{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QRGY6WGQPQLUUEORSWQJJVRUGW","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":"c381887d818d120204047a8891c590b25e7ab471fd904a70b5ac015efedbf4e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-06-26T13:41:01Z","title_canon_sha256":"2f5752314d563935384f8a97477fd64aea7b024041d95c11d062de83ed642d7c"},"schema_version":"1.0","source":{"id":"2506.21259","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.21259","created_at":"2026-07-05T11:27:42Z"},{"alias_kind":"arxiv_version","alias_value":"2506.21259v1","created_at":"2026-07-05T11:27:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.21259","created_at":"2026-07-05T11:27:42Z"},{"alias_kind":"pith_short_12","alias_value":"QRGY6WGQPQLU","created_at":"2026-07-05T11:27:42Z"},{"alias_kind":"pith_short_16","alias_value":"QRGY6WGQPQLUUEOR","created_at":"2026-07-05T11:27:42Z"},{"alias_kind":"pith_short_8","alias_value":"QRGY6WGQ","created_at":"2026-07-05T11:27:42Z"}],"graph_snapshots":[{"event_id":"sha256:a296717f50da9113b96f52df5439d35827d82e7883655393c4cc93be1a557846","target":"graph","created_at":"2026-07-05T11:27:42Z","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/2506.21259/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An isovariant map is an equivariant map between $G$-spaces which strictly preserves isotropy groups. In this paper, we lay the groundwork for the study of isovariant stable homotopy theory. We prove an isovariant Blakers--Massey theorem and its $n$-cubical generalization, define a suitable notion of suspension (by a trivial representation sphere) in the isovariant category, and prove an isovariant Freudenthal suspension theorem.","authors_text":"Inbar Klang, Sarah Yeakel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-06-26T13:41:01Z","title":"An isovariant Blakers--Massey theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.21259","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":"sha256:30686ea6cf5f57cf0a51828c1491cacc5c8e55dcfbce239fb3ae50753afb6067","target":"record","created_at":"2026-07-05T11:27:42Z","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":"c381887d818d120204047a8891c590b25e7ab471fd904a70b5ac015efedbf4e9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-06-26T13:41:01Z","title_canon_sha256":"2f5752314d563935384f8a97477fd64aea7b024041d95c11d062de83ed642d7c"},"schema_version":"1.0","source":{"id":"2506.21259","kind":"arxiv","version":1}},"canonical_sha256":"844d8f58d07c174a11d195a094d63435b619fe64b5f3f756554c5b346c58bec7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"844d8f58d07c174a11d195a094d63435b619fe64b5f3f756554c5b346c58bec7","first_computed_at":"2026-07-05T11:27:42.393723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:27:42.393723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9VcEe+UpHztKSg32FZC+hxUm4vp4gL3Jn/gk2yrjoVYqhp7+QW9kBrH8kdpBWkqTfgYemXV0DdG6T8XlG+9/Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T11:27:42.394136Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.21259","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:30686ea6cf5f57cf0a51828c1491cacc5c8e55dcfbce239fb3ae50753afb6067","sha256:a296717f50da9113b96f52df5439d35827d82e7883655393c4cc93be1a557846"],"state_sha256":"508c8efc5a5c1c4775de31e2c37936d17ca4e11e79a527cd54a27227239e5143"}