{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:F4NUDQW2UP63KVNAQWYW7GXUZY","short_pith_number":"pith:F4NUDQW2","canonical_record":{"source":{"id":"1708.03224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-08-10T14:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"6c21424bb46695bef10fe83749dfd76e49e8c941f5bd7d6946db8cd42be3085e","abstract_canon_sha256":"4d1457e6573a15a4d3e953b0acaa0b551b3a978d4624839a361b2be76b14b027"},"schema_version":"1.0"},"canonical_sha256":"2f1b41c2daa3fdb555a085b16f9af4ce1e613fe4a2fa3b8e0c8a997f733424a0","source":{"kind":"arxiv","id":"1708.03224","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03224","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03224v1","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03224","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"F4NUDQW2UP63","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F4NUDQW2UP63KVNA","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F4NUDQW2","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:F4NUDQW2UP63KVNAQWYW7GXUZY","target":"record","payload":{"canonical_record":{"source":{"id":"1708.03224","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-08-10T14:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"6c21424bb46695bef10fe83749dfd76e49e8c941f5bd7d6946db8cd42be3085e","abstract_canon_sha256":"4d1457e6573a15a4d3e953b0acaa0b551b3a978d4624839a361b2be76b14b027"},"schema_version":"1.0"},"canonical_sha256":"2f1b41c2daa3fdb555a085b16f9af4ce1e613fe4a2fa3b8e0c8a997f733424a0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:21:25.845640Z","signature_b64":"7JFuwFEoKkWOcTIHYj+TdAKBgWCm+t/jdWtGvwXKKztFPgJG3UGZtY+FgNPzmBoulq7sDsYL0Gwr7Yp+rIGdBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2f1b41c2daa3fdb555a085b16f9af4ce1e613fe4a2fa3b8e0c8a997f733424a0","last_reissued_at":"2026-05-18T00:21:25.844687Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:21:25.844687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.03224","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":"2026-05-18T00:21:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eFTfoOpF2XCTPqnVsU7VVN3AalVnnHfYi0+hG/L13lZbScp3nytDysEC7wudEdwCAO/U8Y79NUfBuQ2zHsteBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:44:37.635927Z"},"content_sha256":"04cc3a2bd90770762d23706b89d8eca0bed294c8d51881318a9884fb1896b76b","schema_version":"1.0","event_id":"sha256:04cc3a2bd90770762d23706b89d8eca0bed294c8d51881318a9884fb1896b76b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:F4NUDQW2UP63KVNAQWYW7GXUZY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A linear domain decomposition method for partially saturated flow in porous media","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NA","authors_text":"Christian Rohde, David Seus, Florin Adrian Radu, Iuliu Sorin Pop, Koondanibha Mitra","submitted_at":"2017-08-10T14:05:57Z","abstract_excerpt":"The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded Lipschitz domain partitioned into two disjoint subdomains separated by a fixed interface $\\Gamma$. This leads to two problems defined on the subdomains which are coupled through conditions expressing flux and pressure continuity at $\\Gamma$. After an Euler implicit discretisation of the resulting nonlinear subproblems a linear iterative ($L$-type) domain decomposition scheme is proposed. The convergence of the schem"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03224","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":""},"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":"2026-05-18T00:21:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sn0bf1OzIYn3Nz1TRxhebCl7pchwPeu6djn/PJQ95Q8LKEaJHTAMHM1up+iFI9ASkTCq6Caw2E9b9gPVWu+kDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:44:37.636531Z"},"content_sha256":"5e1b7e1a394f086fa9be5633f6e00aa2b67251608902771fb17c440f8a0b5f73","schema_version":"1.0","event_id":"sha256:5e1b7e1a394f086fa9be5633f6e00aa2b67251608902771fb17c440f8a0b5f73"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F4NUDQW2UP63KVNAQWYW7GXUZY/bundle.json","state_url":"https://pith.science/pith/F4NUDQW2UP63KVNAQWYW7GXUZY