{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:ND7ZPSWZHTEJ3I57HS2LZXC5KV","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":"ff37714db28b761ed02fdaca46fee403aaeb01dbd14b209483a30916ca18be97","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.GT","submitted_at":"2004-02-12T12:15:08Z","title_canon_sha256":"5fef923bbcee2cef04b518092116bc24daf0a063abb3428c1f34b755cfd67263"},"schema_version":"1.0","source":{"id":"math/0402197","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"math/0402197","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"arxiv_version","alias_value":"math/0402197v2","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.math/0402197","created_at":"2026-05-18T02:54:47Z"},{"alias_kind":"pith_short_12","alias_value":"ND7ZPSWZHTEJ","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"ND7ZPSWZHTEJ3I57","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"ND7ZPSWZ","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:8fec37ebb9293065e0cf756b6762ab701811625c15a1731c6f5b6a0595cfc21c","target":"graph","created_at":"2026-05-18T02:54:47Z","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 describe typical degenerations of quadratic differentials thus describing ``generic cusps'' of the moduli space of meromorphic quadratic differentials with at most simple poles. The part of the boundary of the moduli space which does not arise from ``generic'' degenerations is often negligible in problems involving information on compactification of the moduli space.\n  However, even for a typical degeneration one may have several short loops on the Riemann surface which shrink simultaneously. We explain this phenomenon, describe all rigid configurations of short loops, present a detailed de","authors_text":"Anton Zorich, Howard Masur","cross_cats":["math.AG"],"headline":"","license":"","primary_cat":"math.GT","submitted_at":"2004-02-12T12:15:08Z","title":"Multiple Saddle Connections on Flat Surfaces and Principal Boundary of the Moduli Spaces of Quadratic Differentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0402197","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":"sha256:499d01fb575793193779e800aaa4bb9a97042fcfe0e364e891bd820aa095dcd5","target":"record","created_at":"2026-05-18T02:54:47Z","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":"ff37714db28b761ed02fdaca46fee403aaeb01dbd14b209483a30916ca18be97","cross_cats_sorted":["math.AG"],"license":"","primary_cat":"math.GT","submitted_at":"2004-02-12T12:15:08Z","title_canon_sha256":"5fef923bbcee2cef04b518092116bc24daf0a063abb3428c1f34b755cfd67263"},"schema_version":"1.0","source":{"id":"math/0402197","kind":"arxiv","version":2}},"canonical_sha256":"68ff97cad93cc89da3bf3cb4bcdc5d555502f69452ac7061f0eef9c9d402d84f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68ff97cad93cc89da3bf3cb4bcdc5d555502f69452ac7061f0eef9c9d402d84f","first_computed_at":"2026-05-18T02:54:47.682934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:54:47.682934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"azeRSVmPQ26KLt2JkIsE2yRddaZkXV14eOAd0wY0wBuQzRflO2AwjBt++be5PNlH2lk+ebFZt6weYH3jhisWCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:54:47.683394Z","signed_message":"canonical_sha256_bytes"},"source_id":"math/0402197","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:499d01fb575793193779e800aaa4bb9a97042fcfe0e364e891bd820aa095dcd5","sha256:8fec37ebb9293065e0cf756b6762ab701811625c15a1731c6f5b6a0595cfc21c"],"state_sha256":"e472dd6fe3aaf1202dff0fdbd6b593d30c264b184552e4fbf86e88b14ce5a63c"}