{"as_of":"2026-08-11T02:54:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:8e2c6054cc4ad52f279382c33148787ce0284738654b48c779e247bd97dd96e1","coverage":[{"denominator":39,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":39,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-10T04:16:34.430166Z","state":"measured"},{"denominator":39,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":39,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-10T06:31:04.303077+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/2608.06642/citation-record","integrity":"/paper/2608.06642/integrity","json":"/paper/2608.06642/citation-record.json","paper":"/paper/2608.06642"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-10T04:16:35.030031Z","title":null,"venue":null,"work_id":"84df4b98-fbb8-478a-bb03-81bfd7de73dc","year":2020},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.294008Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:668f24bc0182327d259b196a15a6bcac54316bd9142589ef91f0b811379cb1d7","observation_id":"ac44e364-e74c-4c8b-b771-f4e4ef7232f3","resolution":{"observed_at":"2026-08-10T04:16:35.033758Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:35.019238Z","title":null,"venue":null,"work_id":"054c6d3f-a711-4192-b653-045e0645f408","year":2014},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.298193Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:316cf6b168c816d6c0fb7a330639d3ecffcbabe169b00cd792a48f645bf0fb83","observation_id":"85fd54be-265f-4c5a-88f3-f9266b43296e","resolution":{"observed_at":"2026-08-10T04:16:35.022928Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:35.007982Z","title":"Chan,On discretely entropy conservative and entropy stable discontinuous Galerkin meth- ods, J","venue":null,"work_id":"30c3af24-6aa6-4385-9a73-f54c424f8d14","year":2018},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.301763Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:147cd149ea79d22ff8ae848f7cdc2ef67f90b8dc0495c39be4d45931b08bc9f7","observation_id":"a980c6b9-1f72-4cad-aac4-fcc8f73e4f84","resolution":{"observed_at":"2026-08-10T04:16:35.012112Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.997171Z","title":null,"venue":null,"work_id":"fcb473c6-8f2b-47e8-bad2-4107219ac8e5","year":2019},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.305413Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:ee09df856952f91d1f8f3aa4ad322459999ed474535b871888a0ad8ab73c64cd","observation_id":"9101e01c-f596-4873-9fcf-e9c9a205646d","resolution":{"observed_at":"2026-08-10T04:16:35.000991Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.986647Z","title":"Chandrashekar,Kinetic energy preserving and entropy stable finite volume schemes for compressible Euler and Navier–Stokes equations, Commun","venue":null,"work_id":"42543a8d-fe16-4266-8b56-3ecdfbcd9744","year":2013},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.309147Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:33c9648aede547fea517cab2b2be913bfffe5ecae15765a00d11497c623157b7","observation_id":"ae822994-e733-4433-92cd-c2ef475a8961","resolution":{"observed_at":"2026-08-10T04:16:34.990138Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.976682Z","title":"Chen and C.-W","venue":null,"work_id":"d37a4944-4f14-4509-b58e-751a7bbaaeba","year":2017},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.312812Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:f91efaee0d0ed8802502264f1e69c91796b18d19033bbf49a1526682e4bdfc74","observation_id":"0128a32b-0ad1-4434-88f5-b472ad5597b8","resolution":{"observed_at":"2026-08-10T04:16:34.979736Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.966786Z","title":"Chen and C.-W","venue":null,"work_id":"a818c17e-dc12-4def-b978-ca7a235b207b","year":2020},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.316505Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:cc8ae2815f976f81fa3ac001cc3e490bca263984bbf98bba1cc48879162ffe9a","observation_id":"f9338dc8-f666-4dc8-a28c-f6783c9f53b9","resolution":{"observed_at":"2026-08-10T04:16:34.970252Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.956913Z","title":null,"venue":null,"work_id":"75c6ed0f-44f0-4114-ae42-d321933bc4c4","year":1978},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.320031Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:0f25cd53eebeaab19f846ba032d5e2c6956fba061e3ebcb219660bf9d177ad60","observation_id":"2f19583e-bc70-4fd8-b891-e203afae0931","resolution":{"observed_at":"2026-08-10T04:16:34.960407Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.945958Z","title":"Crean, J","venue":null,"work_id":"c3c6a886-c029-450c-bf89-f90a13772b81","year":2017},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.323524Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:b2384a8cb6c852e64446ba46538d6d8a3fd696fed4692edff7306c13e218adf0","observation_id":"bf91e4bf-32cc-42de-90fb-ba0ee0bccb2c","resolution":{"observed_at":"2026-08-10T04:16:34.949632Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.935148Z","title":"Crean, J","venue":null,"work_id":"7e39e64d-d234-4125-a19b-6399be76ebd3","year":2018},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.326716Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:1babb0412e5342b2a5975e0b15d78c56e0a222adfdee25b5d5c2355fba850966","observation_id":"d3c033b0-9fb7-4664-aabb-a7451e02e902","resolution":{"observed_at":"2026-08-10T04:16:34.938750Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.924467Z","title":null,"venue":null,"work_id":"9f58ac32-edf3-4af0-b996-44ec985db123","year":2010},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.330118Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:454b9ac1da364c57216b0407076ce08b14a8696acec42acc05ac48be4dad9342","observation_id":"be3de7b2-04d3-4de5-8ed0-7d5c365eed75","resolution":{"observed_at":"2026-08-10T04:16:34.928304Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.913649Z","title":null,"venue":null,"work_id":"8fd1793f-7391-4dc3-997b-233222701a1e","year":2018},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.333733Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:64d3e1146678a450181a10767a03b89df2dca4f8fe8b870924128475be8e90ef","observation_id":"9a19aed9-904b-4786-b6c8-2196584a2118","resolution":{"observed_at":"2026-08-10T04:16:34.917545Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.902858Z","title":null,"venue":null,"work_id":"361a940e-7dce-41dc-94b1-601cf36385b0","year":2012},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.337279Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:479f98ee965d83131e463512e3d28c4c45c6d56c357200654a9d62fb139f09ff","observation_id":"88cd6b24-58d5-443a-9c30-99003e54cf3e","resolution":{"observed_at":"2026-08-10T04:16:34.906584Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.891618Z","title":null,"venue":null,"work_id":"09f418cf-a900-42d5-8730-9f8f030ea8ce","year":2013},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.340823Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:438ea34864ec210a37b7bd5af520971b6de8e5cb03108dcf7b2f1f1efbc44697","observation_id":"6efa57f4-098a-474b-9931-6677dfabae70","resolution":{"observed_at":"2026-08-10T04:16:34.895399Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.881120Z","title":null,"venue":null,"work_id":"4014b8da-70a6-4844-8f0b-24a10b85c8d4","year":2016},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.344230Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:097b3ad2e425d25d1b842a66b4bfbdd1f169ae3262b3d48267675013583ba435","observation_id":"ed232b2c-e4e2-4c33-8042-f031e729cfe2","resolution":{"observed_at":"2026-08-10T04:16:34.884683Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.768353Z","title":null,"venue":null,"work_id":"e4114de5-3108-4b12-9209-a9c39aca3bb2","year":2018},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.347702Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:81c6ab0fd6b86887ff0c1161d2795acbb74e60c4fd9186d65c24897f95a8b4f9","observation_id":"9f6bc71f-5105-4d18-ad59-d4d14593297c","resolution":{"observed_at":"2026-08-10T04:16:34.873691Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.756829Z","title":"Geuzaine and J.-F","venue":null,"work_id":"0d6ec67c-6763-4783-a0b5-46afc26c92d8","year":2009},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.351514Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:bf52564da33ece5357741a86103723cf9350ddcc2fadc8dee685273737e30ac2","observation_id":"412d015e-9ab7-40ef-a970-39cae4cbb930","resolution":{"observed_at":"2026-08-10T04:16:34.760703Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.745931Z","title":"Godlewski and P.-A","venue":null,"work_id":"3f1eb43f-5a98-4bbe-9580-f3d687e1cc89","year":1991},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.355366Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:346b2b80f5c500fa8df82cad1a49f2309ea134e5af565fbbdc7fc9f98ddfdc04","observation_id":"bbd1cd93-78a4-41f9-938e-f3a07984837b","resolution":{"observed_at":"2026-08-10T04:16:34.749290Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.735622Z","title":"Godlewski and P.-A","venue":null,"work_id":"2536f614-a821-4ed2-bdc5-2790ba25dd97","year":1996},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.358519Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:4f7b9fbfcaea75263d211ff96dc4bf2ff9ad23f49abe8d5b12171318384494be","observation_id":"77a65b39-173e-4acb-8eff-b0f9298453ba","resolution":{"observed_at":"2026-08-10T04:16:34.738888Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.726351Z","title":"Gottlieb, C.-W","venue":null,"work_id":"a11af70f-ebc8-474a-bc2d-6be32e7dc961","year":2001},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.362249Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:510283b30009a6fe4a61ce27828368b11e1a24ce73dd6fa4d55c7d7bb863a658","observation_id":"a90bde33-f78e-4638-b7da-60408a29be7d","resolution":{"observed_at":"2026-08-10T04:16:34.729495Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.717182Z","title":null,"venue":null,"work_id":"d12af5fe-0829-438c-983e-4600e167c6e3","year":2016},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.365936Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:d498074862b0ba90dad81eea19002bcec95f9c4de10c8d197cada4e4635af078","observation_id":"8f710d96-d518-4595-991b-17709c883390","resolution":{"observed_at":"2026-08-10T04:16:34.720154Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.707983Z","title":"Huang and C.