{"as_of":"2026-08-15T07:49:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:87b744ed58950fc06cd3a6cf6c48b3c52ba4899efbd9fc1039b29c6d5dcdf6b9","coverage":[{"denominator":36,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":36,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T14:50:51.144556Z","state":"measured"},{"denominator":36,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":36,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-15T06:32:42.880941+00:00","state":"measured"},{"denominator":0,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":0,"source":"paper_references, paper_reference_links","source_observed_at":null,"state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"cited_works","source_observed_at":null,"state":"measured"}],"external_citation_measurements":[],"inbound":[],"links":{"evidence":"/evidence","html":"/paper/2505.17535/citation-record","integrity":"/paper/2505.17535/integrity","json":"/paper/2505.17535/citation-record.json","paper":"/paper/2505.17535"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:57.376014Z","title":null,"venue":null,"work_id":"3148fe28-fb4e-47a8-8871-57f154215bbe","year":2000},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:47.732217Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:125d76bd5d17e947559dd394316e9c9ad3222453e15072448a5d09e7c908ef4b","observation_id":"0e9eaab1-d29d-42a0-ab4a-180e04d18e44","resolution":{"observed_at":"2026-08-07T14:50:57.508672Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:57.074315Z","title":"a dle, A. (2008). A Review of Transparent and Artificial Boundary Conditions Techniques for Linear and Nonlinear Schr \\","venue":null,"work_id":"65d2e2fe-ffb8-4cb5-b574-710d42fba17c","year":2008},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:47.828579Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:ef45ee2f87e54ae8e9b1ede4ef13777aa28e2fb03f1e681a15443d434895a1c6","observation_id":"2fe7f7b5-afe6-4033-9f5f-5c0bcb4a73c8","resolution":{"observed_at":"2026-08-07T14:50:57.230837Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:56.836951Z","title":null,"venue":null,"work_id":"38be9077-796e-4c7f-8ac9-da7fa670adc5","year":2024},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:47.940246Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:dffc730fe9e3f5532c7d7774ad2346e6849429aa907b6379cdcbcef35bd20dd5","observation_id":"a705c34a-8bd5-4a25-83eb-b900f4eb19a8","resolution":{"observed_at":"2026-08-07T14:50:56.907179Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2501.07934","last_updated":"2025-04-30T08:06:39Z","snapshot_observed_at":"2026-08-14T20:42:23.344308Z","submitted_at":"2025-01-14T08:40:20Z","title":"Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law","version":2},"cited_work":{"arxiv_id":"2501.07934","doi":null,"metadata_source":"pith","pith_arxiv_id":"2501.07934","snapshot_observed_at":"2026-08-07T14:50:51.285556Z","title":"Monotonicity and convergence of two-relaxation-times lattice Boltzmann schemes for a non-linear conservation law","venue":"math.NA","work_id":"0e687a2c-2f94-48b4-9882-5700f44cb2ba","year":2025},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.020842Z"},"links":{"cited_paper":"/paper/2501.07934","citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:5ca637f7b768c372dc3aa02000f98c9ccbe9f2d76fbdc6fd409dcf5ff5c56c6f","observation_id":"70324262-2401-4fa5-a4a9-f3ba30fe5e64","resolution":{"observed_at":"2026-08-07T14:50:51.355929Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:56.647057Z","title":"and Mili s i \\'c , V","venue":null,"work_id":"e754a342-e64b-461f-9026-0a6b62810f88","year":2004},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.092489Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:2c7770f83cd7e2746b78427ab0d52d2a06588d9c65a1c988701d5b0a7ec71910","observation_id":"fce7b701-2229-43ab-8df7-438a55a74247","resolution":{"observed_at":"2026-08-07T14:50:56.725764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:56.533026Z","title":null,"venue":null,"work_id":"01f7b87e-99d6-48bf-93ef-057226282d86","year":1979},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.210124Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:25e468fe26fc581ad6ffc803e468e59fcd0174ab97b461a1567e5780f69a7a1c","observation_id":"18c00685-2bca-4f32-a5f5-81d285f94f55","resolution":{"observed_at":"2026-08-07T14:50:56.586552Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:56.404340Z","title":null,"venue":null,"work_id":"da801013-4c0a-4e32-ba03-787a36347d56","year":2024},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.325030Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:70893698d03b0d6f0199dbf96c59aadd0c2f703df9aacb5b85ec1d4f89a474d1","observation_id":"1622f22c-c1d9-47d0-ba6a-827a6a963c91","resolution":{"observed_at":"2026-08-07T14:50:56.467089Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:56.249826Z","title":null,"venue":null,"work_id":"883fe912-1566-442d-90e6-3ea11c373cea","year":2024},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.438251Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:3bd316269e7df891fb5f4cb6ae034dff284ae3567f5b42172ec3326bdd8f7367","observation_id":"2f81d80f-adf1-412d-bc51-6aa2e35aa0c2","resolution":{"observed_at":"2026-08-07T14:50:56.328777Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:56.059357Z","title":null,"venue":null,"work_id":"aeec6d25-8ead-4e06-bac2-89ee21c4ef4a","year":2022},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.520082Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:3d0dc6d7a4a7b7ed792fb00db0c3c02584232f53ea76abb6c8e0bb0d14110b1e","observation_id":"30bc9519-b072-4a5b-9703-8fc840bb921e","resolution":{"observed_at":"2026-08-07T14:50:56.144146Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:55.887426Z","title":null,"venue":null,"work_id":"6f4232ec-6afb-497d-83c0-16c34270c43f","year":2025},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.629528Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:0bbf5980e4e4ad0e1f408d9b2f79d891577d59f949c651a3be3228d176aab6de","observation_id":"519a4ae9-6a26-4e32-bbd7-1cef2fc2700d","resolution":{"observed_at":"2026-08-07T14:50:55.979167Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:55.741078Z","title":"and Serre, D","venue":null,"work_id":"13a443bd-011c-49d1-aa62-a737355a8603","year":1987},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.693927Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:130634106b13a60828756783df6c1a85bcca0daeee22a789a7c4b6e1bd0e0a59","observation_id":"c33aefbf-c1e7-45fe-a60c-a69382c346fd","resolution":{"observed_at":"2026-08-07T14:50:55.808928Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:55.620759Z","title":"and Coulombel, J.-F","venue":null,"work_id":"5059aae6-b24c-4b97-9f98-a04ac01bd09b","year":2017},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.767085Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:50e254c204062600785f825dd68d49b91ea5a059638c9a5ab02ddce805a13dd9","observation_id":"de071d5a-5e32-4863-9b97-e022c7410445","resolution":{"observed_at":"2026-08-07T14:50:55.672567Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:55.456476Z","title":null,"venue":null,"work_id":"cc6d8a90-eade-4a01-931d-a052c52541e6","year":2006},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.872804Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:8f7b9a71b916a1e4e9642d30e541fba6466323bd01aa5b1a9ea31bfe151377b7","observation_id":"9953babd-833b-4958-b50c-a157209419f6","resolution":{"observed_at":"2026-08-07T14:50:55.546190Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:55.307947Z","title":null,"venue":null,"work_id":"a1206c06-3d0a-40ba-b748-eb56555f9719","year":2010},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:48.975451Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:dc70efd2e95cdc2dedacfd4656241092ef556782899bdf5ecb2bd468e14a8498","observation_id":"0cc9d36d-910d-4eed-b35a-8db00aa5e7d6","resolution":{"observed_at":"2026-08-07T14:50:55.376701Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:55.167316Z","title":null,"venue":null,"work_id":"f7abff7f-7378-4a81-a407-36330b26e4a5","year":2013},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.139920Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:17e1b676c6d7c36e5fbf63b6318af2de002ae139468db17d73f5da181944b56f","observation_id":"507dc5bc-7531-4d77-ab7f-c5919deee817","resolution":{"observed_at":"2026-08-07T14:50:55.229835Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:54.944968Z","title":"and Gloria, A","venue":null,"work_id":"d8968b02-be44-4a5a-bbae-563104d5be71","year":2011},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.326458Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:d87f4453a375ce9f346b0c1c688166a195d54be8909b421c1a1b08c6e3427398","observation_id":"e63d95e2-e54a-46ae-93f1-730f66f1212e","resolution":{"observed_at":"2026-08-07T14:50:55.042733Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:54.772615Z","title":null,"venue":null,"work_id":"5b795cd8-e36b-46b3-bb73-92fb443847ec","year":1980},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.477548Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:7636e77afd3c219a7890dcf06b5233840b1dc822532aaf399d569a7568f0cc80","observation_id":"d56d19a0-b1b8-45de-9d72-2506560162ca","resolution":{"observed_at":"2026-08-07T14:50:54.848905Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:54.570461Z","title":"and Petronilho, J","venue":null,"work_id":"34c0898e-6fc8-4a6b-944e-5d8255293142","year":2001},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.627814Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:5a4750de82e327103d12c8d6ad24909df02ddf821fb56243a8399e93d0d7b2d9","observation_id":"024dc10d-6bb4-44b4-bc67-45c21f9f8884","resolution":{"observed_at":"2026-08-07T14:50:54.659710Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:54.354547Z","title":null,"venue":null,"work_id":"053898db-f04a-47df-a17f-0aaf8ad1606d","year":2014},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.721613Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:af26f898e36aa8b5b607b01bf544f8371deaf159b2d4a397115974ecd73efcaa","observation_id":"bd0ff960-b969-4ff8-b055-7deb7f844bc7","resolution":{"observed_at":"2026-08-07T14:50:54.448159Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:54.155766Z","title":"and