{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:MUGVDWM5PJHK4QJVJLZF7TU4CE","short_pith_number":"pith:MUGVDWM5","canonical_record":{"source":{"id":"1805.04211","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-11T00:13:30Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"bbbc9a11664333206c68dd16389e3e1256a0d2dec37f24b441d563a8c7c2cf7e","abstract_canon_sha256":"45c6f8bb9261e6d12bba81caf7dbe200be8e8ff4ee84f54ac9f3527e80bd179e"},"schema_version":"1.0"},"canonical_sha256":"650d51d99d7a4eae41354af25fce9c1113d4390362b8b66359b43e1dcdcbdda0","source":{"kind":"arxiv","id":"1805.04211","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04211","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04211v1","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04211","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"pith_short_12","alias_value":"MUGVDWM5PJHK","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"pith_short_16","alias_value":"MUGVDWM5PJHK4QJV","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"pith_short_8","alias_value":"MUGVDWM5","created_at":"2026-06-04T19:11:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:MUGVDWM5PJHK4QJVJLZF7TU4CE","target":"record","payload":{"canonical_record":{"source":{"id":"1805.04211","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-11T00:13:30Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"bbbc9a11664333206c68dd16389e3e1256a0d2dec37f24b441d563a8c7c2cf7e","abstract_canon_sha256":"45c6f8bb9261e6d12bba81caf7dbe200be8e8ff4ee84f54ac9f3527e80bd179e"},"schema_version":"1.0"},"canonical_sha256":"650d51d99d7a4eae41354af25fce9c1113d4390362b8b66359b43e1dcdcbdda0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T19:11:53.034537Z","signature_b64":"IvSor2meb3xRfyPO+W+U/VF0UFElGq7Yaou2NR3wfxxiPIdemh/c5HAatjVXZ5yjfqew0YHkCRqFy2LBpRBnDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"650d51d99d7a4eae41354af25fce9c1113d4390362b8b66359b43e1dcdcbdda0","last_reissued_at":"2026-06-04T19:11:53.034073Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T19:11:53.034073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1805.04211","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T19:11:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wNNPf6XTy1VQSKxheQylfIol9E+cIaWKf0WtpL040WdUepQ6MeBU4xosjvUz/c88CDOAOoQoglZ0r9waLuD4AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:16:35.190559Z"},"content_sha256":"c6b4d2fb68385c58128b53f76246d06cc7cae3ccdb9d1cf5cd4eea8f5f839426","schema_version":"1.0","event_id":"sha256:c6b4d2fb68385c58128b53f76246d06cc7cae3ccdb9d1cf5cd4eea8f5f839426"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:MUGVDWM5PJHK4QJVJLZF7TU4CE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Florin Adrian Radu, Jakub Wiktor Both, Jan Martin Nordbotten, Kundan Kumar","submitted_at":"2018-05-11T00:13:30Z","abstract_excerpt":"In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated materials. The model of interest couples the Richards equation with linear elasticity equations, employing the equivalent pore pressure. In practice a monolithic solver is not always available, defining the requirement for a linearization scheme to allow the use of separate simulators, which is not met by the classical Newton method. We propose three different linearization schemes incorporating the fixed-stress splitting scheme, coupled with an L-scheme, Modified Picard and Newton linearization of the f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04211","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1805.04211/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-04T19:11:53Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gg/Y/4+ouq14iAfNF2jSTEciR7nvuITkUGenhGMkHmixSMhtumv/ZUkuF1X7IONjTOcxSmWC7Ym891TCHVGsCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T20:16:35.190948Z"},"content_sha256":"2775812130b5fd524901b62a147fcc46e12d8cb103fe37b9d7a1de01b3afa091","schema_version":"1.0","event_id":"sha256:2775812130b5fd524901b62a147fcc46e12d8cb103fe37b9d7a1de01b3afa091"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE/bundle.json","state_url":"https://pith.science/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