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F4NUDQW2UP63KVNAQWYW7GXUZY/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":"2026-06-07T17:44:37Z","links":{"resolver":"https://pith.science/pith/F4NUDQW2UP63KVNAQWYW7GXUZY","bundle":"https://pith.science/pith/F4NUDQW2UP63KVNAQWYW7GXUZY/bundle.json","state":"https://pith.science/pith/F4NUDQW2UP63KVNAQWYW7GXUZY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F4NUDQW2UP63KVNAQWYW7GXUZY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F4NUDQW2UP63KVNAQWYW7GXUZY","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":"4d1457e6573a15a4d3e953b0acaa0b551b3a978d4624839a361b2be76b14b027","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-08-10T14:05:57Z","title_canon_sha256":"6c21424bb46695bef10fe83749dfd76e49e8c941f5bd7d6946db8cd42be3085e"},"schema_version":"1.0","source":{"id":"1708.03224","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.03224","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1708.03224v1","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.03224","created_at":"2026-05-18T00:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"F4NUDQW2UP63","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F4NUDQW2UP63KVNA","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F4NUDQW2","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:5e1b7e1a394f086fa9be5633f6e00aa2b67251608902771fb17c440f8a0b5f73","target":"graph","created_at":"2026-05-18T00:21:25Z","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"},"paper":{"abstract_excerpt":"The Richards equation is a nonlinear parabolic equation that is commonly used for modelling saturated/unsaturated flow in porous media. We assume that the medium occupies a bounded Lipschitz domain partitioned into two disjoint subdomains separated by a fixed interface $\\Gamma$. This leads to two problems defined on the subdomains which are coupled through conditions expressing flux and pressure continuity at $\\Gamma$. After an Euler implicit discretisation of the resulting nonlinear subproblems a linear iterative ($L$-type) domain decomposition scheme is proposed. The convergence of the schem","authors_text":"Christian Rohde, David Seus, Florin Adrian Radu, Iuliu Sorin Pop, Koondanibha Mitra","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-08-10T14:05:57Z","title":"A linear domain decomposition method for partially saturated flow in porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.03224","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":"sha256:04cc3a2bd90770762d23706b89d8eca0bed294c8d51881318a9884fb1896b76b","target":"record","created_at":"2026-05-18T00:21:25Z","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":"4d1457e6573a15a4d3e953b0acaa0b551b3a978d4624839a361b2be76b14b027","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-08-10T14:05:57Z","title_canon_sha256":"6c21424bb46695bef10fe83749dfd76e49e8c941f5bd7d6946db8cd42be3085e"},"schema_version":"1.0","source":{"id":"1708.03224","kind":"arxiv","version":1}},"canonical_sha256":"2f1b41c2daa3fdb555a085b16f9af4ce1e613fe4a2fa3b8e0c8a997f733424a0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2f1b41c2daa3fdb555a085b16f9af4ce1e613fe4a2fa3b8e0c8a997f733424a0","first_computed_at":"2026-05-18T00:21:25.844687Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:21:25.844687Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7JFuwFEoKkWOcTIHYj+TdAKBgWCm+t/jdWtGvwXKKztFPgJG3UGZtY+FgNPzmBoulq7sDsYL0Gwr7Yp+rIGdBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:21:25.845640Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.03224","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:04cc3a2bd90770762d23706b89d8eca0bed294c8d51881318a9884fb1896b76b","sha256:5e1b7e1a394f086fa9be5633f6e00aa2b67251608902771fb17c440f8a0b5f73"],"state_sha256":"3833237cd582df70ad3ee35f26ff874b12a236862e209302e46fa31ba9ff849d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HzVR8yUu91mYWnRty7TEIbVFB9AWQISclRV5M8lNYOZyxQ8/8oE/QXOI4OkzoUgKT63hrgBPeGxEUQABD9RvDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:44:37.640013Z","bundle_sha256":"849bec32692aaa1dc7e4731e2bf5f94161eee296459013c041d0ab15619e782b"}}