{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:PSBTXQRHCOCWZ5VKAAY2YJV3OI","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":"e7c6b5ee9c2f38936dda6fa7c086292035540b43def473c76bf44a7f92d27b91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-08T02:49:54Z","title_canon_sha256":"120f497b3fb20487459665341961e6db3c6fa7ef9217b4d450744c1ad0b83392"},"schema_version":"1.0","source":{"id":"1708.02359","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.02359","created_at":"2026-07-05T00:50:59Z"},{"alias_kind":"arxiv_version","alias_value":"1708.02359v3","created_at":"2026-07-05T00:50:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.02359","created_at":"2026-07-05T00:50:59Z"},{"alias_kind":"pith_short_12","alias_value":"PSBTXQRHCOCW","created_at":"2026-07-05T00:50:59Z"},{"alias_kind":"pith_short_16","alias_value":"PSBTXQRHCOCWZ5VK","created_at":"2026-07-05T00:50:59Z"},{"alias_kind":"pith_short_8","alias_value":"PSBTXQRH","created_at":"2026-07-05T00:50:59Z"}],"graph_snapshots":[{"event_id":"sha256:dd89f9a5999a4d842c3b4061ae7884781971ec3722669c61b8c4234ba8b25217","target":"graph","created_at":"2026-07-05T00:50:59Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1708.02359/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This is the first in a pair of papers developing a framework for the application of logarithmic structures in the study of singular curves of genus $1$. We construct a smooth and proper moduli space dominating the main component of Kontsevich's space of stable genus $1$ maps to projective space. A variation on this theme furnishes a modular interpretation for Vakil and Zinger's famous desingularization of the Kontsevich space of maps in genus $1$. Our methods also lead to smooth and proper moduli spaces of pointed genus $1$ quasimaps to projective space. Finally, we present an application to t","authors_text":"Dhruv Ranganathan, Jonathan Wise, Keli Santos-Parker","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-08T02:49:54Z","title":"Moduli of stable maps in genus one and logarithmic geometry I"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.02359","kind":"arxiv","version":3},"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:feec6037de5c8853065a41853b340c994b57e4a3ae03eaf40fa2169389b2d0e0","target":"record","created_at":"2026-07-05T00:50:59Z","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":"e7c6b5ee9c2f38936dda6fa7c086292035540b43def473c76bf44a7f92d27b91","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2017-08-08T02:49:54Z","title_canon_sha256":"120f497b3fb20487459665341961e6db3c6fa7ef9217b4d450744c1ad0b83392"},"schema_version":"1.0","source":{"id":"1708.02359","kind":"arxiv","version":3}},"canonical_sha256":"7c833bc22713856cf6aa0031ac26bb721fe4462d5858933802bf4abe6f40294b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c833bc22713856cf6aa0031ac26bb721fe4462d5858933802bf4abe6f40294b","first_computed_at":"2026-07-05T00:50:59.806260Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T00:50:59.806260Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"8CdHJVq3nRGuXChnrqYGZK/rSQBjCAJdSicG2rp4nneMta4SE6/tIFQQUkDd5oCAufzPGhcw0fTny7GvF03bDw==","signature_status":"signed_v1","signed_at":"2026-07-05T00:50:59.806685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.02359","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:feec6037de5c8853065a41853b340c994b57e4a3ae03eaf40fa2169389b2d0e0","sha256:dd89f9a5999a4d842c3b4061ae7884781971ec3722669c61b8c4234ba8b25217"],"state_sha256":"0b66d9a5e0f63b5f5ce2a5bc2fa59779004374b52ab1a571aa404ff895c8a9f4"}