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Paper Citation Record · LEDGER

A simultaneous approximation problem for exponentials and logarithms

As of 8 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2505.20957.

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

pith.paper-citation-record.v1
2505.20957 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:55:17.202629Z

measured 15 of 15 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 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

15 of 15 outbound references displayed

  • verified exact0
  • verified fuzzy6
  • unresolved9
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b94caf4e-b7c6-47fa-95eb-620a635f42de · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:20.015835Z

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=2026-08-07T13:55:15.838493Z digest=sha256:85ef5cc43bca4f2773d1b76e7c1ab92ebeec080a1886edb00c16fe1776a466d7

Observation d0b5d8a7-8a4f-4e76-997a-912a9481d963 · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:19.761257Z

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=2026-08-07T13:55:15.909230Z digest=sha256:51d24297a6da153bf99ac47d04caf0e69f27d254338e27e4cd149ce9b9063d3a

Observation 5e48b974-56e6-4f29-b291-49d6155fd7d7 · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:19.472670Z

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=2026-08-07T13:55:15.968600Z digest=sha256:964b3a3bf75720e510ce940a7b8caffbb2dc091dfce9ce6ab68af768a4fb5937

Observation 3a24e354-7a4b-4c17-96ad-59d782a067f6 · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:19.198029Z

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=2026-08-07T13:55:16.037662Z digest=sha256:9d68bc922f9742502cf12b9357087ba7066dceee0f6c12a0db6d1d09b4932c7c

Observation d5a0e830-b76b-421f-b4a1-ca7911c25441 · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:19.072998Z

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=2026-08-07T13:55:16.091268Z digest=sha256:253c8aeafe33dcf9fe70dd821859caa90b93e44ada6ef3df43a170b9004dcf71

Observation bcc92f96-cb7e-4147-bcf8-1da7d031059b · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:18.906892Z

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=2026-08-07T13:55:16.190485Z digest=sha256:6e7a9ab709ab0e71e3d10f9669cafc30f6d7656030d030996954c891c5e607a8

Observation 35ca7812-9712-4d8b-b1be-6824d380d7fb · outbound

This paper cites Lang, Complex Analysis, GTM 103, Springer-Verlag, 1999.

A simultaneous approximation problem for exponentials and logarithms Lang, Complex Analysis, GTM 103, Springer-Verlag, 1999

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:55:18.653599Z

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=2026-08-07T13:55:16.318378Z digest=sha256:fdd8012f1d941fbd77921bb8237b85a7e97aa6aa7afd7c388e34e87e205ba9a9

Observation d73de311-2a5f-449a-86b4-305337521b21 · outbound

This paper cites Tijdeman, An auxiliary result in the theory of transcendental numbers, J.

A simultaneous approximation problem for exponentials and logarithms Tijdeman, An auxiliary result in the theory of transcendental numbers, J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:55:18.438493Z

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=2026-08-07T13:55:16.456607Z digest=sha256:0ebc3617caff519fd87708a25ca41aa513853346f0e7ca6d4d6a25f4dca30258

Observation fb616200-2626-4423-808f-df047bf88205 · outbound

This paper cites Tijdeman, On the algebraic independence of certain numbers, Indag.

A simultaneous approximation problem for exponentials and logarithms Tijdeman, On the algebraic independence of certain numbers, Indag

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:55:18.257409Z

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=2026-08-07T13:55:16.633351Z digest=sha256:7cae703c490c55f1b35019bec72f0a48476ec49e67506b97e0092907e8c5c622

Observation 0c9a5429-94c0-4a70-b5b2-f38b65e63c53 · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:18.037538Z

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=2026-08-07T13:55:16.745622Z digest=sha256:0efabffc2a5f77173bfdfb0763cb5eceabc3fa5524a0c38d0ac8b095cc12f6d0

Observation bc97aacc-385c-4431-8d92-467fa979a485 · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:17.854752Z

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=2026-08-07T13:55:16.843876Z digest=sha256:9c0f3e05795d727ea7ca1249ddc1fa6e2450838ab53f79ea2d0026005e59963b

Observation 02be4dbb-cd1e-471e-bfde-d6b4ff294d6f · outbound

This paper cites an unresolved cited work.

A simultaneous approximation problem for exponentials and logarithms Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-07T13:55:17.701327Z

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=2026-08-07T13:55:16.975082Z digest=sha256:6b8654d53d5f88b06f0bcf00410a59317f79cbbbc0d58e4bb8c45aebbe8f9c70

Observation 32de2750-d5cc-4153-9237-a23c053eb24b · outbound

This paper cites Tubbs, A diophantine problem on elliptic curves, Trans.

A simultaneous approximation problem for exponentials and logarithms Tubbs, A diophantine problem on elliptic curves, Trans

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:55:17.570993Z

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=2026-08-07T13:55:17.093902Z digest=sha256:96291a7915cba39491ab407ef8960ec8a3fa50277285981c5a5fbac9e10c0d70

Observation 903f759b-400f-4b0b-829e-175ad5fdbc47 · outbound

This paper cites Waldschmidt, Transcendence measures for exponentials and logarithms, J.

A simultaneous approximation problem for exponentials and logarithms Waldschmidt, Transcendence measures for exponentials and logarithms, J

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:55:17.477340Z

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=2026-08-07T13:55:17.152741Z digest=sha256:51d5baa6df33b23993f4c64bde837fd9411026997cf72f93d50d7ef82663f64b

Observation 2cec2781-495f-4190-9ba4-d1d60bdf9985 · outbound

This paper cites Waldschmidt, Diophantine approximation on linear algebraic groups, Grundlehren der mathema- tischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol.

A simultaneous approximation problem for exponentials and logarithms Waldschmidt, Diophantine approximation on linear algebraic groups, Grundlehren der mathema- tischen Wissenschaften [Fundamental Principles of Mathematical Sciences], vol

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T13:55:17.352308Z

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=2026-08-07T13:55:17.202629Z digest=sha256:15536706ed42fdfdf22b7048d1cd33cd173a99d62e009d8ff26854dfb860bad3

Pith citing papers

No inbound Pith citation observations are available.