{"as_of":"2026-08-14T02:59:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:e7d8903107ef57451a904fed83397f0869bde2298599aacd22b74c5c05e1626f","coverage":[{"denominator":46,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":46,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-09T23:21:38.283044Z","state":"measured"},{"denominator":46,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":46,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-13T06:32:02.005865+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/2501.18518/citation-record","integrity":"/paper/2501.18518/integrity","json":"/paper/2501.18518/citation-record.json","paper":"/paper/2501.18518"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.397388Z","title":null,"venue":null,"work_id":"42532139-8f18-4811-b39b-86b8a96089c4","year":2007},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.826793Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:4d89fbbf5cf7d59cf7a91d3310adae02803416ef44b8efd9cf7fc9bde9db9418","observation_id":"6157aa8b-6542-4a6b-ad78-f1c126d8beb8","resolution":{"observed_at":"2026-08-09T23:21:39.434749Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.315334Z","title":"Anderson.Modern Compressible Flow: With Historical Perspective","venue":null,"work_id":"cde1cb60-5d4b-4198-9232-1cda6eca5614","year":2003},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.870172Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:a6dfb97cbcb17014bc485f0fd2886de3477ecd032cec970cca34b8d2f8a84a08","observation_id":"4ce5500d-2ee7-4495-8f63-8f721b221f3a","resolution":{"observed_at":"2026-08-09T23:21:39.347288Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.231022Z","title":null,"venue":null,"work_id":"e4f422a0-161f-4c33-8432-36516c541113","year":1989},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.890939Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:3734a2afd64efb3e4f5da4db2be7f45b16822322452d16aba5305224af54fb24","observation_id":"70cdbfd1-974f-402d-8e21-b17693e36f55","resolution":{"observed_at":"2026-08-09T23:21:39.276277Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.165314Z","title":null,"venue":null,"work_id":"3764e671-d5e8-4e6b-ae40-55ccb7566b9b","year":1986},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.926686Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:c50ed42ad3547e687b49f280a8288253de74175c8ccc86b4049ddc111b1fcd4a","observation_id":"37352af1-3b8a-482d-b428-0b0cc9801ff0","resolution":{"observed_at":"2026-08-09T23:21:39.182323Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.148694Z","title":"Bedeaux, A","venue":null,"work_id":"3fcc7d91-db38-4130-8766-50e9c4c4e29e","year":1976},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.963984Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:8a1bf656b16d3b4afe87f115051d280c783b2687ddb2335274764224b2e59f47","observation_id":"266bb7d6-200d-4285-9334-8e9478955ad3","resolution":{"observed_at":"2026-08-09T23:21:39.151907Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.140396Z","title":null,"venue":null,"work_id":"69628dd7-cdd9-4a51-9216-dda06010cbef","year":2020},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.987659Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:5e5c48c193edbfa54707bd10678805965f6d6840d51e35f7c81f45b2294e8700","observation_id":"cb0cb455-cddc-4b49-908d-0b3322e34817","resolution":{"observed_at":"2026-08-09T23:21:39.143274Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.132174Z","title":null,"venue":null,"work_id":"a08a6e8a-4fd0-4348-bb0d-952968c4ea5c","year":2022},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.991559Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:1766efa766999ee3268a431635e1e7f3bdc242b401decb8f5424d2b32aca9aab","observation_id":"45a74b93-54be-4f84-a00d-78b9eadc8215","resolution":{"observed_at":"2026-08-09T23:21:39.135126Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.124174Z","title":"Bourne and