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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:0397a6ca87b3a15568a4f0324dcfb7d3e9c9dd73895cacdf7c0a9890f81a66f4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:0705bcfdcdc065bc22a86016f65c80494e6da3871142e34d3bdbe907fc8dfd3c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:7f66e578bafc31007c4a1163e33576ba80a2a699b12caefc32fa8db09fa8fdbf

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-07-10T18:14:53.017229Z digest=sha256:e728d101ab7bb6f94ec3fc182c5f657d9e586d960cbf8195290d81168b0100e1

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-15T23:05:00.284888Z digest=sha256:70758f38b3d925e903f3b0c28bc1431cb57be64bef0df048b973031de855084c