{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2015:N2Q3EJ6REZAVMXUDKCMPSIVRTL","short_pith_number":"pith:N2Q3EJ6R","schema_version":"1.0","canonical_sha256":"6ea1b227d12641565e835098f922b19ad547374615945ba3b6c83c8db30ce962","source":{"kind":"arxiv","id":"1504.07077","version":1},"attestation_state":"computed","paper":{"title":"Growth for the central polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Amitai Regev","submitted_at":"2015-04-27T13:24:50Z","abstract_excerpt":"We study the growth of the central polynomials for the algebras $G$ and $M_k(F)$, the infinite dimensional Grassmann algebra and the $k\\times k$ matrices over a field $F$ of characteristic zero. In particular it follows that $M_k(F)$ satisfy many proper central polynomials."},"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":"1504.07077","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.RT","submitted_at":"2015-04-27T13:24:50Z","cross_cats_sorted":[],"title_canon_sha256":"4e5b1eea514542cb05e5f2b99e124726f3dfab06c8c54aeb051c0afb1121ace6","abstract_canon_sha256":"49ee0098f1b618cf57e6c4b9b02a702388013e2a86e0d6b317a04fba129a0151"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:17:43.758873Z","signature_b64":"9PDHCjvJXgSv7MxoDdhld4TXPi7lcyWNsIr8IZqqztXNpd1oWe9+RTF5YiS6vpGD1flTyVBIoYGUklDEXwVeCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6ea1b227d12641565e835098f922b19ad547374615945ba3b6c83c8db30ce962","last_reissued_at":"2026-05-18T02:17:43.758443Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:17:43.758443Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Growth for the central polynomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.RT","authors_text":"Amitai Regev","submitted_at":"2015-04-27T13:24:50Z","abstract_excerpt":"We study the growth of the central polynomials for the algebras $G$ and $M_k(F)$, the infinite dimensional Grassmann algebra and the $k\\times k$ matrices over a field $F$ of characteristic zero. In particular it follows that $M_k(F)$ satisfy many proper central polynomials."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.07077","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":"1504.07077","created_at":"2026-05-18T02:17:43.758503+00:00"},{"alias_kind":"arxiv_version","alias_value":"1504.07077v1","created_at":"2026-05-18T02:17:43.758503+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1504.07077","created_at":"2026-05-18T02:17:43.758503+00:00"},{"alias_kind":"pith_short_12","alias_value":"N2Q3EJ6REZAV","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_16","alias_value":"N2Q3EJ6REZAVMXUD","created_at":"2026-05-18T12:29:32.376354+00:00"},{"alias_kind":"pith_short_8","alias_value":"N2Q3EJ6R","created_at":"2026-05-18T12:29:32.376354+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/N2Q3EJ6REZAVMXUDKCMPSIVRTL","json":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL.json","graph_json":"https://pith.science/api/pith-number/N2Q3EJ6REZAVMXUDKCMPSIVRTL/graph.json","events_json":"https://pith.science/api/pith-number/N2Q3EJ6REZAVMXUDKCMPSIVRTL/events.json","paper":"https://pith.science/paper/N2Q3EJ6R"},"agent_actions":{"view_html":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL","download_json":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL.json","view_paper":"https://pith.science/paper/N2Q3EJ6R","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1504.07077&json=true","fetch_graph":"https://pith.science/api/pith-number/N2Q3EJ6REZAVMXUDKCMPSIVRTL/graph.json","fetch_events":"https://pith.science/api/pith-number/N2Q3EJ6REZAVMXUDKCMPSIVRTL/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL/action/timestamp_anchor","attest_storage":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL/action/storage_attestation","attest_author":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL/action/author_attestation","sign_citation":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL/action/citation_signature","submit_replication":"https://pith.science/pith/N2Q3EJ6REZAVMXUDKCMPSIVRTL/action/replication_record"}},"created_at":"2026-05-18T02:17:43.758503+00:00","updated_at":"2026-05-18T02:17:43.758503+00:00"}