{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PK4KHO3BNQQU7TJAJXKPCI5JHN","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":"2cb90c193a696839c25d983c4b48c0956f2e4eb1f504f1b362c1ec805dc362a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-08-18T06:15:15Z","title_canon_sha256":"cae1b4ea79114c0eae6c92272509d286b4789fcce80c586f963048bd37f3893f"},"schema_version":"1.0","source":{"id":"2208.08653","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.08653","created_at":"2026-07-05T06:54:12Z"},{"alias_kind":"arxiv_version","alias_value":"2208.08653v2","created_at":"2026-07-05T06:54:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.08653","created_at":"2026-07-05T06:54:12Z"},{"alias_kind":"pith_short_12","alias_value":"PK4KHO3BNQQU","created_at":"2026-07-05T06:54:12Z"},{"alias_kind":"pith_short_16","alias_value":"PK4KHO3BNQQU7TJA","created_at":"2026-07-05T06:54:12Z"},{"alias_kind":"pith_short_8","alias_value":"PK4KHO3B","created_at":"2026-07-05T06:54:12Z"}],"graph_snapshots":[{"event_id":"sha256:407422c9ab7d2fa6632822b19810da45e90fdbc8b3153baf871fce2c3d6d7954","target":"graph","created_at":"2026-07-05T06:54:12Z","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/2208.08653/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"A system of diffusion-reaction equations coupled with a dissolution-precipitation model is discussed. We start by introducing a microscale model together with its homogenized version. In the present paper, we first derive the corrector result to justify the obtained theoretical results. Furthermore, we perform the numerical computations to compare the outcome of the effective model with the original heterogeneous microscale model.","authors_text":"Hari Shankar Mahato, Nibedita Ghosh","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-08-18T06:15:15Z","title":"Corrector estimates and numerical simulations of a system of diffusion-reaction-dissolution-precipitation model in a porous medium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.08653","kind":"arxiv","version":2},"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":"sha256:54940711e47f3c24668cc27ea17585df0073e9c8b6a7b669733a3bbb328beba6","target":"record","created_at":"2026-07-05T06:54:12Z","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":"2cb90c193a696839c25d983c4b48c0956f2e4eb1f504f1b362c1ec805dc362a9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2022-08-18T06:15:15Z","title_canon_sha256":"cae1b4ea79114c0eae6c92272509d286b4789fcce80c586f963048bd37f3893f"},"schema_version":"1.0","source":{"id":"2208.08653","kind":"arxiv","version":2}},"canonical_sha256":"7ab8a3bb616c214fcd204dd4f123a93b61f923cd0606d70533086338fe20dbe2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7ab8a3bb616c214fcd204dd4f123a93b61f923cd0606d70533086338fe20dbe2","first_computed_at":"2026-07-05T06:54:12.851724Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:54:12.851724Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Q2dlBdBUpXrjtBZ1zjXDAQq+cvqVgTTVIgYQ/b8bl8XI0gBRg02fM2plSlUzr/XFjKeUwyLl8po1gpoI/M+yCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:54:12.852199Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.08653","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:54940711e47f3c24668cc27ea17585df0073e9c8b6a7b669733a3bbb328beba6","sha256:407422c9ab7d2fa6632822b19810da45e90fdbc8b3153baf871fce2c3d6d7954"],"state_sha256":"4ef3540c5d3c766a85b00a06c4af16ee14f12900987b4792b0693c032e934a24"}