{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:ROI6DFJ4FJX3MTPWX7KGW5BJSR","short_pith_number":"pith:ROI6DFJ4","canonical_record":{"source":{"id":"1812.01526","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-04T17:01:39Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"9b9bec51f3dd26627ab1098016169a92e78def1d6667428bf19d69aafce5e9eb","abstract_canon_sha256":"cd8fa471808e32beace741410810287136d716914498aa81701ca2586a92fbf8"},"schema_version":"1.0"},"canonical_sha256":"8b91e1953c2a6fb64df6bfd46b742994444f13552be9f9fbc54e600e62207494","source":{"kind":"arxiv","id":"1812.01526","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01526","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01526v3","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01526","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"ROI6DFJ4FJX3","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_16","alias_value":"ROI6DFJ4FJX3MTPW","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_8","alias_value":"ROI6DFJ4","created_at":"2026-07-05T02:24:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:ROI6DFJ4FJX3MTPWX7KGW5BJSR","target":"record","payload":{"canonical_record":{"source":{"id":"1812.01526","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-04T17:01:39Z","cross_cats_sorted":["math.AT"],"title_canon_sha256":"9b9bec51f3dd26627ab1098016169a92e78def1d6667428bf19d69aafce5e9eb","abstract_canon_sha256":"cd8fa471808e32beace741410810287136d716914498aa81701ca2586a92fbf8"},"schema_version":"1.0"},"canonical_sha256":"8b91e1953c2a6fb64df6bfd46b742994444f13552be9f9fbc54e600e62207494","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:24:08.208310Z","signature_b64":"SUsv5MrnA8UtumhPxmNiCYy2BnTCMjZLXboLC8eUeSwWqLiD9os//Va7m1t4DNzkJhomcVyx80AlhWPtpVPUBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8b91e1953c2a6fb64df6bfd46b742994444f13552be9f9fbc54e600e62207494","last_reissued_at":"2026-07-05T02:24:08.207863Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:24:08.207863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1812.01526","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":"2026-07-05T02:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sd/627Uc9uOWJSa2DYHBhxFrhY1Yi/Fcc5yCJJRcFnzuCQqmv7u6d4dHCN4yTJjY/BzfT+/SJOpFLAIFF/fGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:29:13.556686Z"},"content_sha256":"dcfb508190c2e94fafdf41ad4250b417e7892a6edd10087bd6b6deef83d3c0f0","schema_version":"1.0","event_id":"sha256:dcfb508190c2e94fafdf41ad4250b417e7892a6edd10087bd6b6deef83d3c0f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:ROI6DFJ4FJX3MTPWX7KGW5BJSR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the uniqueness of infinity-categorical enhancements of triangulated categories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AT"],"primary_cat":"math.AG","authors_text":"Benjamin Antieau","submitted_at":"2018-12-04T17:01:39Z","abstract_excerpt":"We study the problem of when triangulated categories admit unique infinity-categorical enhancements. Our results use Lurie's theory of prestable infinity-categories to give conceptual proofs of, and in many cases strengthen, previous work on the subject by Lunts--Orlov and Canonaco--Stellari. We also give a wide range of examples involving quasi-coherent sheaves, categories of almost modules, and local cohomology to illustrate the theory of prestable infinity-categories. Finally, we propose a theory of stable $n$-categories which would interpolate between triangulated categories and stable inf"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01526","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/1812.01526/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":"2026-07-05T02:24:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DdVMQIbRbvWg5uIIZz22iUH2S7sguLqwJftCi5d6Avwko2GfNEojlgCe4Wg2l23Uc8uDxA9RzHBhnbMxVbuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T15:29:13.557373Z"},"content_sha256":"35eedcbdd4e86f84e2c5815444b08a3c1b5c56c0d7a1e1416c0a6bd1c4116b4c","schema_version":"1.0","event_id":"sha256:35eedcbdd4e86f84e2c5815444b08a3c1b5c56c0d7a1e1416c0a6bd1c4116b4c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR/bundle.json","state_url":"https://pith.science/