{"as_of":"2026-08-09T06:05:00Z","caps":{"database_statements":6,"inbound":100,"outbound":100},"context_digest":"sha256:00d519a306b672328126fc285f6680607adb1d58c4b93fc20b4a6d0bf232f974","coverage":[{"denominator":47,"lane":"reference_resolution","note":"Typed states for the displayed outbound observations.","records_observed":47,"source":"paper_references, paper_reference_links","source_observed_at":"2026-08-07T15:19:10.007918Z","state":"measured"},{"denominator":48,"lane":"standing_notices","note":"One-hop event checks from named stored sources.","records_observed":48,"source":"scholarly_work_events, retraction_status_cache","source_observed_at":"2026-08-08T06:32:00.761636+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":"2026-08-06T15:03:29.914016Z","state":"measured"},{"denominator":1,"lane":"external_citation_measurements","note":"A source-named dated measurement, never combined with another source.","records_observed":0,"source":"pith","source_observed_at":"2026-08-06T15:03:31.057450Z","state":"measured"}],"external_citation_measurements":[],"inbound":[{"citation":{"cited_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"cited_work":{"arxiv_id":"2505.15535","doi":null,"metadata_source":"pith","pith_arxiv_id":"2505.15535","snapshot_observed_at":"2026-08-06T15:03:31.057450Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","venue":"math.NA","work_id":"7f001393-cf5b-42f8-9ae4-44fb1b42a000","year":2025},"citing_paper":{"arxiv_id":"2507.17053","last_updated":"2025-07-22T22:24:16Z","snapshot_observed_at":"2026-08-08T12:50:35.960001Z","submitted_at":"2025-07-22T22:24:16Z","title":"Matrix-Free Evaluation of High-Order Shifted Boundary Finite Element Operators","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-06T15:03:29.914016Z"},"links":{"cited_paper":"/paper/2505.15535","citing_paper":"/paper/2507.17053"},"observation_digest":"sha256:ffbca6356e8879f1fbe0576e8223256fdf075dbe25b60931eaf97bab2b9aa3c7","observation_id":"7402a10e-71bd-48a0-a91b-fe96f03d06c2","resolution":{"observed_at":"2026-08-06T15:03:31.167051Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"links":{"evidence":"/evidence","html":"/paper/2505.15535/citation-record","integrity":"/paper/2505.15535/integrity","json":"/paper/2505.15535/citation-record.json","paper":"/paper/2505.15535"},"outbound":[{"citation":{"cited_paper":null,"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":"raw_reference","pith_arxiv_id":null,"snapshot_observed_at":"2026-08-07T15:19:15.995136Z","title":"Spectralmethodsforproblemsincomplexgeometries,","venue":null,"work_id":"0a24c6c8-a65a-42ab-ba9b-b73093788d68","year":1980},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":1,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:06.850339Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:b5e8778d5ea0fdb1847503445b58a11896e8e6bc4238cf41c18867ca83690a2a","observation_id":"fd0058dc-306a-45f3-86d1-652a3426b619","resolution":{"observed_at":"2026-08-07T15:19:16.064551Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:15.770416Z","title":"Efficient nonlinear solvers for nodal high-order finite elements in 3D,","venue":null,"work_id":"85ef0287-ca48-41ff-93d7-ef1101565dca","year":2010},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":2,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:06.897106Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:11b6534c5cc9a54f34eb9f84029c4bc084b4c8fb6870fe4b10341f6eb1b9671c","observation_id":"c93c017e-dba9-42a5-8670-005cf4a9ebbd","resolution":{"observed_at":"2026-08-07T15:19:15.935100Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:15.480066Z","title":"From h to p efficiently: Strategy selection for operator evaluation on hexahedral and tetrahedral elements,","venue":null,"work_id":"735ac45d-c368-42f6-8283-55c811d9cd6b","year":2011},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":3,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:06.949579Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:ea8bf4bba82a1d87b5fd9a12c138fe9849bcd07fe175552e25f3733c76dc9c39","observation_id":"63f86a47-7a26-4539-a0e7-633ce1aaa2f2","resolution":{"observed_at":"2026-08-07T15:19:15.634371Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:15.231873Z","title":"A generic interface for parallel cell-based finite element operator application,","venue":null,"work_id":"118c7517-a427-46dc-86d6-5db3d9322cc8","year":2012},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":4,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.002863Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:6798af253febd231f389e42a2ffbd59651dc1d3e3bbd4eec108d53bab41485e1","observation_id":"8580cec6-4c0a-4641-8fb1-f8ddb34abbe1","resolution":{"observed_at":"2026-08-07T15:19:15.351262Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:14.993865Z","title":"A