Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-05-10T06:00:03.812477Z
Paper Citation Record · LEDGER
Orderings of Generalized k-Markov Numbers
As of 5 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2604.17445.
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 2026-08-04T06:34:03.388597+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
25 of 25 outbound references displayed
- verified exact7
- verified fuzzy14
- unresolved4
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 1cd92cce-6fa4-468c-b046-813f7a63783b · outbound
This paper cites Aigner.Markov’s theorem and 100 years of the uniqueness conjecture.
Orderings of Generalized k-Markov Numbers Aigner.Markov’s theorem and 100 years of the uniqueness conjecture
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.443838Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 0ff200d1-e95d-4c4c-8b6f-2858255f634d · outbound
This paper cites Orderings of k-Markov Numbers.
Orderings of Generalized k-Markov Numbers Orderings of k-Markov Numbers
Reference 2
- Resolution
- verified exact
- local_arxiv, observed 2026-05-10T06:01:13.283956Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation f3e0c6c6-1901-4c2c-be6c-1aa965228f8f · outbound
This paper cites Cluster algebraic interpretation of generalized Markov numbers and their matrixizations.
Orderings of Generalized k-Markov Numbers Cluster algebraic interpretation of generalized Markov numbers and their matrixizations
Reference 3
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.289096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation abc22947-2620-4612-b6c5-9eeae8625ff5 · outbound
This paper cites Skein relations for punctured surfaces.
Orderings of Generalized k-Markov Numbers Skein relations for punctured surfaces
Reference 4
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.281655Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 37558946-ff9e-4ad5-9a68-0f23995d04d6 · outbound
This paper cites Banaian, E.
Orderings of Generalized k-Markov Numbers Banaian, E
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.437609Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5ddad0cd-4e1c-41f1-98cc-ea79170c9ac4 · outbound
This paper cites Banaian and A.
Orderings of Generalized k-Markov Numbers Banaian and A
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.447043Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 1047461f-e173-4784-bff6-504fb3b7225f · outbound
This paper cites Beineke, T.
Orderings of Generalized k-Markov Numbers Beineke, T
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.414618Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 2e53a8eb-7224-4610-be72-4cba4446800b · outbound
This paper cites C ¸ anak¸ cı and R.
Orderings of Generalized k-Markov Numbers C ¸ anak¸ cı and R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.404760Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b0721764-8bc1-44b1-9449-d3e07b5f72c5 · outbound
This paper cites Canakci and R.
Orderings of Generalized k-Markov Numbers Canakci and R
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.427842Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d33eb6bc-9a95-4a6c-b2e4-8194014c46a2 · outbound
This paper cites Chekhov and M.
Orderings of Generalized k-Markov Numbers Chekhov and M
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.407858Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 3f7b1fa7-cc40-440c-a826-b12b286f1337 · outbound
This paper cites an unresolved cited work.
Orderings of Generalized k-Markov Numbers Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T18:15:28.440693Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e8b4df7d-582b-4234-ab19-55c38125c773 · outbound
This paper cites Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$.
Orderings of Generalized k-Markov Numbers Positive integer solutions to $(x+y)^2+(y+z)^2+(z+x)^2=12xyz$
Reference 12
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.286557Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 4f1495be-925e-49ae-b5df-daea68572ce2 · outbound
This paper cites Uniqueness theorem of generalized Markov numbers that are prime powers.
Orderings of Generalized k-Markov Numbers Uniqueness theorem of generalized Markov numbers that are prime powers
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.294126Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 08644b7c-c5cd-4675-8839-07ba1b468fe1 · outbound
This paper cites Gyoda and K.
Orderings of Generalized k-Markov Numbers Gyoda and K
Reference 14
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.398444Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation cd4545fa-0aa4-415d-837c-622b369717a5 · outbound
This paper cites On the monotonicity of the generalized Markov numbers.
Orderings of Generalized k-Markov Numbers On the monotonicity of the generalized Markov numbers
Reference 15
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.291721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation ce6dc8d3-8c64-4966-a29a-4aa0ccf70859 · outbound
This paper cites Kantarcı O˘ guz.
Orderings of Generalized k-Markov Numbers Kantarcı O˘ guz
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.417372Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 25ff9ffd-c49d-46bc-96c8-816096c1311f · outbound
This paper cites Lagisquet, E.
Orderings of Generalized k-Markov Numbers Lagisquet, E
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.434601Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 4b2fec98-7ebe-412c-a246-8400921ee715 · outbound
This paper cites an unresolved cited work.
Orderings of Generalized k-Markov Numbers Unresolved cited work
Reference 18
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T18:15:28.393065Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation e93f2caf-2a06-446f-8c65-b7707b7546a5 · outbound
This paper cites an unresolved cited work.
Orderings of Generalized k-Markov Numbers Unresolved cited work
Reference 19
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T18:15:28.431334Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 54ee0c31-32fb-4907-bbe8-956d2d7b0c7b · outbound
This paper cites Convexity and Aigner's Conjectures.
Orderings of Generalized k-Markov Numbers Convexity and Aigner's Conjectures
Reference 20
- Resolution
- verified exact
- arxiv_id, observed 2026-05-10T06:01:13.296598Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 5f53a7f8-e773-43b2-ba6f-aee5d8f92204 · outbound
This paper cites Musiker and R.
Orderings of Generalized k-Markov Numbers Musiker and R
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.424597Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation c723f2c4-3b40-4bf1-b660-ac366d5cb203 · outbound
This paper cites Musiker, R.
Orderings of Generalized k-Markov Numbers Musiker, R
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.411041Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation b60410c1-e2e8-4829-a715-e2386003acd7 · outbound
This paper cites an unresolved cited work.
Orderings of Generalized k-Markov Numbers Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-05-21T18:15:28.401549Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation 55553d87-a75f-4811-9703-8a774f5cd97b · outbound
This paper cites Rabideau and R.
Orderings of Generalized k-Markov Numbers Rabideau and R
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.420608Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Observation d251fac5-46f7-4a2c-b017-08c131ac45f5 · outbound
This paper cites Reutenauer.From Christoffel words to Markoff numbers.
Orderings of Generalized k-Markov Numbers Reutenauer.From Christoffel words to Markoff numbers
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-05-21T18:15:28.395757Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-04T06:34:03.388597+00:00.
Pith citing papers
No inbound Pith citation observations are available.