{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:3YJFEX2CTXUQOEZAZZSIJK2Y4U","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":"b58b8d0c621d8aae96414b7bb78bc1431c6c9b28a20e76d5c614e2b12a10d010","cross_cats_sorted":["hep-th","math.CT","math.DG","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2021-12-27T13:25:59Z","title_canon_sha256":"6e34b0ba0cbf4e6de068ba2c1c327b02e8d8922fab7474cd975d299998b69491"},"schema_version":"1.0","source":{"id":"2112.13654","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2112.13654","created_at":"2026-07-05T04:48:40Z"},{"alias_kind":"arxiv_version","alias_value":"2112.13654v3","created_at":"2026-07-05T04:48:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2112.13654","created_at":"2026-07-05T04:48:40Z"},{"alias_kind":"pith_short_12","alias_value":"3YJFEX2CTXUQ","created_at":"2026-07-05T04:48:40Z"},{"alias_kind":"pith_short_16","alias_value":"3YJFEX2CTXUQOEZA","created_at":"2026-07-05T04:48:40Z"},{"alias_kind":"pith_short_8","alias_value":"3YJFEX2C","created_at":"2026-07-05T04:48:40Z"}],"graph_snapshots":[{"event_id":"sha256:9545d403cdf5cc3983d9178ce57897beec269a37f5726a7edd19369571030138","target":"graph","created_at":"2026-07-05T04:48:40Z","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/2112.13654/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this book we prove unified classification results for equivariant principal bundles when the topological structure group is truncated. The conceptually transparent proof invokes a smooth Oka principle, which becomes available after faithfully embedding traditional equivariant topology into the singular-cohesive homotopy theory of globally equivariant higher smooth stacks. This works for discrete equivariance groups acting properly on smooth manifolds with resolvable singularities, whence we are equivalently describing principal bundles on good orbifolds.\n  In preparation, we re-develop the ","authors_text":"Hisham Sati, Urs Schreiber","cross_cats":["hep-th","math.CT","math.DG","math.GR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2021-12-27T13:25:59Z","title":"Equivariant principal infinity-bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2112.13654","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":"sha256:0531ee79e96cff53b1642414b8fa3ed53fb2b389cd2b74b8d0273c8f56544e0c","target":"record","created_at":"2026-07-05T04:48:40Z","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":"b58b8d0c621d8aae96414b7bb78bc1431c6c9b28a20e76d5c614e2b12a10d010","cross_cats_sorted":["hep-th","math.CT","math.DG","math.GR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2021-12-27T13:25:59Z","title_canon_sha256":"6e34b0ba0cbf4e6de068ba2c1c327b02e8d8922fab7474cd975d299998b69491"},"schema_version":"1.0","source":{"id":"2112.13654","kind":"arxiv","version":3}},"canonical_sha256":"de12525f429de9071320ce6484ab58e5105fcc1dc210285f8ae5af483eef6425","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"de12525f429de9071320ce6484ab58e5105fcc1dc210285f8ae5af483eef6425","first_computed_at":"2026-07-05T04:48:40.522193Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:48:40.522193Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cjBSpQaPa5yoWACG7W91BzjPs7oOXxsjv78+mTc0IkojADzA9TkWLHwrHVPUccfgAlhwQZ8D7Ki55IROQgpgAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:48:40.522657Z","signed_message":"canonical_sha256_bytes"},"source_id":"2112.13654","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0531ee79e96cff53b1642414b8fa3ed53fb2b389cd2b74b8d0273c8f56544e0c","sha256:9545d403cdf5cc3983d9178ce57897beec269a37f5726a7edd19369571030138"],"state_sha256":"fb026e5928a5f8818bfa55e6035964869290906fbf7a94c3b2704966f79fadfa"}