{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:4RP3P77HTJK53XOMLHGZJFKNK7","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":"7284127f447bc2a331134553d10b4d52b1ee731b257ff832e95dcfb00c8714f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-21T11:39:35Z","title_canon_sha256":"1c557c0fe15cbed73a9ac780e4e92574390c9cbab4eb599ed81e3a3470121cb9"},"schema_version":"1.0","source":{"id":"1411.5831","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.5831","created_at":"2026-05-18T02:33:02Z"},{"alias_kind":"arxiv_version","alias_value":"1411.5831v1","created_at":"2026-05-18T02:33:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.5831","created_at":"2026-05-18T02:33:02Z"},{"alias_kind":"pith_short_12","alias_value":"4RP3P77HTJK5","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_16","alias_value":"4RP3P77HTJK53XOM","created_at":"2026-05-18T12:28:14Z"},{"alias_kind":"pith_short_8","alias_value":"4RP3P77H","created_at":"2026-05-18T12:28:14Z"}],"graph_snapshots":[{"event_id":"sha256:5c57482ff414d7e0d1602ee3da924ff10a4e0ea155f1ca4e321be1b9a4b4f438","target":"graph","created_at":"2026-05-18T02:33:02Z","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":"In the first half of this article we define a new weight homology functor on Voevodsky's category of effective motives, and investigate some of its properties. In special cases we recover Gillet-Soul\\'e's weight homology, and Geisser's Kato-Suslin homology. In the second half, we consider the notions of \"co-\\'etale\" and \"reduced\" motives, and use the notions to a prove a theorem comparing motivic homology to \\'etale motivic homology. Due to the first author's Ph.D. thesis arXiv:1305.5349 we do not have to restrict to smooth schemes.","authors_text":"Shane Kelly, Shuji Saito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-21T11:39:35Z","title":"Weight homology of motives"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.5831","kind":"arxiv","version":1},"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:e485b9d962555b248255aba311865c87f7b1164efa963725f6d25172d2030cb2","target":"record","created_at":"2026-05-18T02:33:02Z","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":"7284127f447bc2a331134553d10b4d52b1ee731b257ff832e95dcfb00c8714f2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-11-21T11:39:35Z","title_canon_sha256":"1c557c0fe15cbed73a9ac780e4e92574390c9cbab4eb599ed81e3a3470121cb9"},"schema_version":"1.0","source":{"id":"1411.5831","kind":"arxiv","version":1}},"canonical_sha256":"e45fb7ffe79a55ddddcc59cd94954d57cfda1a7072650c59fc547f203e1068a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e45fb7ffe79a55ddddcc59cd94954d57cfda1a7072650c59fc547f203e1068a7","first_computed_at":"2026-05-18T02:33:02.113527Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:33:02.113527Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EHutjGky2SXLLUGh5dURL6fxxSWC+VMPNibXBVsc4KRQQBdjTLYaLx1Ln3tjyStbqGmK3yu05sO1zHW3ByuMCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:33:02.114085Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.5831","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e485b9d962555b248255aba311865c87f7b1164efa963725f6d25172d2030cb2","sha256:5c57482ff414d7e0d1602ee3da924ff10a4e0ea155f1ca4e321be1b9a4b4f438"],"state_sha256":"9551078dc4d3d1e7c3597c59d9739fb3f7eb20a8c1f3eafd4ccbece8a1f47f8e"}