{"as_of":"2026-08-08T04:46:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:1d04fa2444817257dfe254076fe91b278d88ad1e9a87884fe9de998fde6788d7","coverage":[{"denominator":86,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":86,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T10:53:32.775279Z","state":"measured"},{"denominator":87,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":87,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-07T06:34:17.273281+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":"2026-05-18T03:38:39.355343Z","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":"2026-05-18T03:40:50.470597Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"cited_work":{"arxiv_id":"2506.04157","doi":null,"metadata_source":"arxiv_reference","pith_arxiv_id":"2506.04157","snapshot_observed_at":"2026-06-05T21:23:00.469572Z","title":"Burkhart, N","venue":null,"work_id":"f8adcbb2-9f82-4839-820b-009630c95951","year":2025},"citing_paper":{"arxiv_id":"2510.25252","last_updated":"2026-04-21T09:03:39Z","snapshot_observed_at":"2026-07-06T22:34:23.736456Z","submitted_at":"2025-10-29T08:00:25Z","title":"Spectral analysis of the stiffness matrix sequence in the approximated Stokes equation","version":2},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-05-18T03:38:39.355343Z"},"links":{"cited_paper":"/paper/2506.04157","citing_paper":"/paper/2510.25252"},"observation_digest":"sha256:c837ae96112bfdedc89fa988fb883cb7e4f6c4fe607b2a162eb764fcd819c062","observation_id":"03507e1e-363e-41f8-80e6-1849c7d6d84d","resolution":{"observed_at":"2026-05-18T03:40:50.473464Z","resolver_source":"arxiv_id","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2506.04157/citation-record","integrity":"/paper/2506.04157/integrity","json":"/paper/2506.04157/citation-record.json","paper":"/paper/2506.04157"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggaa078","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:40.331239Z","title":"Geophysical Journal International 221(2), 1264–1280 (2020) https://doi.org/10.1093/gji/ggaa078","venue":null,"work_id":"0439e0c5-71d0-4a6f-a76d-2da261183998","year":2020},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:24.820247Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b0ce35c52f86b4cd920861475c711e8ca2777ef522d4fe7e9a563e9f3cd214a5","observation_id":"4bda718f-6680-4691-9f3d-5e5e9db9a888","resolution":{"observed_at":"2026-08-07T10:53:40.379023Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:24.956595Z","title":null,"venue":null,"work_id":null,"year":1903},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:24.956595Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:38d7f73179e875506a2939771e86f3026ec83cd99412ddc0214bb96a6d02c16f","observation_id":"a685d56f-968f-40fb-9b71-163a52f94834","resolution":{"observed_at":"2026-08-07T10:53:24.956595Z","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":"10.1017/s002211208000225x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:40.192517Z","title":"Journal of Fluid Mechanics 96(3), 515–583 (1980) https://doi","venue":null,"work_id":"f031e78d-3bc6-43a4-a1d8-625438b34cd5","year":1980},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.077793Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:589350242681cd7f59bbd82429c6a28a54b561be7d04462417275a04022bf753","observation_id":"cdfd30f7-8713-445e-8e45-24ae8fc6a091","resolution":{"observed_at":"2026-08-07T10:53:40.273881Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:25.203526Z","title":"Cambridge University Press, Cambridge (2001)","venue":null,"work_id":null,"year":2001},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.203526Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:469e1a5f2d5282753abe8b5b13241481c0288f5f46637fdfbb42033ae9134088","observation_id":"cf334a21-6615-4799-beb1-6dbcf7240ce2","resolution":{"observed_at":"2026-08-07T10:53:25.203526Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggx195","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:40.042120Z","title":"Geophysical Journal International 210(2), 833–851 (2017) https: //doi.org/10.1093/gji/ggx195","venue":null,"work_id":"f409e4c5-b37c-4044-8e6c-b1d21fecc9c4","year":2017},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.350224Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:6df4244e338909e77ba30f26fda4173deab46e2a057fece532f068b6c16fe682","observation_id":"b2292d4a-7404-4439-8ceb-823d6abffda4","resolution":{"observed_at":"2026-08-07T10:53:40.086800Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2012.05609","last_updated":"2020-12-10T11:51:23Z","snapshot_observed_at":"2026-08-03T22:42:00.244119Z","submitted_at":"2020-12-10T11:51:23Z","title":"Retinex-inspired Unrolling with Cooperative Prior Architecture Search for Low-light Image Enhancement","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2012.05609","snapshot_observed_at":"2026-08-07T10:53:25.539200Z","title":"Geophysical Journal International 191(1), 12–29 (2012) https://doi.org/10.1111/j.1365-246X.2012.05609.x 34","venue":null,"work_id":null,"year":2012},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.539200Z"},"links":{"cited_paper":"/paper/2012.05609","citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:d0e77155d520a4f9b96ec1d564c6411a0cb79c1d7c8d3a8369aefb2ba0727c97","observation_id":"1b0d10b5-e533-479e-bb42-71551d5b0ae1","resolution":{"observed_at":"2026-08-07T10:53:25.539200Z","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":"10.1093/gji/ggz036","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.907486Z","title":"Geophysical Journal International 217(1), 650– 667 (2019) https://doi.org/10.1093/gji/ggz036","venue":null,"work_id":"077dc9ab-5b89-4c11-8840-1185584a02d4","year":2019},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.689408Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:d522c13428bb9e1aba56aefad67cb2989156d4ae3af7c34d390ed97c6080fe32","observation_id":"890c0373-fa92-4735-bbc3-9b6dfc3609a6","resolution":{"observed_at":"2026-08-07T10:53:39.980205Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:25.841312Z","title":"Cambridge University Press, Cambridge (2004)","venue":null,"work_id":null,"year":2004},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.841312Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b69832b1c618225b57407a7f5c5dde617ee86ea2102fdb1eade4938cc3ea8df4","observation_id":"34ff3228-3b49-4945-93c9-5b647adfce47","resolution":{"observed_at":"2026-08-07T10:53:25.841312Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"0186.00211","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:41.583226Z","title":"Annual Review of Earth and Planetary Sciences 14, 377–415 (1986) https: //doi.org/10.1146/annurev.ea.14.050186.002113","venue":null,"work_id":"e915f9f2-cffc-48b8-9cd1-7a723a439bad","year":1986},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:25.986246Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:07190811290ce50b05d8bcbf0769e141e23d3279e370f3383396a32a4cde1f90","observation_id":"4183d26d-287c-4edc-84b7-97bb29c29bcd","resolution":{"observed_at":"2026-08-07T10:53:41.619548Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/s0031-9201(99)00133-8","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.810712Z","title":"Physics of the Earth and Planetary Interiors 118(1-2), 103–109 (2000) https://doi.org/10.1016/S0031-9201(99)00133-8","venue":null,"work_id":"7a8e6a9e-8456-4299-a4ba-4349fb893670","year":2000},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.137389Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:a229de905e6a00d92e7f3657ea33bb419d84dad5832a57ff95c36dc183fbb8c2","observation_id":"b004f045-6f65-4793-84f6-b2548d9bada3","resolution":{"observed_at":"2026-08-07T10:53:39.851773Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1146/annurev.ea.18.050190","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.694277Z","title":"Annual Review of Earth and Plane- tary Sciences 18, 357–386 (1990) https://doi.org/10.1146/annurev.ea.18.050190","venue":null,"work_id":"0fb9d1f5-80fc-4c21-abe3-1268fe2829c7","year":1990},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.293311Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b1871dee140699a96fd3897e4b9d29e81afbb1c7cf56dd9e8880b13e035222b1","observation_id":"00b3c3cf-7949-45b3-be58-4e3937761913","resolution":{"observed_at":"2026-08-07T10:53:39.800517Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/46758","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.489080Z","title":"Nature 401, 462–464 (1999) https: //doi.org/10.1038/46758","venue":null,"work_id":"76079464-38b2-4bbf-a927-caf4e9354467","year":1999},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.398130Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:3dc2ebe21578e840b750e1d27f2ca14ad57d2ee7259569eae6e17ecdb222f902","observation_id":"381f613b-b9ed-4edd-b5e0-5ddca549acef","resolution":{"observed_at":"2026-08-07T10:53:39.573428Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.gr.2017.07.005","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.329560Z","title":"Gondwana Research 53, 1–8 (2018) https://doi.org/10.1016/j.gr.2017.07.005","venue":null,"work_id":"c252e18c-fd19-4c42-8cc8-5b7827e1dde3","year":2018},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.482133Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:5e785c05b0d0e04a0263acd5ca0f3c3093e55d4e6208dbb7ab94b4bd0bdd196e","observation_id":"2d39b374-b672-4a9a-a8d9-318b1add1249","resolution":{"observed_at":"2026-08-07T10:53:39.425407Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggae178","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.150633Z","title":"Geophysical Journal International 238(2), 992–1012 (2024) https://doi.org/10.1093/gji/ggae178","venue":null,"work_id":"34916584-b1d9-4fa3-9a11-7e7ba20dede4","year":2024},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.551962Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:d9b7db5d123c7f261d514b7a555c6900a820c85e6bbe4ec30a8c39aa22725d21","observation_id":"c50ca887-f5c7-4bf8-a94e-ba1fd7f00be5","resolution":{"observed_at":"2026-08-07T10:53:39.232124Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggaa023","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:39.012039Z","title":"Geophysical Journal International 221(1), 617–639 (2020) https://doi.org/10.1093/gji/ggaa023","venue":null,"work_id":"baee6594-8ffc-4e6f-b366-420734c4cf99","year":2020},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.629321Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b3866dd8d9c08312604dced0f671b76155df52a29ae4320c5ec2efeb8017e905","observation_id":"8f8facbe-0710-4ae6-8178-d81977ab0418","resolution":{"observed_at":"2026-08-07T10:53:39.073969Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggac293","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:38.874514Z","title":"Geophysical Journal International 231(3), 1833–1849 (2022) https://doi.org/10.1093/gji/ggac293","venue":null,"work_id":"4611486c-6606-4caf-a72f-a1f0bbb7a6f1","year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.720438Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:833d03114160e77ba456385a5a7a4b3e450a5b38f8946608f1dd7cd8f9444f64","observation_id":"72648b66-60e2-4540-aab5-8c069ad6c50e","resolution":{"observed_at":"2026-08-07T10:53:38.945397Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/16m1106304","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:38.750050Z","title":"SIAM Journal on Matrix Analysis and Applications 39(2), 932–960 (2018) https://doi.org/10.1137/16M1106304","venue":null,"work_id":"74ff6ab0-f145-44b3-bdaa-526f1a5c3657","year":2018},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.813624Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:60d57a23b09cf0411036737eb5252e200b21fc3a223fd75d267b2af78306d685","observation_id":"cf047761-eb41-41d6-a29c-76e18d4b96c8","resolution":{"observed_at":"2026-08-07T10:53:38.813018Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:26.915089Z","title":"SIAM Jour- nal on Scientific Computing 46(3), 1599–1627 (2024) https://doi.org/10.1137/ 22M1504184","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:26.915089Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:46e909424fa3ece8d3b6ef2bbaef765dca5193f129c3844f3badf193ddd856e1","observation_id":"3df49ced-e8a0-439e-bf1a-22a73c3e06b5","resolution":{"observed_at":"2026-08-07T10:53:26.915089Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:27.006808Z","title":"Journal of Compu- tational Science 63, 101804 (2022) https://doi.org/10.1016/j.jocs.2022.101804","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.006808Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:2efcc54a60b713332993190b262fbb4c2785d0c84d0a11234d50c2498ab90d90","observation_id":"9ad522a0-7209-4f06-927b-df3114b62b58","resolution":{"observed_at":"2026-08-07T10:53:27.006808Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:27.102330Z","title":"SIAM Journal on Scientific Computing 14(2), 461–469 (1993) https://doi.org/10.1137/ 0914028","venue":null,"work_id":null,"year":1993},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.102330Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:6307b25a35442129a02430a0d65a985ff4a28231c3344a0069d2b93911200146","observation_id":"9d501015-cf8b-4500-812d-b53f060e845d","resolution":{"observed_at":"2026-08-07T10:53:27.102330Z","resolver_source":null,"status":"malformed_identifier"},"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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:27.185168Z","title":"International Journal of Parallel, Emergent and Distributed Systems 34(5), 477–496 (2019) https:// doi.org/10.1080/17445760.2018.1506453","venue":null,"work_id":null,"year":2019},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.185168Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:69e7352781b87dff6fbcf217b5352333c15597fb51986e0d604878e8079bf331","observation_id":"4cf3d9db-f121-4a7e-9d9e-c156b501b2d9","resolution":{"observed_at":"2026-08-07T10:53:27.185168Z","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":"10.1007/978-3-030-47956-5","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"In: Bungartz, H.