{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:NC2YZ57M6CWEFGRINXXN7PPVYE","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":"cad31e986cffbaff77d540fad3da20aaf8d22e0f6f4cc947425e43dc63414fc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-12-23T21:04:47Z","title_canon_sha256":"246ecced11e41d02e7602fa4094730bc9f7433821b9017eb13e53bb6f8fbdb23"},"schema_version":"1.0","source":{"id":"1512.07637","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1512.07637","created_at":"2026-05-18T01:23:48Z"},{"alias_kind":"arxiv_version","alias_value":"1512.07637v1","created_at":"2026-05-18T01:23:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1512.07637","created_at":"2026-05-18T01:23:48Z"},{"alias_kind":"pith_short_12","alias_value":"NC2YZ57M6CWE","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_16","alias_value":"NC2YZ57M6CWEFGRI","created_at":"2026-05-18T12:29:32Z"},{"alias_kind":"pith_short_8","alias_value":"NC2YZ57M","created_at":"2026-05-18T12:29:32Z"}],"graph_snapshots":[{"event_id":"sha256:601fe47d9ee2d586bc801548527081958fe16657d8cc59b42934dc8f75f1e52d","target":"graph","created_at":"2026-05-18T01:23:48Z","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":"Given $H\\in [0,\\infty),$ some sufficient conditions for existence of CMC $H$ graphs with boundary in two parallel planes of $\\mathbb{H}^2\\times\\mathbb{R}$ are presented. Height estimates for outwards-oriented CMC surfaces (horo)cyllindrically bounded are also exhibited.","authors_text":"Miriam Telichevesky, Patr\\'icia Klaser, Rodrigo Soares","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-12-23T21:04:47Z","title":"Constant mean curvature surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$ with boundary in two parallel planes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1512.07637","kind":"arxiv","version":1},"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":"sha256:1f22f13f1e0b7a0edafbba2e578090cf6cfdd8bf5bac1b5620dfad798d5445dd","target":"record","created_at":"2026-05-18T01:23:48Z","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":"cad31e986cffbaff77d540fad3da20aaf8d22e0f6f4cc947425e43dc63414fc8","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-12-23T21:04:47Z","title_canon_sha256":"246ecced11e41d02e7602fa4094730bc9f7433821b9017eb13e53bb6f8fbdb23"},"schema_version":"1.0","source":{"id":"1512.07637","kind":"arxiv","version":1}},"canonical_sha256":"68b58cf7ecf0ac429a286deedfbdf5c124dc6699626d5f00f40169756ad13d8e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"68b58cf7ecf0ac429a286deedfbdf5c124dc6699626d5f00f40169756ad13d8e","first_computed_at":"2026-05-18T01:23:48.924078Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:23:48.924078Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1L7sCdhHO1OzTnPM4SD9iyhXhLjzdX8TJwaJCya1tbhvHZb7sSc0Hz9g6hwx7tTq5iz+jWCa3pgSWacBIIdYAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:23:48.924795Z","signed_message":"canonical_sha256_bytes"},"source_id":"1512.07637","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f22f13f1e0b7a0edafbba2e578090cf6cfdd8bf5bac1b5620dfad798d5445dd","sha256:601fe47d9ee2d586bc801548527081958fe16657d8cc59b42934dc8f75f1e52d"],"state_sha256":"3b69f78cea05bf87b6975f4308f4b0f28c5ac655477dd502299dc8e2ed063523"}