{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SCQVJBVUYEBI7AUBF2KAYZNADM","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":"82c0809e178354871e03ceb09f9c54563a3b1208454ee23e936cab4b5b3e5582","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-18T16:46:24Z","title_canon_sha256":"f203c8721a3e406b76125ef2a31268fe778c00dd909f24ec8ec1e3f3b9a09ced"},"schema_version":"1.0","source":{"id":"1704.05418","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1704.05418","created_at":"2026-05-18T00:15:42Z"},{"alias_kind":"arxiv_version","alias_value":"1704.05418v1","created_at":"2026-05-18T00:15:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1704.05418","created_at":"2026-05-18T00:15:42Z"},{"alias_kind":"pith_short_12","alias_value":"SCQVJBVUYEBI","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SCQVJBVUYEBI7AUB","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SCQVJBVU","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:fc9a73109aaa95052c53a6b188cfbc5fa1ab222d97411c3625df4226160cdac1","target":"graph","created_at":"2026-05-18T00:15:42Z","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":"Based on the work of Schoen-Yau, we derive an estimate of the first eigenvalue of a Schr\\\"odinger Operator (the Jaocbi operator of minimal surfaces in flat 3-spaces) on surfaces.","authors_text":"Teng Fei, Zhijie Huang","cross_cats":["math.AP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-18T16:46:24Z","title":"An Estimate of the First Eigenvalue of a Schr\\\"odinger Operator on Closed Surfaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1704.05418","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:aba2af9a5760477748873993177f1616f3c749e795b9f22601a7c1f46b34cdd7","target":"record","created_at":"2026-05-18T00:15:42Z","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":"82c0809e178354871e03ceb09f9c54563a3b1208454ee23e936cab4b5b3e5582","cross_cats_sorted":["math.AP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-04-18T16:46:24Z","title_canon_sha256":"f203c8721a3e406b76125ef2a31268fe778c00dd909f24ec8ec1e3f3b9a09ced"},"schema_version":"1.0","source":{"id":"1704.05418","kind":"arxiv","version":1}},"canonical_sha256":"90a15486b4c1028f82812e940c65a01b2668f829893f5bfa26e85987cce0b023","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"90a15486b4c1028f82812e940c65a01b2668f829893f5bfa26e85987cce0b023","first_computed_at":"2026-05-18T00:15:42.279550Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:15:42.279550Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"q5Yz2uZzqM711LHEBX+C41xz07AlHq8KVZoP/QFj56drwL0QjPpReZqMbvcwNMX/kibpso89bdDVZe5FGPqjAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:15:42.280100Z","signed_message":"canonical_sha256_bytes"},"source_id":"1704.05418","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aba2af9a5760477748873993177f1616f3c749e795b9f22601a7c1f46b34cdd7","sha256:fc9a73109aaa95052c53a6b188cfbc5fa1ab222d97411c3625df4226160cdac1"],"state_sha256":"02cdcbcda581c0159c137b0bf44dd200d92761ae7d4c97ad7165acbf6b80d634"}