quantitative performance study for Stokes solvers at the extreme scale,","venue":null,"work_id":"ad9e2914-0654-4f56-8a48-e27c22676459","year":2016},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":5,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.063759Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:55014e1eb5468eae78e3037d37ba8f877abf3fc7fad0365fe61b1e4939557e73","observation_id":"493b4fba-5081-475e-99aa-06af4609fb75","resolution":{"observed_at":"2026-08-07T15:19:15.116615Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:14.759842Z","title":"Fast matrix-free evaluation of discontinuous Galerkin finite element operators,","venue":null,"work_id":"46fc1a17-9876-4acb-82cb-563ad60e8958","year":2019},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":6,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.136327Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:82262c7cb6168d88b5ceded167aa460ecd5fb4863d589183ce670aa27ba17e7c","observation_id":"391936ef-2562-4d12-9418-8c40b883914c","resolution":{"observed_at":"2026-08-07T15:19:14.857083Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:14.538191Z","title":"GPU algorithms for efficient exascale discretizations,","venue":null,"work_id":"6b282167-0f60-4c8b-9ada-7ada0af0738d","year":2021},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":7,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.222395Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:d6d513893e57d4312f11b88f5914ede226c43fbd004e57e9b4642c3782e0c062","observation_id":"7cd98899-1aab-4141-be40-9519b03cea27","resolution":{"observed_at":"2026-08-07T15:19:14.642414Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:14.316078Z","title":"Efficient exascale discretizations: High-order finite element methods,","venue":null,"work_id":"82d4282f-ae95-47ec-b117-ece46bc64510","year":2021},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":8,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.336654Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:3829ad3acd91c95adba124fa991a26d32a83cb152a001e4503ad07eee31c9060","observation_id":"2fcd54fd-6f66-42a2-87b5-f49aaaebf58e","resolution":{"observed_at":"2026-08-07T15:19:14.423908Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:14.166225Z","title":"A matrix-free approach for finite-strain hyperelastic problems using geometric multigrid,","venue":null,"work_id":"5bdaae38-d3fe-459d-bcd5-d6670054f374","year":2020},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":9,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.385900Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:480e04c16f25861a7fd2d7d0923d1c4d701a993064d21fda6768869b00a48c78","observation_id":"17d930e8-0c7b-4f53-9c2e-0cc37df41796","resolution":{"observed_at":"2026-08-07T15:19:14.204857Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2204.01722","last_updated":"2022-05-24T02:07:28Z","snapshot_observed_at":"2026-07-06T12:56:31.536136Z","submitted_at":"2022-04-04T04:41:24Z","title":"Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid","version":3},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2204.01722","snapshot_observed_at":"2026-08-07T15:19:07.442936Z","title":"Performance portable solid mechanics via matrix-freep-multigrid,","venue":null,"work_id":null,"year":2022},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":10,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.442936Z"},"links":{"cited_paper":"/paper/2204.01722","citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:07b8778f06cd7d71ba678188d224901ae9b9d21fdf9fd286b0b93edb78f635af","observation_id":"b3920ff5-5bc4-4d1d-9895-5e3f062dc6a8","resolution":{"observed_at":"2026-08-07T15:19:07.442936Z","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":"2026-08-07T15:19:14.042314Z","title":"Matrix-free higher-order finite element methods for hyperelasticity,","venue":null,"work_id":"fe10bc4d-7cb6-4fa9-bedf-e592809653e2","year":2025},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":11,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.496092Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:027950b6cbe0d26a5916ebaa7fe92d91ee1a1c566ac933888a64ac837fa5925f","observation_id":"0f1f895d-e67a-455c-aaa2-d8bebb3c3c3e","resolution":{"observed_at":"2026-08-07T15:19:14.091762Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:07.542963Z","title":"Roofline: