{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:E4F4MYFRJOXO4EDHR76WEG37TC","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":"7456b4724d8a7ad0c9ae8441dc30a797610b5362cdc32c3b186e00aa3399df1e","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-14T02:09:03Z","title_canon_sha256":"d4b6d612b128aec7a86af2f093bb67b27f65eecc1868080fedf53a121ac357c9"},"schema_version":"1.0","source":{"id":"1110.3110","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1110.3110","created_at":"2026-05-18T03:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"1110.3110v3","created_at":"2026-05-18T03:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1110.3110","created_at":"2026-05-18T03:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"E4F4MYFRJOXO","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"E4F4MYFRJOXO4EDH","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"E4F4MYFR","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:40f830ee5cef5ae1ab0ec4444dbda64ff65e0cd670bd3000823f16758cb579ea","target":"graph","created_at":"2026-05-18T03:16:19Z","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 provide an effective ramification theorem for the ratio of canonical forms of a weakly complete flat front in the hyperbolic three-space. Moreover we give the two applications of this theorem, the first one is to show an analogue of the Ahlfors islands theorem for it and the second one is to give a simple proof of the classification of complete nonsingular flat surfaces in the hyperbolic three-space.","authors_text":"Yu Kawakami","cross_cats":["math.CV"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-14T02:09:03Z","title":"A ramification theorem for the ratio of canonical forms of flat surfaces in hyperbolic three-space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1110.3110","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":"sha256:373e8079c4c25af1ffc6ff639ffe2f337b708f5e72cd562b1f2e6fc413a72a83","target":"record","created_at":"2026-05-18T03:16:19Z","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":"7456b4724d8a7ad0c9ae8441dc30a797610b5362cdc32c3b186e00aa3399df1e","cross_cats_sorted":["math.CV"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-10-14T02:09:03Z","title_canon_sha256":"d4b6d612b128aec7a86af2f093bb67b27f65eecc1868080fedf53a121ac357c9"},"schema_version":"1.0","source":{"id":"1110.3110","kind":"arxiv","version":3}},"canonical_sha256":"270bc660b14baeee10678ffd621b7f9897b664b9a9da6517105b01d4194e6cad","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"270bc660b14baeee10678ffd621b7f9897b664b9a9da6517105b01d4194e6cad","first_computed_at":"2026-05-18T03:16:19.262155Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:16:19.262155Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3TxXCPjY+n0tyKzixrv01/pxIqQc1RNVX6wMmV/LeMgURU+kVqvJeGK+tzpvB05Fxr/eszMysKp482cF/hYBAg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:16:19.262729Z","signed_message":"canonical_sha256_bytes"},"source_id":"1110.3110","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:373e8079c4c25af1ffc6ff639ffe2f337b708f5e72cd562b1f2e6fc413a72a83","sha256:40f830ee5cef5ae1ab0ec4444dbda64ff65e0cd670bd3000823f16758cb579ea"],"state_sha256":"415cac01e8764c3ae0c39f4d5072b383820e8c69682377b0be821e83d2498ba1"}