-J., Reiz, S., Uekermann, B., Neumann, P., Nagel, W.E","venue":"Lecture notes in computational science and engineering","work_id":"b770b1bf-e7fb-406a-a681-8d14340fae16","year":2020},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.290665Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:2cd9bbc80d98a416609d800232826457b5a9f2666af92afb371947b788bc726c","observation_id":"50bf2cc1-7264-4485-9db3-795aa9ad52d4","resolution":{"observed_at":"2026-08-07T10:53:38.656733Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2008.03745","last_updated":"2020-08-09T15:29:01Z","snapshot_observed_at":"2026-07-06T09:45:42.002477Z","submitted_at":"2020-08-09T15:29:01Z","title":"Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure","version":1},"cited_work":{"arxiv_id":"2008.03745","doi":null,"metadata_source":"pith","pith_arxiv_id":"2008.03745","snapshot_observed_at":"2026-08-07T10:53:41.216040Z","title":"Modification of quantum many-body relaxation by perturbations exhibiting a banded matrix structure","venue":"cond-mat.stat-mech","work_id":"4d3c65cb-9137-4228-ae57-8af4d4b8a1df","year":2020},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.375980Z"},"links":{"cited_paper":"/paper/2008.03745","citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b279ddd9eb9074e3adcefaa5981a485bfe627c147a433131730201e568af30fd","observation_id":"9cc257c4-fcdb-4bac-b4b6-f617f59fa362","resolution":{"observed_at":"2026-08-07T10:53:41.301065Z","resolver_source":"local_arxiv","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2009.04413","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:41.108881Z","title":"Geophysical Journal International 180(1), 73–87 (2010) https://doi.org/10.1111/j.1365-246X.2009.04413.x","venue":null,"work_id":"cca6844f-cea1-4d46-957f-518850e3f102","year":2010},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.461913Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b2f6915c73517c85524d2443cca73b7b4273acbcbe396676e7192069c4bc3f24","observation_id":"2e43961a-f5bf-49d0-9188-cc119a051901","resolution":{"observed_at":"2026-08-07T10:53:41.145071Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5194/se-13-1127-2022","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:38.444680Z","title":"Solid Earth 13(7), 1127–1159 (2022) https://doi.org/ 10.5194/se-13-1127-2022","venue":null,"work_id":"d6d05579-0a9d-4789-bd8f-e347a4638bb3","year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.526328Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:4dae81d99112c3cba0691dbf7cdf8c5819d76f4791edbbb2ff57d54bdc2fb4f2","observation_id":"c4aa32c5-a21c-46ac-836a-529ebca79fb0","resolution":{"observed_at":"2026-08-07T10:53:38.519002Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:27.591147Z","title":"SIAM Jour- nal on Scientific Computing 44(3), 260–285 (2022) https://doi.org/10.1137/ 21M1402510","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.591147Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:53f519191523d5322dc3fc2694d57d61e144400b443b363c49f198ebab566659","observation_id":"f8a20ac2-13f8-42bc-b49e-9f45daebb3d8","resolution":{"observed_at":"2026-08-07T10:53:27.591147Z","resolver_source":null,"status":"malformed_identifier"},"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":"2026-08-07T10:53:43.635802Z","title":"Stiff and Differential-Algebraic Problems","venue":null,"work_id":"c4936205-6a8b-4095-a3bc-72f116e2ee6c","year":1996},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.663301Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:7d71d7c931a1c26762e102e085f19e44093f2e161a91d313fc7a003e999ab77a","observation_id":"bbb2a127-0555-47c9-85ef-6dc44e9ed756","resolution":{"observed_at":"2026-08-07T10:53:43.738255Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02935787","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:38.285630Z","title":"Journal of Applied Mathematics and Computing 19(1), 33– 55 (2005) https://doi.org/10.1007/BF02935787","venue":null,"work_id":"80edf887-901e-47ac-b1ee-66b99a215fe0","year":2005},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.755777Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:875d65c8b8f5acf0cb1c9f63f673d6c1588b9176d6f1df87b12e6442e5bd79d2","observation_id":"a4bed94c-8c6f-4840-b109-1646dc0299f7","resolution":{"observed_at":"2026-08-07T10:53:38.367794Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02510406","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:38.161827Z","title":"BIT Numerical Mathematics 38(4), 644–662 (1998) https: //doi.org/10.1007/BF02510406","venue":null,"work_id":"bfa9abb8-6f59-4d05-8493-6a2310044b71","year":1998},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.873582Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:0ac5f92f6ae2e97d2bd4301ab1c8eb8c976f1d9e5529fc2dc664871796417ecf","observation_id":"ec9f5b6c-1576-4b31-aa50-c54e47230527","resolution":{"observed_at":"2026-08-07T10:53:38.225733Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1029/2020gc009349","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:38.020116Z","title":"Geochemistry, Geophysics, Geosystems 22(4) (2021) https://doi.org/10.1029/2020GC009349","venue":null,"work_id":"0d01bb8b-427f-42ee-8b0e-6b2499c13752","year":2021},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:27.936985Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:601b3c75f2c235fd648cc76257d9b26010071417ca282c2d821684ce33f3e752","observation_id":"d70c1d05-001d-4d1a-ab67-48bb7519d065","resolution":{"observed_at":"2026-08-07T10:53:38.088244Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:43.488791Z","title":"Geochemistry, Geophysics, Geosystems 23(2) (2022) https://doi.org/10","venue":null,"work_id":"4b4fe859-af3c-48be-ba4e-868ba3864d89","year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.024247Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:77f960de0391a8a7b63f901b11a66aba10cc754ada024bd74502107769b15f86","observation_id":"8fd1af06-e360-42d5-8dda-605134c26205","resolution":{"observed_at":"2026-08-07T10:53:43.551267Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:43.335895Z","title":"Computational Geosciences 22(6), 1487–1502 (2018) https://doi.org/10.1007/ s10596-018-9767-z","venue":null,"work_id":"7e0b4147-24ea-4d66-a3f2-85207c716d5b","year":2018},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.095665Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:2f38fce552f9c9d9051f4def5a6c0cfd6ac0869295ca2ee63a45d15258cb1c9a","observation_id":"8cea4c1a-1c8c-4df1-bd4a-8f467937f608","resolution":{"observed_at":"2026-08-07T10:53:43.413030Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:28.156693Z","title":"Computer