{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:ZPBAKDBZKQYUR7TAZNHJXPLFFK","short_pith_number":"pith:ZPBAKDBZ","canonical_record":{"source":{"id":"1012.3107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-14T17:57:23Z","cross_cats_sorted":[],"title_canon_sha256":"70fe36210e147fe691f6e2f919d11b78c710e915e7b6e9ab592f6d587c5045a1","abstract_canon_sha256":"130816c4d687ccb0ba42fad016b24b2f089cd4bb38d071766ceda1706949fd3d"},"schema_version":"1.0"},"canonical_sha256":"cbc2050c39543148fe60cb4e9bbd652abc8a52e93f32c15ec0cb2882641caaf7","source":{"kind":"arxiv","id":"1012.3107","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3107","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3107v1","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3107","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZPBAKDBZKQYU","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZPBAKDBZKQYUR7TA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZPBAKDBZ","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:ZPBAKDBZKQYUR7TAZNHJXPLFFK","target":"record","payload":{"canonical_record":{"source":{"id":"1012.3107","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-14T17:57:23Z","cross_cats_sorted":[],"title_canon_sha256":"70fe36210e147fe691f6e2f919d11b78c710e915e7b6e9ab592f6d587c5045a1","abstract_canon_sha256":"130816c4d687ccb0ba42fad016b24b2f089cd4bb38d071766ceda1706949fd3d"},"schema_version":"1.0"},"canonical_sha256":"cbc2050c39543148fe60cb4e9bbd652abc8a52e93f32c15ec0cb2882641caaf7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:33:18.594470Z","signature_b64":"F03jhIxeU900jZseuDtaYbNxDvjojTGa/x7WAkW4l8wgZDe5zcvZMeWH8xJko57x9Ea3AMLL0/8zXJtKJ/sTAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbc2050c39543148fe60cb4e9bbd652abc8a52e93f32c15ec0cb2882641caaf7","last_reissued_at":"2026-05-18T04:33:18.593695Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:33:18.593695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1012.3107","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":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eygiu3ayZZKXV1nLW+aWLTGIMulKx17vqivSoKXJsdXFQFKeIr37+UuXZcnteUWhmRjpwPXHSEEMrGKcAZyoDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T01:26:37.096719Z"},"content_sha256":"1f9f16464e951061d82e9037f7c42b57a6ce3898c7dcfb3728ac30a3f8b9c709","schema_version":"1.0","event_id":"sha256:1f9f16464e951061d82e9037f7c42b57a6ce3898c7dcfb3728ac30a3f8b9c709"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:ZPBAKDBZKQYUR7TAZNHJXPLFFK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Existence of Hermitian-Yang-Mills metrics under conifold transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ming-Tao Chuan","submitted_at":"2010-12-14T17:57:23Z","abstract_excerpt":"We first study the degeneration of a sequence of Hermitian-Yang-Mills metrics with respect to a sequence of balanced metrics on a Calabi-Yau threefold $\\hat{X}$ that degenerates to the balanced metric constructed by Fu, Li, and Yau on the complement of finitely many (-1,-1)-curves in $\\hat{X}$. Then under some assumptions we show the existence of Hermitian-Yang-Mills metrics on bundles over a family of threefolds $X_t$ with trivial canonical bundles obtained by performing conifold transitions on $\\hat{X}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3107","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":"2026-05-18T04:33:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W48h0oZ9DDQswCh9Qs/EVXCut5r+254eP67+vYSL4GZ7jfLGuszSVRxcCNJKuXS9EnTrMtEacqkvZ/N8x8nbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T01:26:37.097497Z"},"content_sha256":"336ba1457491cf32c64fbec58cb956f5a920d17ee2cb8791f1786c7f8981940f","schema_version":"1.0","event_id":"sha256:336ba1457491cf32c64fbec58cb956f5a920d17ee2cb8791f1786c7f8981940f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK/bundle.json","state_url":"https://pith.science/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK/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":"2026-08-11T01:26:37Z","links":{"resolver":"https://pith.science/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK","bundle":"https://pith.science/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK/bundle.json","state":"https://pith.science/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZPBAKDBZKQYUR7TAZNHJXPLFFK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:ZPBAKDBZKQYUR7TAZNHJXPLFFK","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":"130816c4d687ccb0ba42fad016b24b2f089cd4bb38d071766ceda1706949fd3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-14T17:57:23Z","title_canon_sha256":"70fe36210e147fe691f6e2f919d11b78c710e915e7b6e9ab592f6d587c5045a1"},"schema_version":"1.0","source":{"id":"1012.3107","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1012.3107","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"arxiv_version","alias_value":"1012.3107v1","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.3107","created_at":"2026-05-18T04:33:18Z"},{"alias_kind":"pith_short_12","alias_value":"ZPBAKDBZKQYU","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"ZPBAKDBZKQYUR7TA","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"ZPBAKDBZ","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:336ba1457491cf32c64fbec58cb956f5a920d17ee2cb8791f1786c7f8981940f","target":"graph","created_at":"2026-05-18T04:33:18Z","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 first study the degeneration of a sequence of Hermitian-Yang-Mills metrics with respect to a sequence of balanced metrics on a Calabi-Yau threefold $\\hat{X}$ that degenerates to the balanced metric constructed by Fu, Li, and Yau on the complement of finitely many (-1,-1)-curves in $\\hat{X}$. Then under some assumptions we show the existence of Hermitian-Yang-Mills metrics on bundles over a family of threefolds $X_t$ with trivial canonical bundles obtained by performing conifold transitions on $\\hat{X}$.","authors_text":"Ming-Tao Chuan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-14T17:57:23Z","title":"Existence of Hermitian-Yang-Mills metrics under conifold transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.3107","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":"sha256:1f9f16464e951061d82e9037f7c42b57a6ce3898c7dcfb3728ac30a3f8b9c709","target":"record","created_at":"2026-05-18T04:33:18Z","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":"130816c4d687ccb0ba42fad016b24b2f089cd4bb38d071766ceda1706949fd3d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2010-12-14T17:57:23Z","title_canon_sha256":"70fe36210e147fe691f6e2f919d11b78c710e915e7b6e9ab592f6d587c5045a1"},"schema_version":"1.0","source":{"id":"1012.3107","kind":"arxiv","version":1}},"canonical_sha256":"cbc2050c39543148fe60cb4e9bbd652abc8a52e93f32c15ec0cb2882641caaf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbc2050c39543148fe60cb4e9bbd652abc8a52e93f32c15ec0cb2882641caaf7","first_computed_at":"2026-05-18T04:33:18.593695Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:18.593695Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"F03jhIxeU900jZseuDtaYbNxDvjojTGa/x7WAkW4l8wgZDe5zcvZMeWH8xJko57x9Ea3AMLL0/8zXJtKJ/sTAA==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:18.594470Z","signed_message":"canonical_sha256_bytes"},"source_id":"1012.3107","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f9f16464e951061d82e9037f7c42b57a6ce3898c7dcfb3728ac30a3f8b9c709","sha256:336ba1457491cf32c64fbec58cb956f5a920d17ee2cb8791f1786c7f8981940f"],"state_sha256":"c27666abcd079ed09e3be71a80f9e4fab0f8d521fce9834d77dd6b79ddb5dad9"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yQ7Q1r+GoBsJV/7jmBJMPJNIcYyDZBSaCbw85VilF9Gxd7YIv3/lcJ33IqcmKDW+lawMDyGSzPyjSNQCdkUoCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T01:26:37.103612Z","bundle_sha256":"b9350f33efb9a237b2e394b0ef48afc8b3065b638b1d5ba8b3de3b42e49b91b6"}}