{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:XIR7KETNXLNOMMXK35NYLXHG6N","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":"2994c3b3771fd5d9f5060cd16556105a98c6074d14e439b8bc4c6a0b734d17ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-04-16T10:44:44Z","title_canon_sha256":"aa01934c867875957e66a9062ede410227eb50a524db74e58095c309708d7baf"},"schema_version":"1.0","source":{"id":"1505.04180","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1505.04180","created_at":"2026-05-18T02:09:39Z"},{"alias_kind":"arxiv_version","alias_value":"1505.04180v1","created_at":"2026-05-18T02:09:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1505.04180","created_at":"2026-05-18T02:09:39Z"},{"alias_kind":"pith_short_12","alias_value":"XIR7KETNXLNO","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_16","alias_value":"XIR7KETNXLNOMMXK","created_at":"2026-05-18T12:29:50Z"},{"alias_kind":"pith_short_8","alias_value":"XIR7KETN","created_at":"2026-05-18T12:29:50Z"}],"graph_snapshots":[{"event_id":"sha256:779d9d73ae662feacb22e123084c8129bf9db32bb2e71b7df461a883fc3c6c83","target":"graph","created_at":"2026-05-18T02:09:39Z","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 the present article we study a special class of surfaces in the four-dimensional Euclidean space, which are one-parameter systems of meridians of the standard rotational hypersurface. They are called meridian surfaces. We classified semi-parallel meridian surface in 4-dimensional Euclidean space $E^4$.","authors_text":"Bet\\\"ul Bulca, Kadri Arslan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-04-16T10:44:44Z","title":"Semi-parallel Meridian Surfaces in $E^4$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1505.04180","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":"sha256:45670d4ae1a1aed3d0a7d8033686a359234ed55d667582923e57cc0cc043ed50","target":"record","created_at":"2026-05-18T02:09:39Z","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":"2994c3b3771fd5d9f5060cd16556105a98c6074d14e439b8bc4c6a0b734d17ff","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-04-16T10:44:44Z","title_canon_sha256":"aa01934c867875957e66a9062ede410227eb50a524db74e58095c309708d7baf"},"schema_version":"1.0","source":{"id":"1505.04180","kind":"arxiv","version":1}},"canonical_sha256":"ba23f5126dbadae632eadf5b85dce6f3777b0c2606e066a90e0e754895c69ac5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ba23f5126dbadae632eadf5b85dce6f3777b0c2606e066a90e0e754895c69ac5","first_computed_at":"2026-05-18T02:09:39.828123Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:09:39.828123Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4Fr5sKFRe1D5tVjXpOzT5VNNiroPgDuWZ/KQV5eiueS0sIVHjz8Gaj+mOkM+aZ9X0T4e24HfrtTIa6aBt9VlDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:09:39.828805Z","signed_message":"canonical_sha256_bytes"},"source_id":"1505.04180","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:45670d4ae1a1aed3d0a7d8033686a359234ed55d667582923e57cc0cc043ed50","sha256:779d9d73ae662feacb22e123084c8129bf9db32bb2e71b7df461a883fc3c6c83"],"state_sha256":"387e7d8a466f068d36da4d606b2b0889303d69743cbd4ac85e27aa7e968d992e"}