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Paper Citation Record · LEDGER

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$

As of 16 August 2026, this Paper Citation Record lists 11 of 11 outbound references and 0 inbound Pith citation observations for arXiv:1908.04496.

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

pith.paper-citation-record.v1
1908.04496 v1

Coverage vector

measured 11 of 11 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:50:49.354628Z

measured 11 of 11 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

11 of 11 outbound references displayed

  • verified exact1
  • verified fuzzy3
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation bc136e4b-feca-4a8f-8f09-ca5328f65bda · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.547018Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.302874Z digest=sha256:00307a21c845f7ed9e664a94cb4ae46bd835169d8f3130ff0be798d6b0cd26eb

Observation 5424fd0a-a7ff-4a7a-a4ce-be7036903294 · outbound

This paper cites Dullin, Relative equilibra of the 3-body problem in R^4 , preprint (2019).

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Dullin, Relative equilibra of the 3-body problem in R^4 , preprint (2019)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:50:49.533134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.308524Z digest=sha256:3dff9eb8eb504f5acfedee73c081987ddc7323c984f1bfecdf1a4f05342a7896

Observation 0a8c0b88-b3b1-4754-88e6-7b5a959c855c · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.518763Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.313521Z digest=sha256:502de7e0c28f202fbbbc198cc9bff65cc4474584b66091241c222b9dd4797fce

Observation 431ee401-9c64-42af-84e0-2d870f9bbf66 · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.502256Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.318523Z digest=sha256:2fd0e39c5cae363e2e79ef153520a0ca4a7bbd4a8a004fd9ec572f5a51fb31e5

Observation ee9218e5-d8cf-41e8-bc56-bcfdaedb903d · outbound

This paper cites 2, DMV, 1998, pp.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ 2, DMV, 1998, pp

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:50:49.487513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.324144Z digest=sha256:30121bd67e0df013184de19e302bb3ea8c585ff0189e3782b9acd00b617cff7c

Observation 90c60b82-8039-463c-a463-ed7358ff9caf · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.470826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.329826Z digest=sha256:5504efa42b95c2cbf1ff3ae9458139393747fa584cd97c19f514856b6e0eea50

Observation bfb38c38-ed43-43a2-931e-a57f15ac3da2 · outbound

This paper cites 132, Springer Grundlehren, 2013.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ 132, Springer Grundlehren, 2013

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:50:49.455804Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.335038Z digest=sha256:b9d86c39c40885a2b05d1e9f7a8e94287eadc3d286cef1947871c163f5f785b1

Observation d71c3257-78af-4a0d-84ec-46ed95ca37de · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.440974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.340087Z digest=sha256:cbcc765cb0b66addd2d1d1574c4a392f739b9f8ba3fab091f7725549c609a3da

Observation e7012733-8ae9-474c-a551-635c5074b933 · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.426525Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.344819Z digest=sha256:b8999eba2928ef6d8aba3387a25c12137e93b34b2bab02eeaaefee8abd1e3a28

Observation 44d88dcd-980b-4b59-b1bf-4026aea5e4f9 · outbound

This paper cites On the n-body problem in $\mathbb{R}^4$.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ On the n-body problem in $\mathbb{R}^4$

Reference 10

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:50:49.397156Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.349665Z digest=sha256:8d143ff83c8ee8b278595a9c88c7d9a664f6277f4427cdb59218cd8222d9f54c

Observation 8ddc79ad-af23-4d4a-a5bb-f5c713d82730 · outbound

This paper cites an unresolved cited work.

Symmetry reduction of the 3-body problem in $\mathbb{R}^4$ Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:50:49.412491Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=arxiv_source observed=2026-08-14T13:50:49.354628Z digest=sha256:76f74284a035d5f3ae0985b75bf0eb5733dc70512283b456c51958af93a02ff7

Pith citing papers

No inbound Pith citation observations are available.