{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:AIWZQVOKQ4PW6NG5ZUN6VBRNL6","short_pith_number":"pith:AIWZQVOK","canonical_record":{"source":{"id":"1610.02428","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-07T21:26:31Z","cross_cats_sorted":[],"title_canon_sha256":"51224183782e1ee36ec23c79472c7ea61437117b745a1ace64731eb423e43598","abstract_canon_sha256":"2f86124a0b1e7c3f06a3b89c347ce6ca60c03c51a73158729ce3595e0855114a"},"schema_version":"1.0"},"canonical_sha256":"022d9855ca871f6f34ddcd1bea862d5f929fb0f78a5a1e759db73c399ee7beac","source":{"kind":"arxiv","id":"1610.02428","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02428","created_at":"2026-05-17T23:53:01Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02428v2","created_at":"2026-05-17T23:53:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02428","created_at":"2026-05-17T23:53:01Z"},{"alias_kind":"pith_short_12","alias_value":"AIWZQVOKQ4PW","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AIWZQVOKQ4PW6NG5","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AIWZQVOK","created_at":"2026-05-18T12:30:07Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:AIWZQVOKQ4PW6NG5ZUN6VBRNL6","target":"record","payload":{"canonical_record":{"source":{"id":"1610.02428","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-07T21:26:31Z","cross_cats_sorted":[],"title_canon_sha256":"51224183782e1ee36ec23c79472c7ea61437117b745a1ace64731eb423e43598","abstract_canon_sha256":"2f86124a0b1e7c3f06a3b89c347ce6ca60c03c51a73158729ce3595e0855114a"},"schema_version":"1.0"},"canonical_sha256":"022d9855ca871f6f34ddcd1bea862d5f929fb0f78a5a1e759db73c399ee7beac","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:53:01.613303Z","signature_b64":"oYUHTwwx3rGFghAYSYAIdKmcU+E4HXcy1jxBYRQozi5mRAHn1L+RTx0QgOwo2ybb8XYyf85FLXH3EbGKQmlsDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"022d9855ca871f6f34ddcd1bea862d5f929fb0f78a5a1e759db73c399ee7beac","last_reissued_at":"2026-05-17T23:53:01.612707Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:53:01.612707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1610.02428","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:53:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oS5KOwUuj7aPTzGngSm6bm0PNJ6PnrfJhilEaEB6H44EaBvdAjHOB59vfS9m3HohHuzZV0wxR1MUji0LfkJpBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:06:57.755112Z"},"content_sha256":"7d90c6e83e05e3298efe7c8b827349672b1ff1860e1fff71e2bc0cd5f629b88b","schema_version":"1.0","event_id":"sha256:7d90c6e83e05e3298efe7c8b827349672b1ff1860e1fff71e2bc0cd5f629b88b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:AIWZQVOKQ4PW6NG5ZUN6VBRNL6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Calabi metric and desingularization of Einstein orbifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jeff A. Viaclovsky, Peyman Morteza","submitted_at":"2016-10-07T21:26:31Z","abstract_excerpt":"Consider an Einstein orbifold $(M_0,g_0)$ of real dimension $2n$ having a singularity with orbifold group the cyclic group of order $n$ in ${\\rm{SU}}(n)$ which is generated by an $n$th root of unity times the identity. Existence of a Ricci-flat K\\\"ahler ALE metric with this group at infinity was shown by Calabi. There is a natural \"approximate\" Einstein metric on the desingularization of $M_0$ obtained by replacing a small neighborhood of the singular point of the orbifold with a scaled and truncated Calabi metric. In this paper, we identify the first obstruction to perturbing this approximate"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02428","kind":"arxiv","version":2},"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":"2026-05-17T23:53:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jkm4jQEoRuuowz94d1X9AQRm2WTYOapneRJ6VJ113OCG0JXBw9xihY7lGlAii3pwA8wZ7o5LWq9vwepge+MVCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T19:06:57.755512Z"},"content_sha256":"43d5042f812a689fc85e23f60ac948a6ec1955812b81381a8647e35e008abe15","schema_version":"1.0","event_id":"sha256:43d5042f812a689fc85e23f60ac948a6ec1955812b81381a8647e35e008abe15"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6/bundle.json","state_url":"https://pith.science/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