{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:A3P2F47HBRDIFF7UXD77MWHS27","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":"da45696bfd42f24d4769d39083385de04571a6e63720816e774aee86d0d36b9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-13T09:12:01Z","title_canon_sha256":"8c5072826b3ee7aaa001c7c2280f428f01818a18773bfbd4814ab95f304694e5"},"schema_version":"1.0","source":{"id":"1609.03733","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.03733","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"1609.03733v1","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.03733","created_at":"2026-05-18T01:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"A3P2F47HBRDI","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_16","alias_value":"A3P2F47HBRDIFF7U","created_at":"2026-05-18T12:30:04Z"},{"alias_kind":"pith_short_8","alias_value":"A3P2F47H","created_at":"2026-05-18T12:30:04Z"}],"graph_snapshots":[{"event_id":"sha256:2640646b0dbc2dffa3535b29e5c26a70f2d35a1c8721ac6cd66ee0b35d8d11fd","target":"graph","created_at":"2026-05-18T01:04:42Z","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":"In this article we introduce a notion of logarithmic co-Higgs sheaves associated to a simple normal crossing divisor on a projective manifold, and show their existence with nilpotent co-Higgs fields for fixed ranks and second Chern classes. Then we deal with various moduli problems with logarithmic co-Higgs sheaves involved, such as coherent systems and holomorphic triples, specially over algebraic curves of low genus.","authors_text":"Edoardo Ballico, Sukmoon Huh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-13T09:12:01Z","title":"Logarithmic co-Higgs bundles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.03733","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":"sha256:80bc320b21ec7fec9f7c0960a2cc201301e49497018a62452542cd8af8bcab94","target":"record","created_at":"2026-05-18T01:04:42Z","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":"da45696bfd42f24d4769d39083385de04571a6e63720816e774aee86d0d36b9e","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-09-13T09:12:01Z","title_canon_sha256":"8c5072826b3ee7aaa001c7c2280f428f01818a18773bfbd4814ab95f304694e5"},"schema_version":"1.0","source":{"id":"1609.03733","kind":"arxiv","version":1}},"canonical_sha256":"06dfa2f3e70c468297f4b8fff658f2d7d9531e15e4aa9a4a58d6ef8552a56000","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"06dfa2f3e70c468297f4b8fff658f2d7d9531e15e4aa9a4a58d6ef8552a56000","first_computed_at":"2026-05-18T01:04:42.598568Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:42.598568Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rkvyh7VC9Ir2kpqsZmPxZu7mIiFj+M+G09/Bow90jQUTda2mCe6jZQ+wwmDRgAII0EBD5tHuv61zTBkGFzKJDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:42.598996Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.03733","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:80bc320b21ec7fec9f7c0960a2cc201301e49497018a62452542cd8af8bcab94","sha256:2640646b0dbc2dffa3535b29e5c26a70f2d35a1c8721ac6cd66ee0b35d8d11fd"],"state_sha256":"8e451d0c14cfe9310eb0319852a5d4b5f3264189a8d96e3f7ce2efa59dbaf92b"}