-W","venue":null,"work_id":"176416d7-9ad6-4753-a443-5507ba7d5051","year":2017},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.369397Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:d20bbb0af8283425866016c88c426127b1f75f6a37e5cfb87244a847f5040e48","observation_id":"902b867e-6d02-4259-8768-31bd8119f7e6","resolution":{"observed_at":"2026-08-10T04:16:34.710982Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.697639Z","title":null,"venue":null,"work_id":"d0510e66-255c-4147-90a2-403f47646e85","year":2002},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.372681Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:0d6123fb121a7a8feb128a40bd74997149f8fb8b053eedc29c2817d087093c74","observation_id":"9451ab82-b5f6-4cba-a561-fb035743c9eb","resolution":{"observed_at":"2026-08-10T04:16:34.701354Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.684620Z","title":null,"venue":null,"work_id":"09a84374-7fa1-4a46-8c6f-9b90f56ccee0","year":2025},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.375903Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:ee69ce2bcb1fa415631b9d7ef0fc713b9bf370861f28e23366c995bac061db41","observation_id":"7a050c19-87d3-44ef-9123-8cde74841dc6","resolution":{"observed_at":"2026-08-10T04:16:34.689528Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.674234Z","title":null,"venue":null,"work_id":"f7af86e8-a098-4849-a08c-68b1bb4d589a","year":2026},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.378925Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:aec1f381fcf5ca9b3a861c03779b6a4c58f0f102bec18e0252f8e7fdb6e95a49","observation_id":"7cab45f5-a2d4-413d-ba04-8ac08866d59b","resolution":{"observed_at":"2026-08-10T04:16:34.677970Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.662978Z","title":null,"venue":null,"work_id":"846b1b0e-3c0f-4a9f-976f-ffa7de82c25b","year":2024},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.382025Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:ad95273b96966fe46c3567f359e4865255c6c1e1a59043ce46efb4f8f955b665","observation_id":"aa841fc3-3ed6-409f-8b73-4b7b46c914a5","resolution":{"observed_at":"2026-08-10T04:16:34.666484Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.652154Z","title":"Liu, C.-W","venue":null,"work_id":"21db0762-6969-442c-b9a6-4c74e6d7216e","year":2018},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.385234Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:2b1fe2dff226eb9d478cad28d1da231468971b907993d93befa87c295aec1dd6","observation_id":"c7903bf0-03fc-408f-afc8-289423dc0385","resolution":{"observed_at":"2026-08-10T04:16:34.655897Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.640236Z","title":"¨Offner, J","venue":null,"work_id":"9eb11b03-30e7-4b8f-bcfa-19e46b9ff72a","year":2018},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.389955Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:900eab352c88b8657c6055eadc87ec8583606f9e946ea6c06b00e782a6a176cc","observation_id":"8ddb5a06-c95d-4c34-8c53-a313f8e4c267","resolution":{"observed_at":"2026-08-10T04:16:34.644105Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2607.27049","last_updated":"2026-07-29T15:39:54Z","snapshot_observed_at":"2026-08-06T16:18:49.531230Z","submitted_at":"2026-07-29T15:39:54Z","title":"Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws","version":1},"cited_work":{"arxiv_id":"2607.27049","doi":null,"metadata_source":"pith","pith_arxiv_id":"2607.27049","snapshot_observed_at":"2026-08-10T04:16:34.526216Z","title":"Convergence of entropy-conservative summation-by-parts discretizations to smooth solutions of hyperbolic conservation laws","venue":"math.NA","work_id":"6860018d-9f20-431d-ac0e-149a4ec2eb83","year":2026},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.393827Z"},"links":{"cited_paper":"/paper/2607.27049","citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:2ea4bf151ca7d407c0569a5be7af69f13d5992381f5238626fe188381501ea82","observation_id":"546a0071-dc7b-40e3-a853-fcf6ec303178","resolution":{"observed_at":"2026-08-10T04:16:34.532134Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.628432Z","title":"Renac,Entropy stable DGSEM for nonlinear hyperbolic systems in nonconservative form with application to two-phase flows, J","venue":null,"work_id":"4c0bd3d4-67c7-4270-bb6b-034ef4ccac9a","year":2019},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.397989Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:55aca6bc35499fd881f187eb848bc7c44ec05cb33ed5a03d9121c8c9281ab268","observation_id":"58126818-898e-46dc-bcdb-44ad99d5e93c","resolution":{"observed_at":"2026-08-10T04:16:34.632764Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.615633Z","title":null,"venue":null,"work_id":"d5a6612c-f762-44cb-bc67-13a20cd4d47d","year":2019},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.401614Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:9c0a3a2bf5f6cd310235ef7340073ff3083cab916efadd368d0888f8de33fa3f","observation_id":"9c24ed6f-a203-4e13-817c-349a927f7fa3","resolution":{"observed_at":"2026-08-10T04:16:34.620322Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.605031Z","title":"Tadmor,The numerical viscosity of entropy stable schemes for systems of conservation 30X.