{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:FGASDAO2COHUZRP2WN5WRPTV7N","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":"8aab441b1e6aa6a5a0095bc4df6ce72f58bfab2afddad633cc90fd6f8784d0ad","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-02T22:23:34Z","title_canon_sha256":"f25f82ee02e810277d7ee0e9cd9d5d9e5fbf3bda17ebc4dbd1bd59bc655ed724"},"schema_version":"1.0","source":{"id":"1902.00805","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1902.00805","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"arxiv_version","alias_value":"1902.00805v1","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1902.00805","created_at":"2026-05-17T23:54:52Z"},{"alias_kind":"pith_short_12","alias_value":"FGASDAO2COHU","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_16","alias_value":"FGASDAO2COHUZRP2","created_at":"2026-05-18T12:33:15Z"},{"alias_kind":"pith_short_8","alias_value":"FGASDAO2","created_at":"2026-05-18T12:33:15Z"}],"graph_snapshots":[{"event_id":"sha256:5943f2ca58018132303f162dc2013bbd4e9556b49d7bc1308a9ae81b501c9fbe","target":"graph","created_at":"2026-05-17T23:54:52Z","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"},"paper":{"abstract_excerpt":"We introduce the notion of weighted limit in an arbitrary quasi-category, suitably generalizing ordinary limits in a quasi-category, and classical weighted limits in an ordinary category. This is accomplished by generalizing Joyal's approach: we identify a meaningful construction for the quasi-category of weighted cones over a diagram in a quasi-category, whose terminal object is the weighted limit of the considered diagram. When the quasi-category arises as the homotopy coherent nerve of a category enriched over Kan complexes, we use techniques by Riehl-Verity to show that the weighted limit ","authors_text":"Martina Rovelli","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-02T22:23:34Z","title":"Weighted limits in an $(\\infty,1)$-category"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1902.00805","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":"sha256:649ae04cc9270d12c42667555e4537e5f5862371c0e50a0434b5d9b52257c2b9","target":"record","created_at":"2026-05-17T23:54:52Z","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":"8aab441b1e6aa6a5a0095bc4df6ce72f58bfab2afddad633cc90fd6f8784d0ad","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2019-02-02T22:23:34Z","title_canon_sha256":"f25f82ee02e810277d7ee0e9cd9d5d9e5fbf3bda17ebc4dbd1bd59bc655ed724"},"schema_version":"1.0","source":{"id":"1902.00805","kind":"arxiv","version":1}},"canonical_sha256":"29812181da138f4cc5fab37b68be75fb74221b105e85d60d632c958a99dc29b5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"29812181da138f4cc5fab37b68be75fb74221b105e85d60d632c958a99dc29b5","first_computed_at":"2026-05-17T23:54:52.078846Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:54:52.078846Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Y/d+kXyDc5nIBzQFkD8dVKuTJJ8m3axydLg3j9FznJbJN5irV/cZ3n3uGn32VDXkCdewghA64vcdyM5Y9mlHCw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:54:52.079222Z","signed_message":"canonical_sha256_bytes"},"source_id":"1902.00805","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:649ae04cc9270d12c42667555e4537e5f5862371c0e50a0434b5d9b52257c2b9","sha256:5943f2ca58018132303f162dc2013bbd4e9556b49d7bc1308a9ae81b501c9fbe"],"state_sha256":"6a1632525405047c1121d2e1e2be3917fcda9278db8605d5f9e8e25f05307f57"}