P","venue":null,"work_id":"f25f0b2f-f6e0-435e-a89f-fc7e633d3e5f","year":1992},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.994554Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:0dc2cd60296fd63176effcbc6e67854f3a1d3c830d88e78ca78bd70da7d30733","observation_id":"9d18f76b-120a-4f82-9caf-51541c262f73","resolution":{"observed_at":"2026-08-09T23:21:39.126991Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.115641Z","title":null,"venue":null,"work_id":"535ff341-35fc-431e-9848-e1e14ce9aa37","year":1971},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:37.997761Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:d763cb8756bfee06ac78c3a094997d111ddc40e148d2be815436d16daee24b63","observation_id":"7140af3f-89de-436b-bdb2-008b4b0c6680","resolution":{"observed_at":"2026-08-09T23:21:39.118630Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.107605Z","title":"Cermelli, E","venue":null,"work_id":"db1ea5d0-fab9-43a9-a69a-fd597c4bfb72","year":2005},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.001023Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:c016a12a2c682d728d4bbc73090a25d6353dda9950bc0d305e598b4f0f6a5cd8","observation_id":"5c0a59f6-ec32-4af2-b322-a0cb71767dd6","resolution":{"observed_at":"2026-08-09T23:21:39.110327Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.099690Z","title":null,"venue":null,"work_id":"aff4348a-afdc-44b3-b286-2a909ca61998","year":2016},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.003439Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:d7b11ff4de265ed13dc5b1a5610f999576032c2846ac9616a40b79875b11bc90","observation_id":"57d970f8-edf2-48cc-a429-4cee747d130d","resolution":{"observed_at":"2026-08-09T23:21:39.102241Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.090702Z","title":"De Groot and P","venue":null,"work_id":"4fbfc94c-a141-4e73-a8de-a3189e131745","year":2013},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.006143Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:74bee8ac6aff3a7a160e9cfec061e9925b5e72ae89e3ffa8d55714d116edc200","observation_id":"d847795c-3e26-41bc-9e2c-5e50b063dfa3","resolution":{"observed_at":"2026-08-09T23:21:39.093834Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.082707Z","title":"Onageneralbalancelawforcontinuawithaninterface","venue":null,"work_id":"b67ee38e-5af8-491d-b207-cf4e92040474","year":1986},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.009401Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:674b5af23d3824bc271853b7883cc967cfe7a554f0b227f3e53bbc7efaef7e8f","observation_id":"a61f2a53-af58-4045-9fb3-5c871a07f162","resolution":{"observed_at":"2026-08-09T23:21:39.085487Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.074124Z","title":"Dell’Isola and A","venue":null,"work_id":"3ccb7cd6-ecc0-4b03-b442-6073d3bcbdde","year":1987},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.012434Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:cd578239f206066fb6b50d6d69d62c1d1d92ff6aa6e722451c9e261a00d6df64","observation_id":"783abf9e-774a-4fbf-b04d-d9b88395a8b4","resolution":{"observed_at":"2026-08-09T23:21:39.077379Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.066373Z","title":null,"venue":null,"work_id":"90b90665-6c35-4689-addb-fbbf10d71ff0","year":2003},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.015179Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:40ac0659a1d729fc86161d8005f89efaeab59582de34ebb3fed3f32824d1f9c2","observation_id":"90f54b9d-b7fa-4ded-977c-fc1671ceb3bf","resolution":{"observed_at":"2026-08-09T23:21:39.069227Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:39.020358Z","title":"Dziuk and C","venue":null,"work_id":"a2ef4832-e4e3-4008-afe4-564c9d4af634","year":2007},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.018222Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:d0076aef65b5082efc5d778457b3fdd87eb879374cf7abba027d62847c0005c6","observation_id":"34389dc0-06c6-4e44-ae3f-f635d6d3bf17","resolution":{"observed_at":"2026-08-09T23:21:39.046366Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.949327Z","title":"Estrada and R","venue":null,"work_id":"ad537c45-4214-45b3-bf61-7c4366fb881b","year":1991},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.020943Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:7760534be7f7075ac6073a34565a7a9a4d6fad9bafb19b6647af22f53a2c0329","observation_id":"6432c61c-1615-4e1d-9260-c7dfb3787944","resolution":{"observed_at":"2026-08-09T23:21:38.987584Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.884549Z","title":null,"venue":null,"work_id":"87e9c07a-1c89-4a5a-a687-7efd82a4ede7","year":1998},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.023729Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:53bfb8768aee9daa8e33b9e9330b330181e7d68bcf8d2bf1112dd16225cae5e5","observation_id":"10f28352-94c9-45d3-af93-a9ae451d6336","resolution":{"observed_at":"2026-08-09T23:21:38.920633Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.813955Z","title":"Feireisl, M","venue":null,"work_id":"d77ddbd0-1c15-4c88-97e4-78ae3f223f0f","year":2021},