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Paper Citation Record · LEDGER

Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

As of 14 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 4 inbound Pith citation observations for arXiv:2204.01722.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2204.01722 v3

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 4 of 4 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T15:19:07.442936Z

measured 1 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

9
arxiv_reference, observed 2026-08-05T02:28:24.338817Z

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b3920ff5-5bc4-4d1d-9895-5e3f062dc6a8 · inbound

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead cites this paper.

Matrix-Free Methods for Finite-Strain Elasticity: Automatic Code Generation with No Performance Overhead Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T15:19:07.442936Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T15:19:07.442936Z digest=sha256:abf59ea0babedb2444a003eea79f4eeba2789c5e69b21e2d38967aba20de8061

Observation 5d4d3b87-ad45-4361-9521-760353d5ec52 · inbound

A matrix-free, differentiable PyTorch solver for phase-field fracture: Formulation, benchmarks, and inverse analysis cites this paper.

A matrix-free, differentiable PyTorch solver for phase-field fracture: Formulation, benchmarks, and inverse analysis Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

Reference 36

Resolution
verified exact
arxiv_id, observed 2026-06-26T06:39:04.423236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-06-26T06:29:11.645889Z digest=sha256:7ab764090aa0735d86c47219b3ce95b1a6e933696d6e43a34d797324cd9ff3cd

Observation 3bc226cb-3f70-4932-b9f0-6d181eaa57ef · inbound

Matrix-free phase-field modeling of fracture in micromechanical testing simulations of inelastic materials cites this paper.

Matrix-free phase-field modeling of fracture in micromechanical testing simulations of inelastic materials Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-01T08:26:05.796952Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T08:26:05.796952Z digest=sha256:4edb0af6866325b7a8ec77faa21c24b805261bbd0725aac4ac0887a191bbde6e

Observation 54d2b992-2fa9-4347-aff8-31fc10f297cb · inbound

A Portable and Versatile Limited-Memory BFGS Implementation in PETSc/TAO cites this paper.

A Portable and Versatile Limited-Memory BFGS Implementation in PETSc/TAO Performance Portable Solid Mechanics via Matrix-Free $p$-Multigrid

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-04T01:07:55.323318Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-04T01:07:55.323318Z digest=sha256:7ed9a864ede0f9bd1f79fddba1859257541fdfe1e241ea19ff174d4aab748f30