{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:LDMSPZ2S7PM7JLHBSOKO33AZAZ","short_pith_number":"pith:LDMSPZ2S","canonical_record":{"source":{"id":"1907.05770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-12T14:39:58Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"e10a0841a22b0ea1d60723cc02711ed8324fdc034e0e87857b84b8c7b76872dd","abstract_canon_sha256":"bfe122ef181f4a2723139e23a657cc264f715e485c43139f01439bf9c1364d2f"},"schema_version":"1.0"},"canonical_sha256":"58d927e752fbd9f4ace19394edec19065f9d85487761b1a41e5614def50197a5","source":{"kind":"arxiv","id":"1907.05770","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.05770","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"arxiv_version","alias_value":"1907.05770v1","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05770","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"pith_short_12","alias_value":"LDMSPZ2S7PM7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LDMSPZ2S7PM7JLHB","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LDMSPZ2S","created_at":"2026-05-18T12:33:21Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:LDMSPZ2S7PM7JLHBSOKO33AZAZ","target":"record","payload":{"canonical_record":{"source":{"id":"1907.05770","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-12T14:39:58Z","cross_cats_sorted":["math.CV","math.DG"],"title_canon_sha256":"e10a0841a22b0ea1d60723cc02711ed8324fdc034e0e87857b84b8c7b76872dd","abstract_canon_sha256":"bfe122ef181f4a2723139e23a657cc264f715e485c43139f01439bf9c1364d2f"},"schema_version":"1.0"},"canonical_sha256":"58d927e752fbd9f4ace19394edec19065f9d85487761b1a41e5614def50197a5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:40:44.463476Z","signature_b64":"rJmFcwWSyBxMHyVNQgF8eVLVj31pM40NZ6rErhHXDsuoGFufWK7u5dS/ssqnxE7JNToSfyScJsdSMUYQsuiEAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58d927e752fbd9f4ace19394edec19065f9d85487761b1a41e5614def50197a5","last_reissued_at":"2026-05-17T23:40:44.462976Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:40:44.462976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1907.05770","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":"2026-05-17T23:40:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0yf3/9kGtyzRJktIatRJ4TaZNi1LwrPslVhmSJtBlQ8sMXfV7EGuGzUqrCGp0AHYQNDvKhcT6IR0a/fpAGPkDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:33:23.670216Z"},"content_sha256":"6464d2fc4589442ac9333e29a1a2bcbcf50c21921d8348f1b9a88c266d7d0271","schema_version":"1.0","event_id":"sha256:6464d2fc4589442ac9333e29a1a2bcbcf50c21921d8348f1b9a88c266d7d0271"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:LDMSPZ2S7PM7JLHBSOKO33AZAZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CV","math.DG"],"primary_cat":"math.AG","authors_text":"Julien Keller, Yoshinori Hashimoto","submitted_at":"2019-07-12T14:39:58Z","abstract_excerpt":"This is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme limit and variational properties of Donaldson's functional, which established its coercivity for slope stable holomorphic vector bundles over smooth projective varieties. Assuming that the coercivity is uniform in a certain sense, we provide a new proof of the Donaldson-Uhlenbeck-Yau theorem, in such a way that the analysis involved in the proof is elementary except for the asymptotic expansion of the Bergman kernel."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05770","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":"2026-05-17T23:40:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"94zClp+yCO0SRi+XsDdzZozsAEBb0zlnUmkccfECspgkF0uSiifnJIOirqggKfqnEOoIAaquNod/mnMBZ8F/AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T22:33:23.670605Z"},"content_sha256":"3b3c98bba5ee8f492e8fcee401a0cd5c4ca635e923f49d5c0170d1927996d66a","schema_version":"1.0","event_id":"sha256:3b3c98bba5ee8f492e8fcee401a0cd5c4ca635e923f49d5c0170d1927996d66a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ/bundle.json","state_url":"https://pith.science/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ/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