{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:AYV6LZHCT5SCU25PUSZUW3MSQX","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":"0d4b79d08d089b8e68905b980c91f05791b198d297519644ac4a141add035e77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-08T04:55:21Z","title_canon_sha256":"b18a8efdda88b2f1f7539cb9245e5e531607834c93ed38e974de3f8f2b1a80b9"},"schema_version":"1.0","source":{"id":"1706.02452","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1706.02452","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"arxiv_version","alias_value":"1706.02452v4","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1706.02452","created_at":"2026-05-18T00:07:33Z"},{"alias_kind":"pith_short_12","alias_value":"AYV6LZHCT5SC","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"AYV6LZHCT5SCU25P","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"AYV6LZHC","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:3b46125d7a7323fdb74e15ef0da74b8a8db3c5cb0c4525dc51864b02f8ac8bab","target":"graph","created_at":"2026-05-18T00:07:33Z","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":"We design a numerical approximation of a system of partial differential equations modelling the miscible displacement of a fluid by another in a porous medium. The advective part of the system is discretised using a characteristic method, and the diffusive parts by a finite volume method. The scheme is applicable on generic (possibly non-conforming) meshes as encountered in applications. The main features of our work are the reconstruction of a Darcy velocity, from the discrete pressure fluxes, that enjoys a local consistency property, an analysis of implementation issues faced when tracking, ","authors_text":"Hanz Martin Cheng, Jerome Droniou","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-08T04:55:21Z","title":"An HMM--ELLAM scheme on generic polygonal meshes for miscible incompressible flows in porous media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.02452","kind":"arxiv","version":4},"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:dd5d7f7a9e4ebf3e91b31524c883e9401956b53f6e37e08460007f36bb919e97","target":"record","created_at":"2026-05-18T00:07:33Z","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":"0d4b79d08d089b8e68905b980c91f05791b198d297519644ac4a141add035e77","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2017-06-08T04:55:21Z","title_canon_sha256":"b18a8efdda88b2f1f7539cb9245e5e531607834c93ed38e974de3f8f2b1a80b9"},"schema_version":"1.0","source":{"id":"1706.02452","kind":"arxiv","version":4}},"canonical_sha256":"062be5e4e29f642a6bafa4b34b6d9285ded4f0bc94faebdbc2824821383cd477","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"062be5e4e29f642a6bafa4b34b6d9285ded4f0bc94faebdbc2824821383cd477","first_computed_at":"2026-05-18T00:07:33.160171Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:07:33.160171Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lCFMObPzGwo612SdHVbCWtQwvMMIiM9MQ8tmYzZ0utJ6+2CAnDKi1K+sZ7qCgkUlpDG9rbww7rg3F4bTcNsXDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:07:33.160862Z","signed_message":"canonical_sha256_bytes"},"source_id":"1706.02452","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dd5d7f7a9e4ebf3e91b31524c883e9401956b53f6e37e08460007f36bb919e97","sha256:3b46125d7a7323fdb74e15ef0da74b8a8db3c5cb0c4525dc51864b02f8ac8bab"],"state_sha256":"67f07c612874990fbeee685ffa542b3c4fe584789e2b5128a495569552abf825"}