{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:7FMDOHG64JOGERJBWJDICRC5NN","short_pith_number":"pith:7FMDOHG6","canonical_record":{"source":{"id":"math/0202190","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2002-02-19T10:41:59Z","cross_cats_sorted":[],"title_canon_sha256":"49ecc42926d93d6f648205c9c9d1ed7e16a79bdcf745421261998745c8eec436","abstract_canon_sha256":"75fde100e47822d3a555aa4dee98a2f3a7a8f67001497867c699e66b27e53946"},"schema_version":"1.0"},"canonical_sha256":"f958371cdee25c624521b24681445d6b76bc654e71687f19895c48595f548acc","source":{"kind":"arxiv","id":"math/0202190","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0202190","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"math/0202190v1","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0202190","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"7FMDOHG64JOG","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7FMDOHG64JOGERJB","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7FMDOHG6","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:7FMDOHG64JOGERJBWJDICRC5NN","target":"record","payload":{"canonical_record":{"source":{"id":"math/0202190","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.RT","submitted_at":"2002-02-19T10:41:59Z","cross_cats_sorted":[],"title_canon_sha256":"49ecc42926d93d6f648205c9c9d1ed7e16a79bdcf745421261998745c8eec436","abstract_canon_sha256":"75fde100e47822d3a555aa4dee98a2f3a7a8f67001497867c699e66b27e53946"},"schema_version":"1.0"},"canonical_sha256":"f958371cdee25c624521b24681445d6b76bc654e71687f19895c48595f548acc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:39:53.483307Z","signature_b64":"6oVDi+oLI3NLe8FP8rX9Fke4uhCKD7T0PmBmU3FTlLK66aJkAnPfzn5n0/ZcSUI0u1MWjToDpWDKXkNxD9WZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f958371cdee25c624521b24681445d6b76bc654e71687f19895c48595f548acc","last_reissued_at":"2026-05-18T03:39:53.482846Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:39:53.482846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0202190","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":"2026-05-18T03:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xuISMPmdPa1FiaXu425N7x03AFcZ9XWyUX48I/d5zBoDQu3pTlHsyQ5ZmdAEf9j5sTaxQTsumon02ebkU6ITCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T18:53:52.418221Z"},"content_sha256":"6ba48968e90ad06eb8db9b246910c98461f355f5bb14d3852db4efe966953029","schema_version":"1.0","event_id":"sha256:6ba48968e90ad06eb8db9b246910c98461f355f5bb14d3852db4efe966953029"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:7FMDOHG64JOGERJBWJDICRC5NN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A construction of finite-dimensional faithful representation of Lie algebra","license":"","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Yurii A. Neretin","submitted_at":"2002-02-19T10:41:59Z","abstract_excerpt":"We give a natural proof of the Ado theorem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0202190","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":"2026-05-18T03:39:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aja9EfmzCGK/+Q5bHHi0AyrnRwshUag2tqMPhacggHd1bPaRmoVzpLY1Hw7gpB02jkt7zuGFTJ/Pk7THP11EDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T18:53:52.418845Z"},"content_sha256":"4c4ca717c4b0d77bb646ac2c9564e93ed8863bfec77c865eb6e16b8fa4fa7e26","schema_version":"1.0","event_id":"sha256:4c4ca717c4b0d77bb646ac2c9564e93ed8863bfec77c865eb6e16b8fa4fa7e26"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7FMDOHG64JOGERJBWJDICRC5NN/bundle.json","state_url":"https://pith.science/pith/7FMDOHG64JOGERJBWJDICRC5NN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7FMDOHG64JOGERJBWJDICRC5NN/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":"2026-06-30T18:53:52Z","links":{"resolver":"https://pith.science/pith/7FMDOHG64JOGERJBWJDICRC5NN","bundle":"https://pith.science/pith/7FMDOHG64JOGERJBWJDICRC5NN/bundle.json","state":"https://pith.science/pith/7FMDOHG64JOGERJBWJDICRC5NN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7FMDOHG64JOGERJBWJDICRC5NN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:7FMDOHG64JOGERJBWJDICRC5NN","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":"75fde100e47822d3a555aa4dee98a2f3a7a8f67001497867c699e66b27e53946","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2002-02-19T10:41:59Z","title_canon_sha256":"49ecc42926d93d6f648205c9c9d1ed7e16a79bdcf745421261998745c8eec436"},"schema_version":"1.0","source":{"id":"math/0202190","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0202190","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"arxiv_version","alias_value":"math/0202190v1","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0202190","created_at":"2026-05-18T03:39:53Z"},{"alias_kind":"pith_short_12","alias_value":"7FMDOHG64JOG","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"7FMDOHG64JOGERJB","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"7FMDOHG6","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:4c4ca717c4b0d77bb646ac2c9564e93ed8863bfec77c865eb6e16b8fa4fa7e26","target":"graph","created_at":"2026-05-18T03:39:53Z","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 give a natural proof of the Ado theorem.","authors_text":"Yurii A. Neretin","cross_cats":[],"headline":"","license":"","primary_cat":"math.RT","submitted_at":"2002-02-19T10:41:59Z","title":"A construction of finite-dimensional faithful representation of Lie algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0202190","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":"sha256:6ba48968e90ad06eb8db9b246910c98461f355f5bb14d3852db4efe966953029","target":"record","created_at":"2026-05-18T03:39:53Z","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":"75fde100e47822d3a555aa4dee98a2f3a7a8f67001497867c699e66b27e53946","cross_cats_sorted":[],"license":"","primary_cat":"math.RT","submitted_at":"2002-02-19T10:41:59Z","title_canon_sha256":"49ecc42926d93d6f648205c9c9d1ed7e16a79bdcf745421261998745c8eec436"},"schema_version":"1.0","source":{"id":"math/0202190","kind":"arxiv","version":1}},"canonical_sha256":"f958371cdee25c624521b24681445d6b76bc654e71687f19895c48595f548acc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f958371cdee25c624521b24681445d6b76bc654e71687f19895c48595f548acc","first_computed_at":"2026-05-18T03:39:53.482846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:39:53.482846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6oVDi+oLI3NLe8FP8rX9Fke4uhCKD7T0PmBmU3FTlLK66aJkAnPfzn5n0/ZcSUI0u1MWjToDpWDKXkNxD9WZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:39:53.483307Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0202190","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ba48968e90ad06eb8db9b246910c98461f355f5bb14d3852db4efe966953029","sha256:4c4ca717c4b0d77bb646ac2c9564e93ed8863bfec77c865eb6e16b8fa4fa7e26"],"state_sha256":"5aff92029f591ec90a0aaa9d654d6b3998e8536491a1313fadf1a8cd9daf9189"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DwHT5B42GcmMQXPrvlt/mWuCpNYDWJXXkAKiNFZV6VYQPCtZGbHh3ZrDoCQlT0kygkd86OiDV5lzbT2gqPDyCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T18:53:52.421988Z","bundle_sha256":"dba12ec0c5ce839feb7e4fb559797ccab8bb4d30e455a02eef20c7ec4dff9a19"}}