{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:NBPNAIFN3P7SLLCOF6NPWRQR5K","short_pith_number":"pith:NBPNAIFN","canonical_record":{"source":{"id":"1110.2524","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-11T22:37:07Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5884975e592fd695899e0e0f09113f92e9a2f55cc8dfc1f48daf30a6cbce8954","abstract_canon_sha256":"6a71a7545667d9b07d433e18e98848d71218f86744e0ca97f09f84f8e1e72557"},"schema_version":"1.0"},"canonical_sha256":"685ed020addbff25ac4e2f9afb4611ea96ddb9a8d79290610cff77f0467fcc8e","source":{"kind":"arxiv","id":"1110.2524","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2524","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2524v3","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2524","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"NBPNAIFN3P7S","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NBPNAIFN3P7SLLCO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NBPNAIFN","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:NBPNAIFN3P7SLLCOF6NPWRQR5K","target":"record","payload":{"canonical_record":{"source":{"id":"1110.2524","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-11T22:37:07Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"5884975e592fd695899e0e0f09113f92e9a2f55cc8dfc1f48daf30a6cbce8954","abstract_canon_sha256":"6a71a7545667d9b07d433e18e98848d71218f86744e0ca97f09f84f8e1e72557"},"schema_version":"1.0"},"canonical_sha256":"685ed020addbff25ac4e2f9afb4611ea96ddb9a8d79290610cff77f0467fcc8e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:57:07.032864Z","signature_b64":"/taEfwVg6YVlJ3KYKgBsTr+neepKItMbVAk12+a/yC/tIujfataW+JFtjBnXGZ0pJ+hq7uwScXLi56Du6pfgBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"685ed020addbff25ac4e2f9afb4611ea96ddb9a8d79290610cff77f0467fcc8e","last_reissued_at":"2026-05-18T02:57:07.032362Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:57:07.032362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1110.2524","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":"2026-05-18T02:57:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GhfcgaD3msBliZJyNgL7vyaZWoxuimMj3afN+CYj+0ehEt8lBEpXsJcRI7S50mliKzbX242uoDRSMojWS4xJBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:08:51.275419Z"},"content_sha256":"dc67ac251de2c3c58f0cab670615a3a3d9b3fe41d9ee3ba74d156149029ab374","schema_version":"1.0","event_id":"sha256:dc67ac251de2c3c58f0cab670615a3a3d9b3fe41d9ee3ba74d156149029ab374"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:NBPNAIFN3P7SLLCOF6NPWRQR5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A McKay-Like Correspondence for (0,2)-Deformations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AG"],"primary_cat":"hep-th","authors_text":"Paul S. Aspinwall","submitted_at":"2011-10-11T22:37:07Z","abstract_excerpt":"We present a local computation of deformations of the tangent bundle for a resolved orbifold singularity C^d/G. These correspond to (0,2)-deformations of (2,2)-theories. A McKay-like correspondence is found predicting the dimension of the space of first-order deformations from simple calculations involving the group. This is confirmed in two dimensions using the Kronheimer-Nakajima quiver construction. In higher dimensions such a computation is subject to nontrivial worldsheet instanton corrections and some examples are given where this happens. However, we conjecture that the special crepant "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2524","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":"2026-05-18T02:57:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JxXo/ny0RghVXfdwr/quLw4uUWNOB76X2e9p0FOCngG9bTcppkRICB2ljuPfTGTsG0q1FiNdVCi2qo8YY7iQDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T05:08:51.275770Z"},"content_sha256":"845d878fc5c51c0b21ef3bdbaa5cd3b1a2fd23506fa4f456a2479b2b5a612a75","schema_version":"1.0","event_id":"sha256:845d878fc5c51c0b21ef3bdbaa5cd3b1a2fd23506fa4f456a2479b2b5a612a75"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K/bundle.json","state_url":"https://pith.science/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K/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":"2026-05-30T05:08:51Z","links":{"resolver":"https://pith.science/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K","bundle":"https://pith.science/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K/bundle.json","state":"https://pith.science/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NBPNAIFN3P7SLLCOF6NPWRQR5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:NBPNAIFN3P7SLLCOF6NPWRQR5K","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":"6a71a7545667d9b07d433e18e98848d71218f86744e0ca97f09f84f8e1e72557","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-11T22:37:07Z","title_canon_sha256":"5884975e592fd695899e0e0f09113f92e9a2f55cc8dfc1f48daf30a6cbce8954"},"schema_version":"1.0","source":{"id":"1110.2524","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.2524","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"arxiv_version","alias_value":"1110.2524v3","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.2524","created_at":"2026-05-18T02:57:07Z"},{"alias_kind":"pith_short_12","alias_value":"NBPNAIFN3P7S","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"NBPNAIFN3P7SLLCO","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"NBPNAIFN","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:845d878fc5c51c0b21ef3bdbaa5cd3b1a2fd23506fa4f456a2479b2b5a612a75","target":"graph","created_at":"2026-05-18T02:57:07Z","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 present a local computation of deformations of the tangent bundle for a resolved orbifold singularity C^d/G. These correspond to (0,2)-deformations of (2,2)-theories. A McKay-like correspondence is found predicting the dimension of the space of first-order deformations from simple calculations involving the group. This is confirmed in two dimensions using the Kronheimer-Nakajima quiver construction. In higher dimensions such a computation is subject to nontrivial worldsheet instanton corrections and some examples are given where this happens. However, we conjecture that the special crepant ","authors_text":"Paul S. Aspinwall","cross_cats":["math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-11T22:37:07Z","title":"A McKay-Like Correspondence for (0,2)-Deformations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.2524","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:dc67ac251de2c3c58f0cab670615a3a3d9b3fe41d9ee3ba74d156149029ab374","target":"record","created_at":"2026-05-18T02:57:07Z","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":"6a71a7545667d9b07d433e18e98848d71218f86744e0ca97f09f84f8e1e72557","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-10-11T22:37:07Z","title_canon_sha256":"5884975e592fd695899e0e0f09113f92e9a2f55cc8dfc1f48daf30a6cbce8954"},"schema_version":"1.0","source":{"id":"1110.2524","kind":"arxiv","version":3}},"canonical_sha256":"685ed020addbff25ac4e2f9afb4611ea96ddb9a8d79290610cff77f0467fcc8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685ed020addbff25ac4e2f9afb4611ea96ddb9a8d79290610cff77f0467fcc8e","first_computed_at":"2026-05-18T02:57:07.032362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:57:07.032362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/taEfwVg6YVlJ3KYKgBsTr+neepKItMbVAk12+a/yC/tIujfataW+JFtjBnXGZ0pJ+hq7uwScXLi56Du6pfgBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:57:07.032864Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.2524","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dc67ac251de2c3c58f0cab670615a3a3d9b3fe41d9ee3ba74d156149029ab374","sha256:845d878fc5c51c0b21ef3bdbaa5cd3b1a2fd23506fa4f456a2479b2b5a612a75"],"state_sha256":"1138cfb2301f1efdcf05b9cfca4af7e9d2fa2cf4acff7337cb84e68d14943635"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0EOTDAbS2zk8H7K4cZTRSGueJ+e7+zy9ZsYyAOxSaURdk4+4wVipUUBn+2SW3uA9UGFPTpNqYISM9SNIxPW3CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T05:08:51.277722Z","bundle_sha256":"37b9505aac8a0137dffcefa3197347b3ff75d1dfdd5cea19fec4ab364de2579b"}}