Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T16:57:19.936208Z
Paper Citation Record · LEDGER
On the Lebesgue-Nagell equation $x^2-2 = y^p$
As of 12 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2507.12397.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
34 of 34 outbound references displayed
- verified exact0
- verified fuzzy24
- unresolved9
- parse uncertain0
- malformed identifier0
- metadata mismatch1
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 66b78519-b50d-40b0-9dff-4334ea752c82 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 1
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:26.996199Z
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.
Observation 7cd6e429-ec48-495c-95f7-512c8104fe82 · outbound
This paper cites More on consecutive multiplicatively dependent triples of integers.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ More on consecutive multiplicatively dependent triples of integers
Reference 2
- Resolution
- metadata mismatch
- local_arxiv, observed 2026-08-06T16:57:20.182149Z
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.
Observation 58f6b73a-9b44-4616-a706-58a233d1f15e · outbound
This paper cites Bennett and Samir Siksek.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Bennett and Samir Siksek
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:26.761835Z
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.
Observation 01d8634f-a39a-43d3-8149-c7027843db16 · outbound
This paper cites Bennett and Samir Siksek.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Bennett and Samir Siksek
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:26.474329Z
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.
Observation 58e69ead-58fe-4ce8-85f5-5a78e0240e3d · outbound
This paper cites Bennett and Chris M.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Bennett and Chris M
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:26.184896Z
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.
Observation 100d7218-ab0a-49d7-951f-7c3bcf85484b · outbound
This paper cites Solving Thue equations of high degree.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Solving Thue equations of high degree
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:25.999715Z
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.
Observation 60ea0717-98d4-4e29-bbef-81c929275b1f · outbound
This paper cites Classical and modular approaches to exponential Diophantine equations.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Classical and modular approaches to exponential Diophantine equations
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:25.802409Z
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.
Observation ed98341e-117a-48d3-ac73-9e8bbeaccdb5 · outbound
This paper cites On the equations a2 − 2b6 = cp and a2 − 2 = cp.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ On the equations a2 − 2b6 = cp and a2 − 2 = cp
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:25.635132Z
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.
Observation c7419add-2a51-4848-a1df-8b39f783979d · outbound
This paper cites Number theory.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Number theory
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:25.484584Z
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.
Observation ea97eaf0-ecb5-47ab-9c5f-090216e445d0 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:25.269210Z
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.
Observation 14529ef7-bc48-4bff-912c-ebdc2271244b · outbound
This paper cites Dorais and Dominic Klyve.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Dorais and Dominic Klyve
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:25.106988Z
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.
Observation 046e0ea1-73ba-4f80-bd67-bfc9666371d9 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:24.936427Z
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.
Observation 13346ad8-76b2-42fa-a966-887e3c76d646 · outbound
This paper cites Solving Thue equations without the full unit group.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Solving Thue equations without the full unit group
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:24.722794Z
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.
Observation 3e973863-d951-40bb-a191-473cc0d57c34 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:24.541039Z
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.
Observation f82a98b0-f321-4d0a-9ef9-dbdf4996b928 · outbound
This paper cites On the Diophantine equation x2 = yn + 1, xy̸= 0.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ On the Diophantine equation x2 = yn + 1, xy̸= 0
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:24.365478Z
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.
Observation bc578d43-5972-4d73-a73c-4be4a8abcd85 · outbound
This paper cites Linear forms in two logarithms and interpolation determinants.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Linear forms in two logarithms and interpolation determinants
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:24.109779Z
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.
Observation 2bdec6cd-6aed-4891-9b1a-12c4892c1590 · outbound
This paper cites Formes lin´ eaires en deux logarithmes et d´ eterminants d’interpolation.J.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Formes lin´ eaires en deux logarithmes et d´ eterminants d’interpolation.J
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:23.945976Z
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.
Observation c6be2fc2-4396-4c1e-9caf-8007f7380b6d · outbound
This paper cites A brief survey on the generalized Lebesgue-Ramanujan-Nagell equa- tion.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ A brief survey on the generalized Lebesgue-Ramanujan-Nagell equa- tion
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:23.816352Z
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.
Observation 6e3867da-b3ef-4be9-8b5f-c5fbc2194e4f · outbound
This paper cites The L-functions and modular forms database, home page of the elliptic curve with lmfdb label 28224.dp2 (Cremona label 28224b1).
On the Lebesgue-Nagell equation $x^2-2 = y^p$ The L-functions and modular forms database, home page of the elliptic curve with lmfdb label 28224.dp2 (Cremona label 28224b1)
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:23.592275Z
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.
Observation 45639226-43d5-4c09-9537-89d97a5d483b · outbound
This paper cites The L-functions and modular forms database, home page of the newform orbit 128.2.a.a.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ The L-functions and modular forms database, home page of the newform orbit 128.2.a.a
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:23.356012Z
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.
Observation 0def62a3-3335-4d5b-b343-78a0c900d755 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:23.067193Z
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.
Observation 97e9fac2-7d33-487a-b8bf-8ac3913d3aab · outbound
This paper cites Primary cyclotomic units and a proof of Catalan’s conjecture.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Primary cyclotomic units and a proof of Catalan’s conjecture
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:22.708271Z
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.
Observation 9b3c96b1-7b7b-42d5-9baf-13e4e787d22a · outbound
This paper cites Rational number theory in the 20th century.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Rational number theory in the 20th century
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:22.439241Z
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.
Observation b9d25364-9e4e-426e-ab3e-1c7c66c6417a · outbound
This paper cites Error bounds and exponential improvement for the asymptotic expansion of the Barnes G-function.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Error bounds and exponential improvement for the asymptotic expansion of the Barnes G-function
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:22.097605Z
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.
Observation 524cbeea-086e-4632-bba6-d4e5a7088def · outbound
This paper cites A remark on Stirling’s formula.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ A remark on Stirling’s formula
Reference 25
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T16:57:19.133235Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation d9f67cec-f19c-4c00-a016-a6487d907010 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 26
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:21.796805Z
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.
Observation 5ba0eaf7-ed8d-4eb0-b26f-ed2cc4eb0f28 · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:21.642990Z
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.
Observation 19797d7a-790e-4ab3-b7a3-6aa347cc3963 · outbound
This paper cites Universitext.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Universitext
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:21.456348Z
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.
Observation ba0eda83-aa49-4e72-9237-226b3ad4f8ef · outbound
This paper cites an unresolved cited work.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T16:57:21.276427Z
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.
Observation da8afed3-cb2a-4094-b92f-94a25b9fc792 · outbound
This paper cites The index of nonmonic polynomials.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ The index of nonmonic polynomials
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:21.106476Z
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.
Observation f7b88492-bdb2-417a-acc0-f8a969605793 · outbound
This paper cites Bordeaux.
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:20.906040Z
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.
Observation 93ebbb03-28a1-4640-bb78-344227a8711e · outbound
This paper cites SageMath, the Sage Mathematics Software System (Version 9.5) , 2022.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ SageMath, the Sage Mathematics Software System (Version 9.5) , 2022
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:20.705699Z
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.
Observation 8b799726-cfc2-492a-a66e-a3026ad258cf · outbound
This paper cites Tzanakis and B.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Tzanakis and B
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:20.513183Z
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.
Observation 1b27d924-2094-403e-b501-23916b69c034 · outbound
This paper cites Class number one from analytic rank two.
On the Lebesgue-Nagell equation $x^2-2 = y^p$ Class number one from analytic rank two
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T16:57:20.364289Z
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.
Pith citing papers
No inbound Pith citation observations are available.