{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:7NWUMNCRHLBJYPOK4BYCFTFPT2","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":"bc91f931cb387552609b74acdf541f70d68ae9c9beb586237e265b535b4df507","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-30T22:13:35Z","title_canon_sha256":"34f740891904fb3b05652dba63e13e20ad014bea23a5fe3613512abb57d098d4"},"schema_version":"1.0","source":{"id":"0901.0021","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0901.0021","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"arxiv_version","alias_value":"0901.0021v1","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0901.0021","created_at":"2026-05-18T02:15:03Z"},{"alias_kind":"pith_short_12","alias_value":"7NWUMNCRHLBJ","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_16","alias_value":"7NWUMNCRHLBJYPOK","created_at":"2026-05-18T12:25:56Z"},{"alias_kind":"pith_short_8","alias_value":"7NWUMNCR","created_at":"2026-05-18T12:25:56Z"}],"graph_snapshots":[{"event_id":"sha256:12de5eab76e6ab49d2d71f3d4d4d6dd4da1cac024fd422d6b8511b340306c3c3","target":"graph","created_at":"2026-05-18T02:15:03Z","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":"Fix integers $g\\geq 3$ and $r\\geq 2$, with $r\\geq 3$ if $g=3$. Given a compact connected Riemann surface $X$ of genus $g$, let $\\MDH(X)$ denote the corresponding $\\text{SL}(r, {\\mathbb C})$ Deligne--Hitchin moduli space. We prove that the complex analytic space $\\MDH(X)$ determines (up to an isomorphism) the unordered pair $\\{X, \\overline{X}\\}$, where $\\overline{X}$ is the Riemann surface defined by the opposite almost complex structure on $X$.","authors_text":"Indranil Biswas, Marina Logares, Norbert Hoffmann, Tomas L. Gomez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-30T22:13:35Z","title":"Torelli theorem for the Deligne--Hitchin moduli space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0901.0021","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:ac3b3a1b0ff2114f0375002f986e2189a7f147881c593fe65ecac6a153cb39c9","target":"record","created_at":"2026-05-18T02:15:03Z","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":"bc91f931cb387552609b74acdf541f70d68ae9c9beb586237e265b535b4df507","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2008-12-30T22:13:35Z","title_canon_sha256":"34f740891904fb3b05652dba63e13e20ad014bea23a5fe3613512abb57d098d4"},"schema_version":"1.0","source":{"id":"0901.0021","kind":"arxiv","version":1}},"canonical_sha256":"fb6d4634513ac29c3dcae07022ccaf9ea45af7e06600e63d09fc67a48fd23c94","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fb6d4634513ac29c3dcae07022ccaf9ea45af7e06600e63d09fc67a48fd23c94","first_computed_at":"2026-05-18T02:15:03.573431Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:15:03.573431Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iKrOdPmsJtb2WLSGlhczWeM5hMY2VBk9ttr/Ro3AsrFQgub/MRAZ8zk2WMr4EmBSm94RxYmU8Xoan4DeIV2lBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:15:03.573841Z","signed_message":"canonical_sha256_bytes"},"source_id":"0901.0021","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ac3b3a1b0ff2114f0375002f986e2189a7f147881c593fe65ecac6a153cb39c9","sha256:12de5eab76e6ab49d2d71f3d4d4d6dd4da1cac024fd422d6b8511b340306c3c3"],"state_sha256":"438d2042816a297019ddf47e21def71358ccaaf759c27f390c6d7b53492725b5"}