{"as_of":"2026-08-16T23:42:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:bfab54187fac602a913ff6a0937b19ec9c63b5f96de3bb4dd1e7a2ccc25d6ddf","coverage":[{"denominator":32,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":32,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-14T15:33:59.660536Z","state":"measured"},{"denominator":32,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":32,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-16T06:30:59.297886+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/1908.01209/citation-record","integrity":"/paper/1908.01209/integrity","json":"/paper/1908.01209/citation-record.json","paper":"/paper/1908.01209"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-14T15:34:00.081225Z","title":"Bahouri, J","venue":null,"work_id":"7385ffdb-d33f-4cd7-b4bc-0fea695378ad","year":2011},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.534775Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:b29ac11abdaea673c6e2d0f00d2a9ec408e19c6dd578adbd3150190bd0bbbe39","observation_id":"f4795a95-b988-468d-bccf-d9735c3a7fbe","resolution":{"observed_at":"2026-08-14T15:34:00.088499Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:34:00.063967Z","title":null,"venue":null,"work_id":"adab983f-42b1-44de-afb0-0f30f5c3c579","year":2017},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.539298Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:cc979a9c501c21780e8b0f559f880c04bc653f4da19b088dd353702f9a176688","observation_id":"9e8cce54-d41a-43bb-ab5f-556cbf4daa66","resolution":{"observed_at":"2026-08-14T15:34:00.068756Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:34:00.049898Z","title":null,"venue":null,"work_id":"73a19e19-113a-4434-9037-ede12011ad46","year":1999},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.543822Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:0a5992a7b12afc2b3cb94cbc50751e8c4dccd02a44847ffd5be461d38a26290c","observation_id":"a5c38cce-fd21-4226-9c61-0218364e50ae","resolution":{"observed_at":"2026-08-14T15:34:00.054666Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:34:00.031714Z","title":"Cannone, A generalization of a theorem by Kato on Navie r-Stokes equations, Rev","venue":null,"work_id":"f3fd6334-7956-4f91-b542-5d102b1397a8","year":1997},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.547957Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:69c31d860e565081ff5d9029d79f7444e0434ef231445da2387c92ddc6e802cd","observation_id":"af7ff647-3b0b-49cb-ad51-5440235f3589","resolution":{"observed_at":"2026-08-14T15:34:00.037355Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:34:00.013774Z","title":"Charve, R","venue":null,"work_id":"f7a404d7-a0af-464e-a840-750f6da2732f","year":2010},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.552137Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:99831f674ade973e6d2c9b54444e0f2719e33c3bb1508f55a1afc037b0e6ec87","observation_id":"56bb8018-5e31-47de-b688-25e50b21f476","resolution":{"observed_at":"2026-08-14T15:34:00.019098Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.997036Z","title":"Chikami, R","venue":null,"work_id":"bec46618-d395-4324-9603-bd1f961c1c34","year":2017},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.556245Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:a9f72f752a2b4a8f26f932d53f4433e9754ebfdf40ded9e3532d031e19afe97d","observation_id":"5c29f7db-d245-467b-8b07-f0019ab7be44","resolution":{"observed_at":"2026-08-14T15:34:00.003257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.986068Z","title":null,"venue":null,"work_id":"40b9ac99-43af-4684-be0a-4b73324377cd","year":2010},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.560678Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:6cd284ce569ff2ac262fdb7c663e260b3f83a8901380a7c11139aff4ce8a1a0b","observation_id":"069f5e2c-69a2-443c-b067-a7199a426765","resolution":{"observed_at":"2026-08-14T15:33:59.989815Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.975185Z","title":null,"venue":null,"work_id":"af31b942-87bd-4627-810a-555b71b6cdda","year":2010},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.564595Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:aedb1ed03a45c69ad35e77e49d0a377c843fafdbb6d27c7a4f29db1e3ed3a674","