{"as_of":"2026-08-14T02:22:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1876bc74637f57ecd1410b7c52e58e84e419c9e31524750cdf6eb984a7647c63","coverage":[{"denominator":0,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":3,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":3,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+00:00","state":"measured"},{"denominator":3,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":3,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T23:01:24.385718Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-06-29T18:23:51.178984Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2406.17933","last_updated":"2024-12-31T00:21:40Z","snapshot_observed_at":"2026-08-12T23:34:57.116636Z","submitted_at":"2024-06-25T20:48:16Z","title":"Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.17933","snapshot_observed_at":"2026-08-10T23:01:24.385718Z","title":"Modeling and simulations of high-density two-phase flows using projection-based cahn-hilliard navier-stokes equations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2501.01453","last_updated":"2025-03-24T23:26:27Z","snapshot_observed_at":"2026-08-10T22:54:39.789540Z","submitted_at":"2024-12-31T00:23:15Z","title":"Geometry Matters: Benchmarking Scientific ML Approaches for Flow Prediction around Complex Geometries","version":2},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T23:01:24.385718Z"},"links":{"cited_paper":"/paper/2406.17933","citing_paper":"/paper/2501.01453"},"observation_digest":"sha256:53617ae6032c85b196a552f75946075077707c27c55394358b4a33b65a62ca67","observation_id":"5e55cbe9-bee2-4489-b066-07bc827c6d43","resolution":{"observed_at":"2026-08-10T23:01:24.385718Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.17933","last_updated":"2024-12-31T00:21:40Z","snapshot_observed_at":"2026-08-12T23:34:57.116636Z","submitted_at":"2024-06-25T20:48:16Z","title":"Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations","version":6},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2406.17933","snapshot_observed_at":"2026-08-08T13:59:42.423012Z","title":"Modeling and simulations of high-density two-phase flows using projection-based cahn-hilliard navier-stokes equations","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2502.07080","last_updated":"2025-04-28T21:16:57Z","snapshot_observed_at":"2026-08-13T22:36:53.284026Z","submitted_at":"2025-02-10T22:12:45Z","title":"MPFBench: A Large Scale Dataset for SciML of Multi-Phase-Flows: Droplet and Bubble Dynamics","version":2},"reference_index":42,"source":"arxiv_source","source_observed_at":"2026-08-08T13:59:42.423012Z"},"links":{"cited_paper":"/paper/2406.17933","citing_paper":"/paper/2502.07080"},"observation_digest":"sha256:791181f45a7d6d3102bae9b27889797e086cfe8b8992b6235d391f05f0a3f2b8","observation_id":"ee401dc0-6bd0-4fc3-90f6-123e1e0ab9e2","resolution":{"observed_at":"2026-08-08T13:59:42.423012Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2406.17933","last_updated":"2024-12-31T00:21:40Z","snapshot_observed_at":"2026-08-12T23:34:57.116636Z","submitted_at":"2024-06-25T20:48:16Z","title":"Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations","version":6},"cited_work":{"arxiv_id":"2406.17933","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2406.17933","snapshot_observed_at":"2026-06-29T18:23:51.178984Z","title":"Rabeh, M","venue":null,"work_id":"164f7f5e-e84c-4777-a7df-35adab56f2d0","year":2024},"citing_paper":{"arxiv_id":"2605.30659","last_updated":"2026-05-28T23:38:38Z","snapshot_observed_at":"2026-08-05T22:28:47.218041Z","submitted_at":"2026-05-28T23:38:38Z","title":"Neural-Network-based Viscosity Closure for Non-Newtonian Multiphase Flows","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-06-29T05:08:29.300278Z"},"links":{"cited_paper":"/paper/2406.17933","citing_paper":"/paper/2605.30659"},"observation_digest":"sha256:83beeb038e146583bf1bad672731f0b96ae2699d6638b6ac6f3f6f1d6f15d858","observation_id":"7236caed-3a0e-4221-bde8-99108c27394b","resolution":{"observed_at":"2026-06-29T18:23:51.180412Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2406.17933/citation-record","integrity":"/paper/2406.17933/integrity","json":"/paper/2406.17933/citation-record.json","paper":"/paper/2406.17933"},"outbound":[],"paper":{"arxiv_id":"2406.17933","last_updated":"2024-12-31T00:21:40Z","latest_version":6,"primary_category":"physics.flu-dyn","snapshot_observed_at":"2026-08-12T23:34:57.116636Z","submitted_at":"2024-06-25T20:48:16Z","title":"Modeling and simulations of high-density two-phase flows using projection-based Cahn-Hilliard Navier-Stokes equations"},"reference_resolution":{"displayed":0,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":0,"verified_exact":0,"verified_fuzzy":0},"total_outbound_references":0},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 3 inbound Pith citation observations for arXiv:2406.17933."}