{"as_of":"2026-08-15T03:51:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:824cc0807e6496ba7bf75fdb4e470cfad3ef1c06cdb155dbe09fbd91591b3daf","coverage":[{"denominator":37,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":37,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-11T15:39:20.899889Z","state":"measured"},{"denominator":38,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":38,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-14T06:32:32.682623+00:00","state":"measured"},{"denominator":1,"lane":"inbound_itemization","note":"Pith citing papers itemized under the disclosed page cap.","records_observed":1,"source":"paper_references, paper_reference_links","source_observed_at":"2026-06-27T21:23:29.255129Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"arxiv_reference","source_observed_at":"2026-07-02T19:47:19.111398Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"cited_work":{"arxiv_id":"2412.10875","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2412.10875","snapshot_observed_at":"2026-07-02T19:47:19.111398Z","title":"Donatelli, L","venue":null,"work_id":"70a384c1-7c4f-455e-8da5-7334814427a3","year":2024},"citing_paper":{"arxiv_id":"2606.07423","last_updated":"2026-06-05T16:18:05Z","snapshot_observed_at":"2026-08-08T21:07:36.170268Z","submitted_at":"2026-06-05T16:18:05Z","title":"Invariant measures for the one-dimensional stochastic Navier-Stokes-Korteweg equations","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-06-27T21:23:29.255129Z"},"links":{"cited_paper":"/paper/2412.10875","citing_paper":"/paper/2606.07423"},"observation_digest":"sha256:2ac21c46e16f9c57f3f4150f89d5154d164e51bf6a27b8c31c80b23f80de0257","observation_id":"54d8aae9-9f4c-4ee9-945e-a74e4c5a7826","resolution":{"observed_at":"2026-07-02T19:47:19.112828Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2412.10875/citation-record","integrity":"/paper/2412.10875/integrity","json":"/paper/2412.10875/citation-record.json","paper":"/paper/2412.10875"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-11T15:39:21.709071Z","title":"Antonelli, G","venue":null,"work_id":"0eb2fc73-1be9-490d-9074-8d2f961ae96d","year":2021},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.689894Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:5c02f17e15ea38565261737c19c282418fbc41aa97f192d0b1e0d59b64255107","observation_id":"1be2ced1-d0f2-4a30-8e73-b1ac09fafbaa","resolution":{"observed_at":"2026-08-11T15:39:21.714378Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.690586Z","title":"Antonelli and P","venue":null,"work_id":"9d22090e-de80-4b04-992b-9698f2a0c042","year":2009},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.696232Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:9b10e421073023add01d4a1eac8355f5e09e09548464da5bf46df73f052afe1e","observation_id":"556d0147-5e74-4179-ba30-cb5db0e129e9","resolution":{"observed_at":"2026-08-11T15:39:21.697405Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.673094Z","title":"Antonelli and P","venue":null,"work_id":"ddb4bc54-cdac-4d5a-999c-6b3b8464cc11","year":2012},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.701831Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:f34d65dab85b4460545cab4d8f2c72937fc3868ec03548807a3d00628c500aee","observation_id":"494d182a-476f-41da-a7eb-567b263e711f","resolution":{"observed_at":"2026-08-11T15:39:21.678588Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.653474Z","title":"Antonelli, P","venue":null,"work_id":"0485d6cb-30c0-4780-af4a-99e6bb4e37c2","year":2023},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.707267Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:3925a54129da4cd57b25b05c5b2f1997086f5f84789b91d4f2c03aa82080ec07","observation_id":"1ee8f199-2691-4158-a432-0aaed24fb5e3","resolution":{"observed_at":"2026-08-11T15:39:21.659985Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.632199Z","title":"Antonelli, P","venue":null,"work_id":"bf71385f-a201-465d-ac09-3ba987afe90f","year":2021},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.713631Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:0446f7bae