{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XHKI77IR2IMAVQDQ3DKXEKZALI","short_pith_number":"pith:XHKI77IR","canonical_record":{"source":{"id":"1405.7126","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-05-28T06:18:56Z","cross_cats_sorted":[],"title_canon_sha256":"7134b0aa352ebc72937b9f801aeb2a97679930ea1f940930047d315805aec58b","abstract_canon_sha256":"9b17671602568d1f8213f553a43a073167b6aac74ef3ce5abec7a0b9eef1f4cb"},"schema_version":"1.0"},"canonical_sha256":"b9d48ffd11d2180ac070d8d5722b205a3fcb7e3b630c200442ab6810a70ae253","source":{"kind":"arxiv","id":"1405.7126","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7126","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7126v3","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7126","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"XHKI77IR2IMA","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XHKI77IR2IMAVQDQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XHKI77IR","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XHKI77IR2IMAVQDQ3DKXEKZALI","target":"record","payload":{"canonical_record":{"source":{"id":"1405.7126","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-05-28T06:18:56Z","cross_cats_sorted":[],"title_canon_sha256":"7134b0aa352ebc72937b9f801aeb2a97679930ea1f940930047d315805aec58b","abstract_canon_sha256":"9b17671602568d1f8213f553a43a073167b6aac74ef3ce5abec7a0b9eef1f4cb"},"schema_version":"1.0"},"canonical_sha256":"b9d48ffd11d2180ac070d8d5722b205a3fcb7e3b630c200442ab6810a70ae253","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:32:06.154026Z","signature_b64":"O0Mclo/7oBdwnHz+3M3DMQ2SykZRTtAgzgOyui7UCfjy9Eiyo7t0vW7kJ/ZXhRvEFZo1NzcxmestOq0nyhn2Cg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b9d48ffd11d2180ac070d8d5722b205a3fcb7e3b630c200442ab6810a70ae253","last_reissued_at":"2026-05-18T02:32:06.153569Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:32:06.153569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1405.7126","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bVBvvqTr+yugpIbORND8/JjiRxvELxq3I6UtDx8KACeI7JRGRRH4pkPUtKD58XCZpLO0y/1hx/zeRtmnMEO0Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:21:40.001180Z"},"content_sha256":"94d49ff5d3d686c59c4994cb0b2c2b24ebfb878dbcb29860290c65dd7a114f2b","schema_version":"1.0","event_id":"sha256:94d49ff5d3d686c59c4994cb0b2c2b24ebfb878dbcb29860290c65dd7a114f2b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XHKI77IR2IMAVQDQ3DKXEKZALI","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the property of subalgebras of Evolution algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"A.Kh. Khudoyberdiyev, B.A. Omirov, L.M. Camacho","submitted_at":"2014-05-28T06:18:56Z","abstract_excerpt":"In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to description of such non-nilpotent algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7126","kind":"arxiv","version":3},"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":"2026-05-18T02:32:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"80SQDtbcEE6JmUJ5dlj1/OgvbxWRzrCuMw6ilJBZ6+2kB/hfEEv9mLvC25pKnYEG0x6F0APymyr8nhwO31D5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T07:21:40.001538Z"},"content_sha256":"7a553e9c605229362bdcc86b8d927de7bc121ef4316e661da909bf366cc6fa05","schema_version":"1.0","event_id":"sha256:7a553e9c605229362bdcc86b8d927de7bc121ef4316e661da909bf366cc6fa05"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XHKI77IR2IMAVQDQ3DKXEKZALI/bundle.json","state_url":"https://pith.science/pith/XHKI77IR2IMAVQDQ3DKXEKZALI/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XHKI77IR2IMAVQDQ3DKXEKZALI/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":"2026-06-24T07:21:40Z","links":{"resolver":"https://pith.science/pith/XHKI77IR2IMAVQDQ3DKXEKZALI","bundle":"https://pith.science/pith/XHKI77IR2IMAVQDQ3DKXEKZALI/bundle.json","state":"https://pith.science/pith/XHKI77IR2IMAVQDQ3DKXEKZALI/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XHKI77IR2IMAVQDQ3DKXEKZALI/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XHKI77IR2IMAVQDQ3DKXEKZALI","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":"9b17671602568d1f8213f553a43a073167b6aac74ef3ce5abec7a0b9eef1f4cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-05-28T06:18:56Z","title_canon_sha256":"7134b0aa352ebc72937b9f801aeb2a97679930ea1f940930047d315805aec58b"},"schema_version":"1.0","source":{"id":"1405.7126","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.7126","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"arxiv_version","alias_value":"1405.7126v3","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.7126","created_at":"2026-05-18T02:32:06Z"},{"alias_kind":"pith_short_12","alias_value":"XHKI77IR2IMA","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XHKI77IR2IMAVQDQ","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XHKI77IR","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:7a553e9c605229362bdcc86b8d927de7bc121ef4316e661da909bf366cc6fa05","target":"graph","created_at":"2026-05-18T02:32:06Z","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":"In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to description of such non-nilpotent algebras.","authors_text":"A.Kh. Khudoyberdiyev, B.A. Omirov, L.M. Camacho","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-05-28T06:18:56Z","title":"On the property of subalgebras of Evolution algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.7126","kind":"arxiv","version":3},"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":"sha256:94d49ff5d3d686c59c4994cb0b2c2b24ebfb878dbcb29860290c65dd7a114f2b","target":"record","created_at":"2026-05-18T02:32:06Z","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":"9b17671602568d1f8213f553a43a073167b6aac74ef3ce5abec7a0b9eef1f4cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2014-05-28T06:18:56Z","title_canon_sha256":"7134b0aa352ebc72937b9f801aeb2a97679930ea1f940930047d315805aec58b"},"schema_version":"1.0","source":{"id":"1405.7126","kind":"arxiv","version":3}},"canonical_sha256":"b9d48ffd11d2180ac070d8d5722b205a3fcb7e3b630c200442ab6810a70ae253","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b9d48ffd11d2180ac070d8d5722b205a3fcb7e3b630c200442ab6810a70ae253","first_computed_at":"2026-05-18T02:32:06.153569Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:32:06.153569Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O0Mclo/7oBdwnHz+3M3DMQ2SykZRTtAgzgOyui7UCfjy9Eiyo7t0vW7kJ/ZXhRvEFZo1NzcxmestOq0nyhn2Cg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:32:06.154026Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.7126","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94d49ff5d3d686c59c4994cb0b2c2b24ebfb878dbcb29860290c65dd7a114f2b","sha256:7a553e9c605229362bdcc86b8d927de7bc121ef4316e661da909bf366cc6fa05"],"state_sha256":"fb38d7a3cd16784f5f2d76f3564b24430190c6af2c44f64d8eaff75bd87de99d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gXe7uZJ8uZgDRO/+3ykazUFGXoF1KdZ5DB4O86siCBwquHMADgwN+Kc8We0dijveNnW9c29DGRqEjw/5Qw2lCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T07:21:40.003473Z","bundle_sha256":"5910aec5d71321d2d1145a5c4a2e4fd0ca5383151ed3ac522698fb732531652f"}}