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.026659Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:cac3118894e941a425268539db84abd84135f21e26758e49828da5724cf9bcf7","observation_id":"1ac6664d-6f40-4573-898b-49b40e0632f4","resolution":{"observed_at":"2026-08-09T23:21:38.834396Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.776040Z","title":"Grinfeld","venue":null,"work_id":"d7843763-57cf-4e14-8d59-a3d8b0f3d964","year":2013},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.029440Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:c296a1ba89115fedc57c82d34da3446a4eac4bd2b551f9f6dcbf513d5dac83a6","observation_id":"18df39bf-1190-405a-97cf-c3155abdb07b","resolution":{"observed_at":"2026-08-09T23:21:38.779171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.767580Z","title":null,"venue":null,"work_id":"91f2d6ad-8a3b-4496-9b9e-53bfe8b3c403","year":1993},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.032282Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:0284dc87229431c7ccb69b4cea45ffc2f62d47284cf28fd404ef927ab564ae19","observation_id":"79ca7c66-bbb4-46d1-95a4-f46f0ab618ab","resolution":{"observed_at":"2026-08-09T23:21:38.770610Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.757342Z","title":null,"venue":null,"work_id":"e50633b2-9821-458f-a8b8-2527c7eb2f4a","year":1989},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.035325Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:bf6ce7cf92192d3d538017e6e96d30211143701bf111ddd406463d37a39ea4df","observation_id":"6a013329-037e-45ac-abcc-537c47c2977c","resolution":{"observed_at":"2026-08-09T23:21:38.761566Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.747836Z","title":"Kotchine","venue":null,"work_id":"babc0db3-e3ba-4c90-9852-d2538957b46c","year":1926},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.038175Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:a59427a5f5a3d1fbda09af87e5b3a649202861b37bca26df5435a00d75d0e284","observation_id":"b25b68a9-a9ea-48e6-bd18-c5d08d94f9c8","resolution":{"observed_at":"2026-08-09T23:21:38.751534Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.738567Z","title":"Landau and E","venue":null,"work_id":"4aa60c9e-b7da-4286-bf9e-ee152ee97cac","year":1987},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.041427Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:67c7a4ff6c159cef64ad23c24624191b0ced3efed7ddecd55a5fda26797fc2ac","observation_id":"e80d9b27-17f2-4fa6-a193-1b95faf985fa","resolution":{"observed_at":"2026-08-09T23:21:38.741889Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.729848Z","title":null,"venue":null,"work_id":"04367df0-a2ca-4fa8-9013-eb891d8e6343","year":2013},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.044244Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:ce542ffa3dc1c797fa4a0f0b7021a4e62c84adde4f6beecba54646eed47c708e","observation_id":"c0b53745-2d02-4d77-a022-1fb1517d1756","resolution":{"observed_at":"2026-08-09T23:21:38.733045Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.721195Z","title":"LeFloch.Hyperbolic Systems of Conservation Laws: The Theory of Classical and Nonclassical Shock Waves","venue":null,"work_id":"5692613e-68e5-4bd5-8e17-7007e467969d","year":2002},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.046964Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:2f20e75f29fda78c68bd9f0002e935735faf4b009f15b3c967afd4469e50c2d2","observation_id":"9e3b8c8e-f8fd-4a7a-a8ec-7ce7af36de4d","resolution":{"observed_at":"2026-08-09T23:21:38.724232Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.707821Z","title":"Mauri.Non-Equilibrium Thermodynamics in Multiphase Flows","venue":null,"work_id":"12a3058c-c9f2-442d-9fcb-dc03d5484abe","year":2013},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.049970Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:4ae1a3016bfae47f1acc67585ac7b73133b508b0e2776f429b72b2bc113f8cac","observation_id":"25bee0e4-8182-4dae-ba57-b11a271b3979","resolution":{"observed_at":"2026-08-09T23:21:38.712549Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.697487Z","title":null,"venue":null,"work_id":"8db63802-c01c-46b0-8f2d-df4e8f98c0ef","year":1993},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.052743Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:dd03156c4908e266a0f8eba503bb0afcd82f6f54ce86f353486375edb8b04d26","observation_id":"e27345c9-0c7d-45c5-985c-95c49eb842d2","resolution":{"observed_at":"2026-08-09T23:21:38.701564Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.687050