{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:CRWVK2DFVBXKO3PY3RLXYL5C5G","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":"90650727e9f87fcacbbf9c1ec1fb6e48f32b92bf730a8d60c384a88d84a7651d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-06-11T20:02:23Z","title_canon_sha256":"5bd4213b7c3e1c5a07255e95a52c0d0c8acc513a3a3e626ac5800b13afb77b0c"},"schema_version":"1.0","source":{"id":"1706.03401","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.03401","created_at":"2026-05-18T00:42:35Z"},{"alias_kind":"arxiv_version","alias_value":"1706.03401v1","created_at":"2026-05-18T00:42:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03401","created_at":"2026-05-18T00:42:35Z"},{"alias_kind":"pith_short_12","alias_value":"CRWVK2DFVBXK","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_16","alias_value":"CRWVK2DFVBXKO3PY","created_at":"2026-05-18T12:31:10Z"},{"alias_kind":"pith_short_8","alias_value":"CRWVK2DF","created_at":"2026-05-18T12:31:10Z"}],"graph_snapshots":[{"event_id":"sha256:6955b6f3f81c120858adc1c52e011f07b5fe4a2e0196099ff84741d721e0fea9","target":"graph","created_at":"2026-05-18T00:42:35Z","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"},"paper":{"abstract_excerpt":"Motivated by a recent paper of G. Gr\\\"atzer, a finite distributive lattice $D$ is said to be fully principal congruence representable if for every subset $Q$ of $D$ containing $0$, $1$, and the set $J(D)$ of nonzero join-irreducible elements of $D$, there exists a finite lattice $L$ and an isomorphism from the congruence lattice of $L$ onto $D$ such that $Q$ corresponds to the set of principal congruences of $L$ under this isomorphism. Based on earlier results of G. Gr\\\"atzer, H. Lakser, and the present author, we prove that a finite distributive lattice $D$ is fully principal congruence repre","authors_text":"G\\'abor Cz\\'edli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-06-11T20:02:23Z","title":"Characterizing fully principal congruence representable distributive lattices"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03401","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":"sha256:92467e8aa7ce847049664bf13291f1efb3f9663267e83fab8abba95c272902cc","target":"record","created_at":"2026-05-18T00:42:35Z","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":"90650727e9f87fcacbbf9c1ec1fb6e48f32b92bf730a8d60c384a88d84a7651d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-06-11T20:02:23Z","title_canon_sha256":"5bd4213b7c3e1c5a07255e95a52c0d0c8acc513a3a3e626ac5800b13afb77b0c"},"schema_version":"1.0","source":{"id":"1706.03401","kind":"arxiv","version":1}},"canonical_sha256":"146d556865a86ea76df8dc577c2fa2e9aa83a5a4f63372f2cc9401a5a0d4e4f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"146d556865a86ea76df8dc577c2fa2e9aa83a5a4f63372f2cc9401a5a0d4e4f9","first_computed_at":"2026-05-18T00:42:35.799160Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:42:35.799160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fjXF1CNE9URuodNDIQdbNB9mUwF0vo12T7uT09bK4ohBFLU6UWC2Opp5ITTaugG7PEbARXY5pS7uH9GMgqGUDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:42:35.799861Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.03401","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:92467e8aa7ce847049664bf13291f1efb3f9663267e83fab8abba95c272902cc","sha256:6955b6f3f81c120858adc1c52e011f07b5fe4a2e0196099ff84741d721e0fea9"],"state_sha256":"43d38754c2755bf03128981691870c8049da38bc0c85e60331316d98d2716a1a"}