{"as_of":"2026-08-14T11:32:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:2d67ffdb8337c9617a6183daecaf9b68f85380c010a1a57d202d566409c91ec5","coverage":[{"denominator":20,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":20,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-05T18:06:25.521228Z","state":"measured"},{"denominator":21,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":21,"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":"2026-05-15T11:11:47.727068Z","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":"2026-05-15T11:15:30.140176Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"cited_work":{"arxiv_id":"2508.15199","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2508.15199","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Wang and S","venue":null,"work_id":"40004f4f-036a-4e30-9d24-1ba50e0d7d0d","year":null},"citing_paper":{"arxiv_id":"2603.14696","last_updated":"2026-05-14T03:16:18Z","snapshot_observed_at":"2026-08-07T09:15:24.733121Z","submitted_at":"2026-03-16T01:05:08Z","title":"Multi-Dimensional Structural Stability of Mixed Riemann Configurations Containing Centered Rarefaction Waves and Surfaces of Discontinuities of Gas Dynamics","version":2},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-05-15T11:11:47.727068Z"},"links":{"cited_paper":"/paper/2508.15199","citing_paper":"/paper/2603.14696"},"observation_digest":"sha256:d3b32170dc94999fca0fc057013fdd6cba7ecf5dd1f7d6c17a20511c6985840b","observation_id":"a9cdfd00-cdb9-4f6f-8baf-f16c60151986","resolution":{"observed_at":"2026-05-15T11:15:30.142255Z","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/2508.15199/citation-record","integrity":"/paper/2508.15199/integrity","json":"/paper/2508.15199/citation-record.json","paper":"/paper/2508.15199"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:06:30.532728Z","title":"The emergence of the C auchy horizon from the crease in 3 D compressible E uler flow","venue":null,"work_id":"ea5a7f6a-a0cd-47f3-ba76-b629b40b6990","year":null},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":1,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:23.495186Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:9ab02c037e741561a79451192e239660297d14dca9c72dfacc58f24ee3b4d447","observation_id":"96aa0ebf-4153-411e-ae34-f3341e7eec84","resolution":{"observed_at":"2026-08-05T18:06:30.654839Z","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":"2207.07107","last_updated":"2022-07-14T17:58:16Z","snapshot_observed_at":"2026-08-13T15:03:56.380690Z","submitted_at":"2022-07-14T17:58:16Z","title":"The emergence of the singular boundary from the crease in $3D$ compressible Euler flow","version":1},"cited_work":{"arxiv_id":"2207.07107","doi":null,"metadata_source":"pith","pith_arxiv_id":"2207.07107","snapshot_observed_at":"2026-08-05T18:06:26.206987Z","title":"The emergence of the singular boundary from the crease in $3D$ compressible Euler flow","venue":"math.AP","work_id":"551a3755-fd44-4f5e-af82-9cdd30fb85d9","year":2022},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":2,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:23.545882Z"},"links":{"cited_paper":"/paper/2207.07107","citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:7449740df848e7ef93575e217d77f52ce27ceb29b4a6b7804ce4c11d9635b3ee","observation_id":"bbaea825-e9ec-41ec-a7aa-f85f096e2e50","resolution":{"observed_at":"2026-08-05T18:06:26.313877Z","resolver_source":"local_arxiv","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:06:30.155534Z","title":"The relativistic euler equations: Esi notes on their geo-analytic structures and implications for shocks in 1d and multi-dimensions","venue":null,"work_id":"0df5f406-28bb-4214-8658-d7891a9ef4f1","year":2023},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":3,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:23.665858Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:6b56800fb333c917dccf510fad9523c7153cdf6c9e496782d7a47142bbc2afc5","observation_id":"1f8016fc-fdde-44db-92e1-19809a9a887d","resolution":{"observed_at":"2026-08-05T18:06:30.329562Z","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":"2026-08-05T18:06:29.788967Z","title":"The formation of shocks in 3-dimensional fluids","venue":null,"work_id":"7ed5ebff-665f-4cf4-b6f5-2830c20fc30e","year":2007},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":4,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:23.771758Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:53928c529b734a8ea5f6d31e787343fcf158cabedea2351b5cae840db80ed9df","observation_id":"49cc0d2f-0784-4fe5-9e11-3249493371a9","resolution":{"observed_at":"2026-08-05T18:06:29.986669Z","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":"2026-08-05T18:06:29.423717Z","title":"The formation of black holes in general relativity","venue":null,"work_id":"892ed373-7d83-4a4e-be19-806ba0f94566","year":2009},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":5,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:23.916926Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:e04be7e1e4333c6e64af93601151e61fac6d874089cad12f438b263ec194a353","observation_id":"73c97e39-a139-4f01-b588-00b594b6f9c5","resolution":{"observed_at":"2026-08-05T18:06:29.573337Z","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":"2026-08-05T18:06:29.098062Z","title":"The shock development