{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:RAI5GN2IBNLNK5OFXSZBMB7GBJ","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":"9df3d332306a64e9f6225bcf5e10974c9a615b5126c7fe519561e18eff1dc3c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-12T01:05:12Z","title_canon_sha256":"ef0be9382649b40d2949f212166a57bb86a6fc5a5be4448232214446b1e834eb"},"schema_version":"1.0","source":{"id":"1405.2608","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1405.2608","created_at":"2026-05-18T00:32:45Z"},{"alias_kind":"arxiv_version","alias_value":"1405.2608v2","created_at":"2026-05-18T00:32:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1405.2608","created_at":"2026-05-18T00:32:45Z"},{"alias_kind":"pith_short_12","alias_value":"RAI5GN2IBNLN","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_16","alias_value":"RAI5GN2IBNLNK5OF","created_at":"2026-05-18T12:28:46Z"},{"alias_kind":"pith_short_8","alias_value":"RAI5GN2I","created_at":"2026-05-18T12:28:46Z"}],"graph_snapshots":[{"event_id":"sha256:eb5a904a15b0d5a19a155efc54969345ef04ccd20790bd1372145a02267acc9b","target":"graph","created_at":"2026-05-18T00:32:45Z","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":"The moduli space of Riemann surfaces of genus $g\\geq 2$ is (up to a finite \\'etale cover) a complex manifold and so it makes sense to speak of its Dolbeault cohomological dimension. The conjecturally optimal bound is $g-2$. This expectation is verified in low genus and supported by Harer's computation of its de Rham cohomological dimension and by vanishing results in the tautological intersection ring.\n  In this paper we prove that such dimension is at most $2g-2$. We also prove an analogous bound for the moduli space of Riemann surfaces with marked points. The key step is to show that the Dol","authors_text":"Gabriele Mondello","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-12T01:05:12Z","title":"On the cohomological dimension of the moduli space of Riemann surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1405.2608","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:b1080d9ee2e8b80f0f5b9511bbc03c64eaf30c82af18db89a6bfc2989f6f8d89","target":"record","created_at":"2026-05-18T00:32:45Z","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":"9df3d332306a64e9f6225bcf5e10974c9a615b5126c7fe519561e18eff1dc3c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-05-12T01:05:12Z","title_canon_sha256":"ef0be9382649b40d2949f212166a57bb86a6fc5a5be4448232214446b1e834eb"},"schema_version":"1.0","source":{"id":"1405.2608","kind":"arxiv","version":2}},"canonical_sha256":"8811d337480b56d575c5bcb21607e60a79caf1e86b0313d64ac061e7b5645734","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8811d337480b56d575c5bcb21607e60a79caf1e86b0313d64ac061e7b5645734","first_computed_at":"2026-05-18T00:32:45.317360Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:45.317360Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uwpB7nA5QrPy6Tau1xxXYlIhnbC5Oz0PZr7bxgB+NAI1P5Ngr1gtwgsoP2H+cf2B2QLuFbzbtSx5a5EiQeOhBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:45.318000Z","signed_message":"canonical_sha256_bytes"},"source_id":"1405.2608","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b1080d9ee2e8b80f0f5b9511bbc03c64eaf30c82af18db89a6bfc2989f6f8d89","sha256:eb5a904a15b0d5a19a155efc54969345ef04ccd20790bd1372145a02267acc9b"],"state_sha256":"d6a485dad2b1b32c8d6c482b7ac86101e500a60437d416598e9efe2a4f8ff9e1"}