{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1994:T2MCU7AJTTC3FFASJMSY3A2BB7","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":"971d25e68dc737b9dc5ada208bee7a1b9e91d241a21d8517569656ce5185bced","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1994-12-07T09:52:43Z","title_canon_sha256":"2ea34a9695193a862b69d6bd0792173196b575064e09bb9a9dd14458adb881d0"},"schema_version":"1.0","source":{"id":"alg-geom/9412006","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"alg-geom/9412006","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"arxiv_version","alias_value":"alg-geom/9412006v1","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.alg-geom/9412006","created_at":"2026-05-18T01:20:37Z"},{"alias_kind":"pith_short_12","alias_value":"T2MCU7AJTTC3","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"T2MCU7AJTTC3FFAS","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"T2MCU7AJ","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:1cae2be61cd79fa99435522b06bea977c5a564240bb81bcff06c7f06d9cc90de","target":"graph","created_at":"2026-05-18T01:20:37Z","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 are showing that the Deligne--Beilinson cohomology sheaves ${\\cal H}^{q+1}({\\bf Z}(q)_{\\cal D})$ are torsion free by assuming Kato's conjectures hold true for function fields. This result is `effective' for $q=2$; in this case, by dealing with `arithmetic properties' of the presheaves of mixed Hodge structures defined by singular cohomology, we are able to give a cohomological characterization of the Albanese kernel for surfaces with $p_g=0$.","authors_text":"Luca Barbieri-Viale","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"alg-geom","submitted_at":"1994-12-07T09:52:43Z","title":"On the Deligne--Beilinson cohomology sheaves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"alg-geom/9412006","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":"sha256:6fa488b11ebe3120d47edb7d3db2779665a4cad0d80d71431137cc22a136d47d","target":"record","created_at":"2026-05-18T01:20:37Z","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":"971d25e68dc737b9dc5ada208bee7a1b9e91d241a21d8517569656ce5185bced","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"alg-geom","submitted_at":"1994-12-07T09:52:43Z","title_canon_sha256":"2ea34a9695193a862b69d6bd0792173196b575064e09bb9a9dd14458adb881d0"},"schema_version":"1.0","source":{"id":"alg-geom/9412006","kind":"arxiv","version":1}},"canonical_sha256":"9e982a7c099cc5b294124b258d83410ff9e7ec8adf32d8352daf078b16e6ce5d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9e982a7c099cc5b294124b258d83410ff9e7ec8adf32d8352daf078b16e6ce5d","first_computed_at":"2026-05-18T01:20:37.343425Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:37.343425Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PW6X4QCr1hr798Dwm3r67KUfu1v1fhY8hsaw3W0A8EEfT4D6z9LNuv9pNPmsOfiJmo1Ct+C9Wg76iAEdDJ/gDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:37.343930Z","signed_message":"canonical_sha256_bytes"},"source_id":"alg-geom/9412006","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fa488b11ebe3120d47edb7d3db2779665a4cad0d80d71431137cc22a136d47d","sha256:1cae2be61cd79fa99435522b06bea977c5a564240bb81bcff06c7f06d9cc90de"],"state_sha256":"bb8d98a62983088a2d6c87e24c90b247a028be3df054771575fef5aebece5368"}