-07-02T20:16:35Z","links":{"resolver":"https://pith.science/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE","bundle":"https://pith.science/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE/bundle.json","state":"https://pith.science/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/MUGVDWM5PJHK4QJVJLZF7TU4CE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:MUGVDWM5PJHK4QJVJLZF7TU4CE","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":"45c6f8bb9261e6d12bba81caf7dbe200be8e8ff4ee84f54ac9f3527e80bd179e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-11T00:13:30Z","title_canon_sha256":"bbbc9a11664333206c68dd16389e3e1256a0d2dec37f24b441d563a8c7c2cf7e"},"schema_version":"1.0","source":{"id":"1805.04211","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1805.04211","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"arxiv_version","alias_value":"1805.04211v1","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1805.04211","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"pith_short_12","alias_value":"MUGVDWM5PJHK","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"pith_short_16","alias_value":"MUGVDWM5PJHK4QJV","created_at":"2026-06-04T19:11:53Z"},{"alias_kind":"pith_short_8","alias_value":"MUGVDWM5","created_at":"2026-06-04T19:11:53Z"}],"graph_snapshots":[{"event_id":"sha256:2775812130b5fd524901b62a147fcc46e12d8cb103fe37b9d7a1de01b3afa091","target":"graph","created_at":"2026-06-04T19:11:53Z","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/1805.04211/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, we study the robust linearization of nonlinear poromechanics of unsaturated materials. The model of interest couples the Richards equation with linear elasticity equations, employing the equivalent pore pressure. In practice a monolithic solver is not always available, defining the requirement for a linearization scheme to allow the use of separate simulators, which is not met by the classical Newton method. We propose three different linearization schemes incorporating the fixed-stress splitting scheme, coupled with an L-scheme, Modified Picard and Newton linearization of the f","authors_text":"Florin Adrian Radu, Jakub Wiktor Both, Jan Martin Nordbotten, Kundan Kumar","cross_cats":["cs.NA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-11T00:13:30Z","title":"Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1805.04211","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:c6b4d2fb68385c58128b53f76246d06cc7cae3ccdb9d1cf5cd4eea8f5f839426","target":"record","created_at":"2026-06-04T19:11:53Z","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":"45c6f8bb9261e6d12bba81caf7dbe200be8e8ff4ee84f54ac9f3527e80bd179e","cross_cats_sorted":["cs.NA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2018-05-11T00:13:30Z","title_canon_sha256":"bbbc9a11664333206c68dd16389e3e1256a0d2dec37f24b441d563a8c7c2cf7e"},"schema_version":"1.0","source":{"id":"1805.04211","kind":"arxiv","version":1}},"canonical_sha256":"650d51d99d7a4eae41354af25fce9c1113d4390362b8b66359b43e1dcdcbdda0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"650d51d99d7a4eae41354af25fce9c1113d4390362b8b66359b43e1dcdcbdda0","first_computed_at":"2026-06-04T19:11:53.034073Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-04T19:11:53.034073Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IvSor2meb3xRfyPO+W+U/VF0UFElGq7Yaou2NR3wfxxiPIdemh/c5HAatjVXZ5yjfqew0YHkCRqFy2LBpRBnDw==","signature_status":"signed_v1","signed_at":"2026-06-04T19:11:53.034537Z","signed_message":"canonical_sha256_bytes"},"source_id":"1805.04211","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c6b4d2fb68385c58128b53f76246d06cc7cae3ccdb9d1cf5cd4eea8f5f839426","sha256:2775812130b5fd524901b62a147fcc46e12d8cb103fe37b9d7a1de01b3afa091"],"state_sha256":"9469f688f91d8728859b3cfe13ff77c43ec948599f23734a81e585a4a6db7b08"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tahp/33NLWarV03p+rj91qctHKFFGe6KxnSGrD2dgGEBzqIF1JtTDocfHUS2Ar1UO0Nc7SKWOAgUKjEIaAS9DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T20:16:35.197114Z","bundle_sha256":"b337f2a0bba20ce01a615eed18fd1d0d98a9f581b1dcadcf6d7ca3e208a3e36a"}}