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR/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":"2026-08-08T15:29:13Z","links":{"resolver":"https://pith.science/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR","bundle":"https://pith.science/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR/bundle.json","state":"https://pith.science/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ROI6DFJ4FJX3MTPWX7KGW5BJSR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:ROI6DFJ4FJX3MTPWX7KGW5BJSR","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":"cd8fa471808e32beace741410810287136d716914498aa81701ca2586a92fbf8","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-04T17:01:39Z","title_canon_sha256":"9b9bec51f3dd26627ab1098016169a92e78def1d6667428bf19d69aafce5e9eb"},"schema_version":"1.0","source":{"id":"1812.01526","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1812.01526","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"arxiv_version","alias_value":"1812.01526v3","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1812.01526","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_12","alias_value":"ROI6DFJ4FJX3","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_16","alias_value":"ROI6DFJ4FJX3MTPW","created_at":"2026-07-05T02:24:08Z"},{"alias_kind":"pith_short_8","alias_value":"ROI6DFJ4","created_at":"2026-07-05T02:24:08Z"}],"graph_snapshots":[{"event_id":"sha256:35eedcbdd4e86f84e2c5815444b08a3c1b5c56c0d7a1e1416c0a6bd1c4116b4c","target":"graph","created_at":"2026-07-05T02:24:08Z","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/1812.01526/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the problem of when triangulated categories admit unique infinity-categorical enhancements. Our results use Lurie's theory of prestable infinity-categories to give conceptual proofs of, and in many cases strengthen, previous work on the subject by Lunts--Orlov and Canonaco--Stellari. We also give a wide range of examples involving quasi-coherent sheaves, categories of almost modules, and local cohomology to illustrate the theory of prestable infinity-categories. Finally, we propose a theory of stable $n$-categories which would interpolate between triangulated categories and stable inf","authors_text":"Benjamin Antieau","cross_cats":["math.AT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-04T17:01:39Z","title":"On the uniqueness of infinity-categorical enhancements of triangulated categories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1812.01526","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:dcfb508190c2e94fafdf41ad4250b417e7892a6edd10087bd6b6deef83d3c0f0","target":"record","created_at":"2026-07-05T02:24:08Z","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":"cd8fa471808e32beace741410810287136d716914498aa81701ca2586a92fbf8","cross_cats_sorted":["math.AT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2018-12-04T17:01:39Z","title_canon_sha256":"9b9bec51f3dd26627ab1098016169a92e78def1d6667428bf19d69aafce5e9eb"},"schema_version":"1.0","source":{"id":"1812.01526","kind":"arxiv","version":3}},"canonical_sha256":"8b91e1953c2a6fb64df6bfd46b742994444f13552be9f9fbc54e600e62207494","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8b91e1953c2a6fb64df6bfd46b742994444f13552be9f9fbc54e600e62207494","first_computed_at":"2026-07-05T02:24:08.207863Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:24:08.207863Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SUsv5MrnA8UtumhPxmNiCYy2BnTCMjZLXboLC8eUeSwWqLiD9os//Va7m1t4DNzkJhomcVyx80AlhWPtpVPUBw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:24:08.208310Z","signed_message":"canonical_sha256_bytes"},"source_id":"1812.01526","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcfb508190c2e94fafdf41ad4250b417e7892a6edd10087bd6b6deef83d3c0f0","sha256:35eedcbdd4e86f84e2c5815444b08a3c1b5c56c0d7a1e1416c0a6bd1c4116b4c"],"state_sha256":"2286c0017dafb3347f0003e6360850b0bf84cbfd59dafb81237ad4c8e947ce08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"k0vEt4DlZHKzOMlDocUsrQeO1OiBpFYMW9+O9avwam23aztkHHUryK8WUBn9rgHH4V5Q1wdRmQYnVWY0XmeCBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T15:29:13.563880Z","bundle_sha256":"5e5b30ee9929ddd1f04e1473be8ef146174ba7af3c7b75b2cb624003c512ef94"}}