{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:76ZRXRGZWHR4LBNIMUOM4FM5JX","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":"2f7a63705425b40fd92c746a7b2fe674000bed6d6dfdb65fe157df66cfb60d3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T17:00:42Z","title_canon_sha256":"92c65aee818b307c37eddd7e1b770222a765bdadba88782de5c1ab4d61b3a6eb"},"schema_version":"1.0","source":{"id":"1510.07549","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1510.07549","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"arxiv_version","alias_value":"1510.07549v2","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1510.07549","created_at":"2026-05-18T01:16:02Z"},{"alias_kind":"pith_short_12","alias_value":"76ZRXRGZWHR4","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_16","alias_value":"76ZRXRGZWHR4LBNI","created_at":"2026-05-18T12:29:07Z"},{"alias_kind":"pith_short_8","alias_value":"76ZRXRGZ","created_at":"2026-05-18T12:29:07Z"}],"graph_snapshots":[{"event_id":"sha256:b57c94b32c3c4c4e31f8fac23139d4cd171bc869211465b3c7681cc9a11d7f9e","target":"graph","created_at":"2026-05-18T01:16:02Z","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":"In this paper we prove some general results on constant mean curvature lamination limits of certain sequences of compact surfaces $M_n$ embedded in $\\mathbb R^3$ with constant mean curvature $H_n$ and fixed finite genus, when the boundaries of these surfaces tend to infinity. Two of these theorems generalize to the non-zero constant mean curvature case, similar structure theorems by Colding and Minicozzi in~[6,8] for limits of sequences of minimal surfaces of fixed finite genus.","authors_text":"Giuseppe Tinaglia, William H. Meeks III","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T17:00:42Z","title":"Limit lamination theorems for H-surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.07549","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":"sha256:684435d8234a4b97446f043baabb326a66ecf84ce6b29782fc51be3967dc9599","target":"record","created_at":"2026-05-18T01:16:02Z","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":"2f7a63705425b40fd92c746a7b2fe674000bed6d6dfdb65fe157df66cfb60d3c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-10-26T17:00:42Z","title_canon_sha256":"92c65aee818b307c37eddd7e1b770222a765bdadba88782de5c1ab4d61b3a6eb"},"schema_version":"1.0","source":{"id":"1510.07549","kind":"arxiv","version":2}},"canonical_sha256":"ffb31bc4d9b1e3c585a8651cce159d4de6f4d378e1af1e9ed5313621e13c992a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ffb31bc4d9b1e3c585a8651cce159d4de6f4d378e1af1e9ed5313621e13c992a","first_computed_at":"2026-05-18T01:16:02.656588Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:02.656588Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ulz639Yb8ggUv9IHJm3EmbmN/hHHIt9IsOfXDVH7Y3zQ9a55htVm+AFZfyJeikYoYzcED04FQ2bQPiEYHSWYCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:02.657278Z","signed_message":"canonical_sha256_bytes"},"source_id":"1510.07549","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:684435d8234a4b97446f043baabb326a66ecf84ce6b29782fc51be3967dc9599","sha256:b57c94b32c3c4c4e31f8fac23139d4cd171bc869211465b3c7681cc9a11d7f9e"],"state_sha256":"fdd7c803616d571b999ed67bdcf655c9931f14861bcbf8c8c4d6b1623b6f0cbc"}