{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:DZYMWKLPVBYYB45YJXED4667ST","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":"b8695dc456d71930ab44906401033462d6b6b96a8865b56ca12d9203242270a5","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-09-08T13:31:40Z","title_canon_sha256":"9ed81dd6dc974eff9693455800994696ff4ffc1d8c0827ba8bd8019fda64ab78"},"schema_version":"1.0","source":{"id":"2509.06673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.06673","created_at":"2026-07-05T12:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"2509.06673v1","created_at":"2026-07-05T12:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.06673","created_at":"2026-07-05T12:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"DZYMWKLPVBYY","created_at":"2026-07-05T12:06:50Z"},{"alias_kind":"pith_short_16","alias_value":"DZYMWKLPVBYYB45Y","created_at":"2026-07-05T12:06:50Z"},{"alias_kind":"pith_short_8","alias_value":"DZYMWKLP","created_at":"2026-07-05T12:06:50Z"}],"graph_snapshots":[{"event_id":"sha256:1bbbbc11f4599df104b0d9f379b4d2de33642eccba34b189a2daf18d22cdae58","target":"graph","created_at":"2026-07-05T12:06:50Z","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/2509.06673/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we propose a parallel solver for solving the quasi-static linear poroelasticity coupled with linear elasticity model in the Lagrange multiplier framework. Firstly, we reformulate the model into a coupling of the nearly incompressible elasticity and an unsteady affection-diffusion equations by setting new variable ``elastic pressure\" and ``volumetric fluid content\". And we introduce a Lagrange multiplier to guarantee the normal stress continuity on the interface. Then, we give the variational formulations in each subdomain and choose the $\\boldsymbol{P}_k$-$P_1$-$P_1$ mixed finit","authors_text":"Chengxin Wang, Zhihao Ge","cross_cats":["cs.CE","cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-09-08T13:31:40Z","title":"A Parallel Solver with Multiphysics Finite Element Method for Poroelasticity Coupled with Elasticity Model"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.06673","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":"sha256:4fb0bc58d28bef9740918f88030ab5055b3f51909487f698eff2ead6a7d05264","target":"record","created_at":"2026-07-05T12:06:50Z","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":"b8695dc456d71930ab44906401033462d6b6b96a8865b56ca12d9203242270a5","cross_cats_sorted":["cs.CE","cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2025-09-08T13:31:40Z","title_canon_sha256":"9ed81dd6dc974eff9693455800994696ff4ffc1d8c0827ba8bd8019fda64ab78"},"schema_version":"1.0","source":{"id":"2509.06673","kind":"arxiv","version":1}},"canonical_sha256":"1e70cb296fa87180f3b84dc83e7bdf94ee2fbfec1a51f1e92e91f85eed66a6cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1e70cb296fa87180f3b84dc83e7bdf94ee2fbfec1a51f1e92e91f85eed66a6cd","first_computed_at":"2026-07-05T12:06:50.362284Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T12:06:50.362284Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UQRKFoecIKmZyXLxye/jvA8iv4+ZEn5Z6uOoUropJzGqJhiJKwCMwDpGi+rN8F2AZK/BqRwVgwDmWjGaX3TwAw==","signature_status":"signed_v1","signed_at":"2026-07-05T12:06:50.362714Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.06673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4fb0bc58d28bef9740918f88030ab5055b3f51909487f698eff2ead6a7d05264","sha256:1bbbbc11f4599df104b0d9f379b4d2de33642eccba34b189a2daf18d22cdae58"],"state_sha256":"c15e5271d2050d8ad3d126ac52734965b5210ba0206f681cbff909e833e14fa6"}