observation_id":"e109627f-6e30-4b1b-a05e-92ac6ee80ef1","resolution":{"observed_at":"2026-08-14T15:33:59.978732Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.963503Z","title":"Chikami, T","venue":null,"work_id":"5ea57b35-8104-48f9-83a1-2a074b4155f3","year":2017},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.568445Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:c57ec28f88b1c4ffd55e0d5fcaccfb11ad566c263bfba667da709b32b25224e8","observation_id":"3d4b0783-d17f-4b3b-ae94-427b65c872e7","resolution":{"observed_at":"2026-08-14T15:33:59.967505Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.952383Z","title":"Danchin, Global existence in critical spaces for com pressible Navier-Stokes equations, Invent","venue":null,"work_id":"1e0366e3-bc31-4069-9b1c-ebc5ac9a2b23","year":2000},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.572502Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:7d0bc37acc35d38df1ea71584ef762c9055f237b9240c3731ec77755c297d342","observation_id":"a8d98cad-b210-4ee5-800f-a46d58a5b3d9","resolution":{"observed_at":"2026-08-14T15:33:59.956227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.941008Z","title":"Danchin, Fourier Analysis Methods for the Compressible Navier-Stok es Equations , Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, ed s","venue":null,"work_id":"fa3f7a49-cac3-4f8b-a24a-2064868cea5f","year":2016},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.576380Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:f35a527253123721a4cd0ffae9bbf648a71f7feee0732d03381eb8662855d6bd","observation_id":"1862ac95-2edd-41a7-bc24-8a08717c71c3","resolution":{"observed_at":"2026-08-14T15:33:59.945365Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.929675Z","title":"Danchin, J","venue":null,"work_id":"23637d7a-c5c1-47c5-b285-98ba25081ebe","year":2017},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.580081Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:dede2e774eef56dd0fea4b27e1e052389f777f8cf32ec124c0394c07e9eb21fa","observation_id":"66bae45c-0003-4826-b772-e9bac9e406d9","resolution":{"observed_at":"2026-08-14T15:33:59.933552Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.918190Z","title":"Fujita, T","venue":null,"work_id":"9ea53d0f-6d0d-40c9-819a-e9f2cab7fb78","year":1964},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.584612Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:b408192cb0b892717a2fcf5a893f0b4412d1df014cb9fa47827e0dd28de5f289","observation_id":"5e19911f-6567-4c9f-b887-b02b17dcc3a9","resolution":{"observed_at":"2026-08-14T15:33:59.922156Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.906406Z","title":null,"venue":null,"work_id":"7062b5b3-a8fc-4e92-8c93-80ba67aabd58","year":2012},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.588563Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:d4193eefafdf964e199b355f0e07e22f2cd25582d1f76f278506aae5f2521f29","observation_id":"85ac84ea-ad25-4e7f-a846-03d96bb80845","resolution":{"observed_at":"2026-08-14T15:33:59.910508Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.894371Z","title":"Haspot, Existence of global strong solutions in crit ical spaces for barotropic viscous ﬂuids, Arch","venue":null,"work_id":"d61fb558-7dc7-4a09-a63e-1a3df8527f5b","year":2011},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.592384Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:7cfeae573f209376960cbcfbb2e0ae097bf26f7f49cc3c39e810eda4baaf2c4f","observation_id":"8d9a43a5-82ec-4a6c-bf5c-80a41f74f0a1","resolution":{"observed_at":"2026-08-14T15:33:59.898481Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.881211Z","title":"Hoﬀ, Global solutions of the Navier-Stokes equation s for multidimensional compressible ﬂow with discontinuous initial data, J","venue":null,"work_id":"4332b04a-914a-4f42-a966-5c22e0683a77","year":1995},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.595986Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:3310c28661b35fc8a6f909abd35a99b643e8548a0c98583117d87293db1ce1bb","observation_id":"495a10d9-daa7-49c5-8910-3e8825a6ae61","resolution":{"observed_at":"2026-08-14T15:33:59.886142Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.868752Z","title":null,"venue":null,"work_id":"a134469e-79c8-4b43-b57a-7e3a9259c296","year":2009},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.600051Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:e31665f7f2e80c971161851535eab12aa185ef65c93374fddda2ddc05daeee94","observation_id":"9c533222-5c2d-4d35-95c6-5038d3bce77d","resolution":{"observed_at":"2026-08-14T15:33:59.872772Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.857441Z","title":"Mitrinovi´ ec, J","venue":null,"work_id":"6e681adc-887c-4b45-8761-04ca29dae68c","year":1994},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.604790Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:5e9c6a07d138bb6a93df7b1213f531e6f163a9a0630293d4a68f683e3ec2c1af","observation_id":"8a343e4b-870f-40a5-a382-ece723b65344","resolution":{"observed_at":"2026-08-14T15:33:59.861049Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.846380Z","title":"Kozono, M","venue":null,"work_id":"7591cbc1-e1a1-4661-82b0-fbb173c515ba","year":1994},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.608665Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:e6641b3d03d936ec7ec87ac7b83b450bb1d57bc47ae77154386b1bb437ddbb64","observation_id":"2e3b7d30-f85d-488e-82d2-f3d13d77af96","resolution":{"observed_at":"2026-08-14T15:33:59.850166Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.834850Z","title":null,"venue":null,"work_id":"def2c934-40be-430e-b816-5633cbaf38c7","year":2010},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.612506Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:6d3ee807ea1e8a2d8c7767fe68f4e3be24eb3bf46208cf3a20ccbf5242eb82f9","observation_id":"1abe3b2d-cf0b-4737-ba20-7160409f8bcd","resolution":{"observed_at":"2026-08-14T15:33:59.838517Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.823439Z","title":null,"venue":null,"work_id":"21214d3e-18b3-4591-ab3c-b2b4860da24d","year":2012},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.616210Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:b6254afce22d519a2e0aad1306ef6621b27231d4a3e25691d67b0ef007ec98b0","observation_id":"80f3d3e4-3b13-48f8-a785-6426d6af8a44","resolution":{"observed_at":"2026-08-14T15:33:59.827187Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.811929Z","title":null,"venue":null,"work_id":"01e24907-e2a9-43f6-b3e4-83c099e19837","year":1990},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.620529Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:e6af76eaf1b190aa40b372ec178ca2d55ba6570467b5072295c71cba257cc1d8","observation_id":"9f47e9db-24c1-4ee6-82c9-d621a5b678b2","resolution":{"observed_at":"2026-08-14T15:33:59.815976Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.798537Z","title":"Okita, Optimal decay rate for strong solutions in cri tical spaces to the compressible Navier- Stokes equations, J","venue":null,"work_id":"56576bcc-d38e-43ad-8426-b681617daf07","year":2014},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.624455Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:759f91eec37afe66f5e46c051dae003b79fab1625bd5ac8b9d7eda31e0d28ddf","observation_id":"aff8f3bc-db17-4fba-b97a-de3c4c3d9539","resolution":{"observed_at":"2026-08-14T15:33:59.803591Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.786325Z","title":null,"venue":null,"work_id":"46e02f33-daab-49d5-9534-285c4096929f","year":2006},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.628295Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:2fb1add4dbb019fc642ff79c38d391de449cadd27fcd646cb34d87f8b6f75fbe","observation_id":"76e216ae-5ad7-4229-8e5e-a049837cddab","resolution":{"observed_at":"2026-08-14T15:33:59.790147Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.773578Z","title":null,"venue":null,"work_id":"9e90ca40-77b4-4045-a4b8-42475c3c3630","year":2018},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.632092Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:de69d522611de757d620729ecfd8f69540ff1ae1928bd7c7f7477e5d26c09867","observation_id":"a99e2a57-6aef-4cbf-8aff-10d8ed7fe3a4","resolution":{"observed_at":"2026-08-14T15:33:59.778080Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.760780Z","title":null,"venue":null,"work_id":"c170463d-2bde-4c40-b415-2157b6b33265","year":2019},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.636206Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