an insightful visual performance model for multicore architectures,","venue":null,"work_id":null,"year":2009},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":12,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.542963Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:5fccbb64236f19f3221e39b4bc27f6e43ce6bf9d93ca673ea6023eb46995c2be","observation_id":"4b8f9710-9a34-430f-b2fd-f2bf8d0324c7","resolution":{"observed_at":"2026-08-07T15:19:07.542963Z","resolver_source":null,"status":"unresolved"},"standing_notice":{"events":[],"reason":"canonical_work_link_unavailable","source_receipts":[],"state":"unavailable"}},{"citation":{"cited_paper":{"arxiv_id":"2403.14123","last_updated":"2024-03-21T04:31:59Z","snapshot_observed_at":"2026-07-06T17:48:03.807374Z","submitted_at":"2024-03-21T04:31:59Z","title":"AI and Memory Wall","version":1},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2403.14123","snapshot_observed_at":"2026-08-07T15:19:07.617300Z","title":"AI and memory wall,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":13,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.617300Z"},"links":{"cited_paper":"/paper/2403.14123","citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:fc35d62150c3e4aee353b135ae0662abe31ea99c3f38c904a8c3bc42293d95fa","observation_id":"ef2885fb-d239-4747-9ea8-07f2bfc1b3b3","resolution":{"observed_at":"2026-08-07T15:19:07.617300Z","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":"2026-08-07T15:19:13.912935Z","title":"A large-scale comparison of tetrahedral and hexahedral elements for solving elliptic pdes with the finite element method,","venue":null,"work_id":"3360187b-b766-42aa-a0ee-d8a51c76438d","year":2022},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":14,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.690629Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:ebcd552fda413cd561a994d8cd94ae79d1ad1df9c7c89a7581dedb9dde8c7c61","observation_id":"df911b3c-feab-47d0-bb55-d06bb8512161","resolution":{"observed_at":"2026-08-07T15:19:13.998030Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.813366Z","title":"p-FEM applied to finite isotropic hyperelastic bodies,","venue":null,"work_id":"40f8d70c-491d-4b10-ac06-1962468cc4c8","year":2003},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":15,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.742568Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:3fde0f90b1c8d9bc9aacf5adda34827c3992df73d1620aef6483d47e817f24f4","observation_id":"d0e4c80d-b9bc-436b-8e1e-bc429d93361f","resolution":{"observed_at":"2026-08-07T15:19:13.864793Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.694050Z","title":"Wriggers,Nonlinear finite element methods","venue":null,"work_id":"3cd351df-0e95-4ec3-8e68-633724a54300","year":2008},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":16,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.789423Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:4bdb529974476214e69a2e251e2a6ea1d6069935e2c6935de543ec1282218f17","observation_id":"90309619-a9ca-4b6e-a330-e2d22e219f2f","resolution":{"observed_at":"2026-08-07T15:19:13.735948Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.642123Z","title":"ptatin3d: High-performance methods for long-term litho- spheric dynamics,","venue":null,"work_id":"7a9a533f-8ad4-45c9-86a2-bc7408bb0017","year":2014},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":17,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.866314Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:1a9ca9759b0806c4f4becf3a4665dde3499f5b53cc778516e0858489d869127e","observation_id":"403efdc3-d080-4d16-8980-d4f3e98c1e28","resolution":{"observed_at":"2026-08-07T15:19:13.666580Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.517344Z","title":"Fully discrete hp-finite elements: fast quadrature,","venue":null,"work_id":"f663101b-0883-4662-b321-2c7318332032","year":2001},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":18,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:07.951649Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:7f4a49e1f3bd28e910e83f97e5c74088a7e64596e2c2fe2a3e6ddf2df7bb178c","observation_id":"6e571347-d913-4910-9bd4-11f4f082824d","resolution":{"observed_at":"2026-08-07T15:19:13.571473Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.408703Z","title":"A fast algorithm for spectral