{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:JGDRYUSJU4OG5EDAFUGYOF4ZWQ","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":"67efa5575a1cfb02e568eae785ef684af5b74c7848eee40e09e2ca1f06a26ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-07T14:39:20Z","title_canon_sha256":"c06e04771fee4f361a685ba09b92700789d4f08128a627fd732a645e43840e9c"},"schema_version":"1.0","source":{"id":"1402.1653","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1402.1653","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"arxiv_version","alias_value":"1402.1653v2","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1402.1653","created_at":"2026-05-18T01:32:08Z"},{"alias_kind":"pith_short_12","alias_value":"JGDRYUSJU4OG","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_16","alias_value":"JGDRYUSJU4OG5EDA","created_at":"2026-05-18T12:28:33Z"},{"alias_kind":"pith_short_8","alias_value":"JGDRYUSJ","created_at":"2026-05-18T12:28:33Z"}],"graph_snapshots":[{"event_id":"sha256:86f642109453344e5e7c6a64020566ad0e487fd9e5f6f98a7567a330f56bc885","target":"graph","created_at":"2026-05-18T01:32:08Z","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":"A point $p$ on a smooth complex projective curve $C$ of genus $g>3$ is subcanonical if the divisor $(2g-2)p$ is canonical. In the moduli space of pointed curves, the subcanonical locus is described by pairs $(C,p)$ as above, and it consists of three irreducible components of dimension $2g-1$. Apart from the hyperelliptic component $\\mathcal{G}_g^{hyp}$, the other components $\\mathcal{G}_g^{odd}$ and $\\mathcal{G}_g^{even}$ depend on the parity of $h^0(C,(g-1)p)$, and their general points satisfy $h^0(C,(g-1)p)=1$ and $2$, respectively. In this paper, we study the subloci of pairs $(C,p)$ such t","authors_text":"Francesco Bastianelli, Gian Pietro Pirola","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-07T14:39:20Z","title":"Subcanonical points on projective curves and triply periodic minimal surfaces in the Euclidean space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1402.1653","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":"sha256:67ce40efd4640d4a53d724e580fcadd220c3fd55402b39a0f9d474fd3a5cd704","target":"record","created_at":"2026-05-18T01:32:08Z","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":"67efa5575a1cfb02e568eae785ef684af5b74c7848eee40e09e2ca1f06a26ead","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-02-07T14:39:20Z","title_canon_sha256":"c06e04771fee4f361a685ba09b92700789d4f08128a627fd732a645e43840e9c"},"schema_version":"1.0","source":{"id":"1402.1653","kind":"arxiv","version":2}},"canonical_sha256":"49871c5249a71c6e90602d0d871799b40f32a559156836b4983f4942b0485646","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"49871c5249a71c6e90602d0d871799b40f32a559156836b4983f4942b0485646","first_computed_at":"2026-05-18T01:32:08.532308Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:32:08.532308Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OCZVwwtoJT6Hvymn3+1/7gpaUy9SMlC7F1GKdAK8Nd9laKcjUR+4yNEy7H5Yt1Jq/YnLedysvoTupEfU+pxHCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:32:08.533021Z","signed_message":"canonical_sha256_bytes"},"source_id":"1402.1653","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:67ce40efd4640d4a53d724e580fcadd220c3fd55402b39a0f9d474fd3a5cd704","sha256:86f642109453344e5e7c6a64020566ad0e487fd9e5f6f98a7567a330f56bc885"],"state_sha256":"1084003ff9144be2ace3e059953678ae06cd6121fcc4fb4e18699d0d82fe77bd"}