{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:DT6ELO2UTLZKDXODFHDDXWIDCJ","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":"6f9a4880d2d3daa6e2f921766e9abab25d31049a49d2595b3e7c2eb2122185b5","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T19:59:01Z","title_canon_sha256":"cf153e41e5192dd293bc2a3f7dd85da53205254cd23ee8e92b4f3a7770120354"},"schema_version":"1.0","source":{"id":"1506.00631","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1506.00631","created_at":"2026-05-18T01:35:09Z"},{"alias_kind":"arxiv_version","alias_value":"1506.00631v2","created_at":"2026-05-18T01:35:09Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1506.00631","created_at":"2026-05-18T01:35:09Z"},{"alias_kind":"pith_short_12","alias_value":"DT6ELO2UTLZK","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_16","alias_value":"DT6ELO2UTLZKDXOD","created_at":"2026-05-18T12:29:17Z"},{"alias_kind":"pith_short_8","alias_value":"DT6ELO2U","created_at":"2026-05-18T12:29:17Z"}],"graph_snapshots":[{"event_id":"sha256:a1e87b90bf0a7c8bc6c1c7e46a863d7ed36081a2773f7843b5954d22dfe5f5a0","target":"graph","created_at":"2026-05-18T01:35:09Z","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":"The main goal of this paper is to define a certain Chow weight structure $w_{Chow}$ on the category $DM_c(S)$ of (constructible) $cdh$-motives over an equicharacteristic scheme $S$. In contrast to the previous papers of D. H\\'ebert and the first author on weights for relative motives (with rational coefficients), we can achieve our goal for motives with integral coefficients (if $\\operatorname{char}S=0$; if $\\operatorname{char}S=p>0$ then we consider motives with $\\mathbb{Z}[\\frac{1}{p}]$-coefficients). We prove that the properties of the Chow weight structures that were previously established","authors_text":"Mikhail A. Ivanov, Mikhail V. Bondarko","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T19:59:01Z","title":"On Chow weight structures for $cdh$-motives with integral coefficients"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1506.00631","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:a29cc78b282243b4e2da4149ef5133e69b86e401709adf441b2abd1a082d0015","target":"record","created_at":"2026-05-18T01:35:09Z","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":"6f9a4880d2d3daa6e2f921766e9abab25d31049a49d2595b3e7c2eb2122185b5","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2015-06-01T19:59:01Z","title_canon_sha256":"cf153e41e5192dd293bc2a3f7dd85da53205254cd23ee8e92b4f3a7770120354"},"schema_version":"1.0","source":{"id":"1506.00631","kind":"arxiv","version":2}},"canonical_sha256":"1cfc45bb549af2a1ddc329c63bd90312746f336c228451f0a296ad484bdca806","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1cfc45bb549af2a1ddc329c63bd90312746f336c228451f0a296ad484bdca806","first_computed_at":"2026-05-18T01:35:09.656529Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:09.656529Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/FnwXhDSqvd07ykpynbpnwkR3hIghZVw8/BSyO4TfVLWTsUQykn4+wgFSlX1vQmKYIS+5+LTIs3TRWt+f2DPCg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:09.657246Z","signed_message":"canonical_sha256_bytes"},"source_id":"1506.00631","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a29cc78b282243b4e2da4149ef5133e69b86e401709adf441b2abd1a082d0015","sha256:a1e87b90bf0a7c8bc6c1c7e46a863d7ed36081a2773f7843b5954d22dfe5f5a0"],"state_sha256":"64df38f92cf86b99b6567a07ce6ec551064135af79e7783c05dddb1c4ff27021"}