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Paper Citation Record · LEDGER

Particle mesh multipole method: An efficient solver for gravitational/electrostatic forces based on multipole method and fast convolution over a uniform mesh

As of 11 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 1 inbound Pith citation observation for arXiv:1409.5981.

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

pith.paper-citation-record.v1
1409.5981 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 1 of 1 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-09T15:12:33.607269Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-09T15:12:34.295905Z

Reference resolution

0 of 0 outbound references displayed

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

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation f47df362-edd4-4f94-8ec2-fc5ca6446abe · inbound

Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics cites this paper.

Non-conservation of linear momentum in widely used hierarchical methods in gravitational gas dynamics Particle mesh multipole method: An efficient solver for gravitational/electrostatic forces based on multipole method and fast convolution over a uniform mesh

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-09T15:12:34.300160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-09T15:12:33.607269Z digest=sha256:cc6ddd2d8484a61e62f78cff551faa8e805b969c351a15286bf854d76989bc03