{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:J2Z5IKNEPJDOT4IVZIS5IWZ3LJ","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":"026ff8daa0b612cfb8f542e9d3f20b33cfd9a96ab390d85070f3092e8b8b9960","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-04-21T18:29:38Z","title_canon_sha256":"393e5f4a1c622a375e8cd50f1de42f10c24fe0afb0a99f042cb45a8c28b450bd"},"schema_version":"1.0","source":{"id":"1604.06410","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06410","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06410v4","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06410","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_12","alias_value":"J2Z5IKNEPJDO","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_16","alias_value":"J2Z5IKNEPJDOT4IV","created_at":"2026-07-05T01:35:18Z"},{"alias_kind":"pith_short_8","alias_value":"J2Z5IKNE","created_at":"2026-07-05T01:35:18Z"}],"graph_snapshots":[{"event_id":"sha256:7aff7981a8aab04284511317af69e1890564f2ac7d91ac07944a145a1ef5baa0","target":"graph","created_at":"2026-07-05T01:35:18Z","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/1604.06410/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct geometric models for classifying spaces of linear algebraic groups in G-equivariant motivic homotopy theory, where G is a tame group scheme. As a consequence, we show that the equivariant motivic spectrum representing the homotopy K-theory of G-schemes (which we construct as an E-infinity-ring) is stable under arbitrary base change, and we deduce that homotopy K-theory of G-schemes satisfies cdh descent.","authors_text":"Marc Hoyois","cross_cats":["math.AG","math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-04-21T18:29:38Z","title":"Cdh descent in equivariant homotopy K-theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06410","kind":"arxiv","version":4},"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:f6bc1a76405df94851d659366e61837686884b10539843cecc8fe9fec40f692a","target":"record","created_at":"2026-07-05T01:35:18Z","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":"026ff8daa0b612cfb8f542e9d3f20b33cfd9a96ab390d85070f3092e8b8b9960","cross_cats_sorted":["math.AG","math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2016-04-21T18:29:38Z","title_canon_sha256":"393e5f4a1c622a375e8cd50f1de42f10c24fe0afb0a99f042cb45a8c28b450bd"},"schema_version":"1.0","source":{"id":"1604.06410","kind":"arxiv","version":4}},"canonical_sha256":"4eb3d429a47a46e9f115ca25d45b3b5a53854e943736f6d586208dfb79d03023","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4eb3d429a47a46e9f115ca25d45b3b5a53854e943736f6d586208dfb79d03023","first_computed_at":"2026-07-05T01:35:18.358251Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:35:18.358251Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"a96xc/+PjdwWWsdc2CkajGZnEFvx64UonRSGpP7fRwjG8NXCvNyNK3UPj3Yl8p8KsbvhLSSgTXuvF1mbxuEWAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T01:35:18.358692Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06410","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f6bc1a76405df94851d659366e61837686884b10539843cecc8fe9fec40f692a","sha256:7aff7981a8aab04284511317af69e1890564f2ac7d91ac07944a145a1ef5baa0"],"state_sha256":"7ebe124a7dbe5dba63e7adc7015a5d35189267e23ece128188a4e69bc6c9439e"}