{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:4YOJPG2BKGLSUVVEZGERVAHHYB","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":"40bfb6fa4f297123af29366024a1e3f15e5a00ad260b9afb427adfbfc5faee06","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-09-08T11:27:06Z","title_canon_sha256":"2135263addcee5ec9f6bd0441fcae88f86035d834e9248f591843dd9d2018263"},"schema_version":"1.0","source":{"id":"2209.03720","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2209.03720","created_at":"2026-07-05T07:37:37Z"},{"alias_kind":"arxiv_version","alias_value":"2209.03720v2","created_at":"2026-07-05T07:37:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2209.03720","created_at":"2026-07-05T07:37:37Z"},{"alias_kind":"pith_short_12","alias_value":"4YOJPG2BKGLS","created_at":"2026-07-05T07:37:37Z"},{"alias_kind":"pith_short_16","alias_value":"4YOJPG2BKGLSUVVE","created_at":"2026-07-05T07:37:37Z"},{"alias_kind":"pith_short_8","alias_value":"4YOJPG2B","created_at":"2026-07-05T07:37:37Z"}],"graph_snapshots":[{"event_id":"sha256:f44a053f6964a4aabf31f5684f0d7b2360c87c35f0ba193d1fa0de8d3526aeb7","target":"graph","created_at":"2026-07-05T07:37:37Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2209.03720/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For each fs log scheme $(X,\\mathcal M_X)$ over a field $k$ we construct a geometrical Voevodsky motive $[X]^{log}\\in DM_{gm}(k,\\mathbb Q)$. We prove that, for $k=\\mathbb C$, the Betti realization of $[X]^{log}$ is the log Betti cohomology of $(X, \\mathcal M_X)$. We give applications to motivic tubular neighborhoods, limit motives and the monodromy filtrations.","authors_text":"Georgii Shuklin","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-09-08T11:27:06Z","title":"A Voevodsky motive associated to a log scheme"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2209.03720","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":"sha256:9816882b8883a18e7d5a41f153159907c96dc1cab60b8b7c3d0edaa474f7ef39","target":"record","created_at":"2026-07-05T07:37:37Z","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":"40bfb6fa4f297123af29366024a1e3f15e5a00ad260b9afb427adfbfc5faee06","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AG","submitted_at":"2022-09-08T11:27:06Z","title_canon_sha256":"2135263addcee5ec9f6bd0441fcae88f86035d834e9248f591843dd9d2018263"},"schema_version":"1.0","source":{"id":"2209.03720","kind":"arxiv","version":2}},"canonical_sha256":"e61c979b4151972a56a4c9891a80e7c05c46d5140f5a62aa2dfdd609b9b7d5b6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e61c979b4151972a56a4c9891a80e7c05c46d5140f5a62aa2dfdd609b9b7d5b6","first_computed_at":"2026-07-05T07:37:37.138027Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:37:37.138027Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"TGVlOe/zY6K7LQcJi3Wtdj4yBz0z7MTbbFsdyagFXB78ZzHibQKgYg4JL4gEjmlsNOmeTl+hi0wXOw+ycRtQDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T07:37:37.138502Z","signed_message":"canonical_sha256_bytes"},"source_id":"2209.03720","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9816882b8883a18e7d5a41f153159907c96dc1cab60b8b7c3d0edaa474f7ef39","sha256:f44a053f6964a4aabf31f5684f0d7b2360c87c35f0ba193d1fa0de8d3526aeb7"],"state_sha256":"06f4af3b9ff7a9549a19626d903a1e7b9e3ad69f100f0b6ec738ab3ce418e838"}