04150d81342256f1d1122e549716c03e7197fefd60a40282e66d4ec","observation_id":"987a342b-970f-4e21-a4a4-8822f6ba688d","resolution":{"observed_at":"2026-08-11T15:39:21.638994Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.610003Z","title":"Antonelli, L","venue":null,"work_id":"88810480-2386-4319-b595-61bbbaeddd6d","year":2020},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.719490Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:f68c0d1dca76cea80b8ca79df845110b81a1e8b8806450d4323a4bb7483ebf35","observation_id":"c7b398a5-f0f1-4cfa-9373-e726ec10e478","resolution":{"observed_at":"2026-08-11T15:39:21.617048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.583021Z","title":"Antonelli, L.E","venue":null,"work_id":"982787f6-5344-42d7-ba03-0fb2476a6c35","year":2021},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.726469Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:2696882a15eb963501695169fdacf86530c12b399d310ec17f7b78d399787bcd","observation_id":"d3b4f9ae-e1d5-4ee2-af4d-c917b94f69e7","resolution":{"observed_at":"2026-08-11T15:39:21.590042Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.561568Z","title":"Antonelli and S","venue":null,"work_id":"51e02b8f-1953-41ef-a564-56c0ce7de03f","year":2022},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.731553Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:f05c2358f253debfdf3a3bb0c11a1a6c6c38e8d344919c861bc387578f97265d","observation_id":"9958879f-1d02-4c73-8f9d-bd2c6fa541c0","resolution":{"observed_at":"2026-08-11T15:39:21.571150Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.540838Z","title":"Antonelli and S","venue":null,"work_id":"32a705c5-4c80-4f15-8efa-95e9d85232cc","year":2018},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.738463Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:693ea0f9d5841672de801d6a571b608b047b7fd2db228e29d4cbab1a51696b10","observation_id":"2c7f1788-4034-4b3c-985e-76e445e83d16","resolution":{"observed_at":"2026-08-11T15:39:21.546607Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.519909Z","title":"Audiard and B","venue":null,"work_id":"e1c04e90-0968-424d-b021-3f70598af097","year":2017},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.743998Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:be9c018ddcd68a14b13cf4f06d4b683a43eca1679e811b7eea03bc94b70e83bb","observation_id":"e1f76d9a-ac31-4d88-b049-15b936e80ad0","resolution":{"observed_at":"2026-08-11T15:39:21.527080Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.496633Z","title":"Benzoni-Gavage, R","venue":null,"work_id":"b7b11175-63d4-4527-aa27-93598129439d","year":2007},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.749640Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:d382eb036648281cb6c0607f68a423bc18f7ece4717e3a9ed0c2e894dc5dd503","observation_id":"8ccb9759-2420-4d1d-9c12-d6190888096d","resolution":{"observed_at":"2026-08-11T15:39:21.504513Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.471497Z","title":"Breit, E","venue":null,"work_id":"14502a95-a2fc-4137-93c7-a85a7136d9ed","year":null},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.755580Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:9c75108efa2c8c8cd7c410efab59c49ef0ffab30261e533e3d1382401f27840f","observation_id":"c80c37f5-398b-49f4-9560-e8352a7d2d57","resolution":{"observed_at":"2026-08-11T15:39:21.477265Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.453138Z","title":"Bresch and B","venue":null,"work_id":"785361e5-3544-4be2-9f2f-bd5a66cce8e4","year":2002},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.761388Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:29c6460b40bab30497d3bd6b62d8b60b585ea49b72a3dd0d7cda8232e01acf99","observation_id":"d31e01fc-173a-4c6c-b135-fbc1869d4392","resolution":{"observed_at":"2026-08-11T15:39:21.459745Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.435934Z","title":"Bresch, A","venue":null,"work_id":"d6ce7141-6f7f-439e-9a02-14ede8efd641","year":2022},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.766176Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:5a218ea89c76268a5e6f89be1ebb9ce2f93c4d86c9abf0c178bac9d1417ef927","observation_id":"935c5600-a9a9-4917-9814-7580c496d612","resolution":{"observed_at":"2026-08-11T15:39:21.441274Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.415586Z","title":"Dhariw