{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:BPDFWUXWRGWJPZEHL5R4EAPTHU","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":"a04bc8eb9b2b28f70cadab92fab67b717851e7a613633f7c5dd89c9af9053bf3","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-06-03T13:19:10Z","title_canon_sha256":"f842cd0cd3eeb174eeadb1a5e793afadb5722721187da3df1e90f47f9bb1fafa"},"schema_version":"1.0","source":{"id":"2206.01556","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2206.01556","created_at":"2026-07-05T11:21:28Z"},{"alias_kind":"arxiv_version","alias_value":"2206.01556v3","created_at":"2026-07-05T11:21:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2206.01556","created_at":"2026-07-05T11:21:28Z"},{"alias_kind":"pith_short_12","alias_value":"BPDFWUXWRGWJ","created_at":"2026-07-05T11:21:28Z"},{"alias_kind":"pith_short_16","alias_value":"BPDFWUXWRGWJPZEH","created_at":"2026-07-05T11:21:28Z"},{"alias_kind":"pith_short_8","alias_value":"BPDFWUXW","created_at":"2026-07-05T11:21:28Z"}],"graph_snapshots":[{"event_id":"sha256:c41fd71fc0df1abbae81c20411723fc882518fdc4c215f5c4998bad7d03b4038","target":"graph","created_at":"2026-07-05T11:21:28Z","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/2206.01556/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We provide new $\\infty$-categorical models for unstable and stable global homotopy theory. We use the notion of partially lax limits to formalize the idea that a global object is a collection of $G$-objects, one for each compact Lie group $G$, which are compatible with the restriction-inflation functors. More precisely, we show that the $\\infty$-category of global spaces is equivalent to a partially lax limit of the functor sending a compact Lie group $G$ to the $\\infty$-category of $G$-spaces. We also prove the stable version of this result, showing that the $\\infty$-category of global spectr","authors_text":"Denis Nardin, Luca Pol, Sil Linskens","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-06-03T13:19:10Z","title":"Global homotopy theory via partially lax limits"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2206.01556","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:c087a665af149412ca838b622944cd921c70504e6b31bdf7f245da0fc40fe66d","target":"record","created_at":"2026-07-05T11:21:28Z","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":"a04bc8eb9b2b28f70cadab92fab67b717851e7a613633f7c5dd89c9af9053bf3","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2022-06-03T13:19:10Z","title_canon_sha256":"f842cd0cd3eeb174eeadb1a5e793afadb5722721187da3df1e90f47f9bb1fafa"},"schema_version":"1.0","source":{"id":"2206.01556","kind":"arxiv","version":3}},"canonical_sha256":"0bc65b52f689ac97e4875f63c201f33d066d7840bf521037f9286195a44603c6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0bc65b52f689ac97e4875f63c201f33d066d7840bf521037f9286195a44603c6","first_computed_at":"2026-07-05T11:21:28.554008Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:21:28.554008Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/wm3CZLemxtlPeDdFhNJWiHa5cgwGl5R5MK6iIru0yJ1P/ESnxBcWbsgYI50/mU6W/ZrzKk95oL7eAE2sftiDg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:21:28.554422Z","signed_message":"canonical_sha256_bytes"},"source_id":"2206.01556","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c087a665af149412ca838b622944cd921c70504e6b31bdf7f245da0fc40fe66d","sha256:c41fd71fc0df1abbae81c20411723fc882518fdc4c215f5c4998bad7d03b4038"],"state_sha256":"e20980e9f3624020462739e74e75b9e72168d9b6bcfe20e2d9d44c9db3670ebc"}