Z","title":null,"venue":null,"work_id":"ad8635e0-e109-4177-8878-3bccbaac82b3","year":2001},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.055533Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:ae27dfdd1c533374b941e66636d48670ffcc88b4fafb803fed856f480eb81462","observation_id":"c59f89b6-6408-4a71-8ae7-8247588d5c3b","resolution":{"observed_at":"2026-08-09T23:21:38.691044Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.677214Z","title":null,"venue":null,"work_id":"e1750e1a-c064-4a2d-8034-e492c6ee7d3a","year":1985},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.058267Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:ceb490790ba8509c8f8c0753a86d3127f30d98af0581d312ba8804ba74635eff","observation_id":"f34074ec-b2dd-41eb-90e3-6eeb95dfdacc","resolution":{"observed_at":"2026-08-09T23:21:38.680741Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.628776Z","title":"Müller and W","venue":null,"work_id":"b278ef74-2bcb-4a6e-8ec9-cf847060b78a","year":2009},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.061016Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:3fe243307a21a5ead5a546fc699d20614a211af2b09ae0c847e0a7a0eb1d7fe1","observation_id":"df7512ef-1fc7-4785-8076-07e3e3bbc84d","resolution":{"observed_at":"2026-08-09T23:21:38.670704Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.546927Z","title":"Petryk and Z","venue":null,"work_id":"21fd73c2-bc0c-442d-92ca-542294b88d61","year":1986},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.063742Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:befb67516168319a8f23bd4ec87fb40a6da2d11ec04b9119b8a6e1bc01f39151","observation_id":"ae5980f8-af41-46f1-b865-31d21d4fe3c3","resolution":{"observed_at":"2026-08-09T23:21:38.593528Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.486682Z","title":null,"venue":null,"work_id":"3a68fce0-0d0c-4c36-a12c-2b1f1af97a52","year":1990},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.066836Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:e272fe7dd6d7c63b031d6acc72399278f18066dd392219fe4c0f8b2b898ed4ab","observation_id":"26e64a25-4049-4680-a08a-c2278d771f27","resolution":{"observed_at":"2026-08-09T23:21:38.514216Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.069932Z","title":null,"venue":null,"work_id":null,"year":1987},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.069932Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:7a9640192b2d093ff594022034c1590e3aad93a9219895ad66fcfec9e6064a40","observation_id":"71208a62-6e81-4ac1-8a6c-bcf6c86f5d60","resolution":{"observed_at":"2026-08-09T23:21:38.069932Z","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":"2026-08-09T23:21:38.423377Z","title":null,"venue":null,"work_id":"82890710-6e37-4a2c-96a0-7d5c5dced3c2","year":2007},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.072797Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:ec93c42e9e874f974ac7f09c4d2fba94f4cf31569c13a43e441f91b334389f41","observation_id":"dfa96bdd-29d8-4044-9b5b-b9531d0429f3","resolution":{"observed_at":"2026-08-09T23:21:38.452042Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.415328Z","title":null,"venue":null,"work_id":"49c7b08f-dbc5-4441-8cab-809950d9ea21","year":2012},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.075655Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:e838399af60ee735c82469523d4dbdd2f75444b4255bda29d096c120b5160cc0","observation_id":"99ca8127-3fff-4c4f-9f41-535d9aaee747","resolution":{"observed_at":"2026-08-09T23:21:38.418061Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.405835Z","title":null,"venue":null,"work_id":"fdc23d1d-ebb4-4229-ad0b-31c2c9de58e6","year":1988},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.078474Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:43e4d5ba681d674af490ee39a61bfb8a1eeb987743f69162d90b4e91f9971a04","observation_id":"6f7c5275-39eb-4bb8-9584-ef515f3bc19f","resolution":{"observed_at":"2026-08-09T23:21:38.408651Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.397763Z","title":"Thomas, M","venue":null,"work_id":"d4c5c73f-d527-44d3-90e1-c2129822eddf","year":2004},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.088777Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:26b8009d246588267fb1afea8d67ada7982dc8ccd8174ac39e9ba954ba5fe5ff","observation_id":"40c042c0-8aa8-4a9f-a284-55550a334a68","resolution":{"observed_at":"2026-08-09T23:21:38.400498Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.388500Z","title":null,"venue":null,"work_id":"413fa53c-7e20-4