{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:HYQ6DYGDTG7FYZKFH25BJM2OFU","short_pith_number":"pith:HYQ6DYGD","schema_version":"1.0","canonical_sha256":"3e21e1e0c399be5c65453eba14b34e2d3ddc20d36bec6f7e1a732d5aa9b3d50a","source":{"kind":"arxiv","id":"1701.03293","version":2},"attestation_state":"computed","paper":{"title":"Sectional curvature asymptotics of the Higgs bundle moduli space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Jan Swoboda","submitted_at":"2017-01-12T10:26:49Z","abstract_excerpt":"We determine the asymptotic behavior in the limit of large Higgs fields of the sectional curvatures of the natural $L^2$ hyperk\\\"ahler metric $G_{L^2}$ of the moduli space $\\mathcal M$ of rank-$2$ Higgs bundles on a Riemann surface $\\Sigma$ away from the discriminant locus. It is shown that their leading order part is given by a sum of Dirac type contributions on $\\Sigma$, for which we find explicit expressions."},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1701.03293","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-01-12T10:26:49Z","cross_cats_sorted":["math.AP"],"title_canon_sha256":"519690575281531fb5b92222d140f4735d89d0e8ec5a8b507262b70f8b226fd2","abstract_canon_sha256":"c5107601b8bd8577d93e2736af4f88bc8de28d156b5dfb1f32482f10c5f88424"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:51:57.091676Z","signature_b64":"RopBhwlE0IVZwU4lBgeKytfy5SUuNzCJRIfeRYM0n+wL0sxFI3TQT1VE9h/qn+Le1Or4qW/oRT1a3uw+QKlvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3e21e1e0c399be5c65453eba14b34e2d3ddc20d36bec6f7e1a732d5aa9b3d50a","last_reissued_at":"2026-05-18T00:51:57.091085Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:51:57.091085Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Sectional curvature asymptotics of the Higgs bundle moduli space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Jan Swoboda","submitted_at":"2017-01-12T10:26:49Z","abstract_excerpt":"We determine the asymptotic behavior in the limit of large Higgs fields of the sectional curvatures of the natural $L^2$ hyperk\\\"ahler metric $G_{L^2}$ of the moduli space $\\mathcal M$ of rank-$2$ Higgs bundles on a Riemann surface $\\Sigma$ away from the discriminant locus. It is shown that their leading order part is given by a sum of Dirac type contributions on $\\Sigma$, for which we find explicit expressions."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.03293","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1701.03293","created_at":"2026-05-18T00:51:57.091170+00:00"},{"alias_kind":"arxiv_version","alias_value":"1701.03293v2","created_at":"2026-05-18T00:51:57.091170+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.03293","created_at":"2026-05-18T00:51:57.091170+00:00"},{"alias_kind":"pith_short_12","alias_value":"HYQ6DYGDTG7F","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_16","alias_value":"HYQ6DYGDTG7FYZKF","created_at":"2026-05-18T12:31:21.493067+00:00"},{"alias_kind":"pith_short_8","alias_value":"HYQ6DYGD","created_at":"2026-05-18T12:31:21.493067+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU","json":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU.json","graph_json":"https://pith.science/api/pith-number/HYQ6DYGDTG7FYZKFH25BJM2OFU/graph.json","events_json":"https://pith.science/api/pith-number/HYQ6DYGDTG7FYZKFH25BJM2OFU/events.json","paper":"https://pith.science/paper/HYQ6DYGD"},"agent_actions":{"view_html":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU","download_json":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU.json","view_paper":"https://pith.science/paper/HYQ6DYGD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1701.03293&json=true","fetch_graph":"https://pith.science/api/pith-number/HYQ6DYGDTG7FYZKFH25BJM2OFU/graph.json","fetch_events":"https://pith.science/api/pith-number/HYQ6DYGDTG7FYZKFH25BJM2OFU/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU/action/timestamp_anchor","attest_storage":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU/action/storage_attestation","attest_author":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU/action/author_attestation","sign_citation":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU/action/citation_signature","submit_replication":"https://pith.science/pith/HYQ6DYGDTG7FYZKFH25BJM2OFU/action/replication_record"}},"created_at":"2026-05-18T00:51:57.091170+00:00","updated_at":"2026-05-18T00:51:57.091170+00:00"}