{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:WYVKQXCRSD6AWMEIJBRYMLBVIB","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":"cb1a52af72fa100e42a8b6adb2243787284a58c143111b81f4a723850a98c500","cross_cats_sorted":["math-ph","math.DG","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-06T02:39:44Z","title_canon_sha256":"40496f23d35a5ae311041258cd20e47ace7173fd0b6f0780024f587ba157dffb"},"schema_version":"1.0","source":{"id":"2005.02564","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.02564","created_at":"2026-07-05T04:01:29Z"},{"alias_kind":"arxiv_version","alias_value":"2005.02564v2","created_at":"2026-07-05T04:01:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.02564","created_at":"2026-07-05T04:01:29Z"},{"alias_kind":"pith_short_12","alias_value":"WYVKQXCRSD6A","created_at":"2026-07-05T04:01:29Z"},{"alias_kind":"pith_short_16","alias_value":"WYVKQXCRSD6AWMEI","created_at":"2026-07-05T04:01:29Z"},{"alias_kind":"pith_short_8","alias_value":"WYVKQXCR","created_at":"2026-07-05T04:01:29Z"}],"graph_snapshots":[{"event_id":"sha256:4ec221be2170bd29d7fc1a45ca2f87e1afeeb0a2f9c7cf494df77f2beb590552","target":"graph","created_at":"2026-07-05T04:01:29Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2005.02564/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Given a smooth complex projective variety $M$ and a smooth closed curve $X \\subset M$ such that the homomorphism of fundamental groups $\\pi_1(X) \\rightarrow \\pi_1(M)$ is surjective, we study the restriction map of Higgs bundles, namely from Higgs bundles on $M$ to those on $X$. In particular, we investigate the interplay between this restriction map and various types of branes contained in the moduli spaces of Higgs bundles on $M$ and $X$. We also consider the set-up where a finite group is acting on $M$ via holomorphic automorphisms or anti-holomorphic involutions, and the curve $X$ is preser","authors_text":"Indranil Biswas, Laura P. Schaposnik, Sebastian Heller","cross_cats":["math-ph","math.DG","math.MP","math.SG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-06T02:39:44Z","title":"Branes and moduli spaces of Higgs bundles on smooth projective varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.02564","kind":"arxiv","version":2},"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":"sha256:65d5136e9736af2eeda110a4b73ceb4f6748576f4d2e1c5207568f0d636318fc","target":"record","created_at":"2026-07-05T04:01:29Z","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":"cb1a52af72fa100e42a8b6adb2243787284a58c143111b81f4a723850a98c500","cross_cats_sorted":["math-ph","math.DG","math.MP","math.SG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2020-05-06T02:39:44Z","title_canon_sha256":"40496f23d35a5ae311041258cd20e47ace7173fd0b6f0780024f587ba157dffb"},"schema_version":"1.0","source":{"id":"2005.02564","kind":"arxiv","version":2}},"canonical_sha256":"b62aa85c5190fc0b30884863862c35404992ad7df703ba6b81e4a88995f02a2f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b62aa85c5190fc0b30884863862c35404992ad7df703ba6b81e4a88995f02a2f","first_computed_at":"2026-07-05T04:01:29.422820Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:01:29.422820Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bda/6b9LCjGT+vRXWZz6eVqjh0fAA/wX21/LHGvtq7+hj6/Xj/c42F0o5kFpOcKTvDtqtXhyFIIKCE+8z+AwAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T04:01:29.423170Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.02564","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65d5136e9736af2eeda110a4b73ceb4f6748576f4d2e1c5207568f0d636318fc","sha256:4ec221be2170bd29d7fc1a45ca2f87e1afeeb0a2f9c7cf494df77f2beb590552"],"state_sha256":"f5fabfd820a6225e36aace11ae1e705bdbe8abd690196108036f45c76e965941"}