{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MSQU7DOYJJGAL4NSBXLWUURX4Z","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":"210453ce32733a98e73d26627188cfcd09d21d4e92f0ee94e6942b568fb1d770","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-07T06:16:19Z","title_canon_sha256":"aa99f47b6862f8a756d99cfc816fed8aa1d9fe1ce012b58e83f9139b1c59e77f"},"schema_version":"1.0","source":{"id":"1801.02145","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.02145","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"arxiv_version","alias_value":"1801.02145v2","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.02145","created_at":"2026-05-18T00:22:15Z"},{"alias_kind":"pith_short_12","alias_value":"MSQU7DOYJJGA","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"MSQU7DOYJJGAL4NS","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"MSQU7DOY","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:cdc1219e3f548ac2ca13574781c5357c9edb80e494d6602b1c15e883b23f302b","target":"graph","created_at":"2026-05-18T00:22:15Z","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":"Consider the neutral Tannakian category mixed Tate motives over Z, in this paper we suggest a way to understand the structure of depth-graded motivic Lie subalgebra generated by the depth one part. We will show that from an isomorphism conjecture proposed by K. Tasaka we can deduce the F. Brown matrix conjecture and the non-degenerated conjecture about depth-graded motivic Lie subalgebra generated by the depth one part.","authors_text":"Jiangtao Li","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-07T06:16:19Z","title":"Depth-graded motivic Lie algebra"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.02145","kind":"arxiv","version":2},"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":"sha256:4d7a61412f7363019c524714e5c194960e0bfaee06f92ae5ea3a45c9093c365a","target":"record","created_at":"2026-05-18T00:22:15Z","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":"210453ce32733a98e73d26627188cfcd09d21d4e92f0ee94e6942b568fb1d770","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NT","submitted_at":"2018-01-07T06:16:19Z","title_canon_sha256":"aa99f47b6862f8a756d99cfc816fed8aa1d9fe1ce012b58e83f9139b1c59e77f"},"schema_version":"1.0","source":{"id":"1801.02145","kind":"arxiv","version":2}},"canonical_sha256":"64a14f8dd84a4c05f1b20dd76a5237e66a0a9eee917de42cc912cc9fb23a9573","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"64a14f8dd84a4c05f1b20dd76a5237e66a0a9eee917de42cc912cc9fb23a9573","first_computed_at":"2026-05-18T00:22:15.690821Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:22:15.690821Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6sJJmDbSnU3apUiW0mrg0aMmWTTVw/oowyaZDPryP70sWuQ/nFssl18Y15rIO8WUAQfoEaexAvIL+47YXmrACg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:22:15.691344Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.02145","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d7a61412f7363019c524714e5c194960e0bfaee06f92ae5ea3a45c9093c365a","sha256:cdc1219e3f548ac2ca13574781c5357c9edb80e494d6602b1c15e883b23f302b"],"state_sha256":"072950f38af1cb910a8de96a2fc1768ed60d520481cf2b94717ac9785fcaea8a"}