Paper Citation Record · LEDGER

Words for generalized Markov numbers

As of 14 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:2605.26951.

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

pith.paper-citation-record.v1
2605.26951 v2

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-06-29T15:59:26.164119Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

12 of 12 outbound references displayed

verified exact5
verified fuzzy0
unresolved7
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b97aabc-547c-402a-8717-59aae4706221 · outbound

This paper cites Aigner,Markov’s Theorem and 100 Years of the Uniqueness Conjecture, Springer, 2013.

Words for generalized Markov numbers Aigner,Markov’s Theorem and 100 Years of the Uniqueness Conjecture, Springer, 2013

Reference 1

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 40640192-7fe6-4b2f-bfd5-b63f5cdfd38b · outbound

This paper cites Orderings of k-Markov Numbers.

Words for generalized Markov numbers Orderings of k-Markov Numbers

Reference 2

Resolution: verified exact; local_arxiv, observed 2026-06-29T16:03:34.001105Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 2c8949a6-0222-4232-ad36-af52ed84f43b · outbound

This paper cites Cluster algebraic interpretation of generalized Markov numbers and their matrixizations.

Words for generalized Markov numbers Cluster algebraic interpretation of generalized Markov numbers and their matrixizations

Reference 3

Resolution: verified exact; arxiv_id, observed 2026-06-29T16:03:33.996453Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 41657c0d-9c16-4398-9835-28c5a36c4d04 · outbound

This paper cites Cohn,Approach to Markoff’s minimal forms through modular functions, Ann.

Words for generalized Markov numbers Cohn,Approach to Markoff’s minimal forms through modular functions, Ann

Reference 4

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 90896b6f-b0dd-46ac-8f9d-1d6888121cf3 · outbound

This paper cites an unresolved cited work.

Words for generalized Markov numbers Unresolved cited work

Reference 5

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation eccaf718-f905-4755-bd49-dfdbda72a5ba · outbound

This paper cites Generalized discrete Markov spectra.

Words for generalized Markov numbers Generalized discrete Markov spectra

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-06-29T16:03:33.998765Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation ccd0d510-7309-4531-87c7-16aaf602f45c · outbound

This paper cites Uniqueness theorem of generalized Markov numbers that are prime powers.

Words for generalized Markov numbers Uniqueness theorem of generalized Markov numbers that are prime powers

Reference 7

Resolution: verified exact; arxiv_id, observed 2026-06-29T16:03:33.993451Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation d5a21a5e-5dc5-4546-a0dd-b2f4084d899d · outbound

This paper cites SL(2,Z)-matrixizations of generalized Markov numbers.

Words for generalized Markov numbers SL(2,Z)-matrixizations of generalized Markov numbers

Reference 8

Resolution: verified exact; arxiv_id, observed 2026-06-29T16:03:33.991026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

Observation 97a444e3-7ece-4ecf-b7ed-ed51a2683a34 · outbound

This paper cites Gyoda and K.

Words for generalized Markov numbers Gyoda and K

Reference 9

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d0abc638-48d2-4384-a595-2cc4080a90d6 · outbound

This paper cites Markoff,Sur les formes quadratiques binaires ind´ efinies, Math.

Words for generalized Markov numbers Markoff,Sur les formes quadratiques binaires ind´ efinies, Math

Reference 10

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 98f92500-5e65-4e93-aa05-9be70a5c5b86 · outbound

This paper cites Second m´ emoire, Math.

Words for generalized Markov numbers Second m´ emoire, Math

Reference 11

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4c1ba3fb-a527-4a06-828f-fcefca4546ca · outbound

This paper cites Reutenauer,From Christoffel Words to Markoff Numbers, Oxford University Press, 2019.

Words for generalized Markov numbers Reutenauer,From Christoffel Words to Markoff Numbers, Oxford University Press, 2019

Reference 12

Resolution: unresolved; no resolver link, observed 2026-06-29T15:59:26.164119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

No inbound Pith citation observations are available.