{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:GZIF5KAPNEVWFWCYA2PGDEB5HL","short_pith_number":"pith:GZIF5KAP","canonical_record":{"source":{"id":"1502.05431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-02-18T22:13:54Z","cross_cats_sorted":[],"title_canon_sha256":"c185ac6823288665e00e7b6f540d4121091d094d5e016e574a3334f6aa293c13","abstract_canon_sha256":"052b97ab344ae0354da27d9aa5429d285438c49b668991f642c458c0e6c4a34a"},"schema_version":"1.0"},"canonical_sha256":"36505ea80f692b62d858069e61903d3afa90bf96037262de2475fc9dd355e18f","source":{"kind":"arxiv","id":"1502.05431","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05431","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05431v1","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05431","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"GZIF5KAPNEVW","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GZIF5KAPNEVWFWCY","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GZIF5KAP","created_at":"2026-05-18T12:29:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:GZIF5KAPNEVWFWCYA2PGDEB5HL","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05431","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-02-18T22:13:54Z","cross_cats_sorted":[],"title_canon_sha256":"c185ac6823288665e00e7b6f540d4121091d094d5e016e574a3334f6aa293c13","abstract_canon_sha256":"052b97ab344ae0354da27d9aa5429d285438c49b668991f642c458c0e6c4a34a"},"schema_version":"1.0"},"canonical_sha256":"36505ea80f692b62d858069e61903d3afa90bf96037262de2475fc9dd355e18f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:46.553936Z","signature_b64":"XPe3/n9KZuyUlaQRZjVWiVrXnI5IhtgJgxg7ezkZZipHLebjkKC6MLnU2T0EK47l0xuTJrY8cw3hbwqI3xv7Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"36505ea80f692b62d858069e61903d3afa90bf96037262de2475fc9dd355e18f","last_reissued_at":"2026-05-18T02:26:46.553538Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:46.553538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05431","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":"2026-05-18T02:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HrBjSESlTcqVOk1t6NhtfJbUm4DtUZZeI6jxjKS/25manRj3UgsFv9JfO/sFEnxU92mtzIGnG7Oyt3xScMh2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:01:28.343363Z"},"content_sha256":"1ba964f0116685ec5bde950891fb4132bc03bf53d299971b66bb97d3d115d7bf","schema_version":"1.0","event_id":"sha256:1ba964f0116685ec5bde950891fb4132bc03bf53d299971b66bb97d3d115d7bf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:GZIF5KAPNEVWFWCYA2PGDEB5HL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-finitely based varieties of right alternative metabelian algebras","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Alexey Kuz'min","submitted_at":"2015-02-18T22:13:54Z","abstract_excerpt":"Since 1976, it is known from the paper by V. P. Belkin that the variety $\\mathrm{RA_2}$ of right alternative metabelian (solvable of index 2) algebras over an arbitrary field is not Spechtian (contains non-finitely based subvarieties). In 2005, S. V. Pchelintsev proved that the variety generated by the Grassmann $\\mathrm{RA_2}$-algebra of finite rank $r$ over a field $\\mathcal{F}$, for $\\mathrm{char}(\\mathcal{F})\\neq2$, is Spechtian iff $r=1$. We construct a non-finitely based variety $\\mathfrak{M}$ generated by the Grassmann $\\mathcal{V}$-algebra of rank $2$ of certain finitely based subvarie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05431","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":"2026-05-18T02:26:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oopRuun7CNE1WTA2JbdOMGBKZgnnj7jD8IBMnKLbAwOr0QP2NSDZdjFn+QX0RLsFSeWhZ2ClskzIkGG1p35QCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-28T16:01:28.343711Z"},"content_sha256":"2d5c516df72378265646369cf1c60c85ff3409d4a61882018afbd1e1b5683649","schema_version":"1.0","event_id":"sha256:2d5c516df72378265646369cf1c60c85ff3409d4a61882018afbd1e1b5683649"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL/bundle.json","state_url":"https://pith.science/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL/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":"2026-06-28T16:01:28Z","links":{"resolver":"https://pith.science/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL","bundle":"https://pith.science/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL/bundle.json","state":"https://pith.science/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/GZIF5KAPNEVWFWCYA2PGDEB5HL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:GZIF5KAPNEVWFWCYA2PGDEB5HL","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":"052b97ab344ae0354da27d9aa5429d285438c49b668991f642c458c0e6c4a34a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-02-18T22:13:54Z","title_canon_sha256":"c185ac6823288665e00e7b6f540d4121091d094d5e016e574a3334f6aa293c13"},"schema_version":"1.0","source":{"id":"1502.05431","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05431","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05431v1","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05431","created_at":"2026-05-18T02:26:46Z"},{"alias_kind":"pith_short_12","alias_value":"GZIF5KAPNEVW","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_16","alias_value":"GZIF5KAPNEVWFWCY","created_at":"2026-05-18T12:29:22Z"},{"alias_kind":"pith_short_8","alias_value":"GZIF5KAP","created_at":"2026-05-18T12:29:22Z"}],"graph_snapshots":[{"event_id":"sha256:2d5c516df72378265646369cf1c60c85ff3409d4a61882018afbd1e1b5683649","target":"graph","created_at":"2026-05-18T02:26:46Z","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":"Since 1976, it is known from the paper by V. P. Belkin that the variety $\\mathrm{RA_2}$ of right alternative metabelian (solvable of index 2) algebras over an arbitrary field is not Spechtian (contains non-finitely based subvarieties). In 2005, S. V. Pchelintsev proved that the variety generated by the Grassmann $\\mathrm{RA_2}$-algebra of finite rank $r$ over a field $\\mathcal{F}$, for $\\mathrm{char}(\\mathcal{F})\\neq2$, is Spechtian iff $r=1$. We construct a non-finitely based variety $\\mathfrak{M}$ generated by the Grassmann $\\mathcal{V}$-algebra of rank $2$ of certain finitely based subvarie","authors_text":"Alexey Kuz'min","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-02-18T22:13:54Z","title":"Non-finitely based varieties of right alternative metabelian algebras"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05431","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":"sha256:1ba964f0116685ec5bde950891fb4132bc03bf53d299971b66bb97d3d115d7bf","target":"record","created_at":"2026-05-18T02:26:46Z","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":"052b97ab344ae0354da27d9aa5429d285438c49b668991f642c458c0e6c4a34a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2015-02-18T22:13:54Z","title_canon_sha256":"c185ac6823288665e00e7b6f540d4121091d094d5e016e574a3334f6aa293c13"},"schema_version":"1.0","source":{"id":"1502.05431","kind":"arxiv","version":1}},"canonical_sha256":"36505ea80f692b62d858069e61903d3afa90bf96037262de2475fc9dd355e18f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"36505ea80f692b62d858069e61903d3afa90bf96037262de2475fc9dd355e18f","first_computed_at":"2026-05-18T02:26:46.553538Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:46.553538Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"XPe3/n9KZuyUlaQRZjVWiVrXnI5IhtgJgxg7ezkZZipHLebjkKC6MLnU2T0EK47l0xuTJrY8cw3hbwqI3xv7Ag==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:46.553936Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05431","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1ba964f0116685ec5bde950891fb4132bc03bf53d299971b66bb97d3d115d7bf","sha256:2d5c516df72378265646369cf1c60c85ff3409d4a61882018afbd1e1b5683649"],"state_sha256":"1736dc9c60c2d15b9e3c5a7614e57e0b6be5396e73569faf354bda2741145df6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pNHWmaqgd/pULr01gB2GCxtvTqoFKrzsYM45bnud8vN5zuHwMpMCdQbiJM3Rvy4PVH921t+RsSR/Z8Vg8/VKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-28T16:01:28.346220Z","bundle_sha256":"b2c2e607608d9b0861d8a2a0f1958d81180d707448b7d800c37d1c0a33d26775"}}