":"2026-05-26T22:33:23Z","links":{"resolver":"https://pith.science/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ","bundle":"https://pith.science/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ/bundle.json","state":"https://pith.science/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LDMSPZ2S7PM7JLHBSOKO33AZAZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:LDMSPZ2S7PM7JLHBSOKO33AZAZ","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":"bfe122ef181f4a2723139e23a657cc264f715e485c43139f01439bf9c1364d2f","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-12T14:39:58Z","title_canon_sha256":"e10a0841a22b0ea1d60723cc02711ed8324fdc034e0e87857b84b8c7b76872dd"},"schema_version":"1.0","source":{"id":"1907.05770","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1907.05770","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"arxiv_version","alias_value":"1907.05770v1","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1907.05770","created_at":"2026-05-17T23:40:44Z"},{"alias_kind":"pith_short_12","alias_value":"LDMSPZ2S7PM7","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_16","alias_value":"LDMSPZ2S7PM7JLHB","created_at":"2026-05-18T12:33:21Z"},{"alias_kind":"pith_short_8","alias_value":"LDMSPZ2S","created_at":"2026-05-18T12:33:21Z"}],"graph_snapshots":[{"event_id":"sha256:3b3c98bba5ee8f492e8fcee401a0cd5c4ca635e923f49d5c0170d1927996d66a","target":"graph","created_at":"2026-05-17T23:40:44Z","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":"This is a sequel of our paper [arXiv:1809.08425] on the Quot-scheme limit and variational properties of Donaldson's functional, which established its coercivity for slope stable holomorphic vector bundles over smooth projective varieties. Assuming that the coercivity is uniform in a certain sense, we provide a new proof of the Donaldson-Uhlenbeck-Yau theorem, in such a way that the analysis involved in the proof is elementary except for the asymptotic expansion of the Bergman kernel.","authors_text":"Julien Keller, Yoshinori Hashimoto","cross_cats":["math.CV","math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-12T14:39:58Z","title":"A variational approach to the Hermitian-Einstein metrics and the Quot-scheme limit of Fubini-Study metrics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1907.05770","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":"sha256:6464d2fc4589442ac9333e29a1a2bcbcf50c21921d8348f1b9a88c266d7d0271","target":"record","created_at":"2026-05-17T23:40:44Z","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":"bfe122ef181f4a2723139e23a657cc264f715e485c43139f01439bf9c1364d2f","cross_cats_sorted":["math.CV","math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-07-12T14:39:58Z","title_canon_sha256":"e10a0841a22b0ea1d60723cc02711ed8324fdc034e0e87857b84b8c7b76872dd"},"schema_version":"1.0","source":{"id":"1907.05770","kind":"arxiv","version":1}},"canonical_sha256":"58d927e752fbd9f4ace19394edec19065f9d85487761b1a41e5614def50197a5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58d927e752fbd9f4ace19394edec19065f9d85487761b1a41e5614def50197a5","first_computed_at":"2026-05-17T23:40:44.462976Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:40:44.462976Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rJmFcwWSyBxMHyVNQgF8eVLVj31pM40NZ6rErhHXDsuoGFufWK7u5dS/ssqnxE7JNToSfyScJsdSMUYQsuiEAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:40:44.463476Z","signed_message":"canonical_sha256_bytes"},"source_id":"1907.05770","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6464d2fc4589442ac9333e29a1a2bcbcf50c21921d8348f1b9a88c266d7d0271","sha256:3b3c98bba5ee8f492e8fcee401a0cd5c4ca635e923f49d5c0170d1927996d66a"],"state_sha256":"d85f0e39b718ff6e5ca38404560140dfd82b76508b627edea60fcc5b2de34cdf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RMhCGtopVFMDo7y6u9aMwCCJHIMkcHuC0SG+Nyy9w6YS8FeH4T9pCC5ox6mwSW1s2BSCzoEelc6bo7WZxM62Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T22:33:23.672886Z","bundle_sha256":"4c6ce8a061e0613ccfa3995c27063fd7e09cda38ec87ddef51b83c93f0d4d405"}}