Methods in Applied Mechanics and Engi- neering 32(1-3), 199–259 (1982) https://doi.org/10.1016/0045-7825(82)90071-8","venue":null,"work_id":null,"year":1982},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.156693Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:17a28b7209edf612a459d14f43d6f5fe21e2b2096fb8b10f919a2d060efa1926","observation_id":"f436bdbf-18fc-44e7-aa7a-9a54e452833f","resolution":{"observed_at":"2026-08-07T10:53:28.156693Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:28.249680Z","title":"Journal of Computational Physics 230(11), 4248–4267 (2011) https://doi.org/10.1016/j.jcp.2010.11.043","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.249680Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:1446a505606a4e5534fabc49eae7e0590fb4f46587dec4c042dd180c51aa2372","observation_id":"bc45d599-b9dc-4a4a-9424-d5340cdc8151","resolution":{"observed_at":"2026-08-07T10:53:28.249680Z","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":null,"pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:28.325439Z","title":"Springer Series in Computational Mathematics, vol","venue":null,"work_id":null,"year":2008},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.325439Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:998a04b7b95a4905eed4497395cd63bdb61255858df0eaf7fc6e81fc53e6fc02","observation_id":"6bc51583-135c-4385-a013-3d6cdd91c07d","resolution":{"observed_at":"2026-08-07T10:53:28.325439Z","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":"10.1002/nla.382","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:37.844407Z","title":"Numerical Linear Algebra with Applications 11(2-3), 279–291 (2004) https://doi.org/10.1002/nla.382","venue":null,"work_id":"f994903a-ecc1-4e35-ad7e-f5dc0deec120","year":2004},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.388938Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:3d1f28bbc67dac991df7e8d7967c85be216225e250ca56f60892a45d88044101","observation_id":"a1339c6f-fb3f-445a-b15f-6d84497c5f32","resolution":{"observed_at":"2026-08-07T10:53:37.905346Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/mcse.2006.102","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:37.697833Z","title":"Computing in Science & Engineering 8(6), 56–62 (2006) https://doi.org/10.1109/MCSE.2006.102 37","venue":null,"work_id":"d2e1c4ac-62d5-45f2-8c17-2d0fc3216f13","year":2006},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.482747Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:1910e0e7587ff3cb2900dba1feaf06070a4888ea090c23c14a5f67a19fae2155","observation_id":"e5a0ee29-9393-4e75-9d72-d68607cb759a","resolution":{"observed_at":"2026-08-07T10:53:37.765086Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1109/ispdc.2012","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:37.516946Z","title":"In: 2012 11th International Symposium on Parallel and Distributed Computing","venue":null,"work_id":"75ac6de7-946e-41eb-a3bc-70fde0c9b8b2","year":2012},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.545506Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:4e2f25ffdf6a1c0c45271e5068b5bdbd24b6b9e58d049fccb6285c81049d8e75","observation_id":"38bc3310-e362-48b3-b250-7536f44803f3","resolution":{"observed_at":"2026-08-07T10:53:37.602863Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/cpe.2968","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:37.353865Z","title":"Concurrency and Computation: Practice and Experience 26(1), 217–240 (2014) https://doi.org/10.1002/cpe.2968","venue":null,"work_id":"43dd3930-957f-43b4-9710-8ae13dcd0231","year":2014},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.621148Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ce19323b9e4dc551ed176471fc4ecc577c3df3ffa3d38d2eab1160fd2fccf90e","observation_id":"0e4a34b8-82e9-4655-9c11-8a24d253e059","resolution":{"observed_at":"2026-08-07T10:53:37.417228Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:43.207715Z","title":"SIAM Journal on Scientific Computing 37(2), 143–168 (2015) https://doi.org/10.1137/ 130941353","venue":null,"work_id":"fc22785e-d89c-46e4-b700-927f983124d0","year":2015},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.691296Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ea028b8b067d700e16fb0d584eb57be5fe9fe461893d6ba270c17c9ca6ed1513","observation_id":"89ca9172-958d-42a1-945f-07e3e5c96bbc","resolution":{"observed_at":"2026-08-07T10:53:43.267034Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:43.057891Z","title":"PhD thesis, Friedrich-Alexander-Universit¨ at Erlangen-N¨ urnberg (2015)","venue":null,"work_id":"5c6cdc73-cbe5-4b0d-b039-b9000c97d6e7","year":2015},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.764844Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ec1d35af0df7633d637d424d2d11319dcb6de8e8e7c4eaa87822fc58c68adcb8","observation_id":"1c3c416e-22e2-49f0-916f-eb53f96ad96e","resolution":{"observed_at":"2026-08-07T10:53:43.116227Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jocs.2016.06.006","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:37.196943Z","title":"Journal of Computational Science 17(3), 509–521 (2016) https://doi.org/10.1016/j.jocs.2016.06.006","venue":null,"work_id":"cd50c909-c124-4cfb-98e7-a8518aa9aa19","year":2016},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.820507Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:f9e426b5488f735b94104107d4938afd3c8bc18c9e67e28ef3a376e0281621a2","observation_id":"3bdf554f-1e3f-40d0-9cf5-2aef843aa727","resolution":{"observed_at":"2026-08-07T10:53:37.282037Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/bf02238487","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:37.080784Z","title":"Computing 55(4), 355–378 (1995) https: //doi.org/10.1007/BF02238487","venue":null,"work_id":"d7cca388-0d67-4dd7-912a-1a0f27cbd3fe","year":1995},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.869470Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:e8d5a42fa21e305c1c4c242bc67970ab5a16f3564a3e51e2f0d53cefce3a3772","observation_id":"056aa13c-f06f-4ec5-9268-3b88061c689e","resolution":{"observed_at":"2026-08-07T10:53:37.128145Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:28.944151Z","title":"Computers & Fluids 1(1), 73–100 (1973) https: //doi.org/10.1016/0045-7930(73)90027-3","venue":null,"work_id":null,"year":1973},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:28.944151Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:3c172eb6630c6ab244188c8c528edb4bad75580b1cfbbfdaab44116055bdf0e0","observation_id":"1a099d47-4f5c-429e-a4bc-d012da9e677b","resolution":{"observed_at":"2026-08-07T10:53:28.944151Z","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":"an/1984180","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:40.942829Z","title":null,"venue":null,"work_id":"e48b3883-63e5-431a-9faa-4f15a4f48e5f","year":1984},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.007616Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:a36f5b6d4b7494aa946435062fa7e15a359841fa4c8dde666ba804632b199024","observation_id":"118c0bd7-2943-4330-80ad-f5a29d489272","resolution":{"observed_at":"2026-08-07T10:53:40.994420Z","resolver_source":"raw_fallback","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:29.089709Z","title":"Springer