{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:IHV6CB36DQC6FZGRHJM446ZZQG","short_pith_number":"pith:IHV6CB36","canonical_record":{"source":{"id":"1107.4427","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-07-22T06:40:27Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"d182d4aac533057d232439b81eb5deb4d70368020a491b73ec4ab117877b2399","abstract_canon_sha256":"b5f3ee70d43475d0a36cda56a04d945951763fdcd5bf52b9ef9f9afaa790cd2b"},"schema_version":"1.0"},"canonical_sha256":"41ebe1077e1c05e2e4d13a59ce7b3981a8c13f5b11f078cebf28c12df978d92e","source":{"kind":"arxiv","id":"1107.4427","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4427","created_at":"2026-05-18T02:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4427v1","created_at":"2026-05-18T02:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4427","created_at":"2026-05-18T02:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"IHV6CB36DQC6","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IHV6CB36DQC6FZGR","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IHV6CB36","created_at":"2026-05-18T12:26:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:IHV6CB36DQC6FZGRHJM446ZZQG","target":"record","payload":{"canonical_record":{"source":{"id":"1107.4427","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-07-22T06:40:27Z","cross_cats_sorted":["math.QA"],"title_canon_sha256":"d182d4aac533057d232439b81eb5deb4d70368020a491b73ec4ab117877b2399","abstract_canon_sha256":"b5f3ee70d43475d0a36cda56a04d945951763fdcd5bf52b9ef9f9afaa790cd2b"},"schema_version":"1.0"},"canonical_sha256":"41ebe1077e1c05e2e4d13a59ce7b3981a8c13f5b11f078cebf28c12df978d92e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:11.586763Z","signature_b64":"pGnN0ULseBmB+GveyY5PvpY0jb0RA51lsGrBbqtLPHdaV4eZmZp9GFprkW3Iv9IHY/ys9fGoL2cWgzBYVXGCDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41ebe1077e1c05e2e4d13a59ce7b3981a8c13f5b11f078cebf28c12df978d92e","last_reissued_at":"2026-05-18T02:01:11.586019Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:11.586019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.4427","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":"2026-05-18T02:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VCybsRlHY95GLWDUg3pC17n7fGwUtuzITMtg2h2RjDRx2iNUU4+lCfe8mjo+guA8Xo+Ecd3SuUvKgAP/xq7ADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:14:32.312163Z"},"content_sha256":"3c13c3516c40456aa8c89cc4ce16a66150f6be45b0ac5a2714dbf745818c6569","schema_version":"1.0","event_id":"sha256:3c13c3516c40456aa8c89cc4ce16a66150f6be45b0ac5a2714dbf745818c6569"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:IHV6CB36DQC6FZGRHJM446ZZQG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"\\delta-derivations of n-ary algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.QA"],"primary_cat":"math.RA","authors_text":"Ivan Kaygorodov","submitted_at":"2011-07-22T06:40:27Z","abstract_excerpt":"We defined \\delta-derivations of n-ary algebras. We described \\delta-derivations of (n+1)-dimensional n-ary Filippov algebras and simple finite-dimensional Filippov algebras over algebraically closed field zero characteristic, and simple ternary Malcev algebra M_8. We constructed new examples of non-trivial \\delta-derivations of Filippov algebras and new examples of non-trivial antiderivations of simple Filippov algebras."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4427","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":"2026-05-18T02:01:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AaB+MhdkgRm/twyLIMHLBveBmdZNvWy90ovWfzUt115PberC+DyTB5spjjSoM3z188TnR21zNzD6L/2ypSVVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T14:14:32.312536Z"},"content_sha256":"6975c72445505cbafbc939dfede286d708e37ef4d7bae4d7698db70aab117036","schema_version":"1.0","event_id":"sha256:6975c72445505cbafbc939dfede286d708e37ef4d7bae4d7698db70aab117036"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHV6CB36DQC6FZGRHJM446ZZQG/bundle.json","state_url":"https://pith.science/pith/IHV6CB36DQC6FZGRHJM446ZZQG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHV6CB36DQC6FZGRHJM446ZZQG/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":"2026-06-22T14:14:32Z","links":{"resolver":"https://pith.science/pith/IHV6CB36DQC6FZGRHJM446ZZQG","bundle":"https://pith.science/pith/IHV6CB36DQC6FZGRHJM446ZZQG/bundle.json","state":"https://pith.science/pith/IHV6CB36DQC6FZGRHJM446ZZQG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHV6CB36DQC6FZGRHJM446ZZQG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:IHV6CB36DQC6FZGRHJM446ZZQG","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":"b5f3ee70d43475d0a36cda56a04d945951763fdcd5bf52b9ef9f9afaa790cd2b","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-07-22T06:40:27Z","title_canon_sha256":"d182d4aac533057d232439b81eb5deb4d70368020a491b73ec4ab117877b2399"},"schema_version":"1.0","source":{"id":"1107.4427","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.4427","created_at":"2026-05-18T02:01:11Z"},{"alias_kind":"arxiv_version","alias_value":"1107.4427v1","created_at":"2026-05-18T02:01:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.4427","created_at":"2026-05-18T02:01:11Z"},{"alias_kind":"pith_short_12","alias_value":"IHV6CB36DQC6","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_16","alias_value":"IHV6CB36DQC6FZGR","created_at":"2026-05-18T12:26:30Z"},{"alias_kind":"pith_short_8","alias_value":"IHV6CB36","created_at":"2026-05-18T12:26:30Z"}],"graph_snapshots":[{"event_id":"sha256:6975c72445505cbafbc939dfede286d708e37ef4d7bae4d7698db70aab117036","target":"graph","created_at":"2026-05-18T02:01:11Z","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 defined \\delta-derivations of n-ary algebras. We described \\delta-derivations of (n+1)-dimensional n-ary Filippov algebras and simple finite-dimensional Filippov algebras over algebraically closed field zero characteristic, and simple ternary Malcev algebra M_8. We constructed new examples of non-trivial \\delta-derivations of Filippov algebras and new examples of non-trivial antiderivations of simple Filippov algebras.","authors_text":"Ivan Kaygorodov","cross_cats":["math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-07-22T06:40:27Z","title":"\\delta-derivations of n-ary algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.4427","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":"sha256:3c13c3516c40456aa8c89cc4ce16a66150f6be45b0ac5a2714dbf745818c6569","target":"record","created_at":"2026-05-18T02:01:11Z","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":"b5f3ee70d43475d0a36cda56a04d945951763fdcd5bf52b9ef9f9afaa790cd2b","cross_cats_sorted":["math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2011-07-22T06:40:27Z","title_canon_sha256":"d182d4aac533057d232439b81eb5deb4d70368020a491b73ec4ab117877b2399"},"schema_version":"1.0","source":{"id":"1107.4427","kind":"arxiv","version":1}},"canonical_sha256":"41ebe1077e1c05e2e4d13a59ce7b3981a8c13f5b11f078cebf28c12df978d92e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41ebe1077e1c05e2e4d13a59ce7b3981a8c13f5b11f078cebf28c12df978d92e","first_computed_at":"2026-05-18T02:01:11.586019Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:11.586019Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pGnN0ULseBmB+GveyY5PvpY0jb0RA51lsGrBbqtLPHdaV4eZmZp9GFprkW3Iv9IHY/ys9fGoL2cWgzBYVXGCDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:11.586763Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.4427","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c13c3516c40456aa8c89cc4ce16a66150f6be45b0ac5a2714dbf745818c6569","sha256:6975c72445505cbafbc939dfede286d708e37ef4d7bae4d7698db70aab117036"],"state_sha256":"0066ab0bc2c322a0d9b21ca5d9519c76e7486c0b76a3afda37b76cfb8e3568ef"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3zERmd9+BRHw+Ouc1iKmfM68r+eNuHJbb4ZqufOsAzDsJEfpMIw6T24U/zEm3FPrI2g+HIr+42cdQt8zDmV+AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T14:14:32.314480Z","bundle_sha256":"d5a865e64de55f3ac9ea503802da52ae8e9c4649943f1b9214f72f2f495b8dec"}}