problem","venue":null,"work_id":"73e858bc-8789-4e0e-8db7-07f1c69c63c0","year":2019},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":6,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.036853Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:d7ca631588729043d52cc17842f6c97b44d55b7032496176652dce92708977b8","observation_id":"c159465f-6e31-45e4-89e1-7ea29b0a9cac","resolution":{"observed_at":"2026-08-05T18:06:29.249638Z","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":"2026-08-05T18:06:28.796656Z","title":"The global nonlinear stability of the M inkowski space , volume 41 of Princeton Mathematical Series","venue":null,"work_id":"7805269d-8b45-4bca-8b05-9b43d737070b","year":1993},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":7,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.163259Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:62bb17e976a48fea797168d1d519a2e55c30bcc1a3cf6fc6c6cbae5026d7563a","observation_id":"a925d534-7514-46f0-9247-73f80706eee4","resolution":{"observed_at":"2026-08-05T18:06:28.960573Z","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":"2026-08-05T18:06:28.478107Z","title":"Compressible flow and E uler's equations , volume 9 of Surveys of Modern Mathematics","venue":null,"work_id":"ed04949f-c6da-401d-9291-ea64a633bc4e","year":2014},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":8,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.285797Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:4a3fad0a1512f882855145e70d84e36376f216803acf2d752eb11b9a6726a4b5","observation_id":"710d3b22-df8f-4426-9d2f-d64c3569ff63","resolution":{"observed_at":"2026-08-05T18:06:28.643387Z","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":"2026-08-05T18:06:28.083700Z","title":"Disconzi and Jared Speck","venue":null,"work_id":"a648300f-1cab-4434-af7d-1a263628ef7e","year":2019},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":9,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.399991Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:6b08f2067e6a8ce30b0f7bede07acc4176eb0746a42d2c5420fd5abb91e6bc91","observation_id":"ddb3f4f5-c4ad-4b13-8d2c-d5e5045d70ea","resolution":{"observed_at":"2026-08-05T18:06:28.280138Z","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":"2026-08-05T18:06:27.836676Z","title":"Principes généraux du mouvement des fluides","venue":null,"work_id":"2d03af61-612b-4eb2-b674-cd2337d9aee5","year":null},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":10,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.513774Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:7020fc3e94c6a2e9ffce2214bce986b6eff88390f22078b8984b9502033aed09","observation_id":"f1495c98-fdaf-49a0-b793-46b6365d48e0","resolution":{"observed_at":"2026-08-05T18:06:27.967519Z","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":"2026-08-05T18:06:27.642230Z","title":"Characteristic initial value problem for spherically symmetric barotropic flow","venue":null,"work_id":"f4132b7a-76de-4157-889d-ad99a48798b8","year":2017},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":11,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.616935Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:c0a433d9c5cfaf33164a91caa6c27b3fd7fd375b994e8bba3b8f045154e0156a","observation_id":"05bf3fb7-1af5-4c14-b4ea-46eea65901d6","resolution":{"observed_at":"2026-08-05T18:06:27.746819Z","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":"2112.15266","last_updated":"2021-12-31T01:50:53Z","snapshot_observed_at":"2026-08-13T17:06:01.350681Z","submitted_at":"2021-12-31T01:50:53Z","title":"Shock Reflection in Plane Symmetry","version":1},"cited_work":{"arxiv_id":"2112.15266","doi":null,"metadata_source":"pith","pith_arxiv_id":"2112.15266","snapshot_observed_at":"2026-08-05T18:06:26.020910Z","title":"Shock Reflection in Plane Symmetry","venue":"math.AP","work_id":"c2adf6e0-5f9c-4f4f-868c-742cd8eead73","year":2021},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":12,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.709647Z"},"links":{"cited_paper":"/paper/2112.15266","citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:cb62514716c0e18b75375df4ac52d8d49eaaffb19c3f209568874eb040c5c875","observation_id":"f2672d31-42dc-402f-ba0b-982f00281658","resolution":{"observed_at":"2026-08-05T18:06:26.094062Z","resolver_source":"local_arxiv","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"}},{"citation":{"cited_paper":{"arxiv_id":"2202.08111","last_updated":"2022-02-16T14:47:09Z","snapshot_observed_at":"2026-08-08T06:43:38.752984Z","submitted_at":"2022-02-16T14:47:09Z","title":"Shock Interaction in Plane Symmetry","version":1},"cited_work":{"arxiv_id":"2202.08111","doi":null,"metadata_source":"pith","pith_arxiv_id":"2202.08111","snapshot_observed_at":"2026-08-05T18:06:25.826895Z","title":"Shock Interaction in Plane Symmetry","venue":"math.AP","work_id":"5fb7cf07-1507-4083-99b3-49ab58b8a904","year":2022},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":13,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.788910Z"},"links":{"cited_paper":"/paper/2202.08111","citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:648ff2b3cc1e5e918d4d540e2b43508fd7982baf9200106b3d801036b0e11506","observation_id":"fa791f2f-e647-48aa-aa72-44b060d88119","resolution":{"observed_at":"2026-08-05T18:06:25.917464Z","resolver_source":"local_arxiv","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"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-05T18:06:27.454492Z","title":"On