{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:CRWVK2DFVBXKO3PY3RLXYL5C5G","short_pith_number":"pith:CRWVK2DF","schema_version":"1.0","canonical_sha256":"146d556865a86ea76df8dc577c2fa2e9aa83a5a4f63372f2cc9401a5a0d4e4f9","source":{"kind":"arxiv","id":"1706.03401","version":1},"attestation_state":"computed","paper":{"title":"Characterizing fully principal congruence representable distributive lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"G\\'abor Cz\\'edli","submitted_at":"2017-06-11T20:02:23Z","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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1706.03401","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-06-11T20:02:23Z","cross_cats_sorted":[],"title_canon_sha256":"5bd4213b7c3e1c5a07255e95a52c0d0c8acc513a3a3e626ac5800b13afb77b0c","abstract_canon_sha256":"90650727e9f87fcacbbf9c1ec1fb6e48f32b92bf730a8d60c384a88d84a7651d"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:42:35.799861Z","signature_b64":"fjXF1CNE9URuodNDIQdbNB9mUwF0vo12T7uT09bK4ohBFLU6UWC2Opp5ITTaugG7PEbARXY5pS7uH9GMgqGUDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"146d556865a86ea76df8dc577c2fa2e9aa83a5a4f63372f2cc9401a5a0d4e4f9","last_reissued_at":"2026-05-18T00:42:35.799160Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:42:35.799160Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Characterizing fully principal congruence representable distributive lattices","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"G\\'abor Cz\\'edli","submitted_at":"2017-06-11T20:02:23Z","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"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.03401","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1706.03401","created_at":"2026-05-18T00:42:35.799264+00:00"},{"alias_kind":"arxiv_version","alias_value":"1706.03401v1","created_at":"2026-05-18T00:42:35.799264+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.03401","created_at":"2026-05-18T00:42:35.799264+00:00"},{"alias_kind":"pith_short_12","alias_value":"CRWVK2DFVBXK","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_16","alias_value":"CRWVK2DFVBXKO3PY","created_at":"2026-05-18T12:31:10.602751+00:00"},{"alias_kind":"pith_short_8","alias_value":"CRWVK2DF","created_at":"2026-05-18T12:31:10.602751+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G","json":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G.json","graph_json":"https://pith.science/api/pith-number/CRWVK2DFVBXKO3PY3RLXYL5C5G/graph.json","events_json":"https://pith.science/api/pith-number/CRWVK2DFVBXKO3PY3RLXYL5C5G/events.json","paper":"https://pith.science/paper/CRWVK2DF"},"agent_actions":{"view_html":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G","download_json":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G.json","view_paper":"https://pith.science/paper/CRWVK2DF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1706.03401&json=true","fetch_graph":"https://pith.science/api/pith-number/CRWVK2DFVBXKO3PY3RLXYL5C5G/graph.json","fetch_events":"https://pith.science/api/pith-number/CRWVK2DFVBXKO3PY3RLXYL5C5G/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G/action/timestamp_anchor","attest_storage":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G/action/storage_attestation","attest_author":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G/action/author_attestation","sign_citation":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G/action/citation_signature","submit_replication":"https://pith.science/pith/CRWVK2DFVBXKO3PY3RLXYL5C5G/action/replication_record"}},"created_at":"2026-05-18T00:42:35.799264+00:00","updated_at":"2026-05-18T00:42:35.799264+00:00"}