Series in Computational Mathematics, vol","venue":null,"work_id":null,"year":1986},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.089709Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:c9bf58001c17be7982bc49ed1a1640bb1b5d3bee834968a9dc06e3d303d31077","observation_id":"d31ed88f-a3c7-4864-840e-f510b1ceac07","resolution":{"observed_at":"2026-08-07T10:53:29.089709Z","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":"2026-08-07T10:53:42.915775Z","title":"Applied Math- ematical Sciences, vol","venue":null,"work_id":"f722b7ea-295e-46a1-93a1-28daac7d0aee","year":2004},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.177648Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:480f76e55611ec2b73c9c57bfcdc9175c8a1a7205ee90fbcc1fb45a1ec169d07","observation_id":"b7adcf38-5212-48a0-9396-55f5908fcb8f","resolution":{"observed_at":"2026-08-07T10:53:42.980704Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:42.801051Z","title":"Solid Earth 13(1), 229–249 (2022) https://doi.org/10.5194/ se-13-229-2022","venue":null,"work_id":"dbd9b10c-dda9-4e6d-b129-6ff58d46c627","year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":48,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.277438Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:4db81d67c3fd3c8dc1abae5ead79af996f4939c932bc1c73523989b5f37632cd","observation_id":"0b209e97-6963-44fb-b50d-077565d84e46","resolution":{"observed_at":"2026-08-07T10:53:42.844478Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:42.631958Z","title":"Lecture Notes in Mathematics, vol","venue":null,"work_id":"295c3f8b-8475-4022-8ed4-5202c77f6bc7","year":2008},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":49,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.370044Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:9e0d6fba4b80dc5a4b8f1338a4d9abcafc81aec7b7b6007cf956314e2370ffb3","observation_id":"7bd96b14-41a2-48ba-9325-806ad2d7db06","resolution":{"observed_at":"2026-08-07T10:53:42.694459Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/24m1653756","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:36.929813Z","title":"SIAM Journal on Scientific Computing 47(1), 131–159 (2025) https://doi.org/10.1137/24M1653756","venue":null,"work_id":"a1406d55-5627-4d27-b088-c8b567110341","year":2025},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":50,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.459739Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ba9bd048b89b66c943e6f5584190a60e215b151e7e403be20e91ab0f27f7f197","observation_id":"931ca388-b7a3-4a23-b84c-80c7fb76153b","resolution":{"observed_at":"2026-08-07T10:53:36.994344Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/0731085","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:36.770147Z","title":"SIAM Journal on Numerical Analysis 31(6), 1645–1661 (1994) https://doi.org/10.1137/0731085","venue":null,"work_id":"60c17dac-e636-45b7-99a6-64e489a3db3b","year":1994},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":51,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.513593Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:393de7ef6d80f182dbaf2c00ec8721c4a56d57ba5a51b47eaf9a27960e31a925","observation_id":"8f24e628-ba5b-4347-996f-aad341f9a789","resolution":{"observed_at":"2026-08-07T10:53:36.857066Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:42.432852Z","title":"In: NIC Symposium 2020","venue":null,"work_id":"b9a9f3c3-3390-40ba-a061-465688ff4425","year":2020},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":52,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.625975Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:3e1412cb492c16807f330470037426588f9debefee7f9255fecf479e3b7a5aa2","observation_id":"dee60ff1-b4d6-4782-9938-8dcb99938115","resolution":{"observed_at":"2026-08-07T10:53:42.515416Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":"2008.52142","doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:40.765987Z","title":"In: SC ’08: Proceedings of the 2008 ACM/IEEE Conference on Supercomputing, pp","venue":null,"work_id":"1c2aacba-daca-4a9c-b302-066389cef37b","year":2008},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":53,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.749882Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:50f8175cfc1018ae9f149b5e4865d4c8e6956fe4ef81a5e3df8c30d11eca9725","observation_id":"fdd1ba4b-582a-4bdb-930a-84a544905e1a","resolution":{"observed_at":"2026-08-07T10:53:40.812695Z","resolver_source":"raw_fallback","status":"metadata_mismatch"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1029/2009gc002526","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:36.607862Z","title":"Geochemistry, Geophysics, Geosystems 10(9) (2009) https: //doi.org/10.1029/2009GC002526","venue":null,"work_id":"525394aa-a09c-4c96-aa99-fff0da686aef","year":2009},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":54,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:29.893198Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:007381f3545dd175057963a978964f8c38be2b0498cba890ef2695e062c8fd7b","observation_id":"c021913c-cab2-44bb-acfe-dffbe0af1ead","resolution":{"observed_at":"2026-08-07T10:53:36.697112Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.cma.2008.12.015","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:36.442790Z","title":"Com- puter Methods in Applied Mechanics and Engineering 198(21-26), 1691–1700 (2009) https://doi.org/10.1016/j.cma.2008.12.015","venue":null,"work_id":"7e7b5c0f-f2bd-451f-9043-629f432cb6eb","year":2009},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":55,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.007232Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:e12968bf67978746c01b8240c3b98c9bf6a41c095aa3b2d45661704450cddf97","observation_id":"4d253c1f-f177-4df7-8488-bf93bf5c394a","resolution":{"observed_at":"2026-08-07T10:53:36.508804Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2011.09.007","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:36.284719Z","title":"Journal of Computational Physics 230(24), 8835–8851 (2011) https: //doi.org/10.1016/j.jcp.2011.09.007","venue":null,"work_id":"66e51257-9165-4ee2-963a-3486bb8e189b","year":2011},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":56,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.137329Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:a0be6218632ab935201b4920000b8bcec74fbc0c83f98029bc9cfe62f033ab42","observation_id":"22521c34-f9b6-448b-925f-fa5751dd94d5","resolution":{"observed_at":"2026-08-07T10:53:36.364600Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggs070","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:36.137147Z","title":"Geophysical