{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:3BQSG5PX2TDDVBATR4EJZ2JAO3","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":"82381f4baaf8ebda66316c83db137238c5d961aa37888af0b21daf55c8ddf22f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-22T23:32:37Z","title_canon_sha256":"e601f945fcbc9d5f08285d2a4bf870085189bf1fa94e7cbcaea033778467f8a8"},"schema_version":"1.0","source":{"id":"1106.4596","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4596","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4596v1","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4596","created_at":"2026-05-18T04:19:32Z"},{"alias_kind":"pith_short_12","alias_value":"3BQSG5PX2TDD","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"3BQSG5PX2TDDVBAT","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"3BQSG5PX","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:40495d2dca6bbf1f9c746acb0d23ad2b29f1a780fd170359327cbfa69fa69130","target":"graph","created_at":"2026-05-18T04:19:32Z","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 prove that any non-simply connected planar domain can be properly and minimally embedded in H^2 x R. The examples that we produce are vertical bi-graphs, and they are obtained from the conjugate surface of a Jenkins-Serrin graph.","authors_text":"Francisco Mart\\'in, M. Magdalena Rodr\\'iguez","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-22T23:32:37Z","title":"Non-simply connected minimal planar domains in H^2 x R"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4596","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":"sha256:02e65e0792fe5c7731a8f06e762b05a7aba9f410c446edac5aa70cbb1e29e840","target":"record","created_at":"2026-05-18T04:19:32Z","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":"82381f4baaf8ebda66316c83db137238c5d961aa37888af0b21daf55c8ddf22f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-06-22T23:32:37Z","title_canon_sha256":"e601f945fcbc9d5f08285d2a4bf870085189bf1fa94e7cbcaea033778467f8a8"},"schema_version":"1.0","source":{"id":"1106.4596","kind":"arxiv","version":1}},"canonical_sha256":"d8612375f7d4c63a84138f089ce92076e91f96be5aa569a226a0c193815eb4ab","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d8612375f7d4c63a84138f089ce92076e91f96be5aa569a226a0c193815eb4ab","first_computed_at":"2026-05-18T04:19:32.496362Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:32.496362Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SfT0UE/jnkVZ2uYZ8CVSIA4R6Z7r2anDF8BJxVw0eAiv21bjXzlfIOKem47B1+ofcJMzPNWwWJI8F9Lkda9wAw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:32.496736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4596","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:02e65e0792fe5c7731a8f06e762b05a7aba9f410c446edac5aa70cbb1e29e840","sha256:40495d2dca6bbf1f9c746acb0d23ad2b29f1a780fd170359327cbfa69fa69130"],"state_sha256":"5ce1a36cf4c22e4d5dc4892ca354b7a653142d930330b7f48f490390efe881f4"}