Le Floch, P","venue":null,"work_id":"cd675920-1849-442a-ae64-436c0d37c3ff","year":1988},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.796301Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:403d66e8d34ae2820e05661f3122053ba50dfd0276764ec76e41b43af7d2cc9d","observation_id":"3898672e-a055-409a-a035-6a4efeae4ff9","resolution":{"observed_at":"2026-08-07T14:50:54.248679Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:54.006343Z","title":null,"venue":null,"work_id":"9c97ba00-6838-4589-a4d1-de52fc200bd4","year":2005},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":21,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.890986Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:a66d8e4c5e2c772b14b446b377b51958e488675664a37e89db38a435fb4518d9","observation_id":"e1a38d94-ceb9-4560-ae0c-edfbf59c9d3b","resolution":{"observed_at":"2026-08-07T14:50:54.084377Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:53.919135Z","title":"and Tadmor, E","venue":null,"work_id":"8a1d3397-6b9b-42cf-8d43-b494bb1cd4c3","year":1981},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":22,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:49.957241Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:e9410990f1e168d0961a3aead633c9b6d5011bde8ade5a9dba452f939be0b147","observation_id":"6160fe13-5bb7-4ae6-9285-fe8939ccc8d1","resolution":{"observed_at":"2026-08-07T14:50:53.949469Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:53.714175Z","title":null,"venue":null,"work_id":"a9939193-053a-4001-a1ed-37ebfda8498e","year":2014},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":23,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.011033Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:fe126533a18275f82cbd48f45c9dea9e824b0b5a50334a29fbe7361fef247acc","observation_id":"6c5ecd7a-168c-4acc-9953-1121719978dc","resolution":{"observed_at":"2026-08-07T14:50:53.814638Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:53.503290Z","title":null,"venue":null,"work_id":"07a882d2-48d4-44a8-a21d-dc630e54eb71","year":2008},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":24,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.112601Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:145ebc30c7a1266b6ec8df91f61dce2e3c60e773b98bd81a32e761c0f2cafcb0","observation_id":"d9f16946-0e89-4848-84c4-28c7468c52d6","resolution":{"observed_at":"2026-08-07T14:50:53.592748Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:53.322461Z","title":null,"venue":null,"work_id":"2dcd3776-aec8-4ba4-8698-fb99836bd035","year":1995},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":25,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.196775Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:a6e11d5a39a523df178dde81513247c2db2d187a9f85fccbd357ce8d6335e941","observation_id":"524c8298-0836-4c8a-a8a0-a94854af73d7","resolution":{"observed_at":"2026-08-07T14:50:53.426823Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:53.150958Z","title":"and Yang, Z","venue":null,"work_id":"ddcb2eac-ae2b-49ca-a3f9-aeb1bc0487f2","year":2008},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":26,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.294039Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:a7fc2aedf0429ed6166b2dbae3c6a99e10bd33024e6391c3f3f10b421bd7f52a","observation_id":"99ca6e6e-e0c0-49f5-8334-d51cbcfebdd8","resolution":{"observed_at":"2026-08-07T14:50:53.239300Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:52.972949Z","title":"and Yang, Z","venue":null,"work_id":"fdd46af3-da24-401b-8c99-d241ca802801","year":2009},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":27,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.375613Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:30d6aa89f81385a55fd0688b17d76633a8b4647f4b1c8c7d76e62e10e8fd8a7e","observation_id":"fe20740a-e1f7-47cf-94f0-944b655dab37","resolution":{"observed_at":"2026-08-07T14:50:53.060856Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:52.827447Z","title":null,"venue":null,"work_id":"d50d6c28-8de8-46bb-9518-cef8204ddc7f","year":2016},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":28,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.445857Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:8bb89ca1097e6f4cf22d6c82fc30b4882cc118feca2aac05a43dd4bf5767dca8","observation_id":"c89691ac-14f9-4ab1-adcb-dfe931e4157c","resolution":{"observed_at":"2026-08-07T14:50:52.885245Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:52.638978Z","title":"and