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Paper Citation Record · LEDGER

A simultaneous approximation problem for exponentials and logarithms

As of 13 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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:15.838493Z digest=sha256:c276e4856c8f21a2487de66e0ef5c49855c180a7a80611b26cd031ab892f281b

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:15.909230Z digest=sha256:97c5467a4735a5b1142b9e53ffbac25960649d434027ddd23909c380beaad971

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:15.968600Z digest=sha256:732c95385ec221aeba979e5db46fd258f01258d6d5dccefecc563fa9235ef205

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.037662Z digest=sha256:6872d635857bad3942fc7e4c738f047b2e94f45d03adf2d8158f9ef1953d2d2e

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.091268Z digest=sha256:bb20810811014b4dad54c82032b6d95c2968a2b83137b886abc2170eaa7d5557

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.190485Z digest=sha256:2895ea7b1edfe529f1ac10c86792b450ef192ea2429282de2288966f613764a2

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.318378Z digest=sha256:a377e521fc3b5ce541bc4e933d85950c96ffe3f852282d815f45d974e970de82

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.456607Z digest=sha256:4c9aff9b0e3bf867a62b8255f0e38771a7432e71098cf6af46a91288c5ed17ab

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.633351Z digest=sha256:d6a493a514573d51e089c2461083c3bedb8ce8bc3a8c9a559de8746c37ce97ca

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.745622Z digest=sha256:a1bc14c1014bf7ef8593351170458f50111720ffc0ebc2be0c9f429c3f269444

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.843876Z digest=sha256:8ea0a15442a6ee5f221f97ae8ad7c0add5dbaab72f7192607e4bd5f56e6982b6

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:16.975082Z digest=sha256:d8407a9ce7282bbaea1816e7f4666d0f5b183b127331843a5d85f6931de1cb27

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:17.093902Z digest=sha256:8b59e99557a79a29a0734f1f6e7126a566cefbcd61eca6f91c9cb4c40df13711

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:17.152741Z digest=sha256:439700244e5f615ae60f7319943913f78ebc9f2413c2ea22e991bdd49e475d99

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 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-07T13:55:17.202629Z digest=sha256:7774563ae6dcd5a45a3a3b73ba57bd5a78f767096358cb532bc9a0e628f66b12

Pith citing papers

No inbound Pith citation observations are available.