{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JALAJDFSFOILGZ3HKCU53SNZ7E","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":"8a777b2f6b4e91b7b484afa56814aa92e98346d26a940c1e06a0de5cbc5fb8fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-21T12:30:25Z","title_canon_sha256":"a7871bd0443998e417d4a7e0c5c89cc805afabca7e007315406481194f304559"},"schema_version":"1.0","source":{"id":"2605.22396","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.22396","created_at":"2026-05-22T01:04:41Z"},{"alias_kind":"arxiv_version","alias_value":"2605.22396v1","created_at":"2026-05-22T01:04:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.22396","created_at":"2026-05-22T01:04:41Z"},{"alias_kind":"pith_short_12","alias_value":"JALAJDFSFOIL","created_at":"2026-05-22T01:04:41Z"},{"alias_kind":"pith_short_16","alias_value":"JALAJDFSFOILGZ3H","created_at":"2026-05-22T01:04:41Z"},{"alias_kind":"pith_short_8","alias_value":"JALAJDFS","created_at":"2026-05-22T01:04:41Z"}],"graph_snapshots":[{"event_id":"sha256:fc4a7492d9f23ea5f5718041876e697679bfc4630af32b1c9e00d823fc5f83fe","target":"graph","created_at":"2026-05-22T01:04:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2605.22396/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Biconservative submanifolds arise as a natural relaxation of the biharmonic condition and play an important role in the submanifold theory. In this paper, we study non-CMC biconservative surfaces with parallel normalized mean curvature vector field (PNMC surfaces) in the four-dimensional hyperbolic space $\\mathbb{H}^4$, for which we consider the hyperboloid model. We provide a local extrinsic description of such surfaces, showing that they are generated by a directrix curve lying in a totally geodesic hypersurface $\\mathbb{H}^3$ of $\\mathbb{H}^4$, through a certain normal flow. This extrinsic ","authors_text":"Mihaela Rusu, Simona Nistor","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-21T12:30:25Z","title":"Extrinsic characterizations of biconservative surfaces in the $4$-dimensional hyperbolic space"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2605.22396","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:ca1b4f2f3037746160cd252e1fad0da3971121ca03c5083f914944fe3354b150","target":"record","created_at":"2026-05-22T01:04:41Z","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":"8a777b2f6b4e91b7b484afa56814aa92e98346d26a940c1e06a0de5cbc5fb8fd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2026-05-21T12:30:25Z","title_canon_sha256":"a7871bd0443998e417d4a7e0c5c89cc805afabca7e007315406481194f304559"},"schema_version":"1.0","source":{"id":"2605.22396","kind":"arxiv","version":1}},"canonical_sha256":"4816048cb22b90b3676750a9ddc9b9f9363c597e3401867adcfaee043b704100","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4816048cb22b90b3676750a9ddc9b9f9363c597e3401867adcfaee043b704100","first_computed_at":"2026-05-22T01:04:41.428482Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-22T01:04:41.428482Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Qt0X3XusBkqbmPIwPfFWHv+j5s3gkLt4P7BsbCpObj8L6TaRC/RF+44JF/T9GiIJkXkEoXD11ii30XhYzDlWBA==","signature_status":"signed_v1","signed_at":"2026-05-22T01:04:41.429113Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.22396","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ca1b4f2f3037746160cd252e1fad0da3971121ca03c5083f914944fe3354b150","sha256:fc4a7492d9f23ea5f5718041876e697679bfc4630af32b1c9e00d823fc5f83fe"],"state_sha256":"f84d4991863d0458ff6a8e5d0251a3f2ba98679c9f72948a9f5528d710aaea86"}