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Paper Citation Record · LEDGER

Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$

As of 7 August 2026, this Paper Citation Record lists 4 of 4 outbound references and 1 inbound Pith citation observation for arXiv:2506.02428.

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

pith.paper-citation-record.v1
2506.02428 v1

Coverage vector

measured 4 of 4 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:39:51.881743Z

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T05:36:57.966468Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T05:36:58.010239Z

Reference resolution

4 of 4 outbound references displayed

  • verified exact0
  • verified fuzzy2
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f78edbf2-baba-47e7-960c-09c0b1502ca1 · outbound

This paper cites Ayala, E.

Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$ Ayala, E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:52.553606Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:39:47.723466Z digest=sha256:927e2d776d8b8fbc1abc89434ec52741b92692bef60e2c61dc1076521434f74a

Observation aacfafa8-00f2-48d1-82f7-fb42592aa468 · outbound

This paper cites Colonius, W.

Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$ Colonius, W

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T11:39:52.399449Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:39:49.595294Z digest=sha256:13b4549fa8a4527c540ce97e119098149f01442aff3029cd2156bc437464fb02

Observation 9634e1f5-9a3f-4e7c-835b-7b25a76f93bb · outbound

This paper cites an unresolved cited work.

Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$ Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:39:52.259591Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:39:51.789122Z digest=sha256:4a6922a9bc8d770e9b010b186b789596aea43e4b658597d1fdc7edc6a367b4cd

Observation 3ecb14fb-831e-472c-a2da-46a9f0ec35d3 · outbound

This paper cites an unresolved cited work.

Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$ Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T11:39:52.100227Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T11:39:51.881743Z digest=sha256:8ede2a9e9fbeea7b23e0ff5c7bae43c7b43b04745483edec2fb67a39fc57b026

Pith citing papers

Observation 8a905c4e-a97c-49f0-9070-f6a51f812902 · inbound

Controllability of induced bilinear systems on the sphere cites this paper.

Controllability of induced bilinear systems on the sphere Lie algebra rank condition for bilinear control systems on $\mathbb{R}^2$

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T05:36:58.017633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-07T05:36:57.966468Z digest=sha256:0091fac09f6876f51a13d7a7978369fb9fcd4d42d33296844a1d3439b7e12a19