{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:O4Q3SUIJFXBYOWBEHCZUDGI3SB","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":"0804a39eb61a08d3cc0180e2d4733c4eb22f9b0401be49c1921b1cd53b9094fa","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-28T23:06:20Z","title_canon_sha256":"42f93823bb47f9fd75c865fa65ad5fed0cdcc829a22f9430dad2f7bef1ebb18a"},"schema_version":"1.0","source":{"id":"1707.09436","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1707.09436","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"arxiv_version","alias_value":"1707.09436v1","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1707.09436","created_at":"2026-05-18T00:39:11Z"},{"alias_kind":"pith_short_12","alias_value":"O4Q3SUIJFXBY","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_16","alias_value":"O4Q3SUIJFXBYOWBE","created_at":"2026-05-18T12:31:34Z"},{"alias_kind":"pith_short_8","alias_value":"O4Q3SUIJ","created_at":"2026-05-18T12:31:34Z"}],"graph_snapshots":[{"event_id":"sha256:01a95d3995c5ea3e87d358dc3408ef5ce67f762c8e71c3acdee9c06037a32158","target":"graph","created_at":"2026-05-18T00:39:11Z","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 construct the equivariant version of cd-structures, and we develop descent theory for topologies comes from equivariant cd-structures. In particular, we reprove several results of Cisinski-D\\'eglies on the \\'etale descent, qfh-descent, and h-descent. Since the \\'etale topos, qfh-topos, and h-topos do not come from usual cd-structures, such results cannot be produced by usual cd-structures. We also apply equivariant cd-structures to study several topologies on the category of noetherian fs log schemes.","authors_text":"Doosung Park","cross_cats":["math.KT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-28T23:06:20Z","title":"Equivariant cd-structures and descent theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.09436","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":"sha256:64cca01fe207936cdd2c9543e48c159d91628656ca584003781f6bd646bb8c1d","target":"record","created_at":"2026-05-18T00:39:11Z","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":"0804a39eb61a08d3cc0180e2d4733c4eb22f9b0401be49c1921b1cd53b9094fa","cross_cats_sorted":["math.KT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-07-28T23:06:20Z","title_canon_sha256":"42f93823bb47f9fd75c865fa65ad5fed0cdcc829a22f9430dad2f7bef1ebb18a"},"schema_version":"1.0","source":{"id":"1707.09436","kind":"arxiv","version":1}},"canonical_sha256":"7721b951092dc387582438b341991b904cf1d6d6e5e3738af9fb6cdde296ef97","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7721b951092dc387582438b341991b904cf1d6d6e5e3738af9fb6cdde296ef97","first_computed_at":"2026-05-18T00:39:11.275759Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:39:11.275759Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7PO/DzensycAroXYVz23ymWW0n3xL9EpEbjY4d6wKBPvq60qUWV9BQhPR1SC55IpFyxJBOmXbpYU53H65M5ICQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:39:11.276441Z","signed_message":"canonical_sha256_bytes"},"source_id":"1707.09436","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64cca01fe207936cdd2c9543e48c159d91628656ca584003781f6bd646bb8c1d","sha256:01a95d3995c5ea3e87d358dc3408ef5ce67f762c8e71c3acdee9c06037a32158"],"state_sha256":"e6ca5934c93bb8f5d0df3b6368e7e4fa20f54ce832513c842159063aac415b8f"}