{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:7H7MJT5TQ6GQOSVZP6FL6656K3","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":"c53248b884188fe71c201e0f21d7dfaae356661a256783e159e2d55080df0929","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2006-01-30T19:15:44Z","title_canon_sha256":"5f94531e1107b536ff900fe798ced089a0a29f30c9e88e55485375e0de072df1"},"schema_version":"1.0","source":{"id":"math/0601713","kind":"arxiv","version":9}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0601713","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"arxiv_version","alias_value":"math/0601713v9","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0601713","created_at":"2026-05-18T02:41:58Z"},{"alias_kind":"pith_short_12","alias_value":"7H7MJT5TQ6GQ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"7H7MJT5TQ6GQOSVZ","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"7H7MJT5T","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:728cbb92a8fe6a2b938ab10b1417839742120eb23f351355e9df6fc60ca34804","target":"graph","created_at":"2026-05-18T02:41:58Z","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 describe the Voevodsky's category $DM^{eff}_{gm}$ of motives in terms of Suslin complexes of smooth projective varieties. This shows that Voeovodsky's $DM_{gm}$ is anti-equivalent to Hanamura's one. We give a description of any triangulated subcategory of $DM^{eff}_{gm}$ (including the category of effective mixed Tate motives). We descibe 'truncation' functors $t_N$ for $N>0$. $t=t_0$ generalizes the weight complex of Soule and Gillet; its target is $K^b(Chow_{eff})$; it calculates $K_0(DM^{eff}_{gm})$, and checks whether a motive is a mixed Tate one. $t_N$ give a weight filtration and a 'm","authors_text":"M.V. Bondarko","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2006-01-30T19:15:44Z","title":"Differential graded motives: weight complex, weight filtrations and spectral sequences for realizations; Voevodsky vs. Hanamura"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0601713","kind":"arxiv","version":9},"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:f535ff21635a20c75de9b371bf411754b57add04a06ef9b8f724f0995e977bb1","target":"record","created_at":"2026-05-18T02:41:58Z","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":"c53248b884188fe71c201e0f21d7dfaae356661a256783e159e2d55080df0929","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2006-01-30T19:15:44Z","title_canon_sha256":"5f94531e1107b536ff900fe798ced089a0a29f30c9e88e55485375e0de072df1"},"schema_version":"1.0","source":{"id":"math/0601713","kind":"arxiv","version":9}},"canonical_sha256":"f9fec4cfb3878d074ab97f8abf7bbe56c8df01aa572bbc35325e5a9410963fab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f9fec4cfb3878d074ab97f8abf7bbe56c8df01aa572bbc35325e5a9410963fab","first_computed_at":"2026-05-18T02:41:58.541556Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:41:58.541556Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uaL8e4O+nP/f0h1q9OnJOdpTpM5hAmVwI+Z0NEJ0vwRNYxF7CErlesb+d3FG/UCpTv94UjRyctpQKqoMGz/ZCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:41:58.541971Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0601713","source_kind":"arxiv","source_version":9}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f535ff21635a20c75de9b371bf411754b57add04a06ef9b8f724f0995e977bb1","sha256:728cbb92a8fe6a2b938ab10b1417839742120eb23f351355e9df6fc60ca34804"],"state_sha256":"91b04f2ee964ab73b45bdaf42df5a4ea60bf2eaa76fad6e774b7c959e273da87"}