{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2001:ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76","short_pith_number":"pith:ZUPYZLXV","canonical_record":{"source":{"id":"math/0112176","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AT","submitted_at":"2001-12-18T14:04:05Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"e6f90b48484dd19605a750af541b1cf33f492c2e9cf077ecf743bda8d21aed37","abstract_canon_sha256":"ff52b69e3e846cbba0838d7f080ec65b408f0cd80f6415ea866160544d77272e"},"schema_version":"1.0"},"canonical_sha256":"cd1f8caef526d4b4a7794f2734ef2cffa8614761540d9a1d5bd95fb66ab05066","source":{"kind":"arxiv","id":"math/0112176","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0112176","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0112176v1","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0112176","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"ZUPYZLXVE3KL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZUPYZLXVE3KLJJ3Z","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZUPYZLXV","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2001:ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76","target":"record","payload":{"canonical_record":{"source":{"id":"math/0112176","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AT","submitted_at":"2001-12-18T14:04:05Z","cross_cats_sorted":["math.CT"],"title_canon_sha256":"e6f90b48484dd19605a750af541b1cf33f492c2e9cf077ecf743bda8d21aed37","abstract_canon_sha256":"ff52b69e3e846cbba0838d7f080ec65b408f0cd80f6415ea866160544d77272e"},"schema_version":"1.0"},"canonical_sha256":"cd1f8caef526d4b4a7794f2734ef2cffa8614761540d9a1d5bd95fb66ab05066","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:28.785199Z","signature_b64":"Nxx4MbQp1AB2WUjZ9nZ0ULVKi95YKSpgtHR9kKboQqKlWNqt24DI30fnigHpU0/8LyLHmO1yIV5S7fiWisJ+BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cd1f8caef526d4b4a7794f2734ef2cffa8614761540d9a1d5bd95fb66ab05066","last_reissued_at":"2026-05-18T03:05:28.784645Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:28.784645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0112176","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"WblN/+y4LnwxUwGVZo4slgvQlchD2b/qjEAQUN6mEKwMTtydpPqCQIJ/Nz4hQqCwh+u2vdR9rt2eeDau5uZOBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T14:36:18.825638Z"},"content_sha256":"6c7d0d9bf567815f817657c1a65a5a69152afa0dc189923e4f5aa9b348b8881c","schema_version":"1.0","event_id":"sha256:6c7d0d9bf567815f817657c1a65a5a69152afa0dc189923e4f5aa9b348b8881c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2001:ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An example of a non-cofibrantly generated model category","license":"","headline":"","cross_cats":["math.CT"],"primary_cat":"math.AT","authors_text":"Boris Chorny","submitted_at":"2001-12-18T14:04:05Z","abstract_excerpt":"We show that the model category of diagrams of spaces generated by a proper class of orbits is not cofibrantly generated. In particular the category of maps between spaces may be given a non-cofibrantly generated model structure."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0112176","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":""},"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":"2026-05-18T03:05:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"20pEl6AuxPdSHo8BIAbM5Q8Wsp7zXb79qhboU5ecFfv9DtLRrsXAVNvWyyh9ulIfVdy+BQ31/BQiKubmRWi2AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-20T14:36:18.825974Z"},"content_sha256":"b08c091d0a5a83e47a5bfdf2b52574caae968a6df8a77fa74a32e7c87da1d0fd","schema_version":"1.0","event_id":"sha256:b08c091d0a5a83e47a5bfdf2b52574caae968a6df8a77fa74a32e7c87da1d0fd"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76/bundle.json","state_url":"https://pith.science/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76/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":"2026-06-20T14:36:18Z","links":{"resolver":"https://pith.science/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76","bundle":"https://pith.science/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76/bundle.json","state":"https://pith.science/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2001:ZUPYZLXVE3KLJJ3ZJ4TTJ3ZM76","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":"ff52b69e3e846cbba0838d7f080ec65b408f0cd80f6415ea866160544d77272e","cross_cats_sorted":["math.CT"],"license":"","primary_cat":"math.AT","submitted_at":"2001-12-18T14:04:05Z","title_canon_sha256":"e6f90b48484dd19605a750af541b1cf33f492c2e9cf077ecf743bda8d21aed37"},"schema_version":"1.0","source":{"id":"math/0112176","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0112176","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"arxiv_version","alias_value":"math/0112176v1","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0112176","created_at":"2026-05-18T03:05:28Z"},{"alias_kind":"pith_short_12","alias_value":"ZUPYZLXVE3KL","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZUPYZLXVE3KLJJ3Z","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZUPYZLXV","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:b08c091d0a5a83e47a5bfdf2b52574caae968a6df8a77fa74a32e7c87da1d0fd","target":"graph","created_at":"2026-05-18T03:05:28Z","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 model category of diagrams of spaces generated by a proper class of orbits is not cofibrantly generated. In particular the category of maps between spaces may be given a non-cofibrantly generated model structure.","authors_text":"Boris Chorny","cross_cats":["math.CT"],"headline":"","license":"","primary_cat":"math.AT","submitted_at":"2001-12-18T14:04:05Z","title":"An example of a non-cofibrantly generated model category"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0112176","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":"sha256:6c7d0d9bf567815f817657c1a65a5a69152afa0dc189923e4f5aa9b348b8881c","target":"record","created_at":"2026-05-18T03:05:28Z","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":"ff52b69e3e846cbba0838d7f080ec65b408f0cd80f6415ea866160544d77272e","cross_cats_sorted":["math.CT"],"license":"","primary_cat":"math.AT","submitted_at":"2001-12-18T14:04:05Z","title_canon_sha256":"e6f90b48484dd19605a750af541b1cf33f492c2e9cf077ecf743bda8d21aed37"},"schema_version":"1.0","source":{"id":"math/0112176","kind":"arxiv","version":1}},"canonical_sha256":"cd1f8caef526d4b4a7794f2734ef2cffa8614761540d9a1d5bd95fb66ab05066","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cd1f8caef526d4b4a7794f2734ef2cffa8614761540d9a1d5bd95fb66ab05066","first_computed_at":"2026-05-18T03:05:28.784645Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:28.784645Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Nxx4MbQp1AB2WUjZ9nZ0ULVKi95YKSpgtHR9kKboQqKlWNqt24DI30fnigHpU0/8LyLHmO1yIV5S7fiWisJ+BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:28.785199Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0112176","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6c7d0d9bf567815f817657c1a65a5a69152afa0dc189923e4f5aa9b348b8881c","sha256:b08c091d0a5a83e47a5bfdf2b52574caae968a6df8a77fa74a32e7c87da1d0fd"],"state_sha256":"191dea6492962d0fef407da36ac9c195b19476d9d3233c3aa32c1a1c5434f74c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KtewtxFjDk5g1C4rnR1D5Z07/0V0VugDwF3k4Ob+uIGJXpdEMPXgT0CsVBxS5RfB86hm1RISMFFXvTGTHDXEBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-20T14:36:18.827900Z","bundle_sha256":"f96e16db1de5494f8287c0a8664529a8b83e5f1af8a0b48fa1f11bfb11fc6e6f"}}