{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DPCYUN6U25OF6D74ENTG4WXONB","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":"c0ce2a1cc205a4e25268ecfc12a3e9e562b4446dbd4636091be856cb80a367d4","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-06-08T13:15:01Z","title_canon_sha256":"5c0648d2db0fb31d12adb4ef7f523430f7c8785f43bf8f0d5a2b00e59184ad2d"},"schema_version":"1.0","source":{"id":"2506.07128","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2506.07128","created_at":"2026-07-05T11:18:02Z"},{"alias_kind":"arxiv_version","alias_value":"2506.07128v1","created_at":"2026-07-05T11:18:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2506.07128","created_at":"2026-07-05T11:18:02Z"},{"alias_kind":"pith_short_12","alias_value":"DPCYUN6U25OF","created_at":"2026-07-05T11:18:02Z"},{"alias_kind":"pith_short_16","alias_value":"DPCYUN6U25OF6D74","created_at":"2026-07-05T11:18:02Z"},{"alias_kind":"pith_short_8","alias_value":"DPCYUN6U","created_at":"2026-07-05T11:18:02Z"}],"graph_snapshots":[{"event_id":"sha256:3a22877272eca644f2de3bb27b6d818aa323794542c5f8f8d623a5d17b614f9e","target":"graph","created_at":"2026-07-05T11:18:02Z","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/2506.07128/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, based on a generalized scalar auxiliary variable approach with relaxation (R-GSAV), we construct a class of high-order backward differentiation formula (BDF) schemes with variable time steps for the Cahn-Hilliard-Brinkman(CHB) system. In theory, it is strictly proved that the designed schemes are unconditionally energy-stable. With the delicate treatment of adaptive strategies, we propose several adaptive time-step algorithms to enhance the robustness of the schemes. More importantly, a novel hybrid-order adaptive time steps algorithm performs outstanding for the coupled system.","authors_text":"Dawei Chen, Minghui Li, Qinzhen Ren","cross_cats":["cs.NA","physics.comp-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-06-08T13:15:01Z","title":"New highly efficient and accurate numerical scheme for the Cahn-Hilliard-Brinkman system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2506.07128","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":"sha256:54a84ac342b068638312c2c65c96e4ccf64a4d587de7e329cb185054a931f107","target":"record","created_at":"2026-07-05T11:18:02Z","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":"c0ce2a1cc205a4e25268ecfc12a3e9e562b4446dbd4636091be856cb80a367d4","cross_cats_sorted":["cs.NA","physics.comp-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-06-08T13:15:01Z","title_canon_sha256":"5c0648d2db0fb31d12adb4ef7f523430f7c8785f43bf8f0d5a2b00e59184ad2d"},"schema_version":"1.0","source":{"id":"2506.07128","kind":"arxiv","version":1}},"canonical_sha256":"1bc58a37d4d75c5f0ffc23666e5aee6864527fdfa23e286c44ac4f3b97667432","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1bc58a37d4d75c5f0ffc23666e5aee6864527fdfa23e286c44ac4f3b97667432","first_computed_at":"2026-07-05T11:18:02.118876Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:18:02.118876Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"FgwvNEmg0eJwAluvZ3QQQvK/STWx07S9S5cy3nXgqPstG+Ca9OTLo8xarItP5uvsMykT58cIjimL1WYlDUYUCg==","signature_status":"signed_v1","signed_at":"2026-07-05T11:18:02.119415Z","signed_message":"canonical_sha256_bytes"},"source_id":"2506.07128","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54a84ac342b068638312c2c65c96e4ccf64a4d587de7e329cb185054a931f107","sha256:3a22877272eca644f2de3bb27b6d818aa323794542c5f8f8d623a5d17b614f9e"],"state_sha256":"32605de498939476fa60b696f0eeb4250762e2b323e7bf98231737bcb156e740"}