{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:Z6NHFHTEALWRMD7MVKYJQVUZPU","short_pith_number":"pith:Z6NHFHTE","canonical_record":{"source":{"id":"math/0505239","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-05-12T03:51:37Z","cross_cats_sorted":[],"title_canon_sha256":"97ff027bd8cf8ade9392bad772c6e856e0ff124181d01bcd0dddbc70e2d04f6f","abstract_canon_sha256":"06074d9834333776e9537a61710355aac097753f393b8b01494190427907adc3"},"schema_version":"1.0"},"canonical_sha256":"cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840","source":{"kind":"arxiv","id":"math/0505239","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0505239","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"arxiv_version","alias_value":"math/0505239v1","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0505239","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"pith_short_12","alias_value":"Z6NHFHTEALWR","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"pith_short_16","alias_value":"Z6NHFHTEALWRMD7M","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"pith_short_8","alias_value":"Z6NHFHTE","created_at":"2026-07-04T14:39:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:Z6NHFHTEALWRMD7MVKYJQVUZPU","target":"record","payload":{"canonical_record":{"source":{"id":"math/0505239","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AG","submitted_at":"2005-05-12T03:51:37Z","cross_cats_sorted":[],"title_canon_sha256":"97ff027bd8cf8ade9392bad772c6e856e0ff124181d01bcd0dddbc70e2d04f6f","abstract_canon_sha256":"06074d9834333776e9537a61710355aac097753f393b8b01494190427907adc3"},"schema_version":"1.0"},"canonical_sha256":"cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:39:58.384796Z","signature_b64":"BMNX9u2bfXIgHFNn6pqMAJ77p/2F4bVzMvG0xJ/YFDqYx8qxOm86Q65TY8S+Wyz4t9w7iNvuhnTAifRG3sn8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840","last_reissued_at":"2026-07-04T14:39:58.384334Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:39:58.384334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"math/0505239","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":"2026-07-04T14:39:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tDwElLDz4xBPll2rW+GWZrSEW3L+tC3fWrn4Fa4KUlp41klq0cl84D1Ih84zZ0GB8RTxsJRP4Kud1Zdsq0oSAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T23:07:14.817380Z"},"content_sha256":"d05fd5f4126c0bf9f3da48fbf51a96b55dc9a21a7709a161fb0f0b9b856e9bb0","schema_version":"1.0","event_id":"sha256:d05fd5f4126c0bf9f3da48fbf51a96b55dc9a21a7709a161fb0f0b9b856e9bb0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:Z6NHFHTEALWRMD7MVKYJQVUZPU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface","license":"","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Jaeyoo Choy, Young-Hoon Kiem","submitted_at":"2005-05-12T03:51:37Z","abstract_excerpt":"Let J be an abelian surface with a generic ample line bundle O(1). For n>0, the moduli space M(2, 0, 2n) of O(1)-semistable sheaves F of rank 2 with Chern classes c_1(F) = 0, c_2(F) = 2n is a singular projective variety, endowed with a holomorphic symplectic structure on the smooth locus. In this paper, we show that there does not exist a crepant resolution of M(2; 0; 2n) for n>1. This certainly implies that there is no symplectic desingularization of M(2, 0, 2n) for n>1."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0505239","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/math/0505239/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":"2026-07-04T14:39:58Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sX2e7SRS6y0qQVIQ5uGZsz7tH07j8yNDlhT/wTW8mUjfC7D3LLPqgjwJICKiiwhgq43IFnyAd3DaHfg7dFVGCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T23:07:14.817956Z"},"content_sha256":"8bcf817f251eb74bc6db310a6409d9e77569e14f21efc679cf24777b8a449eb5","schema_version":"1.0","event_id":"sha256:8bcf817f251eb74bc6db310a6409d9e77569e14f21efc679cf24777b8a449eb5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU/bundle.json","state_url":"https://pith.science/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU/