{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:Z353RVBB3NWX7VT2ZVIC3EHXGC","short_pith_number":"pith:Z353RVBB","canonical_record":{"source":{"id":"1406.0593","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-06-03T06:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"263e66afe6d4ba7682923e07d67f22504a708f3c59c2d516e933500476dd7b2f","abstract_canon_sha256":"cd4b8b8118229117767ed2bfbd96fc1e2b2fd66fbc8bc70bb851c839b39b60c6"},"schema_version":"1.0"},"canonical_sha256":"cefbb8d421db6d7fd67acd502d90f7308ec9f5125f399e9ddd8781531982e040","source":{"kind":"arxiv","id":"1406.0593","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0593","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0593v3","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0593","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"pith_short_12","alias_value":"Z353RVBB3NWX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z353RVBB3NWX7VT2","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z353RVBB","created_at":"2026-05-18T12:28:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:Z353RVBB3NWX7VT2ZVIC3EHXGC","target":"record","payload":{"canonical_record":{"source":{"id":"1406.0593","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-06-03T06:41:05Z","cross_cats_sorted":[],"title_canon_sha256":"263e66afe6d4ba7682923e07d67f22504a708f3c59c2d516e933500476dd7b2f","abstract_canon_sha256":"cd4b8b8118229117767ed2bfbd96fc1e2b2fd66fbc8bc70bb851c839b39b60c6"},"schema_version":"1.0"},"canonical_sha256":"cefbb8d421db6d7fd67acd502d90f7308ec9f5125f399e9ddd8781531982e040","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:03:48.462354Z","signature_b64":"YcatW3hT8PdTymrYfJeSFIIk//BeRtVSkTKsXDD0UDK9QrruCa8AosYeV0/9Jv3+nGi5aUChvykfL5KILwBRAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cefbb8d421db6d7fd67acd502d90f7308ec9f5125f399e9ddd8781531982e040","last_reissued_at":"2026-05-18T02:03:48.461644Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:03:48.461644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.0593","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":"2026-05-18T02:03:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KjSb0Txl+zT+v4CvqSD8LwCB72JhgFgX3btFkC46nt9Iwpc5xbs3LblcSaM4xOJuX5BFoPjIp5ETHwrvzaEEBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:21:39.361215Z"},"content_sha256":"91a5d7d569ed0a421d984e51def0416472a91e5e04d5fb1fb5cfc5e909871cf5","schema_version":"1.0","event_id":"sha256:91a5d7d569ed0a421d984e51def0416472a91e5e04d5fb1fb5cfc5e909871cf5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:Z353RVBB3NWX7VT2ZVIC3EHXGC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite homological dimension and a derived equivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.KT","authors_text":"Sarang Sane, William Sanders","submitted_at":"2014-06-03T06:41:05Z","abstract_excerpt":"For a Cohen-Macaulay ring $R$, we exhibit the equivalence of the bounded derived categories of certain resolving subcategories, which, amongst other results, yields an equivalence of the bounded derived category of finite length and finite projective dimension modules with the bounded derived category of projective modules with finite length homologies. This yields isomorphisms of various generalized cohomology groups (like K-theory) and improves on terms of a spectral sequence and Gersten complexes."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0593","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":""},"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":"2026-05-18T02:03:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dAoz5SR7z3ddbP1PqQR348c6/XQ7PWhDtn2Satk9fzHDUKq9Mn9R2XAy72dD784tbIq8hJSueYgjnwLh5sHPAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T21:21:39.361578Z"},"content_sha256":"ee4e4c9ddb55d450bc10f0c392c4f54c333714c2761f054d792679164e7f228d","schema_version":"1.0","event_id":"sha256:ee4e4c9ddb55d450bc10f0c392c4f54c333714c2761f054d792679164e7f228d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC/bundle.json","state_url":"https://pith.science/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC/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":"2026-06-24T21:21:39Z","links":{"resolver":"https://pith.science/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC","bundle":"https://pith.science/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC/bundle.json","state":"https://pith.science/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z353RVBB3NWX7VT2ZVIC3EHXGC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:Z353RVBB3NWX7VT2ZVIC3EHXGC","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":"cd4b8b8118229117767ed2bfbd96fc1e2b2fd66fbc8bc70bb851c839b39b60c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-06-03T06:41:05Z","title_canon_sha256":"263e66afe6d4ba7682923e07d67f22504a708f3c59c2d516e933500476dd7b2f"},"schema_version":"1.0","source":{"id":"1406.0593","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0593","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0593v3","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0593","created_at":"2026-05-18T02:03:48Z"},{"alias_kind":"pith_short_12","alias_value":"Z353RVBB3NWX","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"Z353RVBB3NWX7VT2","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"Z353RVBB","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:ee4e4c9ddb55d450bc10f0c392c4f54c333714c2761f054d792679164e7f228d","target":"graph","created_at":"2026-05-18T02:03:48Z","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":"For a Cohen-Macaulay ring $R$, we exhibit the equivalence of the bounded derived categories of certain resolving subcategories, which, amongst other results, yields an equivalence of the bounded derived category of finite length and finite projective dimension modules with the bounded derived category of projective modules with finite length homologies. This yields isomorphisms of various generalized cohomology groups (like K-theory) and improves on terms of a spectral sequence and Gersten complexes.","authors_text":"Sarang Sane, William Sanders","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-06-03T06:41:05Z","title":"Finite homological dimension and a derived equivalence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0593","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":"sha256:91a5d7d569ed0a421d984e51def0416472a91e5e04d5fb1fb5cfc5e909871cf5","target":"record","created_at":"2026-05-18T02:03:48Z","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":"cd4b8b8118229117767ed2bfbd96fc1e2b2fd66fbc8bc70bb851c839b39b60c6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.KT","submitted_at":"2014-06-03T06:41:05Z","title_canon_sha256":"263e66afe6d4ba7682923e07d67f22504a708f3c59c2d516e933500476dd7b2f"},"schema_version":"1.0","source":{"id":"1406.0593","kind":"arxiv","version":3}},"canonical_sha256":"cefbb8d421db6d7fd67acd502d90f7308ec9f5125f399e9ddd8781531982e040","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cefbb8d421db6d7fd67acd502d90f7308ec9f5125f399e9ddd8781531982e040","first_computed_at":"2026-05-18T02:03:48.461644Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:03:48.461644Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YcatW3hT8PdTymrYfJeSFIIk//BeRtVSkTKsXDD0UDK9QrruCa8AosYeV0/9Jv3+nGi5aUChvykfL5KILwBRAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:03:48.462354Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0593","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:91a5d7d569ed0a421d984e51def0416472a91e5e04d5fb1fb5cfc5e909871cf5","sha256:ee4e4c9ddb55d450bc10f0c392c4f54c333714c2761f054d792679164e7f228d"],"state_sha256":"5c44faf6b8e3e925e57d6e458ea97cefc54a5d33bf39a7152a588245c43d3acd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BxNlLMXyN08oKfx3dqtBRvNNTwuXLSRTaJ8VS2MPMo2xtKo1dcAIIcNBf7LLPkO5mzAh44yqttYPaliB9QKdCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T21:21:39.363489Z","bundle_sha256":"37fa5cd057e173518a9974febdf9e970f8f711c26d5dc4483bd049f0cba8bf70"}}