{"as_of":"2026-08-17T22:45:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:78911da289a8a6630c171b307068d762e8181d9e85e15898ef881dccb8c593e0","coverage":[{"denominator":38,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":38,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-12T11:03:02.733518Z","state":"measured"},{"denominator":40,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":40,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-17T06:30:58.91139+00:00","state":"measured"},{"denominator":2,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":2,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-16T12:09:39.766704Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-11T10:25:07.553870Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"cited_work":{"arxiv_id":"2411.18770","doi":null,"metadata_source":"pith","pith_arxiv_id":"2411.18770","snapshot_observed_at":"2026-08-11T10:25:07.553870Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","venue":"physics.comp-ph","work_id":"53bd6f15-348f-4b82-b961-5b6dc1a5faa2","year":2024},"citing_paper":{"arxiv_id":"2412.16843","last_updated":"2024-12-22T03:40:38Z","snapshot_observed_at":"2026-08-11T10:13:05.841014Z","submitted_at":"2024-12-22T03:40:38Z","title":"A mass-conserving contact line treatment for second-order conservative phase field methods based on the generalized Navier boundary condition","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T10:25:07.386922Z"},"links":{"cited_paper":"/paper/2411.18770","citing_paper":"/paper/2412.16843"},"observation_digest":"sha256:5c51a6f5b64d8e62297bd3b395e1803f9d4fcfb57f3868c1b8a639789a98fcfd","observation_id":"f4836dad-32e1-429c-8f14-5c0ebf8115b9","resolution":{"observed_at":"2026-08-11T10:25:07.557883Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2411.18770","snapshot_observed_at":"2026-08-16T12:09:39.766704Z","title":"Collis, S","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2504.14063","last_updated":"2025-04-18T20:30:53Z","snapshot_observed_at":"2026-08-16T11:55:19.774417Z","submitted_at":"2025-04-18T20:30:53Z","title":"A thermodynamically consistent and robust four-equation model for multi-phase multi-component compressible flows using ENO-type schemes including interface regularization","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-16T12:09:39.766704Z"},"links":{"cited_paper":"/paper/2411.18770","citing_paper":"/paper/2504.14063"},"observation_digest":"sha256:ee0bacde9ab699b38163075702fed8584de81bf1ebbb53977f98c7605853e0c3","observation_id":"f935690a-8af1-4c20-8b52-8fa8d519c4be","resolution":{"observed_at":"2026-08-16T12:09:39.766704Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}}],"links":{"evidence":"/evidence","html":"/paper/2411.18770/citation-record","integrity":"/paper/2411.18770/integrity","json":"/paper/2411.18770/citation-record.json","paper":"/paper/2411.18770"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:03.812666Z","title":"Mirjalili, S","venue":null,"work_id":"4b12be94-843d-4251-9735-33cc6e61e0ab","year":2017},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.560880Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:e621d39596ad74bcd5fb75d132dff839aa5ce6767d17caece3d19a96dd4f1ea0","observation_id":"82801fd1-f3d1-4c4f-b857-9d82efc44b70","resolution":{"observed_at":"2026-08-12T11:03:03.817287Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.796760Z","title":"Roccon, F","venue":null,"work_id":"5d8898d2-9424-4abb-847d-cf8261d6704b","year":2023},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.566369Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:584fc6db2f0f11008b63d7410d666c99b56ffb26da082043bd707263b5346188","observation_id":"cbe13632-bb61-4054-b832-20c1a2bbc42b","resolution":{"observed_at":"2026-08-12T11:03:03.801520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.571190Z","title":null,"venue":null,"work_id":null,"year":1958},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.571190Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:4fef65b9f15e83f7ecf7e50b31ffa44be3c3e6ab42394405c569282aabe88c85","observation_id":"9c8aba17-b737-4957-8fce-0f77d10f36c3","resolution":{"observed_at":"2026-08-12T11:03:02.571190Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.576156Z","title":null,"venue":null,"work_id":null,"year":1979},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.576156Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:76c8e9b549d822f5804e79355389ffcbbd942791a6099476b694b0d732d409c8","observation_id":"57bdc93d-4215-483a-acef-67ca72039201","resolution":{"observed_at":"2026-08-12T11:03:02.576156Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.580955Z","title":null,"venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.580955Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:81d78d5d897afcf39ed6a375d064a516644e62edb65952fc410a25597584eac3","observation_id":"19e79b67-f070-4c82-b4ab-fbd2ef8ea007","resolution":{"observed_at":"2026-08-12T11:03:02.580955Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.586142Z","title":"Huang, G","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.586142Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:0c4e72ad3e33e5c263e55615f314158e1317a9401089c5793e44a98aada78c4c","observation_id":"eb3d2fb0-09fe-45a9-8d12-fe73a54c4b59","resolution":{"observed_at":"2026-08-12T11:03:02.586142Z","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":"2026-08-12T11:03:03.751713Z","title":null,"venue":null,"work_id":"471cbb60-170c-4687-9aa1-30e43d3ab7f8","year":2020},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.591814Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:e9d6dee1b2fc3eb44eca7bcb4ccfdd81b0f2d7664da4fee1973f7bd9357fe0fd","observation_id":"a446793d-fb69-4e68-b12e-e2f5fd253d7b","resolution":{"observed_at":"2026-08-12T11:03:03.756154Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.596547Z","title":"Mirjalili, A","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.596547Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:01fa4ea001be7443620147b85e7f40d1188663e434cf60bf43d1d36648e03b77","observation_id":"c72997b1-7936-4eb2-9b62-4965e6103f4f","resolution":{"observed_at":"2026-08-12T11:03:02.596547Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.601123Z","title":"Mirjalili, C","venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.601123Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:7c5c8e53626e85ed23417481fbc7898c0b373b3e20552e3a2abc5454c622dc16","observation_id":"bb63f3e3-1a5d-4239-89ee-a097320e28d1","resolution":{"observed_at":"2026-08-12T11:03:02.601123Z","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":"2020.10960","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:03.233379Z","title":null,"venue":null,"work_id":"837e63e0-0104-4b25-b892-b6b7ec471901","year":2020},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.605869Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:3effd79c272a46ef0f0e07c35e01750fe01887cc8da665dcd187709257cbe08a","observation_id":"a45b8076-9975-450d-b471-0c56e7cb3efc","resolution":{"observed_at":"2026-08-12T11:03:03.240820Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.735803Z","title":"Mirjalili, A","venue":null,"work_id":"a2617241-e4e5-41ed-8eb8-4f1313730ad8","year":2024},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.610473Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:c472e2f316389c02feb152dde4ebe180a53b6c53429f0240a93fbdd4b239fb78","observation_id":"93d947a1-af67-4070-ab4e-de2c99a30708","resolution":{"observed_at":"2026-08-12T11:03:03.741104Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.721124Z","title":"Collis, S","venue":null,"work_id":"efca4c0e-33c4-4b61-b053-f2e2b137ef13","year":2022},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.615357Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:9404db0a099e0f53a87e0b01516a2553df529bce15298112dbb1ae0330422146","observation_id":"667ee3f5-6d26-4ae8-852e-61cfd139b2f3","resolution":{"observed_at":"2026-08-12T11:03:03.725787Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.706644Z","title":null,"venue":null,"work_id":"28dc8c30-f82f-4119-a525-290515a04d54","year":2023},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.619890Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:4995d58149489c28b058f3100a856c406e843756d499d25a9826dfcc1d86abd4","observation_id":"f4498c1e-e1e4-4287-95ae-f0ecd4788957","resolution":{"observed_at