{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:73R35FSYT7DG3EMSNNDOMYU6MD","short_pith_number":"pith:73R35FSY","schema_version":"1.0","canonical_sha256":"fee3be96589fc66d91926b46e6629e60f691ea7dfe29f30b21ca6a5dbbd67253","source":{"kind":"arxiv","id":"1712.07302","version":1},"attestation_state":"computed","paper":{"title":"Embeddings in Lie algebras of subexponential growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Adel Alahmadi, Hamed Alsulami","submitted_at":"2017-12-19T11:29:57Z","abstract_excerpt":"We prove that an arbitrary countable dimensional Lie algebra over a field of characteristic $\\neq 2$ that is locally of subexponential growth is embeddable in a finitely generated Lie algebra of subexponential growth."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1712.07302","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RA","submitted_at":"2017-12-19T11:29:57Z","cross_cats_sorted":[],"title_canon_sha256":"2472aec585bc23c4073deea5dd0ed656688e2cd7784fbd671ab6900b7470e8e9","abstract_canon_sha256":"14c320ab08300ba09d7c2ab1f3e0964e15ba9bba065d2488abdf55e2ea5c7370"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:34.896719Z","signature_b64":"zahuPaxWbVAfwfUsaNHP1AytTl3SUs83bVdHJ3IK7udxxwntUdOHJwN6u84X0mGWHCpVYJKFqehyqZ6qX8yeBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fee3be96589fc66d91926b46e6629e60f691ea7dfe29f30b21ca6a5dbbd67253","last_reissued_at":"2026-05-18T00:27:34.895969Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:34.895969Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Embeddings in Lie algebras of subexponential growth","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RA","authors_text":"Adel Alahmadi, Hamed Alsulami","submitted_at":"2017-12-19T11:29:57Z","abstract_excerpt":"We prove that an arbitrary countable dimensional Lie algebra over a field of characteristic $\\neq 2$ that is locally of subexponential growth is embeddable in a finitely generated Lie algebra of subexponential growth."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.07302","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.07302","created_at":"2026-05-18T00:27:34.896076+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.07302v1","created_at":"2026-05-18T00:27:34.896076+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.07302","created_at":"2026-05-18T00:27:34.896076+00:00"},{"alias_kind":"pith_short_12","alias_value":"73R35FSYT7DG","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_16","alias_value":"73R35FSYT7DG3EMS","created_at":"2026-05-18T12:31:03.183658+00:00"},{"alias_kind":"pith_short_8","alias_value":"73R35FSY","created_at":"2026-05-18T12:31:03.183658+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD","json":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD.json","graph_json":"https://pith.science/api/pith-number/73R35FSYT7DG3EMSNNDOMYU6MD/graph.json","events_json":"https://pith.science/api/pith-number/73R35FSYT7DG3EMSNNDOMYU6MD/events.json","paper":"https://pith.science/paper/73R35FSY"},"agent_actions":{"view_html":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD","download_json":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD.json","view_paper":"https://pith.science/paper/73R35FSY","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.07302&json=true","fetch_graph":"https://pith.science/api/pith-number/73R35FSYT7DG3EMSNNDOMYU6MD/graph.json","fetch_events":"https://pith.science/api/pith-number/73R35FSYT7DG3EMSNNDOMYU6MD/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD/action/timestamp_anchor","attest_storage":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD/action/storage_attestation","attest_author":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD/action/author_attestation","sign_citation":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD/action/citation_signature","submit_replication":"https://pith.science/pith/73R35FSYT7DG3EMSNNDOMYU6MD/action/replication_record"}},"created_at":"2026-05-18T00:27:34.896076+00:00","updated_at":"2026-05-18T00:27:34.896076+00:00"}