{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:SVCQ2AVTWDMTWNOWLTRZSEP3X7","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":"ea81e454ba97d6ed4657620b87bd4b0cace1d7ef563cccee63ff66c0fb1e6606","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-04-25T18:31:13Z","title_canon_sha256":"673dbc552fc62408b190a474ce33e424cacbf150d9d1c8a6fe6382bb2a0dbf25"},"schema_version":"1.0","source":{"id":"1304.6974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1304.6974","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"arxiv_version","alias_value":"1304.6974v1","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1304.6974","created_at":"2026-05-18T03:27:10Z"},{"alias_kind":"pith_short_12","alias_value":"SVCQ2AVTWDMT","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"SVCQ2AVTWDMTWNOW","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"SVCQ2AVT","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:90ba902b826220e747258d284a11587db77506b9e1097bef11b7d34e30b442f7","target":"graph","created_at":"2026-05-18T03:27:10Z","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":"Good colimits introduced by J. Lurie generalize transfinite composites and provide an important tool for understanding cofibrant generation in locally presentable categories. We will explore the relation of good colimits to transfinite composites further and show, in particular, how they eliminate the use of large objects in the usual small object argument.","authors_text":"Ji\\v{r}\\'i Rosick\\'y, Luk\\'a\\v{s} Vok\\v{r}\\'inek, Michael Makkai","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-04-25T18:31:13Z","title":"On a fat small object argument"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1304.6974","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":"sha256:096d5fc78f3103fd19843403e8f5879ffa4a3c974544055aec588c664c6dbf92","target":"record","created_at":"2026-05-18T03:27:10Z","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":"ea81e454ba97d6ed4657620b87bd4b0cace1d7ef563cccee63ff66c0fb1e6606","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2013-04-25T18:31:13Z","title_canon_sha256":"673dbc552fc62408b190a474ce33e424cacbf150d9d1c8a6fe6382bb2a0dbf25"},"schema_version":"1.0","source":{"id":"1304.6974","kind":"arxiv","version":1}},"canonical_sha256":"95450d02b3b0d93b35d65ce39911fbbfe50529a2b85c8871826ccd93b3b037be","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"95450d02b3b0d93b35d65ce39911fbbfe50529a2b85c8871826ccd93b3b037be","first_computed_at":"2026-05-18T03:27:10.666208Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:27:10.666208Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Yj1aGFBlZwKOj4MU61keGSMT59AJs7EPHD0GFg2Ic1w3eakU8MVP6FsAj2M91w+Fanl7ZzfHNaqtaq6EeGvqBg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:27:10.667006Z","signed_message":"canonical_sha256_bytes"},"source_id":"1304.6974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:096d5fc78f3103fd19843403e8f5879ffa4a3c974544055aec588c664c6dbf92","sha256:90ba902b826220e747258d284a11587db77506b9e1097bef11b7d34e30b442f7"],"state_sha256":"9bdb56c38d6b4ddb2ca9f3132aa38c155f90b3098f2ee907bf02f6d332bd61b9"}