{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:ZSD634MGSG72BMFYWYWWPFHEUQ","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":"93ef923ef12e74b3ffe9b95d78d9d479d74ce377295361fa9f6559c64a7a9e51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-01T16:02:32Z","title_canon_sha256":"95076b3fb1dedd770f169493ca70a178caa371981dd90461e4cf89647ecf541d"},"schema_version":"1.0","source":{"id":"1406.0174","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0174","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0174v1","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0174","created_at":"2026-05-18T02:50:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZSD634MGSG72","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_16","alias_value":"ZSD634MGSG72BMFY","created_at":"2026-05-18T12:28:59Z"},{"alias_kind":"pith_short_8","alias_value":"ZSD634MG","created_at":"2026-05-18T12:28:59Z"}],"graph_snapshots":[{"event_id":"sha256:de929666fd3f015d936876cb7db430f9387d4cc32cec1784d8f0a915ab01f374","target":"graph","created_at":"2026-05-18T02:50:41Z","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 $\\cM_g$ of nonsingular projective curves of genus $g$ is compactified into the moduli $\\bcM_g$ of Deligne-Mumford stable curves of genus $g$. We compactify in a similar way the moduli space of abelian varieties by adding some mildly degenerating limits of abelian varieties. A typical case is the moduli space of Hesse cubics. Any Hesse cubic is GIT-stable in the sense that its $\\SL(3)$-orbit is closed in the semistable locus, and conversely any GIT-stable planar cubic is one of Hesse cubics. Similarly in arbitrary dimension, the moduli space of abelian varieties is compactified","authors_text":"Iku Nakamura","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-01T16:02:32Z","title":"Compactification by GIT-stability of the moduli space of abelian varieties"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0174","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":"sha256:3c0aedde1cce067164f12ef9c573afe1ce2fa748d64aab23b9cea393252a3838","target":"record","created_at":"2026-05-18T02:50:41Z","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":"93ef923ef12e74b3ffe9b95d78d9d479d74ce377295361fa9f6559c64a7a9e51","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2014-06-01T16:02:32Z","title_canon_sha256":"95076b3fb1dedd770f169493ca70a178caa371981dd90461e4cf89647ecf541d"},"schema_version":"1.0","source":{"id":"1406.0174","kind":"arxiv","version":1}},"canonical_sha256":"cc87edf18691bfa0b0b8b62d6794e4a40f2c1bd8e2b1a99851c333c76f3bf907","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cc87edf18691bfa0b0b8b62d6794e4a40f2c1bd8e2b1a99851c333c76f3bf907","first_computed_at":"2026-05-18T02:50:41.579659Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:50:41.579659Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jYUck71n1DnamAyDcky6MkO5A8PYbEl9dhRtybn3xsYYacekxyJW/wmK4dn0JUX4+rAPg8mRR6Bj+Cw1xTX1Dg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:50:41.580198Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0174","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3c0aedde1cce067164f12ef9c573afe1ce2fa748d64aab23b9cea393252a3838","sha256:de929666fd3f015d936876cb7db430f9387d4cc32cec1784d8f0a915ab01f374"],"state_sha256":"9c4b524a8678ed4a412d113f9e9e0a4c617f01eca631f51f81537de1f2504d76"}