{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2014:KOWDPNG7ST4KSWIXORT22YPTCO","short_pith_number":"pith:KOWDPNG7","schema_version":"1.0","canonical_sha256":"53ac37b4df94f8a959177467ad61f31384acfcdc84b36a094c74ac6213b14fb0","source":{"kind":"arxiv","id":"1411.2882","version":1},"attestation_state":"computed","paper":{"title":"Yang-Mills connections on compact complex tori","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Indranil Biswas","submitted_at":"2014-11-11T16:39:05Z","abstract_excerpt":"Let $G$ be a connected reductive complex affine algebraic group and $K\\subset G$ a maximal compact subgroup. Let $M$ be a compact complex torus equipped with a flat K\\\"ahler structure and $(E_G ,\\theta)$ a polystable Higgs $G$-bundle on $M$. Take any $C^\\infty$ reduction of structure group $E_K \\subset E_G$ to the subgroup $K$ that solves the Yang--Mills equation for $(E_G ,\\theta)$. We prove that the principal $G$-bundle $E_G$ is polystable and the above reduction $E_K$ solves the Einstein--Hermitian equation for $E_G$. We also prove that for a semistable (respectively, polystable) Higgs $G$-"},"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":"1411.2882","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2014-11-11T16:39:05Z","cross_cats_sorted":[],"title_canon_sha256":"44122ace84ef1ea178a8d06c124a73cc2d118ace79cc482aa30f6c6389c4f94b","abstract_canon_sha256":"34bd6706078a7541e44d05e440c5c52a9be9e7780fd2315d4866d96a18b6630a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:37:52.809656Z","signature_b64":"JDdp8sdU0JnzhySXNapgsj4ETVfJsHn7EwQuN2lxjH8th4s1TalECkKDFvyugi5OjlRhhWe0ukhs/nO8dRGjAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"53ac37b4df94f8a959177467ad61f31384acfcdc84b36a094c74ac6213b14fb0","last_reissued_at":"2026-05-18T02:37:52.809161Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:37:52.809161Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Yang-Mills connections on compact complex tori","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Indranil Biswas","submitted_at":"2014-11-11T16:39:05Z","abstract_excerpt":"Let $G$ be a connected reductive complex affine algebraic group and $K\\subset G$ a maximal compact subgroup. Let $M$ be a compact complex torus equipped with a flat K\\\"ahler structure and $(E_G ,\\theta)$ a polystable Higgs $G$-bundle on $M$. Take any $C^\\infty$ reduction of structure group $E_K \\subset E_G$ to the subgroup $K$ that solves the Yang--Mills equation for $(E_G ,\\theta)$. We prove that the principal $G$-bundle $E_G$ is polystable and the above reduction $E_K$ solves the Einstein--Hermitian equation for $E_G$. We also prove that for a semistable (respectively, polystable) Higgs $G$-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.2882","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1411.2882","created_at":"2026-05-18T02:37:52.809245+00:00"},{"alias_kind":"arxiv_version","alias_value":"1411.2882v1","created_at":"2026-05-18T02:37:52.809245+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.2882","created_at":"2026-05-18T02:37:52.809245+00:00"},{"alias_kind":"pith_short_12","alias_value":"KOWDPNG7ST4K","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_16","alias_value":"KOWDPNG7ST4KSWIX","created_at":"2026-05-18T12:28:35.611951+00:00"},{"alias_kind":"pith_short_8","alias_value":"KOWDPNG7","created_at":"2026-05-18T12:28:35.611951+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/KOWDPNG7ST4KSWIXORT22YPTCO","json":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO.json","graph_json":"https://pith.science/api/pith-number/KOWDPNG7ST4KSWIXORT22YPTCO/graph.json","events_json":"https://pith.science/api/pith-number/KOWDPNG7ST4KSWIXORT22YPTCO/events.json","paper":"https://pith.science/paper/KOWDPNG7"},"agent_actions":{"view_html":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO","download_json":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO.json","view_paper":"https://pith.science/paper/KOWDPNG7","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1411.2882&json=true","fetch_graph":"https://pith.science/api/pith-number/KOWDPNG7ST4KSWIXORT22YPTCO/graph.json","fetch_events":"https://pith.science/api/pith-number/KOWDPNG7ST4KSWIXORT22YPTCO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO/action/storage_attestation","attest_author":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO/action/author_attestation","sign_citation":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO/action/citation_signature","submit_replication":"https://pith.science/pith/KOWDPNG7ST4KSWIXORT22YPTCO/action/replication_record"}},"created_at":"2026-05-18T02:37:52.809245+00:00","updated_at":"2026-05-18T02:37:52.809245+00:00"}