804d67c4b7fc33b2451b816afe95f5c3","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-30T10:35:20Z","title_canon_sha256":"e720f52112e0aca53c42d32b417341faad3243a09cd8bab6517dce1dd11bdca4"},"schema_version":"1.0","source":{"id":"1907.00359","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.00359","created_at":"2026-07-05T02:41:00Z"},{"alias_kind":"arxiv_version","alias_value":"1907.00359v2","created_at":"2026-07-05T02:41:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.00359","created_at":"2026-07-05T02:41:00Z"},{"alias_kind":"pith_short_12","alias_value":"MCXJ5TXNL62M","created_at":"2026-07-05T02:41:00Z"},{"alias_kind":"pith_short_16","alias_value":"MCXJ5TXNL62MUEDT","created_at":"2026-07-05T02:41:00Z"},{"alias_kind":"pith_short_8","alias_value":"MCXJ5TXN","created_at":"2026-07-05T02:41:00Z"}],"graph_snapshots":[{"event_id":"sha256:39330aa040c30c67d89be6eac0930fb7dc45e581e16063c58bf691be1f0ffe51","target":"graph","created_at":"2026-07-05T02:41:00Z","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/1907.00359/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The present paper proposes a novel way to unify Rough Set Theory and Formal Concept Analysis. Our method stems from results and insights developed in the algebraic theory of modal logic, and is based on the idea that Pawlak's original approximation spaces can be seen as special instances of enriched formal contexts, i.e. relational structures based on formal contexts from Formal Concept Analysis.","authors_text":"Alessandra Palmigiano, Apostolos Tzimoulis, Krishna Manoorkar, Nachoem M. Wijnberg, Sabine Frittella, Sajad Nazari, Willem Conradie","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-30T10:35:20Z","title":"Rough concepts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.00359","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:a034f21c7b1aa0607c67754de26463cd683a729dd7f3f4ebab6b8fdf849fdd7a","target":"record","created_at":"2026-07-05T02:41:00Z","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":"32e615f3cf8293287fe3a43059e5e93b804d67c4b7fc33b2451b816afe95f5c3","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2019-06-30T10:35:20Z","title_canon_sha256":"e720f52112e0aca53c42d32b417341faad3243a09cd8bab6517dce1dd11bdca4"},"schema_version":"1.0","source":{"id":"1907.00359","kind":"arxiv","version":2}},"canonical_sha256":"60ae9eceed5fb4ca10735e892e219ab1c7f65f54969aa0434252cee2852fcae2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"60ae9eceed5fb4ca10735e892e219ab1c7f65f54969aa0434252cee2852fcae2","first_computed_at":"2026-07-05T02:41:00.140785Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:41:00.140785Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nT9A5Pp6eKkOoxxovkieYfluoLK4u84WMT0ZvNuR6QLhmX6v78QK6bAUhaeMa7374IIhtQdG+Llq3nnWUYw4Dg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:41:00.141227Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.00359","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a034f21c7b1aa0607c67754de26463cd683a729dd7f3f4ebab6b8fdf849fdd7a","sha256:39330aa040c30c67d89be6eac0930fb7dc45e581e16063c58bf691be1f0ffe51"],"state_sha256":"19304061f7612d01dac8683f94b72f7281fe2dc0a39e96f6599cebf6b49471bd"}