":"2026-08-12T11:03:03.711233Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.691562Z","title":"Chiapolino, R","venue":null,"work_id":"6eb3cd06-905b-409d-aa50-03e316c52193","year":2017},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.624562Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:637665b0891b2c0bdaebd1560897e7531c65d8eff43beea149c8ed2182985de6","observation_id":"de264e20-7294-4e28-95df-0bb3a9757e6d","resolution":{"observed_at":"2026-08-12T11:03:03.696090Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.676820Z","title":"Joshi, R","venue":null,"work_id":"9ee7efbf-42b6-4c59-b3a2-dd1f389a1053","year":2018},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.629060Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:579283cd7d9ec7acc97c4a5cb494e525e1ad4f5a7a05300466703e165033acc9","observation_id":"62c4c741-f61f-49e9-b388-93d62e573e82","resolution":{"observed_at":"2026-08-12T11:03:03.681467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.660428Z","title":null,"venue":null,"work_id":"42f401d9-d481-47e0-80b3-11b2617dc8dd","year":2023},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.633565Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:ffc3b79c3a84832b37fd1dc9f70c7ade438ca8b42976f73c09cb5839d610bb90","observation_id":"cef76fcf-088d-454e-a92a-09167bb902ad","resolution":{"observed_at":"2026-08-12T11:03:03.666463Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.644769Z","title":"Hwang, S","venue":null,"work_id":"48684700-e3df-438b-ad8d-64e48d87931a","year":2024},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.638012Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:b343561009a1ea8b13afd619b2ba4377c00a53ecb5503290d924a624b97d5501","observation_id":"c63c3721-02d1-4619-ba21-7fdb78411b9b","resolution":{"observed_at":"2026-08-12T11:03:03.649634Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.629306Z","title":"Steinthorsson, M.-S","venue":null,"work_id":"c53c3837-99b5-4bd4-a6fb-66e88b99de15","year":1993},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.642648Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:8a5d07fffc0cf9bdd507844cd24f1acacece77006c1ff2caafc0b6340096bb70","observation_id":"4c8cef2c-8d16-410a-8066-9d967428d85f","resolution":{"observed_at":"2026-08-12T11:03:03.633955Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.613011Z","title":null,"venue":null,"work_id":"6a7d70be-2e73-4fc3-aaf4-c3be1e6fac3f","year":null},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.647085Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:78470158f3eb421fa94733408da7d4406431535f1ffe74c7908461e6a2f152a5","observation_id":"755559da-99c2-41bd-8b73-8a5e21eae2c2","resolution":{"observed_at":"2026-08-12T11:03:03.618035Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.597845Z","title":"Chiodi, O","venue":null,"work_id":"e57dfd5a-b3c0-4997-b41b-02b1c024f11f","year":2017},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.651761Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:57e190ad415fc890a6da2421e54b25c40f26f37d545bf960e6ccba025406ba48","observation_id":"3e4a936b-d838-4e33-9032-1b570f8c4170","resolution":{"observed_at":"2026-08-12T11:03:03.602550Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.656313Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.656313Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:7bbf8d08000cf8a95a7bcdf6d59d793082c8480a67554af4658e2ec11fb85ea3","observation_id":"f0ecde2d-89a2-46d7-98d2-02219df60ba1","resolution":{"observed_at":"2026-08-12T11:03:02.656313Z","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":"2026-08-12T11:03:03.582381Z","title":"Kataoka, Local instant formulation of two-phase flow, International Journal of Multiphase Flow 12 (5) (1986) 745–758","venue":null,"work_id":"a38d4dda-93e8-484e-bc8c-6d897657aa49","year":1986},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.660700Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:ebc56abbc855000f20e0164f2435f2bcd61c93332cd15df5654e1f878b469c5c","observation_id":"9dec15c6-da07-4faa-9f48-60ecba23bed4","resolution":{"observed_at":"2026-08-12T11:03:03.587167Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.566685Z","title":"Shyue, An efficient