{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:U7BLWRQ3FEQACRZ3BYY3JZNZF7","short_pith_number":"pith:U7BLWRQ3","canonical_record":{"source":{"id":"1109.3053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-14T11:26:45Z","cross_cats_sorted":[],"title_canon_sha256":"7a012dd7e651726186b7ecc73cdc19408ed267a42dded21a030da0deea89c6ce","abstract_canon_sha256":"439cc1ce960fc06bf2c93ea96df777b4b03aec76de402f8eca331baac23a75fe"},"schema_version":"1.0"},"canonical_sha256":"a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39","source":{"kind":"arxiv","id":"1109.3053","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3053","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3053v1","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3053","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"U7BLWRQ3FEQA","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U7BLWRQ3FEQACRZ3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U7BLWRQ3","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:U7BLWRQ3FEQACRZ3BYY3JZNZF7","target":"record","payload":{"canonical_record":{"source":{"id":"1109.3053","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-14T11:26:45Z","cross_cats_sorted":[],"title_canon_sha256":"7a012dd7e651726186b7ecc73cdc19408ed267a42dded21a030da0deea89c6ce","abstract_canon_sha256":"439cc1ce960fc06bf2c93ea96df777b4b03aec76de402f8eca331baac23a75fe"},"schema_version":"1.0"},"canonical_sha256":"a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:13:06.392715Z","signature_b64":"ZMqhW+VCZkOFgLuYSwj9dcw9F0oSa3njtfr5jBIfWQXhle7xnBa8C6qniJTR/HeAiYtVTZXHERRETMS5CO8IAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39","last_reissued_at":"2026-05-18T04:13:06.392137Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:13:06.392137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1109.3053","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":"2026-05-18T04:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qeIAxDTTRsb8/QU8PKNKvYj2R9bk4vicppA/jy9vhJSCOa5AL6QrFglMDaEyAJQw3G5p7ciZjVNh0K6SzZaCDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:38:54.632674Z"},"content_sha256":"1234deb26e5bb9942fa934e0684eb1e8af8d801aaec661bbc31c3e64b81acdf2","schema_version":"1.0","event_id":"sha256:1234deb26e5bb9942fa934e0684eb1e8af8d801aaec661bbc31c3e64b81acdf2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:U7BLWRQ3FEQACRZ3BYY3JZNZF7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On graded stable derived categories of isolated Gorenstein quotient singularities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Kazushi Ueda","submitted_at":"2011-09-14T11:26:45Z","abstract_excerpt":"We show the existence of a full exceptional collection in the graded stable derived category of a Gorenstein isolated quotient singularity using a result of Orlov (arXiv:math/0503632). We also show that the equivariant graded stable derived category of a Gorenstein Veronese subring of a polynomial ring with respect to an action of a finite group has a full strong exceptional collection, even if the corresponding quotient singularity is neither isolated nor Gorenstein."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3053","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":"2026-05-18T04:13:06Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A3PrSCFnS8oBGltT0Cm7rhGhA3w07/8/wYHibEIxPDS7rI2i8vAZr+Z9ugNxdpoX0SA2ZZccbPzWiTfSRKJWDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T20:38:54.633257Z"},"content_sha256":"b5cdfe65fa98d1775bc6b571987bb5a3262ae595a030506f661c2d422495aa77","schema_version":"1.0","event_id":"sha256:b5cdfe65fa98d1775bc6b571987bb5a3262ae595a030506f661c2d422495aa77"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7/bundle.json","state_url":"https://pith.science/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7/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":"2026-05-21T20:38:54Z","links":{"resolver":"https://pith.science/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7","bundle":"https://pith.science/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7/bundle.json","state":"https://pith.science/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/U7BLWRQ3FEQACRZ3BYY3JZNZF7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:U7BLWRQ3FEQACRZ3BYY3JZNZF7","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":"439cc1ce960fc06bf2c93ea96df777b4b03aec76de402f8eca331baac23a75fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-14T11:26:45Z","title_canon_sha256":"7a012dd7e651726186b7ecc73cdc19408ed267a42dded21a030da0deea89c6ce"},"schema_version":"1.0","source":{"id":"1109.3053","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.3053","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"arxiv_version","alias_value":"1109.3053v1","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.3053","created_at":"2026-05-18T04:13:06Z"},{"alias_kind":"pith_short_12","alias_value":"U7BLWRQ3FEQA","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"U7BLWRQ3FEQACRZ3","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"U7BLWRQ3","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:b5cdfe65fa98d1775bc6b571987bb5a3262ae595a030506f661c2d422495aa77","target":"graph","created_at":"2026-05-18T04:13:06Z","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 the existence of a full exceptional collection in the graded stable derived category of a Gorenstein isolated quotient singularity using a result of Orlov (arXiv:math/0503632). We also show that the equivariant graded stable derived category of a Gorenstein Veronese subring of a polynomial ring with respect to an action of a finite group has a full strong exceptional collection, even if the corresponding quotient singularity is neither isolated nor Gorenstein.","authors_text":"Kazushi Ueda","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-14T11:26:45Z","title":"On graded stable derived categories of isolated Gorenstein quotient singularities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.3053","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":"sha256:1234deb26e5bb9942fa934e0684eb1e8af8d801aaec661bbc31c3e64b81acdf2","target":"record","created_at":"2026-05-18T04:13:06Z","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":"439cc1ce960fc06bf2c93ea96df777b4b03aec76de402f8eca331baac23a75fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2011-09-14T11:26:45Z","title_canon_sha256":"7a012dd7e651726186b7ecc73cdc19408ed267a42dded21a030da0deea89c6ce"},"schema_version":"1.0","source":{"id":"1109.3053","kind":"arxiv","version":1}},"canonical_sha256":"a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a7c2bb461b292001473b0e31b4e5b92fd1c44ab9d622bbd9bb96243e370acb39","first_computed_at":"2026-05-18T04:13:06.392137Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:13:06.392137Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZMqhW+VCZkOFgLuYSwj9dcw9F0oSa3njtfr5jBIfWQXhle7xnBa8C6qniJTR/HeAiYtVTZXHERRETMS5CO8IAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:13:06.392715Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.3053","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1234deb26e5bb9942fa934e0684eb1e8af8d801aaec661bbc31c3e64b81acdf2","sha256:b5cdfe65fa98d1775bc6b571987bb5a3262ae595a030506f661c2d422495aa77"],"state_sha256":"c4bcbd4f6a874801ef9dc94e484c1701c2602cfcfcca3b7b1d86df305cbb5bc0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I4xW+Afq/Yb+opDK/rQihEnlBJRQ8EP6HcZ+1nnlrWlq1YIBuNnw0FCx4eZJwwRDPFK7Ojm49L39Vv+rxfb7Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T20:38:54.635853Z","bundle_sha256":"76c7aa659cbb2c0cff03a3bbce3691acfc2dda6fd8e452788ed92003ea44f0dc"}}