Journal International 192(3), 889–906 (2013) https://doi.org/10.1093/gji/ggs070","venue":null,"work_id":"ea4e0944-cc7e-4eb7-bc7a-faf5e7fb5b5e","year":2013},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":57,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.291237Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:521b1b5f8b4296dabedc8c924e9cd1c74e1cd0e834cdb72c4e57aba13e677196","observation_id":"64a9a09c-79ef-4e85-b340-9f26a4f64eb2","resolution":{"observed_at":"2026-08-07T10:53:36.205904Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.cma.2015.03.014","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:35.984259Z","title":"Computer Methods in Applied Mechanics and Engineering 290, 496–523 (2015) https: 39 //doi.org/10.1016/j.cma.2015.03.014","venue":null,"work_id":"008b6f50-93c0-4253-bbf2-bf457c7825f1","year":2015},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":58,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.439164Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:6a5fd512da33acd6de79cb7b6c240578b3dac37a4910b5a8cd1161860add3817","observation_id":"bcd8841f-eefe-460e-a7cf-3a1186d296ff","resolution":{"observed_at":"2026-08-07T10:53:36.066832Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/140974407","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:35.831227Z","title":"SIAM Journal on Scientific Computing 37(6), 804–833 (2015) https://doi.org/10.1137/140974407","venue":null,"work_id":"03d26e0b-a4c7-4e56-a54b-4cc4c70ada7d","year":2015},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":59,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.551072Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:cb7580755c9f753ec739bf2deaf3c6682eefc2123dfa7c4ce56f3d5ef340268f","observation_id":"71d52ae8-7270-419b-aa36-8f0cc492fbe5","resolution":{"observed_at":"2026-08-07T10:53:35.921054Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/imanum/4.4.441","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:35.651941Z","title":"IMA Journal of Numerical Analysis 4(4), 441–455 (1984) https://doi.org/10.1093/imanum/4.4.441","venue":null,"work_id":"492eece3-9c5c-4039-8f6d-5a29460591f7","year":1984},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":60,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.643823Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ea6b740feb53af6673231e5f984bb2c40b99af13128c8cb94b5cacc2b60b4fdd","observation_id":"c254f935-77f7-4f45-ac89-d0d631cc3d42","resolution":{"observed_at":"2026-08-07T10:53:35.737363Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/08744803","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:35.458443Z","title":"SIAM Journal on Scientific Computing 31(5), 3959–3978 (2009) https://doi.org/10.1137/08744803","venue":null,"work_id":"4af2c2e9-1af9-41ae-8d2c-3d2d33aaafca","year":2009},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":61,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.729569Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:92ad29c6e6a657653e90998be69662545141066febf5877ea54f86c3b298c7aa","observation_id":"414c3676-2c60-4e58-820f-c57a6f451bbe","resolution":{"observed_at":"2026-08-07T10:53:35.549437Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:30.818898Z","title":"In: SC ’15: Proceedings of the International Conference for High Performance Computing, Networking, Storage and Analysis","venue":null,"work_id":null,"year":2015},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":62,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.818898Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:3427f25a7fe7d5fb479ce270ac2817fc2990586f61232235fb3fd5b2f6fa4cbe","observation_id":"e7d3af30-b79b-4407-aebf-3cc734b14728","resolution":{"observed_at":"2026-08-07T10:53:30.818898Z","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":"10.1137/16m108450x","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:35.319838Z","title":"SIAM Journal on Scientific Computing 39(5), 272–297 (2017) https://doi.org/10.1137/16M108450X","venue":null,"work_id":"9d91abea-e69b-49d9-b44d-69e65533c6d9","year":2017},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":63,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.909169Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:c569e249bd1851a6bce5aec2585762c856825e562382cd9effe699eabe6cd22d","observation_id":"6c4247c7-c17b-4143-a52f-f9f691b7ff6d","resolution":{"observed_at":"2026-08-07T10:53:35.376989Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1137/s1064827596312547","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:35.149040Z","title":"SIAM Journal on Scientific Computing 20(4), 1299–1316 (1999) https://doi.org/10.1137/S1064827596312547","venue":null,"work_id":"7afa4e92-e07d-41a6-b5e8-e3bd7375cba3","year":1999},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":64,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:30.993529Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:526ec35752b36e91fcb0052fb5049e6efdec2c63f6e2cdc0b4ea6c1f54c8a16f","observation_id":"6c3559f5-b348-4ca7-82cc-0208de7619a3","resolution":{"observed_at":"2026-08-07T10:53:35.211958Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:31.104506Z","title":"Oxford University Press, New York (2005)","venue":null,"work_id":null,"year":2005},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":65,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.104506Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b4b16301b1c775638e66b03f26bbd8e8c02f607ce95afc46d888c2603b651a4d","observation_id":"d0ab23f9-f63c-4b00-9592-b3b402db3af8","resolution":{"observed_at":"2026-08-07T10:53:31.104506Z","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":"10.1137/040608817","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:34.959223Z","title":"SIAM Journal on Scientific Computing 27(5), 1651–1668 (2006) https://doi.org/10.1137/040608817","venue":null,"work_id":"48971373-fac6-40b5-bf51-1b858240be93","year":2006},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":66,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.199762Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:b955cd947cb66df287b0c6ea09a840e57fda407bffc91ddc126cd435f6cbee19","observation_id":"b327d202-da59-4ba5-9df8-898dbaf14c86","resolution":{"observed_at":"2026-08-07T10:53:35.051345Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.pepi.2008.07.036","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:34.780061Z","title":"Physics of the Earth and Planetary Interiors 171(1-4), 33–47 (2008) https://doi.org/10.1016/j.pepi.2008.07.036","venue":null,"work_id":"47f2135b-009f-4ef8-9dc5-7769870847eb","year":2008},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":67,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.264515Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:5f045e3f8540cd974b2601b45bb0ed4776423b7d3129a0aa2d93d659126451b6","observation_id":"9aa57cad-7a2a-4a8a-b8b3-dea4a0d14c14","resolution":{"observed_at":"2026-08-07T10:53:34.864310Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.jcp.2015.10.044","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:34.633431Z","title":"Journal of Computational Physics 305, 319–332 (2016) https://doi.org/10.1016/j.jcp.2015.10.044 40","venue":null,"work_id":"20b3d18f-124c-4f4b-a716-af83d2b0e98e","year":2016},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":68,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.335358Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:5764005ae504b3d3ddd07077a3619c2e7ac01c6e6dbdd30ca687b30b32f04966","observation_id":"c102cc5e-7ee5-417a-8663-c4a6a623dd2b","resolution":{"observed_at":"2026-08-07T10:53:34.695865Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:42.290860Z","title":"Geochemistry, Geophysics, Geosystems 23(11) (2022) https://doi.org/10.1029/ 2022GC010514","venue":null,"work_id":"71127dcb-cbf5-4e29-bffd-64910270d560","year":2022},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":69,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.420881Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:422b735c68a59dc8f0d07386814e18e275be1bb2a58225195c31ac21f3086454","observation_id":"5deec9b5-5d81-45c6-91b9-65ba0453d6a0","resolution":{"observed_at":"2026-08-07T10:53:42.361629Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1029/2018gc007584","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:34.474673Z","title":"Geochemistry, Geophysics, Geosystems 19(7), 2243–2261 (2018) https://doi.org/10.1029/2018GC007584","venue":null,"work_id":"67be665c-17be-4a6c-9af5-d18fe4e650c7","year":2018},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":70,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.482433Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:a7e1c1e3ae3f1f1fd7d7548e72e90781c5c218eae157b0d84b2f40d47d9e83ec","observation_id":"4bfecf72-fc01-46e7-8835-19889c8b610e","resolution":{"observed_at":"2026-08-07T10:53:34.541627Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1007/11847366","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"In: Gerndt, M., Kranzlm¨ uller, D","venue":"Lecture notes in computer science","work_id":"9b28e3d0-18f1-47f8-8749-4cf6265a8579","year":2006},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":71,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.565398Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:041d2c80278a6fd5fbf14f92adbb1ae702de587cebf6262db5b57694c0d39114","observation_id":"3eda580b-9630-4e0c-98ef-ca6ac7bd287f","resolution":{"observed_at":"2026-08-07T10:53:34.378525Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/b978-044452748-6.00115-2","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:34.168888Z","title":"In: Schubert, G","venue":null,"work_id":"369f22d9-4434-4c36-9a9e-fd650412c07e","year":2007},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":72,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.641881Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ef3598f8214ac9893d71eb793cee0d735d71c8e54a1596400d036f4438706237","observation_id":"4f017085-57f9-45f1-984f-88e187ff0bd3","resolution":{"observed_at":"2026-08-07T10:53:34.233251Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:42.131892Z","title":"Physics of the Earth and Planetary Interiors 25(4), 297–356 (1981) https://doi.org/10","venue":null,"work_id":"28d0a35f-29c7-4719-a6da-cd1d472e7ef5","year":1981},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":73,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.729639Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:221bba41f9a2be7c51b7a11885a816fce237858a389f99d7cfff19f38cce0f6b","observation_id":"75fee270-312b-46ea-b280-c75f415d2ca9","resolution":{"observed_at":"2026-08-07T10:53:42.203025Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1038/46696","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:34.015881Z","title":"Nature 401(6752), 432–433 (1999) https://doi.org/10.1038/46696","venue":null,"work_id":"9a349ee0-f910-448e-b05e-7706f53b9053","year":1999},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":74,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.792953Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ad0e6198e9942da80463bf8a291f84e1338fbd1a279424c6b9960f86aaaa5862","observation_id":"e4981d94-88c8-4d74-b720-fe0be7bd4bf2","resolution":{"observed_at":"2026-08-07T10:53:34.099903Z","resolver_source":"doi_truncated","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:41.958388Z","title":"Chemical Geology 70(1-2), 62 (1988) https://doi.org/10.1016/ 0009-2541(88)90364-6","venue":null,"work_id":"7cc82066-0c4e-4801-8255-83f9b3cd4260","year":1988},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":75,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.886525Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:0cc41202f992d562ead17fb8b8ba4a50a01ae66e7695221586044ae9dd53a206","observation_id":"f6cfbbfe-3c7a-4b84-98ee-71a678341ebb","resolution":{"observed_at":"2026-08-07T10:53:42.035071Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1016/j.pepi.2004.02.003","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:33.861785Z","title":"Physics of the Earth and Planetary Interiors142(3-4), 137–184 (2004) https://doi.org/10.1016/j.pepi.2004.02.003","venue":null,"work_id":"797e23ae-abf4-4381-a1d4-ccb87ccedee3","year":2004},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":76,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:31.958470Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:ff9ef81dcbf893fec5c246b5efb33e2790769c229217b33f81a6988a00aee6d7","observation_id":"e12a219b-59b4-45cf-acf9-28ebb33d36f9","resolution":{"observed_at":"2026-08-07T10:53:33.941231Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:32.026778Z","title":"Physical Review B 65, 165118 (2002) https://doi.org/10.1103/PhysRevB","venue":null,"work_id":null,"year":2002},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":77,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.026778Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:46ae93ce1cd5a6206b3f5b79bd6c7ae9d789fd459869de17e344f760224a2c4f","observation_id":"5888272d-05a1-498e-b2fa-03e09ce5e966","resolution":{"observed_at":"2026-08-07T10:53:32.026778Z","resolver_source":null,"status":"malformed_identifier"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/2014gl059385","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Geophysical Research Letters41(8), 2746–2752 (2014) https://doi.org/10.1002/2014GL059385","venue":"Geophysical Research