{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:ISZYDTHUQV4GWOPCAVRRK64533","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":"fcc60c6b7948039d8b3bda79111a187d04e406098db067e8174a5b5caeda205f","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-11T21:33:29Z","title_canon_sha256":"43018771dac99605346b59100564779dddc1c9a9bd65daeef8e5885d30e98014"},"schema_version":"1.0","source":{"id":"1904.05960","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1904.05960","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"arxiv_version","alias_value":"1904.05960v1","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1904.05960","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_12","alias_value":"ISZYDTHUQV4G","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_16","alias_value":"ISZYDTHUQV4GWOPC","created_at":"2026-06-04T20:14:24Z"},{"alias_kind":"pith_short_8","alias_value":"ISZYDTHU","created_at":"2026-06-04T20:14:24Z"}],"graph_snapshots":[{"event_id":"sha256:d02861e80f9cabe8a5f4b6b4ccb0568cd1debf3dd63922e81e5f5f8470a62e18","target":"graph","created_at":"2026-06-04T20:14:24Z","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/1904.05960/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Simulation of multiphase poromechanics involves solving a multi-physics problem in which multiphase flow and transport are tightly coupled with the porous medium deformation. To capture this dynamic interplay, fully implicit methods, also known as monolithic approaches, are usually preferred. The main bottleneck of a monolithic approach is that it requires solution of large linear systems that result from the discretization and linearization of the governing balance equations. Because such systems are non-symmetric, indefinite, and highly ill-conditioned, preconditioning is critical for fast c","authors_text":"Daniel Osei-Kuffuor, Joshua A. White, Nicola Castelletto, Quan M. Bui","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-11T21:33:29Z","title":"A Scalable Multigrid Reduction Framework for Multiphase Poromechanics of Heterogeneous Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1904.05960","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":"sha256:93b76886c73cbc26feb54e90fff2ee02e5076755a70f65f76d4856e0ba6245b8","target":"record","created_at":"2026-06-04T20:14:24Z","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":"fcc60c6b7948039d8b3bda79111a187d04e406098db067e8174a5b5caeda205f","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2019-04-11T21:33:29Z","title_canon_sha256":"43018771dac99605346b59100564779dddc1c9a9bd65daeef8e5885d30e98014"},"schema_version":"1.0","source":{"id":"1904.05960","kind":"arxiv","version":1}},"canonical_sha256":"44b381ccf485786b39e20563157b9ddeff9b7c47fdadc8b6a7704a015437c671","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"44b381ccf485786b39e20563157b9ddeff9b7c47fdadc8b6a7704a015437c671","first_computed_at":"2026-06-04T20:14:24.685225Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T20:14:24.685225Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"pPirwbASqfrQjhyk0+l5MNAEAhM4pcgEnqVZy0l3G+HYEl0oe8zy3hvf+jcxXqg0K//fxhVopqtiP7r0RHosBQ==","signature_status":"signed_v1","signed_at":"2026-06-04T20:14:24.685709Z","signed_message":"canonical_sha256_bytes"},"source_id":"1904.05960","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:93b76886c73cbc26feb54e90fff2ee02e5076755a70f65f76d4856e0ba6245b8","sha256:d02861e80f9cabe8a5f4b6b4ccb0568cd1debf3dd63922e81e5f5f8470a62e18"],"state_sha256":"e7f627ac310755f90129e33ea47a17658060664c44d95edea7c499b55315e771"}