al and E","venue":null,"work_id":"61cba46d-3698-44fd-b14d-1bb1928320c5","year":2025},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.772001Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:a3f06b90680d710b08478a14fa849dfab1bae3ce95122bfac04f8663adce32d7","observation_id":"b0ac6a2d-fa81-405e-b875-75be60e35aa2","resolution":{"observed_at":"2026-08-11T15:39:21.423257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.389874Z","title":"Burtea and B","venue":null,"work_id":"44201254-4124-47af-9e40-6b2a37b3120d","year":2022},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.777741Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:ecd02103e7865d43583c0e55b97d536c4b52de293ac585308aba1871ebe4a95e","observation_id":"02cf9d83-957f-4a1b-b833-17d1a4ed0af9","resolution":{"observed_at":"2026-08-11T15:39:21.397940Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.370851Z","title":"Burtea and B","venue":null,"work_id":"ed133ab3-2781-44d4-a695-c2e770a4b4c8","year":2022},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.783378Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:ad1f5682bbc421f9248c84279e240737dafdcb439b517a87ea33a022d168f7ac","observation_id":"5ce85599-aaf6-44de-bf3b-e4c291440fd3","resolution":{"observed_at":"2026-08-11T15:39:21.376044Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.352077Z","title":"Caggio and D","venue":null,"work_id":"adc62bf0-fd5a-419f-9e75-e1cef552c577","year":2021},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.788756Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:94006f60f10ceda7c0b5d44751c4c227e391f27ec438992742f830cf12183c40","observation_id":"928af2a5-92b1-4058-b355-2bfc1ab0bfe6","resolution":{"observed_at":"2026-08-11T15:39:21.357998Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.329880Z","title":"Charve and B","venue":null,"work_id":"51d90daa-8425-403c-81d7-bdfea379babf","year":2013},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.793668Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:28ca8f7bfb4ae0f20000b9f01687489535664c452daf3e3696ae9b01d80bc64a","observation_id":"2891f85a-9678-4cb9-ac92-cb1d4d22e620","resolution":{"observed_at":"2026-08-11T15:39:21.335984Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.297983Z","title":null,"venue":null,"work_id":"6a9ae910-6aef-4521-a20e-cf70cc030cef","year":2015},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.798898Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:596c7dfb6955533a8053880ccd96f3d5c392fac25aa9e9b2a72cc036ea9d1f4b","observation_id":"422298f7-a188-4659-b4f3-80cfc5cfdf70","resolution":{"observed_at":"2026-08-11T15:39:21.304230Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.278729Z","title":"Constantin, T.D","venue":null,"work_id":"ecafd0c0-4ae0-4bde-8d7b-55b46777679e","year":2020},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.803865Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:2c886ff48f4d64a7f4444d5e862cde84bb8594350aa4807be2a5975cdeada073","observation_id":"528920ac-1efd-4c18-93a8-78da4afcc830","resolution":{"observed_at":"2026-08-11T15:39:21.284109Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.258933Z","title":"Constantin, T.D","venue":null,"work_id":"28d9f299-5def-4218-bc15-252ca5745b96","year":2020},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.810015Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:20f12aa46940a5006b549cdca8e8daeb93658fe46ba1f7a522a41b67b58ce1ad","observation_id":"0040ec93-cfcf-4539-8a6f-d220b74a4db2","resolution":{"observed_at":"2026-08-11T15:39:21.265387Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.236604Z","title":"Coti-Zelati, N","venue":null,"work_id":"a0d7dbe3-e236-4de5-bd31-b609338f4402","year":2021},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.814976Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:8b93704df812688424317a8c12c9c20db1cf0e51678d0007234941be22a198eb","observation_id":"ae13154e-5fe9-47f8-a400-e7218dffb3ba","resolution":{"observed_at":"2026-08-11T15:39:21.243572Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.217402Z","title":"Da