{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:EVEU2UPI64CNQU7PKWJH7IZXIJ","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":"954e5ed975423f9d6da62208f42847018e5bf5aa932325fec637191545b6f7bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-21T22:54:42Z","title_canon_sha256":"19cce5843555ea002da80ec93f61edcffa6fbb24051b09baeadf348023475ef2"},"schema_version":"1.0","source":{"id":"1104.4364","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4364","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4364v1","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4364","created_at":"2026-05-18T04:23:34Z"},{"alias_kind":"pith_short_12","alias_value":"EVEU2UPI64CN","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_16","alias_value":"EVEU2UPI64CNQU7P","created_at":"2026-05-18T12:26:28Z"},{"alias_kind":"pith_short_8","alias_value":"EVEU2UPI","created_at":"2026-05-18T12:26:28Z"}],"graph_snapshots":[{"event_id":"sha256:8ec5995e4de52c3914ed7f1871560153d92b10d0cced2812e6f57ea4f7916096","target":"graph","created_at":"2026-05-18T04:23:34Z","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 cycle class map cl_{r,m} : CH^r(U,m;\\Q) \\to \\Gamma H^{2r-m}(U,\\Q(r)), where CH^r(U,m;\\Q) is Bloch's higher Chow group (tensored with \\Q) of a smooth complex quasi-projective variety U, and H^{2r-m}(U,\\Q(r)) is singular cohomology. We study the image of cl_{r,m} in terms of kernels of Abel-Jacobi maps. When r=m, we deduce from the Bloch-Kato theorem that the cokernel of cl_{r,m} at the generic point of U is the same for integral or rational coefficients.","authors_text":"James D. Lewis, Rob de Jeu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-21T22:54:42Z","title":"Beilinson's Hodge conjecture for smooth varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4364","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:c28d99911392b63eaa978c40add12ea44b5fc09cc920f9a833f1acc8d9edb997","target":"record","created_at":"2026-05-18T04:23:34Z","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":"954e5ed975423f9d6da62208f42847018e5bf5aa932325fec637191545b6f7bd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-04-21T22:54:42Z","title_canon_sha256":"19cce5843555ea002da80ec93f61edcffa6fbb24051b09baeadf348023475ef2"},"schema_version":"1.0","source":{"id":"1104.4364","kind":"arxiv","version":1}},"canonical_sha256":"25494d51e8f704d853ef55927fa3374278795fcfea53cfb1915a3a9ff49c5302","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"25494d51e8f704d853ef55927fa3374278795fcfea53cfb1915a3a9ff49c5302","first_computed_at":"2026-05-18T04:23:34.786148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:23:34.786148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2RW6ZlU+x9Wqsmf2qcVk97FF07hD7BeJej724WmIkw1oCcvSaJ2aVdqPU0h4lIoaBHzqZ1lJRmtI0SODJ+CnBg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:23:34.786722Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4364","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c28d99911392b63eaa978c40add12ea44b5fc09cc920f9a833f1acc8d9edb997","sha256:8ec5995e4de52c3914ed7f1871560153d92b10d0cced2812e6f57ea4f7916096"],"state_sha256":"83872736df5417812a4cad2df964c1e749cbea51d6bbb96a6056e5e9ca073cca"}