832-b807-08eccb483c5d","year":1949},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.115657Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:5768115d9502299b104a249c3d75e8f59f21c4437c6f07f5bea8d78d6b50fb7d","observation_id":"b1f41221-bda4-49ec-8954-d30ddacb736d","resolution":{"observed_at":"2026-08-09T23:21:38.391756Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.379608Z","title":null,"venue":null,"work_id":"b821380a-2a8c-4c96-aecc-f3c834fc58b0","year":1957},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.126370Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:f6d8b10b8c5b49db79130e9c7b85db8a43b1a03e55c3fc3d0ee34d25baf53bde","observation_id":"687dfbce-9a99-4b90-b962-308edb262a1d","resolution":{"observed_at":"2026-08-09T23:21:38.382577Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.369181Z","title":null,"venue":null,"work_id":"c39428b1-7d15-4aa5-a51c-550cef714b94","year":1961},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.152719Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:201d7da8e5cd11fdcd23bd439f8b3c1a38a099a932fe5094854e7683d448b0a2","observation_id":"beb72cb2-84bc-4554-9a1c-f5edb7a652c7","resolution":{"observed_at":"2026-08-09T23:21:38.372348Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.359056Z","title":null,"venue":null,"work_id":"1d48fdb2-cfe0-4913-8838-755d24f2df88","year":2009},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.183771Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:fddf5f0577e6318e59aaede1f7ac32ee77650ca01ed10c5cfa3acda5d19e9b60","observation_id":"14ceca03-4776-45e8-afa7-adf29b13ba75","resolution":{"observed_at":"2026-08-09T23:21:38.362401Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.348956Z","title":"Truesdell and R","venue":null,"work_id":"0aab1ba2-d729-4bd1-8979-d41bcd1e30e1","year":1960},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.223515Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:431d247beaa20e959b1cb37852e350f01d0ef7ff05996081afdce42a599b9efb","observation_id":"0e8111db-0aef-4db8-aadf-7c1f1e3c6970","resolution":{"observed_at":"2026-08-09T23:21:38.352520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.337400Z","title":"Warnecke.Analytische Methoden in der Theorie der Erhaltungsgleichung","venue":null,"work_id":"b1913d94-6b86-4453-98d7-47b9bd0ba7a3","year":1999},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.243374Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:dcf2134bddeec5081314cb1b3bd0f6a65e26621e07e47fc84e684857e3f091a3","observation_id":"84c9d323-3445-4c8a-910b-89fa8b60a0ea","resolution":{"observed_at":"2026-08-09T23:21:38.342462Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.328357Z","title":null,"venue":null,"work_id":"20b4fc1a-20f6-43d5-9cb1-dcdde51ba15c","year":1999},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.270727Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:712823cf3787ca31c47b4f231f60816ca3bebe54abe5a7cde9086b18a28e6ef8","observation_id":"dc551ce8-7fc3-4ff2-a963-f52f75cda664","resolution":{"observed_at":"2026-08-09T23:21:38.331148Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-09T23:21:38.318346Z","title":null,"venue":null,"work_id":"1df6e55b-22d4-4683-994f-b34b83a634ae","year":1905},"citing_paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-09T23:21:38.283044Z"},"links":{"citing_paper":"/paper/2501.18518"},"observation_digest":"sha256:a9acadc4e5232404bf105ad8e09318f4465d805930b2760b7e527d874f7db27b","observation_id":"3a63cb58-dba2-487c-bb1a-36f5b1ae8ae5","resolution":{"observed_at":"2026-08-09T23:21:38.322414Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2501.18518","last_updated":"2025-01-30T17:31:47Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-13T22:08:06.689505Z","submitted_at":"2025-01-30T17:31:47Z","title":"Balance Laws and Transport Theorems for Flows with Singular Interfaces"},"reference_resolution":{"displayed":46,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":26,"verified_exact":0,"verified_fuzzy":20},"total_outbound_references":46},"refusal":"A citation records a reference. It does not transfer a finding from one paper to another.","schema":"pith.paper-citation-record.v1","standing_sources":[{"observed_at":"2026-08-13T06:32:02.005865+00:00","source":"crossref"},{"observed_at":"2026-08-13T06:31:53.387327+00:00","source":"retraction_watch"}],"thesis":"As of 14 August 2026, this Paper Citation Record lists 46 of 46 outbound references and 0 inbound Pith citation observations for arXiv:2501.18518."}