{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ZEKRBEQK47NZN6JAZGGUE7HX3X","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":"17cb281813b0b9aef286bc8381fe424b23d8c0bf9dfb9a25474696fb75338cda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T08:46:30Z","title_canon_sha256":"7a86baf92622afdd0bddca9da1a5c2a914644a31bbafd03f0c4bb876030b5153"},"schema_version":"1.0","source":{"id":"2606.09212","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09212","created_at":"2026-06-09T02:08:07Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09212v1","created_at":"2026-06-09T02:08:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09212","created_at":"2026-06-09T02:08:07Z"},{"alias_kind":"pith_short_12","alias_value":"ZEKRBEQK47NZ","created_at":"2026-06-09T02:08:07Z"},{"alias_kind":"pith_short_16","alias_value":"ZEKRBEQK47NZN6JA","created_at":"2026-06-09T02:08:07Z"},{"alias_kind":"pith_short_8","alias_value":"ZEKRBEQK","created_at":"2026-06-09T02:08:07Z"}],"graph_snapshots":[{"event_id":"sha256:fe89439ef8b9a9b2b7d5f6dc4df9bf8248d9c8a40e770160f87036ba30e31834","target":"graph","created_at":"2026-06-09T02:08:07Z","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/2606.09212/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In the first half of this paper, we describe the homotopy groups of the equivariant automorphism group of Kirchberg algebras with isometrically shift-absorbing actions of compact groups in terms of equivariant KK-theory. This provides an equivariant version of Dadarlat's result. In the second half, we present a unified treatment of the equivariant Dadarlat-Pennig theory for strongly self-absorbing actions.","authors_text":"Hiroro Kamikawa","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T08:46:30Z","title":"The homotopy groups of the equivariant automorphism group of Kirchberg algebras with compact group actions and equivariant Dadarlat-Pennig theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09212","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":"sha256:664fa240795ed7d02046070dbfef0ff19d9939a794a059acaa2b34d336a9ec7b","target":"record","created_at":"2026-06-09T02:08:07Z","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":"17cb281813b0b9aef286bc8381fe424b23d8c0bf9dfb9a25474696fb75338cda","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2026-06-08T08:46:30Z","title_canon_sha256":"7a86baf92622afdd0bddca9da1a5c2a914644a31bbafd03f0c4bb876030b5153"},"schema_version":"1.0","source":{"id":"2606.09212","kind":"arxiv","version":1}},"canonical_sha256":"c91510920ae7db96f920c98d427cf7ddccbaa6a344bc5bbe8e83561fda2334e0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c91510920ae7db96f920c98d427cf7ddccbaa6a344bc5bbe8e83561fda2334e0","first_computed_at":"2026-06-09T02:08:07.547270Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:08:07.547270Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KfhLv3iSxKwhIJUjyGPullG0Q8FIv5k1U7Dl9WLrDeKyGIy9JJCGBvU1k4uKfWS93nbamjKmVWxDiNQavCJLAQ==","signature_status":"signed_v1","signed_at":"2026-06-09T02:08:07.548212Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.09212","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:664fa240795ed7d02046070dbfef0ff19d9939a794a059acaa2b34d336a9ec7b","sha256:fe89439ef8b9a9b2b7d5f6dc4df9bf8248d9c8a40e770160f87036ba30e31834"],"state_sha256":"62ac3c9e60e4a61e18504217a62741ffaae9b3644e13142372740e035592ece5"}