:9546ad0dda7e75c76532dd336ee7cb6b778e93a0ee917c8dc0cd454759c72c29","observation_id":"19cd0d9a-3b7a-4295-8527-855d770f9ebe","resolution":{"observed_at":"2026-08-14T15:33:59.764661Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.748530Z","title":null,"venue":null,"work_id":"5d430c25-eeb7-4c51-9a46-61840b4be244","year":2012},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.640008Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:6e7fb7204e5f87d629b4c09ab0af86722c784a974029a54fdfe5f2660b68326f","observation_id":"8e86fe22-3c29-4e44-950f-1e2e75ecaed9","resolution":{"observed_at":"2026-08-14T15:33:59.752601Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.735913Z","title":null,"venue":null,"work_id":"fa7c47cc-9e7a-416d-bece-bf709b4a51c6","year":2010},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.644396Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:2f1eba51ecb0d4d6588536f6096582852f4f1d564fd5f15ba2327afa500ab378","observation_id":"c87c7d0f-7a6f-40c5-aa59-79175e15b1d0","resolution":{"observed_at":"2026-08-14T15:33:59.739966Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.723521Z","title":null,"venue":null,"work_id":"f7242f01-da21-4a43-9006-23cf8f70f0e7","year":2015},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.648553Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:46e769a9dd34c203c769623ba1d707efe6b74a99c0fdcc921be5e6364210e327","observation_id":"6a1f88a9-7dde-4148-b5a5-95b491ca4481","resolution":{"observed_at":"2026-08-14T15:33:59.727070Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+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":"2026-08-14T15:33:59.652491Z","title":"Xu, A low-frequency assumption for optimal time-dec ay estimates to the compressible Navier- tokes equations, Commun","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.652491Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:c6f306c622a94916a6afdb24ced770618427975dc8e72bb9545405654abe493a","observation_id":"ea314742-154f-44e6-bc85-7f5028f4ec7c","resolution":{"observed_at":"2026-08-14T15:33:59.652491Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"1812.11714","last_updated":"2019-04-30T14:17:32Z","snapshot_observed_at":"2026-08-14T17:36:50.243997Z","submitted_at":"2018-12-31T07:57:23Z","title":"Optimal decay for the compressible Navier-Stokes equations without additional smallness assumptions","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"1812.11714","snapshot_observed_at":"2026-08-14T15:33:59.656378Z","title":null,"venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.656378Z"},"links":{"cited_paper":"/paper/1812.11714","citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:4a5b2c7fc7ae6a52ff5c74fe0624d05d18c7cdc97fc9e4b7c13f6e79d7682283","observation_id":"819345fa-9ebf-430d-867f-0eafa898a368","resolution":{"observed_at":"2026-08-14T15:33:59.656378Z","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":"2026-08-14T15:33:59.710496Z","title":null,"venue":null,"work_id":"982b4a14-ebc7-4e56-b137-9bb53b69010d","year":2012},"citing_paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-14T15:33:59.660536Z"},"links":{"citing_paper":"/paper/1908.01209"},"observation_digest":"sha256:73ac192ff1c40d94cbc2ccc46ab5a7d4922b62213d67a2e2d14a5501c31a6813","observation_id":"e54b6681-2242-468c-8b6e-c1e215265376","resolution":{"observed_at":"2026-08-14T15:33:59.715259Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"1908.01209","last_updated":"2019-08-03T18:04:07Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-16T03:36:48.509690Z","submitted_at":"2019-08-03T18:04:07Z","title":"Optimal time-decay estimates for the compressible Navier-Stokes-Poisson equations without additional smallness assumptions"},"reference_resolution":{"displayed":32,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":18,"verified_exact":0,"verified_fuzzy":14},"total_outbound_references":32},"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":"2026-08-16T06:30:59.297886+00:00","source":"crossref"},{"observed_at":"2026-08-16T06:30:54.164669+00:00","source":"retraction_watch"}],"thesis":"As of 16 August 2026, this Paper Citation Record lists 32 of 32 outbound references and 0 inbound Pith citation observations for arXiv:1908.01209."}