{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:S6FYTXSWPL3QMK5U7JSAQVHLFL","short_pith_number":"pith:S6FYTXSW","canonical_record":{"source":{"id":"1403.5303","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-03-20T21:29:30Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"249255cb669ebdda9a0d9fb367f14639aaacca8ef3f67ef5fac011031d90742c","abstract_canon_sha256":"6f7e72efd1ba3fd77375ccf35d0dc531a688108ed8fc6674afbcabc7b3fc189f"},"schema_version":"1.0"},"canonical_sha256":"978b89de567af7062bb4fa640854eb2ad5336b81b855193a77b76de7ff5d6bcd","source":{"kind":"arxiv","id":"1403.5303","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5303","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5303v2","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5303","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"S6FYTXSWPL3Q","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S6FYTXSWPL3QMK5U","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S6FYTXSW","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:S6FYTXSWPL3QMK5U7JSAQVHLFL","target":"record","payload":{"canonical_record":{"source":{"id":"1403.5303","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-03-20T21:29:30Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"249255cb669ebdda9a0d9fb367f14639aaacca8ef3f67ef5fac011031d90742c","abstract_canon_sha256":"6f7e72efd1ba3fd77375ccf35d0dc531a688108ed8fc6674afbcabc7b3fc189f"},"schema_version":"1.0"},"canonical_sha256":"978b89de567af7062bb4fa640854eb2ad5336b81b855193a77b76de7ff5d6bcd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:18.978489Z","signature_b64":"mK2wbTQRbzhF0X8VAhC28o2an4Tvp6lblnLiaIpRZumpBIBa4SSZ7dfHFUGwJbMD9mPRA3QhrZ5Uqm7UJNskCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"978b89de567af7062bb4fa640854eb2ad5336b81b855193a77b76de7ff5d6bcd","last_reissued_at":"2026-05-18T02:43:18.978005Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:18.978005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.5303","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"52a/SyNpGmKNzIzgAlouuwnygVOBzXnJoG6DEKodCHxXwzlMnh/9+iG4ommL0vjo0rLcEswTn9Kf1aDNasCnBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:56:54.994741Z"},"content_sha256":"5255ac0e6902f981845f156d00858624240ac2391fa8a553c0f1ff77cc0692a2","schema_version":"1.0","event_id":"sha256:5255ac0e6902f981845f156d00858624240ac2391fa8a553c0f1ff77cc0692a2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:S6FYTXSWPL3QMK5U7JSAQVHLFL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Coalgebraic models for combinatorial model categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Emily Riehl, Michael Ching","submitted_at":"2014-03-20T21:29:30Z","abstract_excerpt":"We show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5303","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:43:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hdwe7a94jX6xU/o4CohPVULQNFDMnO6P1oBfSSrJsOpMuBFealHrxfthqJsMsnLLkCL52Rm90/w3LSy5v3tFBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T21:56:54.995102Z"},"content_sha256":"b9989d2dbb57090b271fd368cd8dfa9c868daab0724d8e28ae73c82352f2639e","schema_version":"1.0","event_id":"sha256:b9989d2dbb57090b271fd368cd8dfa9c868daab0724d8e28ae73c82352f2639e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL/bundle.json","state_url":"https://pith.science/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-30T21:56:54Z","links":{"resolver":"https://pith.science/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL","bundle":"https://pith.science/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL/bundle.json","state":"https://pith.science/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/S6FYTXSWPL3QMK5U7JSAQVHLFL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:S6FYTXSWPL3QMK5U7JSAQVHLFL","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":"6f7e72efd1ba3fd77375ccf35d0dc531a688108ed8fc6674afbcabc7b3fc189f","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-03-20T21:29:30Z","title_canon_sha256":"249255cb669ebdda9a0d9fb367f14639aaacca8ef3f67ef5fac011031d90742c"},"schema_version":"1.0","source":{"id":"1403.5303","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.5303","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"arxiv_version","alias_value":"1403.5303v2","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.5303","created_at":"2026-05-18T02:43:18Z"},{"alias_kind":"pith_short_12","alias_value":"S6FYTXSWPL3Q","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"S6FYTXSWPL3QMK5U","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"S6FYTXSW","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:b9989d2dbb57090b271fd368cd8dfa9c868daab0724d8e28ae73c82352f2639e","target":"graph","created_at":"2026-05-18T02:43:18Z","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 show that the category of algebraically cofibrant objects in a combinatorial and simplicial model category A has a model structure that is left-induced from that on A. In particular it follows that any presentable model category is Quillen equivalent (via a single Quillen equivalence) to one in which all objects are cofibrant.","authors_text":"Emily Riehl, Michael Ching","cross_cats":["math.CT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-03-20T21:29:30Z","title":"Coalgebraic models for combinatorial model categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.5303","kind":"arxiv","version":2},"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":"sha256:5255ac0e6902f981845f156d00858624240ac2391fa8a553c0f1ff77cc0692a2","target":"record","created_at":"2026-05-18T02:43:18Z","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":"6f7e72efd1ba3fd77375ccf35d0dc531a688108ed8fc6674afbcabc7b3fc189f","cross_cats_sorted":["math.CT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AT","submitted_at":"2014-03-20T21:29:30Z","title_canon_sha256":"249255cb669ebdda9a0d9fb367f14639aaacca8ef3f67ef5fac011031d90742c"},"schema_version":"1.0","source":{"id":"1403.5303","kind":"arxiv","version":2}},"canonical_sha256":"978b89de567af7062bb4fa640854eb2ad5336b81b855193a77b76de7ff5d6bcd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"978b89de567af7062bb4fa640854eb2ad5336b81b855193a77b76de7ff5d6bcd","first_computed_at":"2026-05-18T02:43:18.978005Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:18.978005Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mK2wbTQRbzhF0X8VAhC28o2an4Tvp6lblnLiaIpRZumpBIBa4SSZ7dfHFUGwJbMD9mPRA3QhrZ5Uqm7UJNskCA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:18.978489Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.5303","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5255ac0e6902f981845f156d00858624240ac2391fa8a553c0f1ff77cc0692a2","sha256:b9989d2dbb57090b271fd368cd8dfa9c868daab0724d8e28ae73c82352f2639e"],"state_sha256":"1102452e826eef1f08d7099c1497a88d441b3dfff601c7005983ac0315c4278a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XSKS8m8cSWrFbBXp8CahyaR/G9yzodF0MicNmYMUlcgoxYTlk3jVfnwYs8fjyd0hd7dIY+oBoliZDisWLYjWAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T21:56:54.997430Z","bundle_sha256":"5c9c4b4f123796a340f1368239a18447b992b782651f4d4a822bd40141f8ea38"}}