-K","venue":null,"work_id":"69547a7c-c5de-461b-8a25-cafec6a3f6b4","year":1987},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.405171Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:f0129247c9adeec58476f16ce112cf2a4e218b30866b518671dbd66283ff0395","observation_id":"78f2465a-164f-475b-a5e2-72653c141d60","resolution":{"observed_at":"2026-08-10T04:16:34.608858Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.593864Z","title":"Tadmor,Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems, Acta Numer., 12 (2003), pp","venue":null,"work_id":"b69d83c2-9d81-4b4f-952b-e5e6a11c5057","year":2003},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.408795Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:5e2eff4a75974ff607c31d64da33def8b35ac7d5595a26dbeb3d321d2b676d57","observation_id":"46f22f4c-385e-445f-a025-7ae7d82080fc","resolution":{"observed_at":"2026-08-10T04:16:34.598212Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.582377Z","title":"Wintermeyer, A","venue":null,"work_id":"a5f1583d-d890-412b-b4cb-fc5709ee0d82","year":2017},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.413366Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:a958f4b8774d37d621275cd13e43ad24ca18af936185a79f72216db447baf504","observation_id":"d561a4d5-8032-45b5-b087-525f0afb45ce","resolution":{"observed_at":"2026-08-10T04:16:34.586180Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.416743Z","title":null,"venue":null,"work_id":null,"year":2026},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.416743Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:05572b750d85420b9b69675c9da7d787a54e3c04f4f1eeb2d8695e8f414677fb","observation_id":"52c59b71-4dcb-4725-96d5-f4c92d60557d","resolution":{"observed_at":"2026-08-10T04:16:34.416743Z","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":"2026-08-10T04:16:34.572209Z","title":"Zhang and C.-W","venue":null,"work_id":"4abcb9f2-f8cb-4bbb-9201-408771886b3a","year":2003},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.420228Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:7178c66afe561df8f123339966539875939d576e873350ae641b91b1a6b60ec4","observation_id":"8facb481-14f6-445c-87e0-dd712b0301f6","resolution":{"observed_at":"2026-08-10T04:16:34.575748Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.561945Z","title":"Zhang and C.-W","venue":null,"work_id":"a91c2175-b181-4867-9658-05e55cd50dc9","year":2004},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.423574Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:1613a076a69ec48638cb8aa83d9d1c1b2da2c2c65175a98b8d85128078c2f461","observation_id":"aab350dd-db43-4665-80b8-db44c8824703","resolution":{"observed_at":"2026-08-10T04:16:34.565284Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.551454Z","title":"Zhang and C.-W","venue":null,"work_id":"43bbfc3e-e12e-448a-9720-83de612f002e","year":2006},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.426837Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:4ff6fd03648bd5f5d61ff5ecefe49e4bde07fb66db3c36defafad81423edb4bc","observation_id":"5d626da7-5726-4635-bf14-efec6b97ede5","resolution":{"observed_at":"2026-08-10T04:16:34.554718Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+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":"2026-08-10T04:16:34.540124Z","title":"Zhang and C.-W","venue":null,"work_id":"06747eea-1116-453b-8bab-ea532e02dc1e","year":2010},"citing_paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-10T04:16:34.430166Z"},"links":{"citing_paper":"/paper/2608.06642"},"observation_digest":"sha256:9a8575f932344cad0494a8b6fef51a246980c9aa4ac2a93ee4c6643da513eae5","observation_id":"30d0ee2f-5bfe-45a0-9449-db86ab30b39a","resolution":{"observed_at":"2026-08-10T04:16:34.544024Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2608.06642","last_updated":"2026-08-06T23:20:39Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-11T02:10:23.100367Z","submitted_at":"2026-08-06T23:20:39Z","title":"The error estimate of entropy-stable discontinuous Galerkin methods for hyperbolic conservation laws"},"reference_resolution":{"displayed":39,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":17,"verified_exact":1,"verified_fuzzy":21},"total_outbound_references":39},"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":"2026-08-10T06:31:04.303077+00:00","source":"crossref"},{"observed_at":"2026-08-10T06:30:57.382061+00:00","source":"retraction_watch"}],"thesis":"As of 11 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2608.06642."}