{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2013:GKK23TNVELJZQLXXDLDGXR2WAI","short_pith_number":"pith:GKK23TNV","schema_version":"1.0","canonical_sha256":"3295adcdb522d3982ef71ac66bc75602093f490a6ea3fb6815145be5b62fba5b","source":{"kind":"arxiv","id":"1311.3712","version":2},"attestation_state":"computed","paper":{"title":"Homotopy locally presentable enriched categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Jiri Rosicky, Stephen Lack","submitted_at":"2013-11-15T02:54:23Z","abstract_excerpt":"We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where has all objects of V are cofibrant."},"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":"1311.3712","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-11-15T02:54:23Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"b8c87c596e5136bca67ad2dc13b6ca6895852d36f6ba8cdab636990bd076796b","abstract_canon_sha256":"e9b4a9a2f4acad293ada665f353cf72e5f93618d9d6c04caf7e61f99cee2df17"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:41:28.245647Z","signature_b64":"poauJIZCSWa6OPL4njGW0b5E+bVFpzLJEkuhOgaOflx8AUfg31ogLbFywuzJDWZ7zmcBq6C6KQIh1KcpvtjLAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3295adcdb522d3982ef71ac66bc75602093f490a6ea3fb6815145be5b62fba5b","last_reissued_at":"2026-05-17T23:41:28.244926Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:41:28.244926Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homotopy locally presentable enriched categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.CT","authors_text":"Jiri Rosicky, Stephen Lack","submitted_at":"2013-11-15T02:54:23Z","abstract_excerpt":"We develop a homotopy theory of categories enriched in a monoidal model category V. In particular, we deal with homotopy weighted limits and colimits, and homotopy local presentability. The main result, which was known for simplicially-enriched categories, links homotopy locally presentable V-categories with combinatorial model V-categories, in the case where has all objects of V are cofibrant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.3712","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"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":"1311.3712","created_at":"2026-05-17T23:41:28.245040+00:00"},{"alias_kind":"arxiv_version","alias_value":"1311.3712v2","created_at":"2026-05-17T23:41:28.245040+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1311.3712","created_at":"2026-05-17T23:41:28.245040+00:00"},{"alias_kind":"pith_short_12","alias_value":"GKK23TNVELJZ","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_16","alias_value":"GKK23TNVELJZQLXX","created_at":"2026-05-18T12:27:45.050594+00:00"},{"alias_kind":"pith_short_8","alias_value":"GKK23TNV","created_at":"2026-05-18T12:27:45.050594+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/GKK23TNVELJZQLXXDLDGXR2WAI","json":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI.json","graph_json":"https://pith.science/api/pith-number/GKK23TNVELJZQLXXDLDGXR2WAI/graph.json","events_json":"https://pith.science/api/pith-number/GKK23TNVELJZQLXXDLDGXR2WAI/events.json","paper":"https://pith.science/paper/GKK23TNV"},"agent_actions":{"view_html":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI","download_json":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI.json","view_paper":"https://pith.science/paper/GKK23TNV","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1311.3712&json=true","fetch_graph":"https://pith.science/api/pith-number/GKK23TNVELJZQLXXDLDGXR2WAI/graph.json","fetch_events":"https://pith.science/api/pith-number/GKK23TNVELJZQLXXDLDGXR2WAI/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI/action/storage_attestation","attest_author":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI/action/author_attestation","sign_citation":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI/action/citation_signature","submit_replication":"https://pith.science/pith/GKK23TNVELJZQLXXDLDGXR2WAI/action/replication_record"}},"created_at":"2026-05-17T23:41:28.245040+00:00","updated_at":"2026-05-17T23:41:28.245040+00:00"}