{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:BNCKPC344HQS2H3TXVYTPF6BCH","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":"0cea0d399d9cba1e8495a1154522ad2b4a048d6ad2c4eef20a45f36a20689baa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-09-29T11:00:33Z","title_canon_sha256":"984f0771099a902965be1c76d693b9bb0f52115f72c70a591fb39d414ae3c874"},"schema_version":"1.0","source":{"id":"1109.6474","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1109.6474","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"arxiv_version","alias_value":"1109.6474v2","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1109.6474","created_at":"2026-05-18T03:55:46Z"},{"alias_kind":"pith_short_12","alias_value":"BNCKPC344HQS","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_16","alias_value":"BNCKPC344HQS2H3T","created_at":"2026-05-18T12:26:24Z"},{"alias_kind":"pith_short_8","alias_value":"BNCKPC34","created_at":"2026-05-18T12:26:24Z"}],"graph_snapshots":[{"event_id":"sha256:3cb49857a525cfbf6977531942053c5f51263960d3b421f28847bd464374ae9f","target":"graph","created_at":"2026-05-18T03:55:46Z","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 this paper we characterize compact and complete hypersurfaces with some constant higher order mean curvature into warped product spaces. Our approach is based on the use of a new trace operator version of the Omori-Yau maximum principle which seems to be interesting in its own.","authors_text":"Debora Impera, Luis J. Alias, Marco Rigoli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-09-29T11:00:33Z","title":"Hypersurfaces of constant higher order mean curvature in warped products"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1109.6474","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":"sha256:640847c4d1f38f3938042aaf4f2aeb497530bf5c9e623a01bf6aedb4647cb9d5","target":"record","created_at":"2026-05-18T03:55:46Z","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":"0cea0d399d9cba1e8495a1154522ad2b4a048d6ad2c4eef20a45f36a20689baa","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2011-09-29T11:00:33Z","title_canon_sha256":"984f0771099a902965be1c76d693b9bb0f52115f72c70a591fb39d414ae3c874"},"schema_version":"1.0","source":{"id":"1109.6474","kind":"arxiv","version":2}},"canonical_sha256":"0b44a78b7ce1e12d1f73bd713797c111f308805efb2ac2a8be3ed37278544c11","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0b44a78b7ce1e12d1f73bd713797c111f308805efb2ac2a8be3ed37278544c11","first_computed_at":"2026-05-18T03:55:46.983040Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:55:46.983040Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MvNPUZvsejgerGlItxm7QSpmZ2Wff2UfOjn0Ll8ht+jQ6agiptu4ek3vov8PIkwEOnib+nD1LPOpqZ4m5oyoAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:55:46.983677Z","signed_message":"canonical_sha256_bytes"},"source_id":"1109.6474","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:640847c4d1f38f3938042aaf4f2aeb497530bf5c9e623a01bf6aedb4647cb9d5","sha256:3cb49857a525cfbf6977531942053c5f51263960d3b421f28847bd464374ae9f"],"state_sha256":"84ad9fc2dc2743dc2e01f1fad7c1d3d0ad5c06956f98ef892dc0c1eac02bab3a"}