{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:LKICNIB4Y6DTAZ3E4BLVU3JROH","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":"8a28655235249f1f13b67cb008318e240b6e2f4c84cab2c12d92789853d6b001","cross_cats_sorted":["math.KT","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-08-23T19:52:23Z","title_canon_sha256":"aa1d8edde0ca9baa0ab5f29eda870a309f3ffd8fda94254418b969761c5190fb"},"schema_version":"1.0","source":{"id":"2408.13350","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2408.13350","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"arxiv_version","alias_value":"2408.13350v3","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2408.13350","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_12","alias_value":"LKICNIB4Y6DT","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_16","alias_value":"LKICNIB4Y6DTAZ3E","created_at":"2026-05-25T02:01:01Z"},{"alias_kind":"pith_short_8","alias_value":"LKICNIB4","created_at":"2026-05-25T02:01:01Z"}],"graph_snapshots":[{"event_id":"sha256:98646dc8a28035849c4a5b8654d4aa4d6ce7862795c48bec59ca9523cc33adb5","target":"graph","created_at":"2026-05-25T02:01:01Z","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/2408.13350/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A quasi-representation of a group is a map from the group into a matrix algebra (or similar object) that approximately satisfies the relations needed to be a representation. Work of many people starting with Kazhdan and Voiculescu, and recently advanced by Dadarlat, Eilers-Shulman-S\\o{}rensen and others, has shown that there are topological obstructions to approximating unitary quasi-representations of groups by honest representations, where `approximation' is understood to be with respect to the operator norm.\n  The purpose of this paper is to explore whether approximation is possible if the ","authors_text":"Rufus Willett","cross_cats":["math.KT","math.OA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-08-23T19:52:23Z","title":"Conditional representation stability, classification of $*$-homomorphisms, and relative eta invariants"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2408.13350","kind":"arxiv","version":3},"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":"sha256:2d305154411ef4053c3c24a2f62d927ae7274f7be5d0c11ec076d92470ace9f0","target":"record","created_at":"2026-05-25T02:01:01Z","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":"8a28655235249f1f13b67cb008318e240b6e2f4c84cab2c12d92789853d6b001","cross_cats_sorted":["math.KT","math.OA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GR","submitted_at":"2024-08-23T19:52:23Z","title_canon_sha256":"aa1d8edde0ca9baa0ab5f29eda870a309f3ffd8fda94254418b969761c5190fb"},"schema_version":"1.0","source":{"id":"2408.13350","kind":"arxiv","version":3}},"canonical_sha256":"5a9026a03cc787306764e0575a6d3171e0129c972e2e7f0792052107852c2091","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5a9026a03cc787306764e0575a6d3171e0129c972e2e7f0792052107852c2091","first_computed_at":"2026-05-25T02:01:01.359044Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-25T02:01:01.359044Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zAa850HISZMwicaN9vkjfhGHiNgakd7kWovURqPYnqKL0wN6L2aLWv4quI1+557vZ6YVdxVpxXlB1R14np7ACw==","signature_status":"signed_v1","signed_at":"2026-05-25T02:01:01.359650Z","signed_message":"canonical_sha256_bytes"},"source_id":"2408.13350","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d305154411ef4053c3c24a2f62d927ae7274f7be5d0c11ec076d92470ace9f0","sha256:98646dc8a28035849c4a5b8654d4aa4d6ce7862795c48bec59ca9523cc33adb5"],"state_sha256":"79ece7b53d7ca04da5821f185ed545d57a50aeb646c318e19d7436027033af0f"}