shock-capturing algorithm for compressible multicomponent problems, Journal of Computational Physics 142 (1) (1998) 208–242","venue":null,"work_id":"48fc2216-eb7e-4c0b-a995-4e594215e9ff","year":1998},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.665333Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:4696345108686b8b20e3a6bed3e62a91862f08a1ead01c1891c827695b3c999b","observation_id":"b428d8ee-80f0-4568-973d-bc640c087cf8","resolution":{"observed_at":"2026-08-12T11:03:03.571609Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.551604Z","title":null,"venue":null,"work_id":"ec971fe5-78d6-43ba-85bb-ed4a4164e188","year":null},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.669887Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:21df2e540bb0dee280751328c42d4f2eddd172a2a49d38c1302a93019d84e22c","observation_id":"8c025adc-9acf-415b-b1a5-957584d83e7a","resolution":{"observed_at":"2026-08-12T11:03:03.556390Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.674379Z","title":null,"venue":null,"work_id":null,"year":2021},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.674379Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:41b0f0604131b8488b25b45951565c51677f1f635724d4f954d5b0ce52282bab","observation_id":"9545c905-8f2f-49da-8cd0-71e4985254f1","resolution":{"observed_at":"2026-08-12T11:03:02.674379Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.679636Z","title":null,"venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.679636Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:76ccc2565a804b44c691632f29df08eca2cf6d5afb563841dc4ef7df89532615","observation_id":"9ecbe441-5f53-4c4b-bf02-d3ed75db4dfc","resolution":{"observed_at":"2026-08-12T11:03:02.679636Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.684238Z","title":"Gottlieb, C.-W","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.684238Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:feeae1f54fe772aab52866d216d00e550383b5f2adddc509f7eb693233a2c533","observation_id":"3ccf9e66-a0da-4c0b-8976-11d54798159c","resolution":{"observed_at":"2026-08-12T11:03:02.684238Z","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":"2026-08-12T11:03:03.526167Z","title":"Bauer, S","venue":null,"work_id":"892311bd-f1ca-4edd-82b3-4b422f659c57","year":2012},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.689021Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:c34da582ad3f975b07d31a3bbf4bf609241c675c516efd1a4e8317cb4837c516","observation_id":"c54fce1b-bb64-46bd-9daf-7b0c1421bb70","resolution":{"observed_at":"2026-08-12T11:03:03.530832Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.693509Z","title":null,"venue":null,"work_id":null,"year":2020},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.693509Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:2ffd544c57ab705768f52f7d991ea5f1b9b355cec18c23a43c7bf811f5267709","observation_id":"3de3fbc0-f03d-4a6d-b108-ae6f82ccbd43","resolution":{"observed_at":"2026-08-12T11:03:02.693509Z","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":"2026-08-12T11:03:03.510485Z","title":"Di Renzo, S","venue":null,"work_id":"913e79b9-4f72-499c-9b0e-52b57a5b5b90","year":2021},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.697889Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:016a85c2b4bcf190a4458a509f02357c9e863970370b2ae641e4f4ed9d5afc7c","observation_id":"2859c43e-fc0b-40aa-a3f9-3c81f758daf5","resolution":{"observed_at":"2026-08-12T11:03:03.515891Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.493722Z","title":"Di Renzo, Htr-1.3 solver: Predicting electrified combustion using the hypersonic task-based research solver, Computer Physics Communications 272 (2022) 108247","venue":null,"work_id":"e8d33964-d7b0-4b80-addb-c61edc8781de","year":2022},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.702173Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:08a15af2240127ed68d282f7935a70223ded09df520fa1da9b1be68c82c1cb64","observation_id":"04979847-59ec-4e4d-9769-6521463867b9","resolution":{"observed_at":"2026-08-12T11:03:03.499798Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.706468Z","title":null,"venue":null,"work_id":null,"year":1998},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.706468Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:7ee667d928456f0cb3877439f52e51dd37cd7c02fd517c77fa12aa4559aff57e","observation_id":"612a4cf3-992b-45b7-ac9d-59c5c431b16e","resolution":{"observed_at":"2026-08-12T11:03:02.706468Z","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":"10.1137/100784321","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-12T11:03:02.764053Z","title":"Fl ˚ atten, A","venue":null,"work_id":"d6555c46-8c80-43cf-bc92-b197b23585f0","year":2011},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.710645Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:4b9d593239ca36305c8f2a43355d7338a894c2dd30d8a2412592d374d1a2ec31","observation_id":"21a3b199-066b-49c6-b98e-7419dbb5f349","resolution":{"observed_at":"2026-08-12T11:03:02.770238Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.477392Z","title":"Lund, A hierarchy of relaxation models for two-phase flow, SIAM Journal on Applied Mathematics 72 (6) (2012) 1713–1741","venue":null,"work_id":"ad83cc09-eff3-4aaf-9a83-2903da88ca30","year":2012},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.715300Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:ac5c429673ae4ce878207697ec032e7245188751938fb163efa3bdfa3777e54c","observation_id":"a046eda3-31ff-448e-a9d3-db1b21946073","resolution":{"observed_at":"2026-08-12T11:03:03.482467Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.462237Z","title":"LeMartelot, R","venue":null,"work_id":"879d9cb8-d312-4268-865a-2496e87d9f20","year":2013},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.719991Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:b50183eda20474dcede305f6c66907eb99086c8cfc312080386b9043e64d9dfa","observation_id":"50eff711-37b5-4345-949f-a8687cd7f595","resolution":{"observed_at":"2026-08-12T11:03:03.466788Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.447092Z","title":"Le Martelot, R","venue":null,"work_id":"62d94daf-dc31-4e46-816e-70f371cdb56f","year":2014},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.724683Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:87ef674760a02927e86f63c92860c20664f202f1bf949206f42c6a602ac1320e","observation_id":"995d35ef-2af5-4847-80f9-2f3ed9aa098e","resolution":{"observed_at":"2026-08-12T11:03:03.451842Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.431670Z","title":"Saurel, P","venue":null,"work_id":"650c27e9-4703-4bc7-b6b1-cdb4722bbd80","year":2016},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.728965Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:8a4852c66f5af6c35750b8d766a0781e94ecb58019354712754d4fcc027dea7d","observation_id":"22dc7484-495e-4f77-8603-de2ee96e52dc","resolution":{"observed_at":"2026-08-12T11:03:03.436629Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+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":"2026-08-12T11:03:03.416273Z","title":null,"venue":null,"work_id":"4f9a63c3-dbdd-478f-9872-6a2a43b6cec8","year":2016},"citing_paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-12T11:03:02.733518Z"},"links":{"citing_paper":"/paper/2411.18770"},"observation_digest":"sha256:4fd72d5a58606cae4d37b4d153319f7e354309416ed943c1e8e7b3415d428692","observation_id":"fc3bcb45-36e9-438b-958e-9326e822605b","resolution":{"observed_at":"2026-08-12T11:03:03.421162Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2411.18770","last_updated":"2024-11-27T21:49:05Z","latest_version":1,"primary_category":"physics.comp-ph","snapshot_observed_at":"2026-08-17T11:45:20.614779Z","submitted_at":"2024-11-27T21:49:05Z","title":"Diffuse interface treatment in generalized curvilinear coordinates with grid-adapting interface thickness"},"reference_resolution":{"displayed":38,"state_counts":{"malformed_identifier":0,"metadata_mismatch":1,"parse_uncertain":0,"unresolved":18,"verified_exact":1,"verified_fuzzy":18},"total_outbound_references":38},"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":"2026-08-17T06:30:58.91139+00:00","source":"crossref"},{"observed_at":"2026-08-17T06:30:54.323127+00:00","source":"retraction_watch"}],"thesis":"As of 17 August 2026, this Paper Citation Record lists 38 of 38 outbound references and 2 inbound Pith citation observations for arXiv:2411.18770."}