{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:NABCVHRVJ4C4JSTWO75PTO6ROP","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":"d11904350833f2ccf3a666376ab77be764db6139a1c23a9f77218c4dd9c48590","cross_cats_sorted":["math.DS","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-10-29T19:36:20Z","title_canon_sha256":"ffa26df0045c5694834b44230f1e054b91fdd64932086310d9e9b2468d249465"},"schema_version":"1.0","source":{"id":"1910.13492","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1910.13492","created_at":"2026-07-05T09:41:24Z"},{"alias_kind":"arxiv_version","alias_value":"1910.13492v3","created_at":"2026-07-05T09:41:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1910.13492","created_at":"2026-07-05T09:41:24Z"},{"alias_kind":"pith_short_12","alias_value":"NABCVHRVJ4C4","created_at":"2026-07-05T09:41:24Z"},{"alias_kind":"pith_short_16","alias_value":"NABCVHRVJ4C4JSTW","created_at":"2026-07-05T09:41:24Z"},{"alias_kind":"pith_short_8","alias_value":"NABCVHRV","created_at":"2026-07-05T09:41:24Z"}],"graph_snapshots":[{"event_id":"sha256:42b576b80dbe4dac03aac28779ca2d68bf4dfc92379457b6f9eb659f43adb8ac","target":"graph","created_at":"2026-07-05T09:41:24Z","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/1910.13492/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a compactification of the moduli spaces of abelian differentials on Riemann surfaces with prescribed zeroes and poles. This compactification, called the moduli space of multi-scale differentials, is a complex orbifold with normal crossing boundary. Locally, our compactification can be described as the normalization of an explicit blowup of the incidence variety compactification, which was defined in [BCGGM18] as the closure of the stratum of abelian differentials in the closure of the Hodge bundle. We also define families of projectivized multi-scale differentials, which gives a p","authors_text":"Dawei Chen, Martin M\\\"oller, Matt Bainbridge, Quentin Gendron, Samuel Grushevsky","cross_cats":["math.DS","math.GT"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-10-29T19:36:20Z","title":"The moduli space of multi-scale differentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1910.13492","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":"sha256:3fc2e0f8ca45417ae99cc5a6fd2429ef7306cccc488f70d57d58ae87c69c4069","target":"record","created_at":"2026-07-05T09:41:24Z","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":"d11904350833f2ccf3a666376ab77be764db6139a1c23a9f77218c4dd9c48590","cross_cats_sorted":["math.DS","math.GT"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AG","submitted_at":"2019-10-29T19:36:20Z","title_canon_sha256":"ffa26df0045c5694834b44230f1e054b91fdd64932086310d9e9b2468d249465"},"schema_version":"1.0","source":{"id":"1910.13492","kind":"arxiv","version":3}},"canonical_sha256":"68022a9e354f05c4ca7677faf9bbd173c61dbcd2c1e41729e5fc2cbc673a35b9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68022a9e354f05c4ca7677faf9bbd173c61dbcd2c1e41729e5fc2cbc673a35b9","first_computed_at":"2026-07-05T09:41:24.966341Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T09:41:24.966341Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mX85Zl4suwPypsivUGsmFkXiltMcp5DdLx/oF/8EqmPtaujtJttkRQvxXjvXVJ5ko9JLUrmhIjliClUkcLD9CQ==","signature_status":"signed_v1","signed_at":"2026-07-05T09:41:24.966769Z","signed_message":"canonical_sha256_bytes"},"source_id":"1910.13492","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3fc2e0f8ca45417ae99cc5a6fd2429ef7306cccc488f70d57d58ae87c69c4069","sha256:42b576b80dbe4dac03aac28779ca2d68bf4dfc92379457b6f9eb659f43adb8ac"],"state_sha256":"6f5ff4c7a1adef25cd7770e0eb34e04a6d87dc2e5dc9cd7b0145f317bbb6a865"}