{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZCZIVQED2DURPGLZIBR67FFXB7","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":"988d66b6bcdd83ef573da6b5239e42cca5aa34b598411fa48eca8644e85e00e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-30T22:32:50Z","title_canon_sha256":"10299b3144af0441cea9b84e6974dbf648784e35a928b9cf10932fb108c54374"},"schema_version":"1.0","source":{"id":"1403.7825","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.7825","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"arxiv_version","alias_value":"1403.7825v1","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.7825","created_at":"2026-05-18T02:55:12Z"},{"alias_kind":"pith_short_12","alias_value":"ZCZIVQED2DUR","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZCZIVQED2DURPGLZ","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZCZIVQED","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:74ec8aacf80de2d810f15852ee5044331c25956f3d2dedee85666a0f27e41c56","target":"graph","created_at":"2026-05-18T02:55:12Z","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":"Let (E,D,P) be a flat vector bundle with a parabolic structure over a punctured Riemann surface, (M,g). We consider a deformation of the harmonic metric equation which we call the Poisson metric equation. This equation arises naturally as the dimension reduction of the Hermitian-Yang-Mills equation for holomorphic vector bundles on K3 surfaces in the large complex structure limit. We define a notion of slope stability, and show that if the flat connection D has regular singularities, and the Riemannian metric g has finite volume then E admits a Poisson metric with asymptotics determined by the","authors_text":"Adam Jacob, Shing-Tung Yau, Tristan C. Collins","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-30T22:32:50Z","title":"Poisson metrics on flat vector bundles over non-compact curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.7825","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":"sha256:79d1b0691150cf159d9da3fd60c0e24327610ecf005dfd1983da285a1144ca53","target":"record","created_at":"2026-05-18T02:55:12Z","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":"988d66b6bcdd83ef573da6b5239e42cca5aa34b598411fa48eca8644e85e00e5","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-03-30T22:32:50Z","title_canon_sha256":"10299b3144af0441cea9b84e6974dbf648784e35a928b9cf10932fb108c54374"},"schema_version":"1.0","source":{"id":"1403.7825","kind":"arxiv","version":1}},"canonical_sha256":"c8b28ac083d0e91799794063ef94b70ff63220612a62e93a955114ac79edafac","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c8b28ac083d0e91799794063ef94b70ff63220612a62e93a955114ac79edafac","first_computed_at":"2026-05-18T02:55:12.315823Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:55:12.315823Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UpBNV4Sf+ijNCsJ/Nn4gmdcAamMx12FeB9rq2beqhdIG1RemupgCmFTArXMwoNoxmwV6tR/VptN2VbSNKnzCCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:55:12.316198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.7825","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:79d1b0691150cf159d9da3fd60c0e24327610ecf005dfd1983da285a1144ca53","sha256:74ec8aacf80de2d810f15852ee5044331c25956f3d2dedee85666a0f27e41c56"],"state_sha256":"8b42e03447ef8d7bef26b17c0567aeda33585bc119964939e6cdfcd7b353b155"}