{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:SDDVOZBHBRHNRAOSZMZ7HK6SOC","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":"ae65c9215a6d7606fc2f35770cbe1d56f47d4af71e2d806a72e6f02acadd63e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-01T14:30:58Z","title_canon_sha256":"1c9b2ebe7105d0cac453baf9e0a6079b7e02cec1e5df08619787f327eeeb2179"},"schema_version":"1.0","source":{"id":"1611.00245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.00245","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"arxiv_version","alias_value":"1611.00245v1","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.00245","created_at":"2026-05-18T00:56:19Z"},{"alias_kind":"pith_short_12","alias_value":"SDDVOZBHBRHN","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_16","alias_value":"SDDVOZBHBRHNRAOS","created_at":"2026-05-18T12:30:44Z"},{"alias_kind":"pith_short_8","alias_value":"SDDVOZBH","created_at":"2026-05-18T12:30:44Z"}],"graph_snapshots":[{"event_id":"sha256:e3aa11cb7e1d11bfa68ea2c0e4931f309e8a58ddff345da9facc8c2965ee3b03","target":"graph","created_at":"2026-05-18T00:56:19Z","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":"We further analyze the moduli space of stable curves with level structure provided by Chiodo and Farkas in \\cite{AA}. Their result builds upon Harris and Mumford analysis of the locus of singularities of the moduli space of curves and shows in particular that for levels 2, 3, 4, and 6 the locus of noncanonical singularities is completely analogous to the locus described by Harris and Mumford, it has codimension 2 and arises from the involution of elliptic tails carrying a trivial level structure. For the remaining levels (5, 7, and beyond), the picture also involves components of higher codime","authors_text":"Sepideh Tashvighi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-01T14:30:58Z","title":"Low Codimension Strata of the Singular Locus of Moduli of Level Curves"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.00245","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":"sha256:7da4eeb870d51d45ba71037635e3ec552c607a3fb509297b135883796c4b39fc","target":"record","created_at":"2026-05-18T00:56:19Z","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":"ae65c9215a6d7606fc2f35770cbe1d56f47d4af71e2d806a72e6f02acadd63e2","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2016-11-01T14:30:58Z","title_canon_sha256":"1c9b2ebe7105d0cac453baf9e0a6079b7e02cec1e5df08619787f327eeeb2179"},"schema_version":"1.0","source":{"id":"1611.00245","kind":"arxiv","version":1}},"canonical_sha256":"90c75764270c4ed881d2cb33f3abd270b7f5c6720c61394d154f6c7edf9445dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90c75764270c4ed881d2cb33f3abd270b7f5c6720c61394d154f6c7edf9445dd","first_computed_at":"2026-05-18T00:56:19.065800Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:56:19.065800Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zqdCWi34RgG6wMFuHxB6klvYxQOCJsMLQVebykJmRfD+FOkOBAE+HhfOz9fHX/JkBWwJ/dYGgoH5R0SAYnReDw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:56:19.066401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.00245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7da4eeb870d51d45ba71037635e3ec552c607a3fb509297b135883796c4b39fc","sha256:e3aa11cb7e1d11bfa68ea2c0e4931f309e8a58ddff345da9facc8c2965ee3b03"],"state_sha256":"c3a567efd0668fba28a6b6f1d166a108556ed9c7b7ab53b1126b053f5e2db4a5"}