differentiation,","venue":null,"work_id":"8fb2da59-7dc4-49b1-b2ff-8c7006520fcf","year":1992},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":19,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.098263Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:b72e004e99c030ea8c2041af05eede157b52059ce78bd19ab837ca00dd721687","observation_id":"23a7b0c5-90ef-49fa-ae29-636b30be63eb","resolution":{"observed_at":"2026-08-07T15:19:13.449946Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.242159Z","title":"Efficient matrix-free high-order finite element evaluation for sim- plicial elements,","venue":null,"work_id":"68ea97cc-fa09-4f0a-898a-78a8f897bb47","year":2020},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":20,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.198709Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:0ed94be9a1e59a4ee8c2469e172a1c3032571dcca15f0e5f94db6a57eb18499a","observation_id":"5ff33590-bf03-454c-8c43-e70c8ee7d766","resolution":{"observed_at":"2026-08-07T15:19:13.322809Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:13.101012Z","title":"Scalability of high-performance pde solvers,","venue":null,"work_id":"ebbf70d2-0a07-42bc-9859-bedfda9c4028","year":2020},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":21,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.299816Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:1e42394ea4744ae3903bb4f3abf709a216470b525bb1ecf2f1598c1584ebb989","observation_id":"d93569c1-4216-4fcb-bf92-59ee0d6351d4","resolution":{"observed_at":"2026-08-07T15:19:13.164896Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.922742Z","title":"A performance comparison of continuous and discontinuous Galerkin methods with fast multigrid solvers,","venue":null,"work_id":"545f440f-e203-4b5b-8f14-ee7925bd3722","year":2018},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":22,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.441534Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:9f5ee763a2e17e5e13b5393fc50290bd0dd2df9eeefd9e94d93d236564efa2cb","observation_id":"3a8657bc-10ec-4735-b615-92bb9db98ef6","resolution":{"observed_at":"2026-08-07T15:19:13.016663Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.807905Z","title":"A flexible, parallel, adaptive geometric multigrid method for fem,","venue":null,"work_id":"44fb8230-487d-4042-9702-7d892e365d02","year":2020},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":23,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.533161Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:aea52e665db30d5571e32ca1cf89074764793c073cfd262ffb02bc7e46e7459c","observation_id":"a0ea8d12-648b-49a3-b9cc-729195f3b44c","resolution":{"observed_at":"2026-08-07T15:19:12.862081Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.676067Z","title":"Exploiting high-contrast stokes precon- ditioners to efficiently solve incompressible fluid–structure interaction problems,","venue":null,"work_id":"119fbe8c-1306-4987-a654-6de9c3e3713a","year":2023},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":24,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.660622Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:25190168c52b2c6a3602a0e52b2c000c3945dce911a46c7ec95d91d2833260a8","observation_id":"8494c58d-09b8-468b-b7f2-a8ce855ae254","resolution":{"observed_at":"2026-08-07T15:19:12.730823Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.567742Z","title":"The deal.II finite element library: Design, features, and insights,","venue":null,"work_id":"558165b8-9f63-4400-bb63-4ac93d2c98df","year":2021},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":25,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.762221Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:f352f9762454c7ea5a2a2330023defb7a78db71429f164df869d7af02f6ea0b3","observation_id":"ef71cfe2-1dfc-4496-b007-e941c20f2143","resolution":{"observed_at":"2026-08-07T15:19:12.628784Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.389305Z","title":"Thedeal.II library, version 9.5,","venue":null,"work_id":"b6f0d141-445c-4885-bdf0-f735e127f946","year":2023},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":26,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.856294Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:dcd96da8459d9757b298b1af0a6b8651a877298bd6da4ea5a5b0442c2c38e480","observation_id":"cbc17af2-d7e7-424b-a162-d8f4083835d9","resolution":{"observed_at":"2026-08-07T15:19:12.464028Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.250918Z","title":"Automatic generation of finite-element code by simultaneous optimization of