Tadmor, E","venue":null,"work_id":"5f0b6c2d-c004-428e-b145-a2b522cb85e2","year":2000},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":29,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.525041Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:1f9ef89eb36eb79b40d5b52fbbb40401ac611f36eb3623817f2213c52787cc8b","observation_id":"821d578b-786e-4877-b549-e5bcd99705e9","resolution":{"observed_at":"2026-08-07T14:50:52.740398Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:52.492815Z","title":"and Succi, S","venue":null,"work_id":"a615cc2d-f287-4201-9770-6831bdea8b93","year":2009},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":30,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.621984Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:ecf2e4918f905af894a58fef34dee18af332d8f502b4afd19dcd32f7d7dbf35e","observation_id":"f834b381-3264-4650-b430-9e7c776f6b1a","resolution":{"observed_at":"2026-08-07T14:50:52.556769Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:52.290956Z","title":null,"venue":null,"work_id":"d247ceb0-86ed-4a1f-979f-ecbb5ea6b37e","year":1996},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":31,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.722594Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:419043719aa8f45b5290f2795ffcdf6661db400410456219b4c66cc679918a0e","observation_id":"7e639575-9f9f-4dc4-87d5-b536ec647dd6","resolution":{"observed_at":"2026-08-07T14:50:52.392044Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:52.098249Z","title":null,"venue":null,"work_id":"04ecb99a-df0e-475d-bad5-190c7549855b","year":1999},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":32,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.843443Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:23bcac2a6567d4f46910df6ff9e9a92bfe7a7d1471f7710d6e6f593e77c0356e","observation_id":"9814056f-d427-44cc-9fd2-d7967c0202a0","resolution":{"observed_at":"2026-08-07T14:50:52.188164Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:51.924318Z","title":null,"venue":null,"work_id":"e6e0ef9a-b3be-42a1-8aad-ea016bfa19b4","year":2009},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":33,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.916931Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:cf86b1519d9e60f77444508b7318859eeaa0b65dd2dd6ac495ded24d7b9abfde","observation_id":"808a1720-a0e0-40cd-b9ed-0da9d15220ab","resolution":{"observed_at":"2026-08-07T14:50:52.009168Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:51.739097Z","title":null,"venue":null,"work_id":"20ded431-40c7-4586-9e66-d68f16232d07","year":2002},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":34,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:50.986256Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:1915f9eec98b3829e34e41997ba13d59c26e49748a9d694219fbdc006e4c17c9","observation_id":"357fda98-3121-4500-a140-b9b9ee6a9d1a","resolution":{"observed_at":"2026-08-07T14:50:51.824194Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.15001","last_updated":"2024-11-22T15:19:10Z","snapshot_observed_at":"2026-08-14T20:40:55.868642Z","submitted_at":"2024-11-22T15:19:10Z","title":"A positive- and bound-preserving vectorial lattice Boltzmann method in two dimensions","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.15001","snapshot_observed_at":"2026-08-07T14:50:51.070050Z","title":null,"venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":35,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:51.070050Z"},"links":{"cited_paper":"/paper/2411.15001","citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:e9e89833e8fd02d734cf83785a968e571e0dab82348620b0d75c703e1edcae61","observation_id":"044d621a-16e6-464a-8124-cfe103de8de8","resolution":{"observed_at":"2026-08-07T14:50:51.070050Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T14:50:51.562644Z","title":"and Colella, P","venue":null,"work_id":"dd4ca157-ea06-494a-9f54-fb98f1824f10","year":1984},"citing_paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes","version":1},"reference_index":36,"source":"arxiv_source","source_observed_at":"2026-08-07T14:50:51.144556Z"},"links":{"citing_paper":"/paper/2505.17535"},"observation_digest":"sha256:b3519681b0bf030a9ae44b53ee7eac780ed13153f2599fad49a11b8f2ae61d2b","observation_id":"dba6cd56-f6c4-485e-9b05-2d29eb9fda25","resolution":{"observed_at":"2026-08-07T14:50:51.643524Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.17535","last_updated":"2025-05-23T06:41:45Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-14T20:41:23.615983Z","submitted_at":"2025-05-23T06:41:45Z","title":"Equilibrium boundary conditions for vectorial multi-dimensional lattice Boltzmann schemes"},"reference_resolution":{"displayed":36,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":22,"verified_exact":1,"verified_fuzzy":13},"total_outbound_references":36},"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":"2026-08-15T06:32:42.880941+00:00","source":"crossref"},{"observed_at":"2026-08-15T06:32:39.529945+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2505.17535."}