Prato and J","venue":null,"work_id":"00a13aac-6a4c-47e5-a32a-4d051bc1d055","year":1992},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.821680Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:a3b322ca6a90ef13ca3d3db4ce2a1ff6cf6b42dd8e51319ec097d86c07769ca8","observation_id":"075b6401-fa91-4c79-bba3-c57c04e2e3b8","resolution":{"observed_at":"2026-08-11T15:39:21.222933Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.192638Z","title":"Donatelli, E","venue":null,"work_id":"06565db6-3dac-4c0e-8ce0-9443835c2795","year":2015},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.827828Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:1d25c9d38933f54f151d0bdc180174db4e17b2744f562bde50ee8d3f4f5cacb7","observation_id":"ed7d8c49-f956-4977-85bb-a3de25ad7f25","resolution":{"observed_at":"2026-08-11T15:39:21.205808Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2401.10064","last_updated":"2024-01-18T15:31:33Z","snapshot_observed_at":"2026-08-14T03:15:14.019503Z","submitted_at":"2024-01-18T15:31:33Z","title":"Global regularity for the one-dimensional stochastic Quantum-Navier-Stokes equations","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2401.10064","snapshot_observed_at":"2026-08-11T15:39:20.834066Z","title":"Donatelli, L","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.834066Z"},"links":{"cited_paper":"/paper/2401.10064","citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:6fe37db0b2cf559ac713084b71bd9ecfa9524820ab9c31f3a54d1d4eddf105ae","observation_id":"32f9dbb5-21fb-454b-a676-1bfa6f71fa8f","resolution":{"observed_at":"2026-08-11T15:39:20.834066Z","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":"2026-08-11T15:39:21.174063Z","title":null,"venue":null,"work_id":"a4769ae6-6a8a-4f56-844b-d13ac99df8d1","year":1992},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.840046Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:108c8abe0b6a23d3dd6489987eade15d6909da2fab507be201a4f1b375b807d8","observation_id":"efb644a6-6684-4b7e-8089-e61823cabcb7","resolution":{"observed_at":"2026-08-11T15:39:21.180598Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.155597Z","title":"Dunn and J","venue":null,"work_id":"3751df35-c0e4-4e89-8e1a-add8a1f16ca5","year":1985},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.845849Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:e7f4a768c456b3c96dc3cddc62cb5623dd90c9562a2f855fd733e3c7a69b52c1","observation_id":"3e65cc4a-63f7-49b6-9b9f-255a0b7b4b69","resolution":{"observed_at":"2026-08-11T15:39:21.161988Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.134117Z","title":"Germain and P","venue":null,"work_id":"f8911e39-83f8-434d-9b49-ed6e0bd74eb8","year":2015},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.851129Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:387eb955935c89bcb1163b6db6f94c45eba8866d0ecc180bcabb96e4eca97903","observation_id":"3e1bc46d-7478-4bc1-937d-5a35f23e021e","resolution":{"observed_at":"2026-08-11T15:39:21.140048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.112878Z","title":"Haspot : Existence of global strong solution for the compressible Na vier-Stokes equations with degenerate viscosity coeﬃcients in 1D , Math","venue":null,"work_id":"b7a98c4c-9f32-49f9-8980-58019a7a0ba0","year":2018},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.855782Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:b4965aef3e34e128bcc20d04c1cef0727dda21a51414da2274a59890ebe2c0e0","observation_id":"2d45031a-94be-491e-8fb8-1e0b9c1869d9","resolution":{"observed_at":"2026-08-11T15:39:21.119284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.088902Z","title":"Jiu and Z","venue":null,"work_id":"a8c973ac-7da7-4f2b-b6e6-db9ccd52bfdc","year":2008},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.861708Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:b3d4b03b195d321f0621cfebf17e5cb4c513516cec8b6f82f1c5413969c24a7c","observation_id":"71dc40e0-3e6b-45c9-8350-917fdab22265","resolution":{"observed_at":"2026-08-11T15:39:21.097825Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.068370Z","title":"J ¨ungel: Global weak solutions to compressible Navier–Stokes equat ions for quantum ﬂuids , SIAM J","venue":null,"work_id":"bdba61a7-3f50-450b-add5-f1b587047f6f","year":2010},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.867681Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:f01436540abe55a853aa539e6d64be83df2f76403fd9a48f9bf65cc50ec90278","observation_id":"351519a4-bc27-4383-b541-6e79f8a6b206","resolution":{"observed_at":"2026-08-11T15:39:21.074783Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.047946Z","title":"Lacroix-Violet and A","venue":null,"work_id":"3ac4c6d9-f522-489f-8508-3ac16da77372","year":2017},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.873107Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:f1d39d7143cf6a8159f4d5dc6d3c7388191264ea5aae28b59b245726b4481634","observation_id":"0a96e2d4-a471-4db9-b26f-0c9e36e9ce31","resolution":{"observed_at":"2026-08-11T15:39:21.053570Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:21.028697Z","title":"Landau and E","venue":null,"work_id":"1cf60657-b884-4234-95c8-20e122a4e88d","year":1977},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.879408Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:8a258587c9b8d39d976d6bc4b34169fc24380d4757be148bb4136bf0e21b0a21","observation_id":"9bc6711e-d078-495e-98d3-f0167a986951","resolution":{"observed_at":"2026-08-11T15:39:21.034494Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"1504.06826","last_updated":"2015-11-11T14:28:05Z","snapshot_observed_at":"2026-08-14T22:51:00.249392Z","submitted_at":"2015-04-26T14:09:44Z","title":"Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1504.06826","snapshot_observed_at":"2026-08-11T15:39:20.886292Z","title":"Li and Z","venue":null,"work_id":null,"year":null},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.886292Z"},"links":{"cited_paper":"/paper/1504.06826","citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:13ea83cbebfbaf9e2938cbe4aae2d6a62e596910773bb8b97ebed1d1509a8fb4","observation_id":"0e35bc8a-7e44-490b-9b27-19b83cb8111d","resolution":{"observed_at":"2026-08-11T15:39:20.886292Z","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":"2026-08-11T15:39:21.004693Z","title":"Mellet and A","venue":null,"work_id":"0fb44e9a-eeb2-4027-90b7-441764cb5fc3","year":2008},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.894613Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:03ea296c624b8dccdb9cabb53522297735cda7d06baee83c1cc50ce7e33cad02","observation_id":"6742e660-2826-49cd-9281-993a3d42dc6b","resolution":{"observed_at":"2026-08-11T15:39:21.011161Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+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":"2026-08-11T15:39:20.979402Z","title":"V asseur and C","venue":null,"work_id":"d2e6ad64-7ab3-44d7-a826-f7108205c9fc","year":2016},"citing_paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-11T15:39:20.899889Z"},"links":{"citing_paper":"/paper/2412.10875"},"observation_digest":"sha256:5e4277aefc478dd8b20decd93cedd4ebcae8996677beb2a1bfaacb8563b2913d","observation_id":"52706290-90ab-4920-b299-d2b494616eed","resolution":{"observed_at":"2026-08-11T15:39:20.988640Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2412.10875","last_updated":"2024-12-14T16:04:14Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-14T04:59:28.849973Z","submitted_at":"2024-12-14T16:04:14Z","title":"Weak martingale solutions to the stochastic 1D Quantum-Navier-Stokes equations"},"reference_resolution":{"displayed":37,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":4,"verified_exact":0,"verified_fuzzy":33},"total_outbound_references":37},"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":"2026-08-14T06:32:32.682623+00:00","source":"crossref"},{"observed_at":"2026-08-14T06:32:18.44784+00:00","source":"retraction_watch"}],"thesis":"As of 15 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 1 inbound Pith citation observation for arXiv:2412.10875."}