{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:QUPE3XVQTA6H3R3DTEJ5S7TQDC","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":"4a7004e220d7db73c65f4fb6b990807ea277945c06ca306d562cf1fda91a35f8","cross_cats_sorted":["math.CT","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2022-08-22T03:52:42Z","title_canon_sha256":"2749dbe09a6b6079721f42074943328a59a522fc9c8e578d2a991b8707160c45"},"schema_version":"1.0","source":{"id":"2208.10042","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.10042","created_at":"2026-07-05T04:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"2208.10042v1","created_at":"2026-07-05T04:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.10042","created_at":"2026-07-05T04:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"QUPE3XVQTA6H","created_at":"2026-07-05T04:50:24Z"},{"alias_kind":"pith_short_16","alias_value":"QUPE3XVQTA6H3R3D","created_at":"2026-07-05T04:50:24Z"},{"alias_kind":"pith_short_8","alias_value":"QUPE3XVQ","created_at":"2026-07-05T04:50:24Z"}],"graph_snapshots":[{"event_id":"sha256:d21db73b936cb757cd5189c3c2a87c119636c67d5d48a86f085314c8871a0b3f","target":"graph","created_at":"2026-07-05T04:50:24Z","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/2208.10042/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Murray, Roberts and Wockel showed that there is no strict model of the string 2-group using the free loop group. Instead, they construct the next best thing, a coherent model for the string 2-group using the free loop group, with explicit formulas for all structure. Based on their expectations, we build a category of 2-representations for coherent Lie 2-groups and some concrete examples. We also discuss the relation between this category of 2-representations and the category of representations. In addition, we construct a model of equivariant 2-vector bundles. At the end, we discuss the adjoin","authors_text":"Zhen Huan","cross_cats":["math.CT","math.DG"],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2022-08-22T03:52:42Z","title":"2-Representations of Lie 2-groups and 2-Vector Bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.10042","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":"sha256:0f1dcdef1f3867b2ab586e2937a01664e2af03e7f7f5d93f8402367745cd4e8f","target":"record","created_at":"2026-07-05T04:50:24Z","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":"4a7004e220d7db73c65f4fb6b990807ea277945c06ca306d562cf1fda91a35f8","cross_cats_sorted":["math.CT","math.DG"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.AT","submitted_at":"2022-08-22T03:52:42Z","title_canon_sha256":"2749dbe09a6b6079721f42074943328a59a522fc9c8e578d2a991b8707160c45"},"schema_version":"1.0","source":{"id":"2208.10042","kind":"arxiv","version":1}},"canonical_sha256":"851e4ddeb0983c7dc7639913d97e7018bad0c9e8366fb526c6e685cd67a57ca6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"851e4ddeb0983c7dc7639913d97e7018bad0c9e8366fb526c6e685cd67a57ca6","first_computed_at":"2026-07-05T04:50:24.678472Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:50:24.678472Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"eio0JVsH2VrAY34X6xX8VhPGtuTcALQZN8bh2sbKDkhAKnADV5DfFfR65bix66xsvesFmwAZ1yH2V+7b3+PyCA==","signature_status":"signed_v1","signed_at":"2026-07-05T04:50:24.678839Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.10042","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0f1dcdef1f3867b2ab586e2937a01664e2af03e7f7f5d93f8402367745cd4e8f","sha256:d21db73b936cb757cd5189c3c2a87c119636c67d5d48a86f085314c8871a0b3f"],"state_sha256":"265f6ed1debdce62d8f9c0737944ec376929c00e3e1e722975a9b92850f86289"}