expressions,","venue":null,"work_id":"a2168ca0-7bbb-480f-af60-50be630e3f26","year":1997},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":27,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:08.964005Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:1d4c19e2041af94ad8657b0a425100d06b2a90a4883180d8fc65d5864e68ed16","observation_id":"dc58f966-64e0-4f95-81e0-568b735d0ce9","resolution":{"observed_at":"2026-08-07T15:19:12.307482Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:12.092063Z","title":"Extending the functionality of the general- purposefiniteelementpackagesepranbyautomaticdifferentiation,","venue":null,"work_id":"418ec135-1d5f-46cf-8331-78c3061066c0","year":2003},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":28,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.044746Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:c61280337264f73e5e76c1e01bfa22299859ae274a535424cfc798b19e143ad6","observation_id":"0bd01591-4f63-4f0a-9627-8fc1114c9040","resolution":{"observed_at":"2026-08-07T15:19:12.170671Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.962445Z","title":"Griewank and A","venue":null,"work_id":"827a1d22-730d-42ff-b600-424e0fe46738","year":2008},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":29,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.127425Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:5af785192cf02f2406f391241dafb40d0553bcab53199e5d26ab02fc536c3466","observation_id":"e393f02a-e0f9-4f56-bb0b-afc080ec887e","resolution":{"observed_at":"2026-08-07T15:19:12.028205Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.818529Z","title":"Multi-language and multi-environment generation of nonlinear finite element codes,","venue":null,"work_id":"a5ca77eb-1d93-45bc-82b4-dae2a69728a9","year":2002},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":30,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.273767Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:38b6eee68efe0c92ef7da2028d0e06cbad225bc6608230f1ce9226a7d7de42e4","observation_id":"2f97ea54-4fad-4105-a19c-c7d67da82c34","resolution":{"observed_at":"2026-08-07T15:19:11.899676Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.696942Z","title":"Korelc and P","venue":null,"work_id":"7edf2ff8-a3f2-4eb5-898a-6b21dc31c4f0","year":2016},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":31,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.316221Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:20d02abecc32d3121b33edbfc69f8544b4e6bd6c24cfeb5f54ed99b5a2092161","observation_id":"bcc1790a-65de-4808-b333-afcfba279c0c","resolution":{"observed_at":"2026-08-07T15:19:11.760257Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.589765Z","title":"Mathematica, Version 14.1","venue":null,"work_id":"208f5c6c-20d9-4937-9193-4381df448c49","year":2024},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":32,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.358173Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:0686df449bfdeb65b90b2f56c8702c28b195d4095f90a91d7dafc3b2eacafb14","observation_id":"60bb0078-034b-430c-9ad0-eec62da70bee","resolution":{"observed_at":"2026-08-07T15:19:11.636017Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.480090Z","title":"Automation of primal and sensitivity analysis of transient coupled problems,","venue":null,"work_id":"ba42db7f-79f6-4ef2-9c66-bc0371b44bdd","year":2009},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":33,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.392037Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:08ec2f0963038108ae97009ecd6b74a9578b0ac468f50e8435797c9f93469b71","observation_id":"02166918-53ee-4b1d-91ff-64551006ddb4","resolution":{"observed_at":"2026-08-07T15:19:11.543078Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.385275Z","title":"Reverse-mode automatic differentiation and optimization of gpu kernels via enzyme,","venue":null,"work_id":"ec1df5c4-f677-454a-b53b-427732a9efc9","year":2021},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":34,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.424234Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:d8162bbd60c9432553a184ddb739840b43568633d4c09c348a5fd6537371d5b3","observation_id":"17e0edf0-9073-40bd-b3cd-1eac8b60b0b0","resolution":{"observed_at":"2026-08-07T15:19:11.426201Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.272190Z","title":"An overview of the Trilinos