{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2019:HWMIZZT7FLPC74CCHX3INAYHY2","short_pith_number":"pith:HWMIZZT7","schema_version":"1.0","canonical_sha256":"3d988ce67f2ade2ff0423df6868307c69d36d387d39fbe32f61d2911715419d4","source":{"kind":"arxiv","id":"1911.05141","version":1},"attestation_state":"computed","paper":{"title":"A 2-Site for Continuous 2-Group Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Michael Lambert","submitted_at":"2019-11-12T21:03:55Z","abstract_excerpt":"Elmendorf's Theorem states that the category of continuous actions of a topological group is a Grothendieck topos in the sense that it is equivalent to a category of sheaves on a site. This paper offers a 2-dimensional generalization by showing that a certain 2-category of continuous actions of a topological 2-group is 2-equivalent to a 2-category of 2-sheaves on a suitable 2-site."},"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":"1911.05141","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2019-11-12T21:03:55Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"0ef138b9a3ae7b0d221ca3165a9fb02336a58824c5d67b46c38c619389b458de","abstract_canon_sha256":"5056b516ac1f7a4c926d4e0ae4a4a0828eb884d42d97f29beb7b6dfffc99af55"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T00:18:54.347971Z","signature_b64":"gZbpRCFC5gj/pkHccJ5MSTwrtCHP3Dpsg69aAIP8BysTZ86ooAsG/PSBO9Jvyv+x3EPSXLPWde6/iDnd69hJAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3d988ce67f2ade2ff0423df6868307c69d36d387d39fbe32f61d2911715419d4","last_reissued_at":"2026-07-05T00:18:54.347578Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T00:18:54.347578Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"A 2-Site for Continuous 2-Group Actions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Michael Lambert","submitted_at":"2019-11-12T21:03:55Z","abstract_excerpt":"Elmendorf's Theorem states that the category of continuous actions of a topological group is a Grothendieck topos in the sense that it is equivalent to a category of sheaves on a site. This paper offers a 2-dimensional generalization by showing that a certain 2-category of continuous actions of a topological 2-group is 2-equivalent to a 2-category of 2-sheaves on a suitable 2-site."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1911.05141","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/1911.05141/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":"1911.05141","created_at":"2026-07-05T00:18:54.347640+00:00"},{"alias_kind":"arxiv_version","alias_value":"1911.05141v1","created_at":"2026-07-05T00:18:54.347640+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1911.05141","created_at":"2026-07-05T00:18:54.347640+00:00"},{"alias_kind":"pith_short_12","alias_value":"HWMIZZT7FLPC","created_at":"2026-07-05T00:18:54.347640+00:00"},{"alias_kind":"pith_short_16","alias_value":"HWMIZZT7FLPC74CC","created_at":"2026-07-05T00:18:54.347640+00:00"},{"alias_kind":"pith_short_8","alias_value":"HWMIZZT7","created_at":"2026-07-05T00:18:54.347640+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/HWMIZZT7FLPC74CCHX3INAYHY2","json":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2.json","graph_json":"https://pith.science/api/pith-number/HWMIZZT7FLPC74CCHX3INAYHY2/graph.json","events_json":"https://pith.science/api/pith-number/HWMIZZT7FLPC74CCHX3INAYHY2/events.json","paper":"https://pith.science/paper/HWMIZZT7"},"agent_actions":{"view_html":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2","download_json":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2.json","view_paper":"https://pith.science/paper/HWMIZZT7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1911.05141&json=true","fetch_graph":"https://pith.science/api/pith-number/HWMIZZT7FLPC74CCHX3INAYHY2/graph.json","fetch_events":"https://pith.science/api/pith-number/HWMIZZT7FLPC74CCHX3INAYHY2/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2/action/storage_attestation","attest_author":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2/action/author_attestation","sign_citation":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2/action/citation_signature","submit_replication":"https://pith.science/pith/HWMIZZT7FLPC74CCHX3INAYHY2/action/replication_record"}},"created_at":"2026-07-05T00:18:54.347640+00:00","updated_at":"2026-07-05T00:18:54.347640+00:00"}