{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2010:RJ3M6LZSKA7PB5QE4623RFTEBK","short_pith_number":"pith:RJ3M6LZS","schema_version":"1.0","canonical_sha256":"8a76cf2f32503ef0f604e7b5b896640a8d38fc9bbef5b747bed8a149f3b83c92","source":{"kind":"arxiv","id":"1012.4748","version":2},"attestation_state":"computed","paper":{"title":"Prym varieties of spectral covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Pauly, Tam\\'as Hausel","submitted_at":"2010-12-21T17:53:23Z","abstract_excerpt":"Given a possibly reducible and non-reduced spectral cover X over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SL_n-Higgs moduli space up to the degree which is predicted by topological mirror symmetry. In particular this yields a new proof of a result of Harder--Narasimhan, showing that this finite group acts trivially on the cohomology of the twisted SL_n stable bundle moduli spac"},"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":"1012.4748","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2010-12-21T17:53:23Z","cross_cats_sorted":[],"title_canon_sha256":"d38c32e3a6c6da7d366b98da0e2fe2515e96eb01e1ba8e445bbe45b422dae394","abstract_canon_sha256":"699702a12187971ddef9ef0200415dc00b03ca012cbf531f3dd5b4c3a35f2948"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:38:18.326848Z","signature_b64":"T5FRLNsfPulQz1GB7CHa1KWDx8uskVjoKxL5ghXtU97vjqFsGwIbv2b3UEV4IIsxCQmVmt3tDZkzR6srjltSBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8a76cf2f32503ef0f604e7b5b896640a8d38fc9bbef5b747bed8a149f3b83c92","last_reissued_at":"2026-05-18T02:38:18.326307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:38:18.326307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Prym varieties of spectral covers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AG","authors_text":"Christian Pauly, Tam\\'as Hausel","submitted_at":"2010-12-21T17:53:23Z","abstract_excerpt":"Given a possibly reducible and non-reduced spectral cover X over a smooth projective complex curve C we determine the group of connected components of the Prym variety Prym(X/C). As an immediate application we show that the finite group of n-torsion points of the Jacobian of C acts trivially on the cohomology of the twisted SL_n-Higgs moduli space up to the degree which is predicted by topological mirror symmetry. In particular this yields a new proof of a result of Harder--Narasimhan, showing that this finite group acts trivially on the cohomology of the twisted SL_n stable bundle moduli spac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1012.4748","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":"1012.4748","created_at":"2026-05-18T02:38:18.326394+00:00"},{"alias_kind":"arxiv_version","alias_value":"1012.4748v2","created_at":"2026-05-18T02:38:18.326394+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1012.4748","created_at":"2026-05-18T02:38:18.326394+00:00"},{"alias_kind":"pith_short_12","alias_value":"RJ3M6LZSKA7P","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_16","alias_value":"RJ3M6LZSKA7PB5QE","created_at":"2026-05-18T12:26:13.927090+00:00"},{"alias_kind":"pith_short_8","alias_value":"RJ3M6LZS","created_at":"2026-05-18T12:26:13.927090+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/RJ3M6LZSKA7PB5QE4623RFTEBK","json":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK.json","graph_json":"https://pith.science/api/pith-number/RJ3M6LZSKA7PB5QE4623RFTEBK/graph.json","events_json":"https://pith.science/api/pith-number/RJ3M6LZSKA7PB5QE4623RFTEBK/events.json","paper":"https://pith.science/paper/RJ3M6LZS"},"agent_actions":{"view_html":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK","download_json":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK.json","view_paper":"https://pith.science/paper/RJ3M6LZS","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1012.4748&json=true","fetch_graph":"https://pith.science/api/pith-number/RJ3M6LZSKA7PB5QE4623RFTEBK/graph.json","fetch_events":"https://pith.science/api/pith-number/RJ3M6LZSKA7PB5QE4623RFTEBK/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK/action/timestamp_anchor","attest_storage":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK/action/storage_attestation","attest_author":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK/action/author_attestation","sign_citation":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK/action/citation_signature","submit_replication":"https://pith.science/pith/RJ3M6LZSKA7PB5QE4623RFTEBK/action/replication_record"}},"created_at":"2026-05-18T02:38:18.326394+00:00","updated_at":"2026-05-18T02:38:18.326394+00:00"}