project,","venue":null,"work_id":"a9ddbffd-c3a4-4019-82fc-1bcc9ff9e28a","year":2005},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":35,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.475561Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:9cc6249525a93b459c2640cfe4ba158af8317f03afff06f8392a3bc0da27550b","observation_id":"ce7510b2-a701-4736-9f77-abfa8e59b336","resolution":{"observed_at":"2026-08-07T15:19:11.336048Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.162985Z","title":null,"venue":null,"work_id":"c5587205-a204-45d8-9223-068fae732f56","year":1978},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":36,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.510860Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:e3b20b3f928a3d0f67c73e9efbcadb849f40811496cba5c623f172dde7bda38f","observation_id":"5341c567-1ca0-4741-af5a-0000f63b2a8f","resolution":{"observed_at":"2026-08-07T15:19:11.214208Z","resolver_source":"raw_fallback","status":"unresolved"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:11.047445Z","title":"Parallel multigrid smoothing: polynomial versus gauss–seidel,","venue":null,"work_id":"98be702e-be24-4f1d-9dd8-984fad2c062e","year":2003},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":37,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.547951Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:16a08424f62beb493cfd56e5023d6ea586a7ee0e1b086895be00c854ecd75859","observation_id":"d463099c-91c8-47ab-96b1-a80a0ed3fb6a","resolution":{"observed_at":"2026-08-07T15:19:11.105359Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.948467Z","title":"ExaDG: High-order discontinuous Galerkin for the exa-scale,","venue":null,"work_id":"188c5f4e-fb02-42e1-8aaa-207cbe766c75","year":2016},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":38,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.592003Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:416856be5a788352ced8f127914efd86aaa30f830e90fe7d4a403de78bf1f343","observation_id":"f38e622a-0249-4ef5-ab56-9d5543f8a15c","resolution":{"observed_at":"2026-08-07T15:19:10.996957Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.842359Z","title":"Gruber, J","venue":null,"work_id":"d5fce818-7ea6-4713-8e1a-e4c1cc32ef2f","year":2022},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":39,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.635066Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:abf98744d176bc0264594a373472df7126d49af8a98228b33717474ec9402d7a","observation_id":"a53bf6e1-031d-4fa7-9825-c428772283ac","resolution":{"observed_at":"2026-08-07T15:19:10.883944Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.724471Z","title":"Large deformation isotropic elasticity–on the correlation of theory and experiment for incompressible rubberlike solids,","venue":null,"work_id":"a0f782ae-eb5d-4c06-86f2-c635e3fa94a5","year":1972},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":40,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.683872Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:0119f0867fb95d1a3e419f8b867f510847cbc32d8880616aa0fff7e5aa76c910","observation_id":"df309331-da64-4491-ab43-0d1aa43b8e2c","resolution":{"observed_at":"2026-08-07T15:19:10.777590Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.613159Z","title":"The mechanics of rubber elasticity,","venue":null,"work_id":"7d27de5f-78ee-4fbf-85d4-f507e255c98e","year":1976},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":41,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.722382Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:8316709f6ba1e8acbfb7c821791e062dec55134901e3b0a6f1572d211f74b63e","observation_id":"e6b0c959-e840-42c7-ac79-44b5170166a5","resolution":{"observed_at":"2026-08-07T15:19:10.669171Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.499749Z","title":"Remarks on rate constitutive equations for finite deformation problems: computational implications,","venue":null,"work_id":"05ba7435-dca3-45bd-9edd-a3a7e4f57cd5","year":1984},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":42,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.770521Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:9069d1ea489cc7d593a3ea5e20674b247d5873028e860bd487541dfe15ba491a","observation_id":"cee50b97-a319-4b20-9d44-d082e26b45a9","resolution":{"observed_at":"2026-08-07T15:19:10.554520Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.415047Z","title":"Numerical analysis and simulation of plasticity,","venue":null,"work_id":"7a799628-bcb9-4746-aa9e-957066b8db5e","year":1998},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":43,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.805302Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:c3a41ea08830902e570b1db74dd5a743215c2af27c3cfef5b5670744f551626d","observation_id":"788d18d1-b133-469b-958b-c23b4102695e","resolution":{"observed_at":"2026-08-07T15:19:10.452497Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2407.02100","last_updated":"2024-07-02T09:37:20Z","snapshot_observed_at":"2026-07-06T18:40:10.103133Z","submitted_at":"2024-07-02T09:37:20Z","title":"Smoothers