{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2025:QRGY6WGQPQLUUEORSWQJJVRUGW","short_pith_number":"pith:QRGY6WGQ","schema_version":"1.0","canonical_sha256":"844d8f58d07c174a11d195a094d63435b619fe64b5f3f756554c5b346c58bec7","source":{"kind":"arxiv","id":"2506.21259","version":1},"attestation_state":"computed","paper":{"title":"An isovariant Blakers--Massey theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Inbar Klang, Sarah Yeakel","submitted_at":"2025-06-26T13:41:01Z","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."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2506.21259","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2025-06-26T13:41:01Z","cross_cats_sorted":[],"title_canon_sha256":"2f5752314d563935384f8a97477fd64aea7b024041d95c11d062de83ed642d7c","abstract_canon_sha256":"c381887d818d120204047a8891c590b25e7ab471fd904a70b5ac015efedbf4e9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:27:42.394136Z","signature_b64":"9VcEe+UpHztKSg32FZC+hxUm4vp4gL3Jn/gk2yrjoVYqhp7+QW9kBrH8kdpBWkqTfgYemXV0DdG6T8XlG+9/Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"844d8f58d07c174a11d195a094d63435b619fe64b5f3f756554c5b346c58bec7","last_reissued_at":"2026-07-05T11:27:42.393723Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:27:42.393723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"An isovariant Blakers--Massey theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AT","authors_text":"Inbar Klang, Sarah Yeakel","submitted_at":"2025-06-26T13:41:01Z","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."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.21259","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2506.21259/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2506.21259","created_at":"2026-07-05T11:27:42.393786+00:00"},{"alias_kind":"arxiv_version","alias_value":"2506.21259v1","created_at":"2026-07-05T11:27:42.393786+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.21259","created_at":"2026-07-05T11:27:42.393786+00:00"},{"alias_kind":"pith_short_12","alias_value":"QRGY6WGQPQLU","created_at":"2026-07-05T11:27:42.393786+00:00"},{"alias_kind":"pith_short_16","alias_value":"QRGY6WGQPQLUUEOR","created_at":"2026-07-05T11:27:42.393786+00:00"},{"alias_kind":"pith_short_8","alias_value":"QRGY6WGQ","created_at":"2026-07-05T11:27:42.393786+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW","json":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW.json","graph_json":"https://pith.science/api/pith-number/QRGY6WGQPQLUUEORSWQJJVRUGW/graph.json","events_json":"https://pith.science/api/pith-number/QRGY6WGQPQLUUEORSWQJJVRUGW/events.json","paper":"https://pith.science/paper/QRGY6WGQ"},"agent_actions":{"view_html":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW","download_json":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW.json","view_paper":"https://pith.science/paper/QRGY6WGQ","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2506.21259&json=true","fetch_graph":"https://pith.science/api/pith-number/QRGY6WGQPQLUUEORSWQJJVRUGW/graph.json","fetch_events":"https://pith.science/api/pith-number/QRGY6WGQPQLUUEORSWQJJVRUGW/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW/action/timestamp_anchor","attest_storage":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW/action/storage_attestation","attest_author":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW/action/author_attestation","sign_citation":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW/action/citation_signature","submit_replication":"https://pith.science/pith/QRGY6WGQPQLUUEORSWQJJVRUGW/action/replication_record"}},"created_at":"2026-07-05T11:27:42.393786+00:00","updated_at":"2026-07-05T11:27:42.393786+00:00"}