{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ELBEIRLE3FIYGNFHN37JQNNSZP","short_pith_number":"pith:ELBEIRLE","canonical_record":{"source":{"id":"1802.00943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-03T09:37:14Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"94b9ad69dfc1480c43ca32491e88b766c1be6e10d10da4137455a8b48beb1bd9","abstract_canon_sha256":"b4291ac935a5236ca055b316288a60a7dbca24dbde8d12224c140398c7b0acbe"},"schema_version":"1.0"},"canonical_sha256":"22c2444564d9518334a76efe9835b2cbf65b7aba3db542c49b01a8ce1b79591c","source":{"kind":"arxiv","id":"1802.00943","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00943","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00943v1","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00943","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"ELBEIRLE3FIY","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ELBEIRLE3FIYGNFH","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ELBEIRLE","created_at":"2026-05-18T12:32:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ELBEIRLE3FIYGNFHN37JQNNSZP","target":"record","payload":{"canonical_record":{"source":{"id":"1802.00943","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-03T09:37:14Z","cross_cats_sorted":["math.RA"],"title_canon_sha256":"94b9ad69dfc1480c43ca32491e88b766c1be6e10d10da4137455a8b48beb1bd9","abstract_canon_sha256":"b4291ac935a5236ca055b316288a60a7dbca24dbde8d12224c140398c7b0acbe"},"schema_version":"1.0"},"canonical_sha256":"22c2444564d9518334a76efe9835b2cbf65b7aba3db542c49b01a8ce1b79591c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:24:27.818652Z","signature_b64":"k8hJicYvc35LElEwT912B1s67N9BW72w4LPomlZQzHtTlN6DLD+MAE+DIalxvB9VKeeSiATfpYdhvnUi428OCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"22c2444564d9518334a76efe9835b2cbf65b7aba3db542c49b01a8ce1b79591c","last_reissued_at":"2026-05-18T00:24:27.818205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:24:27.818205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1802.00943","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y63YWapewxEa8yihmgTgTYfAevY+42jEHeSAEboYzONFRDw6lzYm5ohgPAxwzWVz2W8E4IEk8Gk70SZO5X+pCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:05:58.146496Z"},"content_sha256":"fe2aee2274376b64ddfebfdc6d234240481db32659d789e66c1c7ae277005d52","schema_version":"1.0","event_id":"sha256:fe2aee2274376b64ddfebfdc6d234240481db32659d789e66c1c7ae277005d52"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ELBEIRLE3FIYGNFHN37JQNNSZP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Examples of nonalgebraic nilpotent Lie algebra","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.RA"],"primary_cat":"math.AG","authors_text":"Elisabeth Remm, Michel Goze","submitted_at":"2018-02-03T09:37:14Z","abstract_excerpt":"We describe some examples of non abelian nilpotent Lie algebras which are not algebraic."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00943","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:24:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xNfXIGJfkesrm4GvmLxjy9G5mTpOzcJ4rTr5Kg1v1C29yEr+ERQhJQckisoFYKvLVSJg1ZthktAwLaRQTTPwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T15:05:58.147192Z"},"content_sha256":"fbf3def035f25322b945e55e75da10a3928b6b1558b3b15008822d2aa4a17de1","schema_version":"1.0","event_id":"sha256:fbf3def035f25322b945e55e75da10a3928b6b1558b3b15008822d2aa4a17de1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ELBEIRLE3FIYGNFHN37JQNNSZP/bundle.json","state_url":"https://pith.science/pith/ELBEIRLE3FIYGNFHN37JQNNSZP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ELBEIRLE3FIYGNFHN37JQNNSZP/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":"2026-05-25T15:05:58Z","links":{"resolver":"https://pith.science/pith/ELBEIRLE3FIYGNFHN37JQNNSZP","bundle":"https://pith.science/pith/ELBEIRLE3FIYGNFHN37JQNNSZP/bundle.json","state":"https://pith.science/pith/ELBEIRLE3FIYGNFHN37JQNNSZP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ELBEIRLE3FIYGNFHN37JQNNSZP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ELBEIRLE3FIYGNFHN37JQNNSZP","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":"b4291ac935a5236ca055b316288a60a7dbca24dbde8d12224c140398c7b0acbe","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-03T09:37:14Z","title_canon_sha256":"94b9ad69dfc1480c43ca32491e88b766c1be6e10d10da4137455a8b48beb1bd9"},"schema_version":"1.0","source":{"id":"1802.00943","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1802.00943","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"arxiv_version","alias_value":"1802.00943v1","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1802.00943","created_at":"2026-05-18T00:24:27Z"},{"alias_kind":"pith_short_12","alias_value":"ELBEIRLE3FIY","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_16","alias_value":"ELBEIRLE3FIYGNFH","created_at":"2026-05-18T12:32:22Z"},{"alias_kind":"pith_short_8","alias_value":"ELBEIRLE","created_at":"2026-05-18T12:32:22Z"}],"graph_snapshots":[{"event_id":"sha256:fbf3def035f25322b945e55e75da10a3928b6b1558b3b15008822d2aa4a17de1","target":"graph","created_at":"2026-05-18T00:24:27Z","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":"We describe some examples of non abelian nilpotent Lie algebras which are not algebraic.","authors_text":"Elisabeth Remm, Michel Goze","cross_cats":["math.RA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-03T09:37:14Z","title":"Examples of nonalgebraic nilpotent Lie algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1802.00943","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:fe2aee2274376b64ddfebfdc6d234240481db32659d789e66c1c7ae277005d52","target":"record","created_at":"2026-05-18T00:24:27Z","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":"b4291ac935a5236ca055b316288a60a7dbca24dbde8d12224c140398c7b0acbe","cross_cats_sorted":["math.RA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-02-03T09:37:14Z","title_canon_sha256":"94b9ad69dfc1480c43ca32491e88b766c1be6e10d10da4137455a8b48beb1bd9"},"schema_version":"1.0","source":{"id":"1802.00943","kind":"arxiv","version":1}},"canonical_sha256":"22c2444564d9518334a76efe9835b2cbf65b7aba3db542c49b01a8ce1b79591c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"22c2444564d9518334a76efe9835b2cbf65b7aba3db542c49b01a8ce1b79591c","first_computed_at":"2026-05-18T00:24:27.818205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:24:27.818205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"k8hJicYvc35LElEwT912B1s67N9BW72w4LPomlZQzHtTlN6DLD+MAE+DIalxvB9VKeeSiATfpYdhvnUi428OCg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:24:27.818652Z","signed_message":"canonical_sha256_bytes"},"source_id":"1802.00943","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe2aee2274376b64ddfebfdc6d234240481db32659d789e66c1c7ae277005d52","sha256:fbf3def035f25322b945e55e75da10a3928b6b1558b3b15008822d2aa4a17de1"],"state_sha256":"f55f16b7f820da7be7946a2ce66c582c584765e4dff9145cf77205d1895f7428"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5jBikNyK8h+R7Pfa6Smm7kfMpeLmYv7nJoZvwuzHVhfDeKqsHzZdBInIrrzFS5AeIsZmHVAF1BT8yQjp3bn9Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T15:05:58.150800Z","bundle_sha256":"bfa7c933fdd143f921076c30e49cecf22453565b2b8974aecca03533014bc1ec"}}