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":"2026-08-04T23:07:14Z","links":{"resolver":"https://pith.science/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU","bundle":"https://pith.science/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU/bundle.json","state":"https://pith.science/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Z6NHFHTEALWRMD7MVKYJQVUZPU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:Z6NHFHTEALWRMD7MVKYJQVUZPU","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":"06074d9834333776e9537a61710355aac097753f393b8b01494190427907adc3","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2005-05-12T03:51:37Z","title_canon_sha256":"97ff027bd8cf8ade9392bad772c6e856e0ff124181d01bcd0dddbc70e2d04f6f"},"schema_version":"1.0","source":{"id":"math/0505239","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0505239","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"arxiv_version","alias_value":"math/0505239v1","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0505239","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"pith_short_12","alias_value":"Z6NHFHTEALWR","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"pith_short_16","alias_value":"Z6NHFHTEALWRMD7M","created_at":"2026-07-04T14:39:58Z"},{"alias_kind":"pith_short_8","alias_value":"Z6NHFHTE","created_at":"2026-07-04T14:39:58Z"}],"graph_snapshots":[{"event_id":"sha256:8bcf817f251eb74bc6db310a6409d9e77569e14f21efc679cf24777b8a449eb5","target":"graph","created_at":"2026-07-04T14:39:58Z","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/math/0505239/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Let J be an abelian surface with a generic ample line bundle O(1). For n>0, the moduli space M(2, 0, 2n) of O(1)-semistable sheaves F of rank 2 with Chern classes c_1(F) = 0, c_2(F) = 2n is a singular projective variety, endowed with a holomorphic symplectic structure on the smooth locus. In this paper, we show that there does not exist a crepant resolution of M(2; 0; 2n) for n>1. This certainly implies that there is no symplectic desingularization of M(2, 0, 2n) for n>1.","authors_text":"Jaeyoo Choy, Young-Hoon Kiem","cross_cats":[],"headline":"","license":"","primary_cat":"math.AG","submitted_at":"2005-05-12T03:51:37Z","title":"On the existence of a crepant resolution of some moduli spaces of sheaves on an abelian surface"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0505239","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:d05fd5f4126c0bf9f3da48fbf51a96b55dc9a21a7709a161fb0f0b9b856e9bb0","target":"record","created_at":"2026-07-04T14:39:58Z","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":"06074d9834333776e9537a61710355aac097753f393b8b01494190427907adc3","cross_cats_sorted":[],"license":"","primary_cat":"math.AG","submitted_at":"2005-05-12T03:51:37Z","title_canon_sha256":"97ff027bd8cf8ade9392bad772c6e856e0ff124181d01bcd0dddbc70e2d04f6f"},"schema_version":"1.0","source":{"id":"math/0505239","kind":"arxiv","version":1}},"canonical_sha256":"cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cf9a729e6402ed160fecaab09856997d04b26f9b9fe4944497cca66f99b67840","first_computed_at":"2026-07-04T14:39:58.384334Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:39:58.384334Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BMNX9u2bfXIgHFNn6pqMAJ77p/2F4bVzMvG0xJ/YFDqYx8qxOm86Q65TY8S+Wyz4t9w7iNvuhnTAifRG3sn8Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:39:58.384796Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0505239","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d05fd5f4126c0bf9f3da48fbf51a96b55dc9a21a7709a161fb0f0b9b856e9bb0","sha256:8bcf817f251eb74bc6db310a6409d9e77569e14f21efc679cf24777b8a449eb5"],"state_sha256":"de3e9e6b925bef255b94ea009095db329d253b63e73300d4aac384293429ff87"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mTpwIYZr3B4RudOfCNQ34EjpANuqQenrL3UTeYJMyOCqhiA+bVVUHJbYlYaJe/I2dDCKN4F/IQh4VNlAb1gtAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T23:07:14.822956Z","bundle_sha256":"2bd18b9c6646f802013464a2cc676a1086423e4aef6591869b83f584a5871e6b"}}