{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:RC3L6SVLMNJFSOIQMGZ4MKP2BD","short_pith_number":"pith:RC3L6SVL","canonical_record":{"source":{"id":"1508.04302","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-08-18T12:50:12Z","cross_cats_sorted":[],"title_canon_sha256":"c715e66ad42a403f630fc85c20c2a4bb720818a396daf255f31dad2b5f5b4053","abstract_canon_sha256":"d36562f8c987a9af0e490368cb8da7dccbd8d2c91ad49fa0a65b8e81f93b400d"},"schema_version":"1.0"},"canonical_sha256":"88b6bf4aab635259391061b3c629fa08f1bf29155f74d8c67187cac77a9858dd","source":{"kind":"arxiv","id":"1508.04302","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04302","created_at":"2026-05-18T01:34:54Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04302v2","created_at":"2026-05-18T01:34:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04302","created_at":"2026-05-18T01:34:54Z"},{"alias_kind":"pith_short_12","alias_value":"RC3L6SVLMNJF","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RC3L6SVLMNJFSOIQ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RC3L6SVL","created_at":"2026-05-18T12:29:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:RC3L6SVLMNJFSOIQMGZ4MKP2BD","target":"record","payload":{"canonical_record":{"source":{"id":"1508.04302","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-08-18T12:50:12Z","cross_cats_sorted":[],"title_canon_sha256":"c715e66ad42a403f630fc85c20c2a4bb720818a396daf255f31dad2b5f5b4053","abstract_canon_sha256":"d36562f8c987a9af0e490368cb8da7dccbd8d2c91ad49fa0a65b8e81f93b400d"},"schema_version":"1.0"},"canonical_sha256":"88b6bf4aab635259391061b3c629fa08f1bf29155f74d8c67187cac77a9858dd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:34:54.190575Z","signature_b64":"c9foAcTAhBCIVniWinlrczf1XMTUAROFHEJxeO36lc7/Lcq/ols7+qallzsTuK0oyu9brSSE30/BwwgrsSb/BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"88b6bf4aab635259391061b3c629fa08f1bf29155f74d8c67187cac77a9858dd","last_reissued_at":"2026-05-18T01:34:54.189907Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:34:54.189907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1508.04302","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"++nLAMVR6FfkTiKKgUlWE92CRXuuhyVlVuo0aW7JozvmnyBgiucIXyI6PBNduHuHRW4KfPWpNpgNUKjnvZ/TDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T00:27:19.171254Z"},"content_sha256":"46a09f2ab92c6b8d71e44756107eef5237655b0f357fc1093ae8b31b799ee5b2","schema_version":"1.0","event_id":"sha256:46a09f2ab92c6b8d71e44756107eef5237655b0f357fc1093ae8b31b799ee5b2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:RC3L6SVLMNJFSOIQMGZ4MKP2BD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A simultaneous representation of a group and a bounded poset with lattice automorphisms and principal congruences","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"G\\'abor Cz\\'edli","submitted_at":"2015-08-18T12:50:12Z","abstract_excerpt":"Given a poset $P$ with at least two elements and a group $G$, there exists a selfdual lattice of length 16 such that the collection of its principal congruences is order isomorphic to $P$ while its automorphism group to $G$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04302","kind":"arxiv","version":2},"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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:34:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1NnPzmkKeUzLspFRwXwatPOiMTc+oJOoH7JFkAfmsYII1UumISgA3saUuJuEU3IGKHVOTV6JNadfcph69zPdBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T00:27:19.171610Z"},"content_sha256":"aba15b0001030d0194432ba5d5eb46ff7210e2b6086296cb0d546f4bda1a6418","schema_version":"1.0","event_id":"sha256:aba15b0001030d0194432ba5d5eb46ff7210e2b6086296cb0d546f4bda1a6418"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD/bundle.json","state_url":"https://pith.science/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-01T00:27:19Z","links":{"resolver":"https://pith.science/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD","bundle":"https://pith.science/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD/bundle.json","state":"https://pith.science/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RC3L6SVLMNJFSOIQMGZ4MKP2BD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:RC3L6SVLMNJFSOIQMGZ4MKP2BD","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":"d36562f8c987a9af0e490368cb8da7dccbd8d2c91ad49fa0a65b8e81f93b400d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-08-18T12:50:12Z","title_canon_sha256":"c715e66ad42a403f630fc85c20c2a4bb720818a396daf255f31dad2b5f5b4053"},"schema_version":"1.0","source":{"id":"1508.04302","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1508.04302","created_at":"2026-05-18T01:34:54Z"},{"alias_kind":"arxiv_version","alias_value":"1508.04302v2","created_at":"2026-05-18T01:34:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1508.04302","created_at":"2026-05-18T01:34:54Z"},{"alias_kind":"pith_short_12","alias_value":"RC3L6SVLMNJF","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_16","alias_value":"RC3L6SVLMNJFSOIQ","created_at":"2026-05-18T12:29:39Z"},{"alias_kind":"pith_short_8","alias_value":"RC3L6SVL","created_at":"2026-05-18T12:29:39Z"}],"graph_snapshots":[{"event_id":"sha256:aba15b0001030d0194432ba5d5eb46ff7210e2b6086296cb0d546f4bda1a6418","target":"graph","created_at":"2026-05-18T01:34:54Z","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":"Given a poset $P$ with at least two elements and a group $G$, there exists a selfdual lattice of length 16 such that the collection of its principal congruences is order isomorphic to $P$ while its automorphism group to $G$.","authors_text":"G\\'abor Cz\\'edli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-08-18T12:50:12Z","title":"A simultaneous representation of a group and a bounded poset with lattice automorphisms and principal congruences"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1508.04302","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":"sha256:46a09f2ab92c6b8d71e44756107eef5237655b0f357fc1093ae8b31b799ee5b2","target":"record","created_at":"2026-05-18T01:34:54Z","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":"d36562f8c987a9af0e490368cb8da7dccbd8d2c91ad49fa0a65b8e81f93b400d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-08-18T12:50:12Z","title_canon_sha256":"c715e66ad42a403f630fc85c20c2a4bb720818a396daf255f31dad2b5f5b4053"},"schema_version":"1.0","source":{"id":"1508.04302","kind":"arxiv","version":2}},"canonical_sha256":"88b6bf4aab635259391061b3c629fa08f1bf29155f74d8c67187cac77a9858dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"88b6bf4aab635259391061b3c629fa08f1bf29155f74d8c67187cac77a9858dd","first_computed_at":"2026-05-18T01:34:54.189907Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:34:54.189907Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"c9foAcTAhBCIVniWinlrczf1XMTUAROFHEJxeO36lc7/Lcq/ols7+qallzsTuK0oyu9brSSE30/BwwgrsSb/BQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:34:54.190575Z","signed_message":"canonical_sha256_bytes"},"source_id":"1508.04302","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:46a09f2ab92c6b8d71e44756107eef5237655b0f357fc1093ae8b31b799ee5b2","sha256:aba15b0001030d0194432ba5d5eb46ff7210e2b6086296cb0d546f4bda1a6418"],"state_sha256":"072d768a17dfd28582160fb131939d886dbc95ffc00937dc10b0d70d1f2229b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3ifSLTMOCQdoQhvFneRMtOaqxruZahhjuxvsh+y8jF9fMJ0I5SmIUCborAupWILS/iA3+Qb+PxpPRInvoloTAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T00:27:19.173713Z","bundle_sha256":"5bbc52c70c384c44ffa48dbaecdee1e684db8f93ef0b53fc03ad9a16bc906095"}}