{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:RGN77M3GXIYEQK67RCQSI7CWDW","short_pith_number":"pith:RGN77M3G","canonical_record":{"source":{"id":"2101.10797","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2021-01-26T14:14:09Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"b0a1a26f6c28bc5f418d9b111f41603070d9f2cc9c279409a8e7a76518f1f8c6","abstract_canon_sha256":"eeeafb6ef7b393ea5d58929ac28ff6ff623ea2bbf3f6a7e4ad48da9df3fe41a9"},"schema_version":"1.0"},"canonical_sha256":"899bffb366ba30482bdf88a1247c561da5d01deb0c2ec7726855de084c91517f","source":{"kind":"arxiv","id":"2101.10797","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.10797","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"arxiv_version","alias_value":"2101.10797v3","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.10797","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"pith_short_12","alias_value":"RGN77M3GXIYE","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"pith_short_16","alias_value":"RGN77M3GXIYEQK67","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"pith_short_8","alias_value":"RGN77M3G","created_at":"2026-07-05T03:13:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:RGN77M3GXIYEQK67RCQSI7CWDW","target":"record","payload":{"canonical_record":{"source":{"id":"2101.10797","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2021-01-26T14:14:09Z","cross_cats_sorted":["math.AG","math.RT"],"title_canon_sha256":"b0a1a26f6c28bc5f418d9b111f41603070d9f2cc9c279409a8e7a76518f1f8c6","abstract_canon_sha256":"eeeafb6ef7b393ea5d58929ac28ff6ff623ea2bbf3f6a7e4ad48da9df3fe41a9"},"schema_version":"1.0"},"canonical_sha256":"899bffb366ba30482bdf88a1247c561da5d01deb0c2ec7726855de084c91517f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T03:13:01.874642Z","signature_b64":"pUJmt1RuBIvrJoKHgr3fxbQtZWCCBTCAy+GYPGg+iCzOuvNY+dgiOHfthTLe5EyGuSPof26iVHsyX3//9VIRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"899bffb366ba30482bdf88a1247c561da5d01deb0c2ec7726855de084c91517f","last_reissued_at":"2026-07-05T03:13:01.874171Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T03:13:01.874171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2101.10797","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T03:13:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ww9b+c0wRdhXmLgymPgBJNwfxXerBkxme3O1jcrKbOAzt9VEKK/dqtZz3tV2DvPixws+b5kPMpCOGQyNpw/xBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T13:48:37.291450Z"},"content_sha256":"aaadeb25bc5ae6d392c43642992b42e52266bb3ba74a06f3b11776eafb8e2887","schema_version":"1.0","event_id":"sha256:aaadeb25bc5ae6d392c43642992b42e52266bb3ba74a06f3b11776eafb8e2887"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:RGN77M3GXIYEQK67RCQSI7CWDW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Derived, coderived, and contraderived categories of locally presentable abelian categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG","math.RT"],"primary_cat":"math.CT","authors_text":"Jan Stovicek, Leonid Positselski","submitted_at":"2021-01-26T14:14:09Z","abstract_excerpt":"For a locally presentable abelian category $\\mathsf B$ with a projective generator, we construct the projective derived and contraderived model structures on the category of complexes, proving in particular the existence of enough homotopy projective complexes of projective objects. We also show that the derived category $\\mathsf D(\\mathsf B)$ is generated, as a triangulated category with coproducts, by the projective generator of $\\mathsf B$. For a Grothendieck abelian category $\\mathsf A$, we construct the injective derived and coderived model structures on complexes. Assuming Vopenka's prin"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10797","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2101.10797/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T03:13:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vYxBHI68uHGMSMqEiglyrik9k7zWSJdh+47mUcyWKDVEGFNDFm7uKbXJXVU37a5iCuBCZc874hgFpafk2NyBDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T13:48:37.291985Z"},"content_sha256":"1a314cda63759eaeacf3e40a28b2482773abc35d4afe23889f9fc0b93de1dc9f","schema_version":"1.0","event_id":"sha256:1a314cda63759eaeacf3e40a28b2482773abc35d4afe23889f9fc0b93de1dc9f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGN77M3GXIYEQK67RCQSI7CWDW/bundle.json","state_url":"https://pith.science/pith/RGN77M3GXIYEQK67RCQSI7CWDW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGN77M3GXIYEQK67RCQSI7CWDW/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":"2026-08-10T13:48:37Z","links":{"resolver":"https://pith.science/pith/RGN77M3GXIYEQK67RCQSI7CWDW","bundle":"https://pith.science/pith/RGN77M3GXIYEQK67RCQSI7CWDW/bundle.json","state":"https://pith.science/pith/RGN77M3GXIYEQK67RCQSI7CWDW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGN77M3GXIYEQK67RCQSI7CWDW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:RGN77M3GXIYEQK67RCQSI7CWDW","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":"eeeafb6ef7b393ea5d58929ac28ff6ff623ea2bbf3f6a7e4ad48da9df3fe41a9","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2021-01-26T14:14:09Z","title_canon_sha256":"b0a1a26f6c28bc5f418d9b111f41603070d9f2cc9c279409a8e7a76518f1f8c6"},"schema_version":"1.0","source":{"id":"2101.10797","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2101.10797","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"arxiv_version","alias_value":"2101.10797v3","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2101.10797","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"pith_short_12","alias_value":"RGN77M3GXIYE","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"pith_short_16","alias_value":"RGN77M3GXIYEQK67","created_at":"2026-07-05T03:13:01Z"},{"alias_kind":"pith_short_8","alias_value":"RGN77M3G","created_at":"2026-07-05T03:13:01Z"}],"graph_snapshots":[{"event_id":"sha256:1a314cda63759eaeacf3e40a28b2482773abc35d4afe23889f9fc0b93de1dc9f","target":"graph","created_at":"2026-07-05T03:13:01Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2101.10797/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a locally presentable abelian category $\\mathsf B$ with a projective generator, we construct the projective derived and contraderived model structures on the category of complexes, proving in particular the existence of enough homotopy projective complexes of projective objects. We also show that the derived category $\\mathsf D(\\mathsf B)$ is generated, as a triangulated category with coproducts, by the projective generator of $\\mathsf B$. For a Grothendieck abelian category $\\mathsf A$, we construct the injective derived and coderived model structures on complexes. Assuming Vopenka's prin","authors_text":"Jan Stovicek, Leonid Positselski","cross_cats":["math.AG","math.RT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2021-01-26T14:14:09Z","title":"Derived, coderived, and contraderived categories of locally presentable abelian categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2101.10797","kind":"arxiv","version":3},"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:aaadeb25bc5ae6d392c43642992b42e52266bb3ba74a06f3b11776eafb8e2887","target":"record","created_at":"2026-07-05T03:13:01Z","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":"eeeafb6ef7b393ea5d58929ac28ff6ff623ea2bbf3f6a7e4ad48da9df3fe41a9","cross_cats_sorted":["math.AG","math.RT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CT","submitted_at":"2021-01-26T14:14:09Z","title_canon_sha256":"b0a1a26f6c28bc5f418d9b111f41603070d9f2cc9c279409a8e7a76518f1f8c6"},"schema_version":"1.0","source":{"id":"2101.10797","kind":"arxiv","version":3}},"canonical_sha256":"899bffb366ba30482bdf88a1247c561da5d01deb0c2ec7726855de084c91517f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"899bffb366ba30482bdf88a1247c561da5d01deb0c2ec7726855de084c91517f","first_computed_at":"2026-07-05T03:13:01.874171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T03:13:01.874171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pUJmt1RuBIvrJoKHgr3fxbQtZWCCBTCAy+GYPGg+iCzOuvNY+dgiOHfthTLe5EyGuSPof26iVHsyX3//9VIRAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T03:13:01.874642Z","signed_message":"canonical_sha256_bytes"},"source_id":"2101.10797","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aaadeb25bc5ae6d392c43642992b42e52266bb3ba74a06f3b11776eafb8e2887","sha256:1a314cda63759eaeacf3e40a28b2482773abc35d4afe23889f9fc0b93de1dc9f"],"state_sha256":"6d25294fcf38e28e6701a5c046f302dbac62e385eaf11b4d9b8745717d2b80f4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IPNg5zRr9XsQ6UfZTfUill49XoiVI3hm+clKNGEAgrilh4ZtPpoG77NsWUUCgWE3CEe4Kqdwq8dJtoKALdl7CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T13:48:37.318657Z","bundle_sha256":"315ea687220f2a1e85d9f563b0a948c93380fdc2437bf5a7ea340532b6d66242"}}