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Paper Citation Record · LEDGER

Scaling WaterLily.jl with MPI and an improved geometric multigrid solver

As of 16 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2607.07687.

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

pith.paper-citation-record.v1
2607.07687 v2

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T18:14:53.017229Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-15T23:05:00.284888Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-15T23:05:00.711044Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact2
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch2

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b091856f-9afb-4ff5-8f7e-bf201cc96eec · outbound

This paper cites WaterLily.jl: A differentiable and backend-agnostic Julia solver for incompressible viscous flow around dynamic bodies,.

Scaling WaterLily.jl with MPI and an improved geometric multigrid solver WaterLily.jl: A differentiable and backend-agnostic Julia solver for incompressible viscous flow around dynamic bodies,

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-07-10T18:17:32.888846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:629b5dcdc0b07b9a8d32929d077ed8c0deee930cec6d07fde8be4aaae74dbb9d

Observation e453bb37-a346-4949-a7e8-75de4c3a5ae2 · outbound

This paper cites Harlow, F.

Scaling WaterLily.jl with MPI and an improved geometric multigrid solver Harlow, F

Reference 2

Resolution
metadata mismatch
doi, observed 2026-07-10T18:17:32.891320Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:bb148c57e0e47ec470946dcb52ee3e1ecf003fb612b90dba2b9a484e9aaa19b1

Observation b901eead-290b-4caa-979b-cb2b235c0567 · outbound

This paper cites Distributed Parallelization of xPU Sten- cil Computations in Julia,.

Scaling WaterLily.jl with MPI and an improved geometric multigrid solver Distributed Parallelization of xPU Sten- cil Computations in Julia,

Reference 3

Resolution
verified exact
doi, observed 2026-07-10T18:17:32.893233Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:9b9278080f966616f43f0bf7f4cbd8a2d7346e08d384bb25bc19b8bf018d2fcd

Observation 0a8f4150-668f-4c90-98da-a8f2c3f157ae · outbound

This paper cites Roofline: An insightful visual performance model for multicore architectures.

Scaling WaterLily.jl with MPI and an improved geometric multigrid solver Roofline: An insightful visual performance model for multicore architectures

Reference 4

Resolution
metadata mismatch
arxiv_id, observed 2026-07-10T18:17:32.896200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:5d756b68adea9356eaf7bea49860ebfb1a2ff7e01b485131b2dfb606e5f04849

Pith citing papers

Observation c70049ca-6bbe-450a-aebd-aa4005a3225c · inbound

Julia for CFD: A Critical Survey of Ecosystem, Performance, and Composability cites this paper.

Julia for CFD: A Critical Survey of Ecosystem, Performance, and Composability Scaling WaterLily.jl with MPI and an improved geometric multigrid solver

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-15T23:05:00.714437Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-15T23:05:00.284888Z digest=sha256:8b942d1458d49693a9450e6c3366c23b565672f3d32fb005d96a406c38319bbc