{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:DZ7TX4237SXQBZVUXONZRONOIA","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":"fb86ee43587793405ca67f364caef5f92de3552c9fc717e28007eb9f4b4dd78a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-18T12:36:27Z","title_canon_sha256":"280823efed0f8240f1c85d89725a42d8753a47ddb1e92f3a34f60360aae21ee5"},"schema_version":"1.0","source":{"id":"1710.06701","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06701","created_at":"2026-05-18T00:32:32Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06701v1","created_at":"2026-05-18T00:32:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06701","created_at":"2026-05-18T00:32:32Z"},{"alias_kind":"pith_short_12","alias_value":"DZ7TX4237SXQ","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_16","alias_value":"DZ7TX4237SXQBZVU","created_at":"2026-05-18T12:31:12Z"},{"alias_kind":"pith_short_8","alias_value":"DZ7TX423","created_at":"2026-05-18T12:31:12Z"}],"graph_snapshots":[{"event_id":"sha256:48b1cda0b52a93d25d95f3fdae7f647ba3daf62864d6d89e1ee82d90da119f2d","target":"graph","created_at":"2026-05-18T00:32:32Z","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 an Obata-type rigidity result for the spherical cap and apply it for an eigenvalue problem with mixed boundary condition.","authors_text":"Ezequiel Barbosa, Sergio Almaraz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-18T12:36:27Z","title":"Rigidity on an eigenvalue problem with mixed boundary condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06701","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:ccea179ce1e5faacf4b91dd79781f62e3adcbf39e204f191bfa34b471d99e619","target":"record","created_at":"2026-05-18T00:32:32Z","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":"fb86ee43587793405ca67f364caef5f92de3552c9fc717e28007eb9f4b4dd78a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-10-18T12:36:27Z","title_canon_sha256":"280823efed0f8240f1c85d89725a42d8753a47ddb1e92f3a34f60360aae21ee5"},"schema_version":"1.0","source":{"id":"1710.06701","kind":"arxiv","version":1}},"canonical_sha256":"1e7f3bf35bfcaf00e6b4bb9b98b9ae4038fc132c00e5fb4130d47c38d25841dd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e7f3bf35bfcaf00e6b4bb9b98b9ae4038fc132c00e5fb4130d47c38d25841dd","first_computed_at":"2026-05-18T00:32:32.919704Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:32:32.919704Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JoFdlIunLEdVi2fv5pVF6Dn0f2FR63b25F2zIRz3VFMvMEA8CA473Ms6rf6tziGRPF2iF6959zwT3c/PG3zyCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:32:32.920247Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06701","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ccea179ce1e5faacf4b91dd79781f62e3adcbf39e204f191bfa34b471d99e619","sha256:48b1cda0b52a93d25d95f3fdae7f647ba3daf62864d6d89e1ee82d90da119f2d"],"state_sha256":"244e1bfd9543470158e6c0a862b1dcca19318f149e8d973bf40098d6f645cf43"}