{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QYLQNIMWWTM3V3IOY7YDHWRKNX","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":"29ab1efaefedd25016b7995f548d9a04a63b498d54979651b58d216eef35fd2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-14T16:06:08Z","title_canon_sha256":"aa6328bff0c829052200ae6d880af2470726b5d1645b169d685a5677729e6ab8"},"schema_version":"1.0","source":{"id":"1209.3243","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.3243","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"arxiv_version","alias_value":"1209.3243v1","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.3243","created_at":"2026-05-18T03:45:32Z"},{"alias_kind":"pith_short_12","alias_value":"QYLQNIMWWTM3","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_16","alias_value":"QYLQNIMWWTM3V3IO","created_at":"2026-05-18T12:27:20Z"},{"alias_kind":"pith_short_8","alias_value":"QYLQNIMW","created_at":"2026-05-18T12:27:20Z"}],"graph_snapshots":[{"event_id":"sha256:a7374e41afd455f84ee338644188c8fc6709d61c2aeb7af930828eec458ba2fb","target":"graph","created_at":"2026-05-18T03:45:32Z","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":"Recently, Atiyah and LeBrun proved versions of the Gauss-Bonnet and Hirzebruch signature Theorems for metrics with edge-cone singularities in dimension four, which they applied to obtain an inequality of Hitchin-Thorpe type for Einstein edge-cone metrics. Interestingly, many natural examples of edge-cone metrics in dimension four are anti-self-dual (or self-dual depending upon choice of orientation). On such a space there is an important elliptic complex called the anti-self-dual deformation complex, whose index gives crucial information about the local structure of the moduli space of anti-se","authors_text":"Jeff A. Viaclovsky, Michael T. Lock","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-14T16:06:08Z","title":"An index theorem for anti-self-dual orbifold-cone metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.3243","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:a0a6c7cedbca9bd899cc6f8f433d64d1593462dc3daa1ce9dc91fedd14a320ec","target":"record","created_at":"2026-05-18T03:45:32Z","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":"29ab1efaefedd25016b7995f548d9a04a63b498d54979651b58d216eef35fd2c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2012-09-14T16:06:08Z","title_canon_sha256":"aa6328bff0c829052200ae6d880af2470726b5d1645b169d685a5677729e6ab8"},"schema_version":"1.0","source":{"id":"1209.3243","kind":"arxiv","version":1}},"canonical_sha256":"861706a196b4d9baed0ec7f033da2a6df667f9b91b5a4149b94539eabdc842a1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"861706a196b4d9baed0ec7f033da2a6df667f9b91b5a4149b94539eabdc842a1","first_computed_at":"2026-05-18T03:45:32.426913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:32.426913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AMnXw1/+uPtRU1G9+ae0AytZZBHcMOpwv8GU2Jb9Hh+jX7+9+/vnoV2bb0K67dJl4QId1IKssWpt3KrEMi+MAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:32.427306Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.3243","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a0a6c7cedbca9bd899cc6f8f433d64d1593462dc3daa1ce9dc91fedd14a320ec","sha256:a7374e41afd455f84ee338644188c8fc6709d61c2aeb7af930828eec458ba2fb"],"state_sha256":"e4592696b0a9fa842e9359b72f2cef108f797a9af01283b4d195a3cca794304e"}