{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:LDNCCR5OMIWGGRC76VN7AIJORZ","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":"37cddced04fc0944a2c1d2d9588d88b2b8aeb1ce1c15ff9e5cfea379c6a12389","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-29T18:17:27Z","title_canon_sha256":"7cb270582b57bce61457265233116bb547e842d2a0138bab949411f622ad06d0"},"schema_version":"1.0","source":{"id":"1808.09997","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1808.09997","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"arxiv_version","alias_value":"1808.09997v1","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1808.09997","created_at":"2026-05-18T00:06:50Z"},{"alias_kind":"pith_short_12","alias_value":"LDNCCR5OMIWG","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_16","alias_value":"LDNCCR5OMIWGGRC7","created_at":"2026-05-18T12:32:37Z"},{"alias_kind":"pith_short_8","alias_value":"LDNCCR5O","created_at":"2026-05-18T12:32:37Z"}],"graph_snapshots":[{"event_id":"sha256:f3598c23fa0bc1f51e721550fa0f5cd18e2a4fa45437efba6565dde3cd6be274","target":"graph","created_at":"2026-05-18T00:06:50Z","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":"An analytical and computational model for non-reactive solute transport in periodic heterogeneous media with arbitrary non-uniform flow and dispersion fields within the unit cell of length {\\epsilon} is described. The model lumps the effect of non-uniform flow and dispersion into an effective advection velocity Ve and an effective dispersion coefficient De. It is shown that both Ve and De are scale-dependent (dependent on the length scale of the microscopic heterogeneity, {\\epsilon}), dependent on the P\\'eclet number Pe, and on a dimensionless parameter {\\alpha} that represents the effects of ","authors_text":"Paul Meakin, Zhijie Xu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-29T18:17:27Z","title":"Upscaling of Solute Transport in Heterogeneous Media with Non-uniform Flow and Dispersion Fields"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1808.09997","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":"sha256:3ed84add531302df2750475521d3ae5e83fa9a619da0dcf8dca396c203e2502b","target":"record","created_at":"2026-05-18T00:06:50Z","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":"37cddced04fc0944a2c1d2d9588d88b2b8aeb1ce1c15ff9e5cfea379c6a12389","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.flu-dyn","submitted_at":"2018-08-29T18:17:27Z","title_canon_sha256":"7cb270582b57bce61457265233116bb547e842d2a0138bab949411f622ad06d0"},"schema_version":"1.0","source":{"id":"1808.09997","kind":"arxiv","version":1}},"canonical_sha256":"58da2147ae622c63445ff55bf0212e8e684bed78adaf81401c08ab1c2e7d50eb","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58da2147ae622c63445ff55bf0212e8e684bed78adaf81401c08ab1c2e7d50eb","first_computed_at":"2026-05-18T00:06:50.237530Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:06:50.237530Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mJFrHDtRnuhVDoylyjBcWDw4ILuT+9jk/SKkkQK7tfYdMBBrCHObxP094cWp6nXfM8JXw7XximGBB8bvumCUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:06:50.238213Z","signed_message":"canonical_sha256_bytes"},"source_id":"1808.09997","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3ed84add531302df2750475521d3ae5e83fa9a619da0dcf8dca396c203e2502b","sha256:f3598c23fa0bc1f51e721550fa0f5cd18e2a4fa45437efba6565dde3cd6be274"],"state_sha256":"84347f4180d0b478f284c6babd1af52196577ecd226a094741735077c3ee0454"}