{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:34YCZRM6IYL6CQVWEYQ6ARBMNI","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":"20584d85bd316a4ab30f7dfdf14e30c2ca083f9ada2ac65d2444a50f25574baa","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-08T10:06:27Z","title_canon_sha256":"297ede61630de4283ea94aad4a871c1e9359423d094809d2cf7b4312607865a3"},"schema_version":"1.0","source":{"id":"2606.09299","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.09299","created_at":"2026-06-09T02:08:13Z"},{"alias_kind":"arxiv_version","alias_value":"2606.09299v1","created_at":"2026-06-09T02:08:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.09299","created_at":"2026-06-09T02:08:13Z"},{"alias_kind":"pith_short_12","alias_value":"34YCZRM6IYL6","created_at":"2026-06-09T02:08:13Z"},{"alias_kind":"pith_short_16","alias_value":"34YCZRM6IYL6CQVW","created_at":"2026-06-09T02:08:13Z"},{"alias_kind":"pith_short_8","alias_value":"34YCZRM6","created_at":"2026-06-09T02:08:13Z"}],"graph_snapshots":[{"event_id":"sha256:a6a87f4273d578c897030d591a2df816507efe18734e6a4586fab4b0b9f5e309","target":"graph","created_at":"2026-06-09T02:08:13Z","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/2606.09299/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a hyperbolic approximation (\"hyperbolization\") of the Cahn-Hilliard (CH) equation, originally proposed by Dhaouadi, Dumbser, and Gavrilyuk (2025, DOI: 10.1098/rspa.2024.0606) and study its convergence towards the CH model in a relaxation limit both via formal asymptotic expansions and, for a slightly modified approximation, via the relative energy framework. Moreover, we develop energy-stable semidiscretizations of the CH equation and of this hyperbolization using upwind summation-by-parts operators in space. Subsequently, we combine them with (additive) implicit-explicit (IMEX) Runge","authors_text":"Fabio Leotta, Hendrik Ranocha, Jan Giesselmann, Jochen Schuetz","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-08T10:06:27Z","title":"Justification and structure- and asymptotic-preserving discretizations of a hyperbolized Cahn-Hilliard equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.09299","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:dba99182933aad884ef5d079fc250db695c37f2165738e0d92a1a6f0bbd5393e","target":"record","created_at":"2026-06-09T02:08:13Z","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":"20584d85bd316a4ab30f7dfdf14e30c2ca083f9ada2ac65d2444a50f25574baa","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2026-06-08T10:06:27Z","title_canon_sha256":"297ede61630de4283ea94aad4a871c1e9359423d094809d2cf7b4312607865a3"},"schema_version":"1.0","source":{"id":"2606.09299","kind":"arxiv","version":1}},"canonical_sha256":"df302cc59e4617e142b62621e0442c6a2dabfeee2089d8b918519fe98d1adaf8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"df302cc59e4617e142b62621e0442c6a2dabfeee2089d8b918519fe98d1adaf8","first_computed_at":"2026-06-09T02:08:13.438935Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-09T02:08:13.438935Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DEcVSHyzq+a8TZetarNqqaTDyoWfwrwwQrjy36n87t46wxjgBzSAXocCXnQQ8jAaLC3VUko/9eaf4lN+NfBkDg==","signature_status":"signed_v1","signed_at":"2026-06-09T02:08:13.439884Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.09299","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dba99182933aad884ef5d079fc250db695c37f2165738e0d92a1a6f0bbd5393e","sha256:a6a87f4273d578c897030d591a2df816507efe18734e6a4586fab4b0b9f5e309"],"state_sha256":"7705b99951e36c124a9478155b5ea707096c78d04bcaf34a608f1e10bcbb4f13"}