{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:KJ7AXYOL7LYLWGN5RREO66C62H","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":"1d238835143d6ed1f18d1b319809abfb5c8bcbb02aaa3905861e479bf2284b98","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-04-11T18:16:18Z","title_canon_sha256":"049f1600825269e014a3f08fe580507b96d4c2bbda0dd4471eb598697eca7c21"},"schema_version":"1.0","source":{"id":"1704.03483","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.03483","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"arxiv_version","alias_value":"1704.03483v2","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.03483","created_at":"2026-05-18T00:19:35Z"},{"alias_kind":"pith_short_12","alias_value":"KJ7AXYOL7LYL","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_16","alias_value":"KJ7AXYOL7LYLWGN5","created_at":"2026-05-18T12:31:24Z"},{"alias_kind":"pith_short_8","alias_value":"KJ7AXYOL","created_at":"2026-05-18T12:31:24Z"}],"graph_snapshots":[{"event_id":"sha256:fd2e55349e535e58739267567d3f058586cbd4aff7abb2ffda25a6c577e40e4a","target":"graph","created_at":"2026-05-18T00:19:35Z","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":"A rigidity property for the homotopy invariant stable linear framed presheaves is established. As a consequence a variant of Gabber rigidity theorem is obtained for a cohomology theory representable in the motivic stable homotopy category by a $\\phi$-torsion spectrum with $\\phi\\in\\mathrm{GW}(k)$ of rank coprime to the (exponential) characteristic of the base field $k$. It is shown that the values of such cohomology theories at an essentially smooth Henselian ring and its residue field coincide. The result is applicable to cohomology theories representable by $n$-torsion spectra as well as to t","authors_text":"Alexey Ananyevskiy, Andrei Druzhinin","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-04-11T18:16:18Z","title":"Rigidity for linear framed presheaves and generalized motivic cohomology theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.03483","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":"sha256:686edf0b6fddcd2950861526edfd6d2d532a7fd988f94df6416a75bbd47804fa","target":"record","created_at":"2026-05-18T00:19:35Z","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":"1d238835143d6ed1f18d1b319809abfb5c8bcbb02aaa3905861e479bf2284b98","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2017-04-11T18:16:18Z","title_canon_sha256":"049f1600825269e014a3f08fe580507b96d4c2bbda0dd4471eb598697eca7c21"},"schema_version":"1.0","source":{"id":"1704.03483","kind":"arxiv","version":2}},"canonical_sha256":"527e0be1cbfaf0bb19bd8c48ef785ed1f7517ff51f59a2b1d9647bf28921c1bb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"527e0be1cbfaf0bb19bd8c48ef785ed1f7517ff51f59a2b1d9647bf28921c1bb","first_computed_at":"2026-05-18T00:19:35.802971Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:19:35.802971Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"j9lyYOBBwRMIJFJpvN+jRX/rOc5dIwoGsDhY8NTu2NmeUQhjTDNJdSqBjlns5p1yVGPEKMHKUwKDjCgFR/8mBA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:19:35.803635Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.03483","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:686edf0b6fddcd2950861526edfd6d2d532a7fd988f94df6416a75bbd47804fa","sha256:fd2e55349e535e58739267567d3f058586cbd4aff7abb2ffda25a6c577e40e4a"],"state_sha256":"16f49da029206b7114e613d1f5f9581a94f9bd2aea238f4d519083025599fb29"}