{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:SURECPVURPTBOAVYTPG4WE4DDF","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":"73b34b7b42d9783fd7cb429be5ac21fa64738ac70e6f65b4a9586fd0580f312f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-06-02T15:56:45Z","title_canon_sha256":"452afe4b41e7d5804ed630e213a6cf914a29136bfe1fac04cd377d2ac1ce84b8"},"schema_version":"1.0","source":{"id":"1706.00783","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.00783","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"arxiv_version","alias_value":"1706.00783v2","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.00783","created_at":"2026-05-18T00:37:54Z"},{"alias_kind":"pith_short_12","alias_value":"SURECPVURPTB","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_16","alias_value":"SURECPVURPTBOAVY","created_at":"2026-05-18T12:31:43Z"},{"alias_kind":"pith_short_8","alias_value":"SURECPVU","created_at":"2026-05-18T12:31:43Z"}],"graph_snapshots":[{"event_id":"sha256:eba07c59cc06ed2c410dd6157e04875fd6a9beaae30896178998bf8bca3ec6e0","target":"graph","created_at":"2026-05-18T00:37:54Z","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":"Our paper is an attempt to to verify the Chen's conjecture on biharmonic submanifolds and to classify biconservative submanifolds.\n  In doing so we provide an affirmative answer to Chen's conjecture on biharmonic submanifolds. We prove that every biconservative Lorentz hypersurface $M_{1}^{n}$ in $\\mathbb{E}_{1}^{n+1}$ having complex eigenvalues has constant mean curvature. Moreover, every biharmonic Lorentz hypersurface $M_{1}^{n}$ having complex eigenvalues in $\\mathbb{E}_{1}^{n+1}$ must be minimal.","authors_text":"A. Sharfuddin, Ram Shankar Gupta","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-06-02T15:56:45Z","title":"Biconservative Lorentz hypersurfaces in $\\mathbb{E}_{1}^{\\lowercase{n}+1}$ with complex eigenvalues"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.00783","kind":"arxiv","version":2},"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":"sha256:5c8439e9446930e171f5485b1481f663997193ae3a5d04c89c1b17780a2d7538","target":"record","created_at":"2026-05-18T00:37:54Z","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":"73b34b7b42d9783fd7cb429be5ac21fa64738ac70e6f65b4a9586fd0580f312f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2017-06-02T15:56:45Z","title_canon_sha256":"452afe4b41e7d5804ed630e213a6cf914a29136bfe1fac04cd377d2ac1ce84b8"},"schema_version":"1.0","source":{"id":"1706.00783","kind":"arxiv","version":2}},"canonical_sha256":"9522413eb48be61702b89bcdcb13831942116ed946aff9210ed751dd1ed6a976","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9522413eb48be61702b89bcdcb13831942116ed946aff9210ed751dd1ed6a976","first_computed_at":"2026-05-18T00:37:54.312882Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:54.312882Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3pETZS5WU5uUqfnSwMwT6drpR/kR70aexo/uuK0gQU4+t5t+bKMuzEc7uDW6U2qD3noRfbLJfaEzSeWUa+5wCA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:54.313401Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.00783","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5c8439e9446930e171f5485b1481f663997193ae3a5d04c89c1b17780a2d7538","sha256:eba07c59cc06ed2c410dd6157e04875fd6a9beaae30896178998bf8bca3ec6e0"],"state_sha256":"10185ba127e855c75b02f70e25706c73b429d10f4f70960e3c0286a7a9544cb3"}