{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:7QQSYHMGQCKPR2LKOPJC25FQXL","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":"a880baf6064c9ed6f49a7babe150cdf7fd49cee1f5fcf848cea8487a1b43f17f","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-05T18:42:12Z","title_canon_sha256":"151973761300a00b0ebcca441366ab3c5f5863b53e1463399e130239f4befef5"},"schema_version":"1.0","source":{"id":"1408.1064","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1408.1064","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"arxiv_version","alias_value":"1408.1064v2","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1408.1064","created_at":"2026-05-18T02:39:47Z"},{"alias_kind":"pith_short_12","alias_value":"7QQSYHMGQCKP","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"7QQSYHMGQCKPR2LK","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"7QQSYHMG","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:4a2089650e0901e35933f3381ba759a3e54eb83b4ee8c3bb656f1beb764e190d","target":"graph","created_at":"2026-05-18T02:39:47Z","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":"This paper is devoted to the classification of connected components of Prym eigenform loci in the strata H(2,2)^odd and H(1,1,2) in the Abelian differentials bundle in genus 3. These loci, discovered by McMullen are GL^+(2,R)-invariant submanifolds (of complex dimension 3) that project to the locus of Riemann surfaces whose Jacobian variety has a factor admitting real multiplication by some quadratic order Ord_D.\n  It turns out that these subvarieties can be classified by the discriminant D of the corresponding quadratic orders. However there algebraic varieties are not necessarily irreducible","authors_text":"Duc-Manh Nguyen, Erwan Lanneau","cross_cats":["math.AG","math.DS"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-05T18:42:12Z","title":"Connected components of Prym eigenform loci in genus three"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1408.1064","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":"sha256:4e00720c502d7cf5a5afb989113b48d38c329818f680c779a0ef0136e75f6504","target":"record","created_at":"2026-05-18T02:39:47Z","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":"a880baf6064c9ed6f49a7babe150cdf7fd49cee1f5fcf848cea8487a1b43f17f","cross_cats_sorted":["math.AG","math.DS"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2014-08-05T18:42:12Z","title_canon_sha256":"151973761300a00b0ebcca441366ab3c5f5863b53e1463399e130239f4befef5"},"schema_version":"1.0","source":{"id":"1408.1064","kind":"arxiv","version":2}},"canonical_sha256":"fc212c1d868094f8e96a73d22d74b0bad78b8a5b59150c212113d2f80d187fd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fc212c1d868094f8e96a73d22d74b0bad78b8a5b59150c212113d2f80d187fd0","first_computed_at":"2026-05-18T02:39:47.937953Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:47.937953Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CdPgUsp6vCValUIxbwsLXEXyNdwjxkZXfDMq65C2e39SE+H6v15G2nZOUp9KpvfCsrZgUa+En9KbHE/VbxuLBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:47.938439Z","signed_message":"canonical_sha256_bytes"},"source_id":"1408.1064","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4e00720c502d7cf5a5afb989113b48d38c329818f680c779a0ef0136e75f6504","sha256:4a2089650e0901e35933f3381ba759a3e54eb83b4ee8c3bb656f1beb764e190d"],"state_sha256":"afaed4392449235bb5e08874286f5550204668df03c8a8408fc9a8bc4dad62f6"}