Letters","work_id":"498a6745-1ef8-473d-bd18-38e011bd2906","year":2014},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":78,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.095989Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:4c3943474a5600a27a2e359379502a12ede810882eb396dc516b02a10dfebc88","observation_id":"9d6b11c0-f77a-42a8-ac17-12d4b60ab437","resolution":{"observed_at":"2026-08-07T10:53:33.770704Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1080/03091929408203646","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:33.560449Z","title":"Geophysical & Astrophysical Fluid Dynamics 75(1), 41 39–59 (1994) https://doi.org/10.1080/03091929408203646","venue":null,"work_id":"306729f7-2c21-49b8-aa90-3ca96f9b4e2d","year":1994},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":79,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.183846Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:947f56caf13dcd457d5ed2dcd7a3a795c4156cf68a7d5a34e55ebcc908ec4767","observation_id":"2dd065c4-b8ff-4a74-bc7c-f572d197b12e","resolution":{"observed_at":"2026-08-07T10:53:33.628717Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:41.840008Z","title":"Geochem- istry, Geophysics, Geosystems 20(5), 2378–2394 (2019) https://doi.org/10.1029/ 2019GC008187","venue":null,"work_id":"ec4e057d-cb26-40a4-aa41-f965178712e8","year":2019},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":80,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.268891Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:5b7caa9424020ae6be83d3e5773934a7d9dd4aec2f345d12f792e9b0f0ae9c58","observation_id":"41e08c90-1286-4917-8f05-b09d64efe81b","resolution":{"observed_at":"2026-08-07T10:53:41.891870Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1093/gji/ggw329","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:33.400733Z","title":"Geophysical Journal International 207(3), 1343–1366 (2016) https://doi.org/10.1093/gji/ggw329","venue":null,"work_id":"dc86da9d-1c81-4fd2-81aa-8244e80090ed","year":2016},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":81,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.339736Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:77855af855094ac912064628a94be2210d095c45e8c5bdcf1169cc276140d44f","observation_id":"ddca911b-3211-4431-a2e1-d98300885bb1","resolution":{"observed_at":"2026-08-07T10:53:33.482515Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+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":"2026-08-07T10:53:41.712834Z","title":"Geophysical Journal International 98(1), 23–38 (1989) https://doi.org/10.1111/ j.1365-246X.1989.tb05511.x","venue":null,"work_id":"4d6c0666-c101-44c0-8fb1-aa6a32f998c7","year":1989},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":82,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.438867Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:3ec62c4fdd628e3723bce927ee80850e9ae3c4ef6e93e306244b12ab19201abc","observation_id":"a2385e50-ada6-4073-bc46-73baf6304562","resolution":{"observed_at":"2026-08-07T10:53:41.772394Z","resolver_source":"raw_fallback","status":"malformed_identifier"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.1002/2017jb014501","metadata_source":"openalex","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-08T00:03:56.115653Z","title":"Journal of Geophysical Research: Solid Earth 122(12), 9881–9920 (2017) https: //doi.org/10.1002/2017JB014501","venue":"Journal of Geophysical Research Solid Earth","work_id":"2ae6fc43-15ca-466e-9ae5-48d118060330","year":2017},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":83,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.533734Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:c4a5688e91dfdc93752c5f2f86a895c933ba61e06d1d69842ec346bc6d1781d6","observation_id":"cbc5a57b-f7ee-40ee-a469-dedc41d13a78","resolution":{"observed_at":"2026-08-07T10:53:33.302736Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2010.04890","last_updated":"2020-10-10T03:27:09Z","snapshot_observed_at":"2026-08-06T08:12:28.035272Z","submitted_at":"2020-10-10T03:27:09Z","title":"Rare-Event Simulation for Neural Network and Random Forest Predictors","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2010.04890","snapshot_observed_at":"2026-08-07T10:53:32.602705Z","title":"Phase equilibria","venue":null,"work_id":null,"year":2011},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":84,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.602705Z"},"links":{"cited_paper":"/paper/2010.04890","citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:5e635e5d261d20b9f9ab9ad12c84bdba5c2112a475a7a29bd0227430b893e8e8","observation_id":"fda4243f-8fcf-4cf8-b052-66e807c30d55","resolution":{"observed_at":"2026-08-07T10:53:32.602705Z","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":"10.1038/nature11004","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:33.050806Z","title":"Nature 485(7396), 90–94 (2012) https://doi.org/10.1038/nature11004","venue":null,"work_id":"47a83b9b-e93e-4098-8751-e2f8226808df","year":2012},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":85,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.681038Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:821c1e3a5a50f0ba4acb8029a28f3932f6aafff227a2ec3772b496f2690c25b6","observation_id":"48d6eada-8a63-4ea4-bca3-76a3ac9e7bc6","resolution":{"observed_at":"2026-08-07T10:53:33.147208Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":"10.5282/edoc.19152","metadata_source":"doi_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T10:53:32.899284Z","title":"PhD thesis, Ludwig-Maximilians-Universit¨ at M¨ unchen (2016)","venue":null,"work_id":"2d7352de-9142-4ac2-9ae2-ab93097d53bf","year":2016},"citing_paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics","version":1},"reference_index":86,"source":"pdf_text","source_observed_at":"2026-08-07T10:53:32.775279Z"},"links":{"citing_paper":"/paper/2506.04157"},"observation_digest":"sha256:be0a1e09f6096cc7f212ed992f62034ff0663ded46ad7e33760b089a9150e000","observation_id":"cd2c58d6-0019-40ba-9664-120206a58688","resolution":{"observed_at":"2026-08-07T10:53:32.951934Z","resolver_source":"doi","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2506.04157","last_updated":"2025-06-04T16:56:06Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T10:44:21.154983Z","submitted_at":"2025-06-04T16:56:06Z","title":"A robust matrix-free approach for large-scale non-isothermal high-contrast viscosity Stokes flow on blended domains with applications to geophysics"},"reference_resolution":{"displayed":86,"state_counts":{"malformed_identifier":17,"metadata_mismatch":3,"parse_uncertain":0,"unresolved":12,"verified_exact":49,"verified_fuzzy":5},"total_outbound_references":86},"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":"2026-08-07T06:34:17.273281+00:00","source":"crossref"},{"observed_at":"2026-08-07T06:34:11.927384+00:00","source":"retraction_watch"}],"thesis":"As of 8 August 2026, this Paper Citation Record lists 86 of 86 outbound references and 1 inbound Pith citation observation for arXiv:2506.04157."}