the local existence for the characteristic initial value problem in general relativity","venue":null,"work_id":"fa726822-09bd-42ea-939b-59444e51e07a","year":2012},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":14,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:24.891303Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:ace717aa530949c19e0400041714605c9d493ae1f1603a6c567edb9c7091827a","observation_id":"08e9ad12-85bc-4685-8d3d-02f45850281c","resolution":{"observed_at":"2026-08-05T18:06:27.558952Z","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":"2026-08-05T18:06:27.229232Z","title":"The hidden null structure of the compressible E uler equations and a prelude to applications","venue":null,"work_id":"5c61df7e-8f38-402b-8e1b-355fc49b33bc","year":2020},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":15,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:25.030183Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:a23eaad7d82c737722d6565165781c29890d8da03bf8351b19a855d1b053ee74","observation_id":"3c80af13-0cbb-4a26-860f-de1ec214b1ca","resolution":{"observed_at":"2026-08-05T18:06:27.347111Z","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":"2026-08-05T18:06:27.013772Z","title":null,"venue":null,"work_id":"4ebd3978-bd40-40ae-93cd-63ae410c7453","year":1990},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":16,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:25.118409Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:b2ad7ab72b35cef9621383ee5669d2a434afb2a71364e1e0faf52b75c2a8f384","observation_id":"1cbaa851-ce85-4421-8b55-5bed30145537","resolution":{"observed_at":"2026-08-05T18:06:27.119917Z","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":"2026-08-05T18:06:26.798445Z","title":"\\\"U ber die fortpflanzung ebener luftwellen von endlicher schwingungsweite","venue":null,"work_id":"2c02b998-c404-4442-b5b8-6c89a3e98931","year":null},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":17,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:25.230067Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:c087e85721b9d68f20dd784011bddca55cf5c20b739cff396b86528e7eddeb21","observation_id":"70463b36-38da-47a8-8d62-35c590608ebd","resolution":{"observed_at":"2026-08-05T18:06:26.894259Z","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":"2026-08-05T18:06:26.637010Z","title":"A new formulation of the 3 D compressible E uler equations with dynamic entropy: remarkable null structures and regularity properties","venue":null,"work_id":"5a3eb95e-78db-4aff-8e24-304c7619adf2","year":2019},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":18,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:25.329755Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:367a4c2a1a83e7bfeaa929e39ca396caec832c64f0e453863767e5588a761149","observation_id":"f051e35f-69d3-4f9f-af11-f9b3a840a22a","resolution":{"observed_at":"2026-08-05T18:06:26.725147Z","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":"2026-08-05T18:06:26.417435Z","title":"Characteristic initial value problem for the 3 D compressible E uler equations","venue":null,"work_id":"58558658-1180-4e5b-96ab-f85dbace183a","year":null},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":19,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:25.414696Z"},"links":{"citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:d1545e5ca541dd055518506d1d4448c07c4b51e357ac9e88f36ae2b4d634f662","observation_id":"429540cd-d895-4f2c-ac18-194afa393f47","resolution":{"observed_at":"2026-08-05T18:06:26.519885Z","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":"2310.06510","last_updated":"2023-10-10T10:44:35Z","snapshot_observed_at":"2026-08-13T05:53:07.859864Z","submitted_at":"2023-10-10T10:44:35Z","title":"Shock interaction in sphere symmetry","version":1},"cited_work":{"arxiv_id":"2310.06510","doi":null,"metadata_source":"pith","pith_arxiv_id":"2310.06510","snapshot_observed_at":"2026-08-05T18:06:25.658228Z","title":"Shock interaction in sphere symmetry","venue":"math.AP","work_id":"424b9a05-4506-44dd-84e7-6b012ae5911b","year":2023},"citing_paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations","version":1},"reference_index":20,"source":"arxiv_source","source_observed_at":"2026-08-05T18:06:25.521228Z"},"links":{"cited_paper":"/paper/2310.06510","citing_paper":"/paper/2508.15199"},"observation_digest":"sha256:c4b89bd2bb520d665fd6066528591805e7e1c46a5eb829485b9365e0d39228b3","observation_id":"1cde3752-77ce-46ce-91d4-d00c30148aa3","resolution":{"observed_at":"2026-08-05T18:06:25.728092Z","resolver_source":"local_arxiv","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"}}],"paper":{"arxiv_id":"2508.15199","last_updated":"2025-08-21T03:20:21Z","latest_version":1,"primary_category":"math.AP","snapshot_observed_at":"2026-08-05T18:06:20.063747Z","submitted_at":"2025-08-21T03:20:21Z","title":"Constructing characteristic initial data for three dimensional compressible Euler equations"},"reference_resolution":{"displayed":20,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":1,"verified_exact":4,"verified_fuzzy":15},"total_outbound_references":20},"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 14 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 1 inbound Pith citation observation for arXiv:2508.15199."}