6/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":"2026-06-27T19:06:57Z","links":{"resolver":"https://pith.science/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6","bundle":"https://pith.science/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6/bundle.json","state":"https://pith.science/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AIWZQVOKQ4PW6NG5ZUN6VBRNL6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:AIWZQVOKQ4PW6NG5ZUN6VBRNL6","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":"2f86124a0b1e7c3f06a3b89c347ce6ca60c03c51a73158729ce3595e0855114a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-07T21:26:31Z","title_canon_sha256":"51224183782e1ee36ec23c79472c7ea61437117b745a1ace64731eb423e43598"},"schema_version":"1.0","source":{"id":"1610.02428","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1610.02428","created_at":"2026-05-17T23:53:01Z"},{"alias_kind":"arxiv_version","alias_value":"1610.02428v2","created_at":"2026-05-17T23:53:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.02428","created_at":"2026-05-17T23:53:01Z"},{"alias_kind":"pith_short_12","alias_value":"AIWZQVOKQ4PW","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_16","alias_value":"AIWZQVOKQ4PW6NG5","created_at":"2026-05-18T12:30:07Z"},{"alias_kind":"pith_short_8","alias_value":"AIWZQVOK","created_at":"2026-05-18T12:30:07Z"}],"graph_snapshots":[{"event_id":"sha256:43d5042f812a689fc85e23f60ac948a6ec1955812b81381a8647e35e008abe15","target":"graph","created_at":"2026-05-17T23:53:01Z","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":"Consider an Einstein orbifold $(M_0,g_0)$ of real dimension $2n$ having a singularity with orbifold group the cyclic group of order $n$ in ${\\rm{SU}}(n)$ which is generated by an $n$th root of unity times the identity. Existence of a Ricci-flat K\\\"ahler ALE metric with this group at infinity was shown by Calabi. There is a natural \"approximate\" Einstein metric on the desingularization of $M_0$ obtained by replacing a small neighborhood of the singular point of the orbifold with a scaled and truncated Calabi metric. In this paper, we identify the first obstruction to perturbing this approximate","authors_text":"Jeff A. Viaclovsky, Peyman Morteza","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-07T21:26:31Z","title":"The Calabi metric and desingularization of Einstein orbifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.02428","kind":"arxiv","version":2},"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":"sha256:7d90c6e83e05e3298efe7c8b827349672b1ff1860e1fff71e2bc0cd5f629b88b","target":"record","created_at":"2026-05-17T23:53:01Z","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":"2f86124a0b1e7c3f06a3b89c347ce6ca60c03c51a73158729ce3595e0855114a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-10-07T21:26:31Z","title_canon_sha256":"51224183782e1ee36ec23c79472c7ea61437117b745a1ace64731eb423e43598"},"schema_version":"1.0","source":{"id":"1610.02428","kind":"arxiv","version":2}},"canonical_sha256":"022d9855ca871f6f34ddcd1bea862d5f929fb0f78a5a1e759db73c399ee7beac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"022d9855ca871f6f34ddcd1bea862d5f929fb0f78a5a1e759db73c399ee7beac","first_computed_at":"2026-05-17T23:53:01.612707Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:53:01.612707Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oYUHTwwx3rGFghAYSYAIdKmcU+E4HXcy1jxBYRQozi5mRAHn1L+RTx0QgOwo2ybb8XYyf85FLXH3EbGKQmlsDQ==","signature_status":"signed_v1","signed_at":"2026-05-17T23:53:01.613303Z","signed_message":"canonical_sha256_bytes"},"source_id":"1610.02428","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d90c6e83e05e3298efe7c8b827349672b1ff1860e1fff71e2bc0cd5f629b88b","sha256:43d5042f812a689fc85e23f60ac948a6ec1955812b81381a8647e35e008abe15"],"state_sha256":"f3b07c0bcc3640b806a1229dc8fda9b6d6452ac1bb6310439f4eeb6db6d0644b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"J2Div4hQgYkv8H1ZqIb13paEqveqQTvaTVsqsG/u7FyLPYzWnJTQBPYtCzZjWdtNEGCMdRpiy4O6CeE/5zd3Cg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T19:06:57.757459Z","bundle_sha256":"8ba0fcab6c6b4c32e62da21f92cc2ffe614a984d900a774a21337c7dc82f7782"}}