with localized residual computations for geometric multigrid methods","version":1},"cited_work":{"arxiv_id":"2407.02100","doi":null,"metadata_source":"pith","pith_arxiv_id":"2407.02100","snapshot_observed_at":"2026-08-07T15:19:10.093921Z","title":"Smoothers with localized residual computations for geometric multigrid methods","venue":"math.NA","work_id":"1aab7280-d4f5-46e1-993a-58942ddddb63","year":2024},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":44,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.854377Z"},"links":{"cited_paper":"/paper/2407.02100","citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:e33129d29e5b48773ed631723370f60e1d86e416bd61149109795f3a50bdb434","observation_id":"57059219-dea4-4cfc-b72e-c20f64af9cda","resolution":{"observed_at":"2026-08-07T15:19:10.121866Z","resolver_source":"local_arxiv","status":"verified_exact"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+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":"2026-08-07T15:19:10.314763Z","title":"Cut finite element methods for linear elasticity problems,","venue":null,"work_id":"1e26c3c2-4d12-4a32-b0d6-f83378ff9c9a","year":2016},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":45,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.910588Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:17804affd76a3f80323433d59bed3692d6c1e8ebff6f2ae74b99a9af85eaca26","observation_id":"c396d948-171e-49ea-80f7-40e126f92e71","resolution":{"observed_at":"2026-08-07T15:19:10.356693Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}},{"citation":{"cited_paper":{"arxiv_id":"2404.07911","last_updated":"2024-04-12T09:13:49Z","snapshot_observed_at":"2026-08-04T01:14:06.086213Z","submitted_at":"2024-04-11T16:56:12Z","title":"High-performance matrix-free unfitted finite element operator evaluation","version":2},"cited_work":{"arxiv_id":null,"doi":null,"metadata_source":null,"pith_arxiv_id":"2404.07911","snapshot_observed_at":"2026-08-07T15:19:09.951087Z","title":"High-performance matrix-free unfitted finite element operator evaluation,","venue":null,"work_id":null,"year":2024},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":46,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:09.951087Z"},"links":{"cited_paper":"/paper/2404.07911","citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:523168d98b52786822ae8d3826dd15f19e4d07c28a077a99e93cb7fcb35c2cbf","observation_id":"5cd5a8d8-fbbb-40a1-a85c-0b43ce44e4b2","resolution":{"observed_at":"2026-08-07T15:19:09.951087Z","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":"2026-08-07T15:19:10.215187Z","title":"Preconditioning discretizations of systems of partial differential equa- tions,","venue":null,"work_id":"9737ce16-e624-4713-942f-7acbe9c166d1","year":2011},"citing_paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead","version":1},"reference_index":47,"source":"pdf_text","source_observed_at":"2026-08-07T15:19:10.007918Z"},"links":{"citing_paper":"/paper/2505.15535"},"observation_digest":"sha256:9e7f8671b6a4b24e85cfb059ca288afb9fd28ceb143df530e11b1c83e6f879a4","observation_id":"7d46a909-3fef-4134-ab2f-53cf1ff57de7","resolution":{"observed_at":"2026-08-07T15:19:10.254996Z","resolver_source":"raw_fallback","status":"verified_fuzzy"},"standing_notice":{"events":[],"observation":"No event found in the named queried sources as of 2026-08-08T06:32:00.761636+00:00.","reason":null,"source_receipts":[{"observed_at":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"state":"measured"}}],"paper":{"arxiv_id":"2505.15535","last_updated":"2025-05-21T13:56:16Z","latest_version":1,"primary_category":"math.NA","snapshot_observed_at":"2026-08-07T15:13:08.269532Z","submitted_at":"2025-05-21T13:56:16Z","title":"Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead"},"reference_resolution":{"displayed":47,"state_counts":{"malformed_identifier":0,"metadata_mismatch":0,"parse_uncertain":0,"unresolved":5,"verified_exact":1,"verified_fuzzy":41},"total_outbound_references":47},"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":"2026-08-08T06:32:00.761636+00:00","source":"crossref"},{"observed_at":"2026-08-08T06:31:55.24221+00:00","source":"retraction_watch"}],"thesis":"As of 9 August 2026, this Paper Citation Record lists 47 of 47 outbound references and 1 inbound Pith citation observation for arXiv:2505.15535."}