{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:62Q7KH6HUT2B4SVNBEQS4NEJRR","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":"e1d6f388c56709b360b1b0e7e0d4d7612cd6ce7675d7fb19de20692337d94015","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-24T18:49:17Z","title_canon_sha256":"8dcd113a543eb51584da20245d7d03181a9c744bf0fd86f040a0761be7d76230"},"schema_version":"1.0","source":{"id":"1603.07702","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07702","created_at":"2026-07-05T02:22:32Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07702v3","created_at":"2026-07-05T02:22:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07702","created_at":"2026-07-05T02:22:32Z"},{"alias_kind":"pith_short_12","alias_value":"62Q7KH6HUT2B","created_at":"2026-07-05T02:22:32Z"},{"alias_kind":"pith_short_16","alias_value":"62Q7KH6HUT2B4SVN","created_at":"2026-07-05T02:22:32Z"},{"alias_kind":"pith_short_8","alias_value":"62Q7KH6H","created_at":"2026-07-05T02:22:32Z"}],"graph_snapshots":[{"event_id":"sha256:3c41d8624f23c7a5420e6319cea3c74ca11397ce04422f69ef523564cf3b5f12","target":"graph","created_at":"2026-07-05T02:22:32Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1603.07702/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove an analogue of the Donaldson-Uhlenbeck-Yau theorem for asymptotically cylindrical K\\\"ahler manifolds: If $\\mathscr{E}$ is a reflexive sheaf over an ACyl K\\\"ahler manifold, which is asymptotic to a $\\mu$-stable holomorphic vector bundle, then it admits an asymptotically translation-invariant protectively Hermitian Yang-Mills metrics (with curvature in $L^2_{\\mathrm{loc}}$ across the singular set). Our proof combines the analytic continuity method of Uhlenbeck and Yau [UY86] with the geometric regularization scheme introduced by Bando and Siu [BS94].","authors_text":"Adam Jacob, Thomas Walpuski","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-24T18:49:17Z","title":"Hermitian Yang-Mills metrics on reflexive sheaves over asymptotically cylindrical K\\\"ahler manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07702","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":"sha256:22bf3bfbe2894c184d2d2d050f6a008c112a9a0c45fe23c403d52e3c0b36de3a","target":"record","created_at":"2026-07-05T02:22:32Z","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":"e1d6f388c56709b360b1b0e7e0d4d7612cd6ce7675d7fb19de20692337d94015","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2016-03-24T18:49:17Z","title_canon_sha256":"8dcd113a543eb51584da20245d7d03181a9c744bf0fd86f040a0761be7d76230"},"schema_version":"1.0","source":{"id":"1603.07702","kind":"arxiv","version":3}},"canonical_sha256":"f6a1f51fc7a4f41e4aad09212e34898c792e1f1c735cad047bb090a97f6c95f1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f6a1f51fc7a4f41e4aad09212e34898c792e1f1c735cad047bb090a97f6c95f1","first_computed_at":"2026-07-05T02:22:32.354586Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:22:32.354586Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/22t27Xu4FbpK5jPm/Il40+I+au/6QMof362UtUlHWEbuIhrhFV2NeGbP4Nw/INB0YxJKZc6HsRhfA3PGZTRDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:22:32.355030Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07702","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:22bf3bfbe2894c184d2d2d050f6a008c112a9a0c45fe23c403d52e3c0b36de3a","sha256:3c41d8624f23c7a5420e6319cea3c74ca11397ce04422f69ef523564cf3b5f12"],"state_sha256":"f9e9c80c6cd9bab5d1c6834bb3f81ec42402d5ff70ee998107a36e89b385406e"}