Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-15T18:13:58.791151Z
Paper Citation Record · LEDGER
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
As of 17 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 4 inbound Pith citation observations for arXiv:2507.19080.
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 2026-08-17T06:30:58.91139+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-06-30T23:24:13.128059Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-06-30T23:25:07.113183Z
Reference resolution
35 of 35 outbound references displayed
- verified exact1
- verified fuzzy26
- unresolved8
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 02a062ea-5a24-4c6e-b6e6-5989b0718d12 · outbound
This paper cites Aigner, Markov’s theorem and 100 years of the uniqueness conjecture.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Aigner, Markov’s theorem and 100 years of the uniqueness conjecture
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.218432Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 33ff6515-07e0-48ec-958f-afbef30b09f8 · outbound
This paper cites Cluster algebraic interpretation of generalized Markov numbers and their matrixizations.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Cluster algebraic interpretation of generalized Markov numbers and their matrixizations
Reference 2
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:13:58.650910Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6120a36a-666b-4b71-998b-171c270cfcc5 · outbound
This paper cites Bapat, L.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Bapat, L
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.207050Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation a3511c71-74e6-4f6f-8625-43d96ada07ae · outbound
This paper cites Beineke, T.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Beineke, T
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.196643Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 6e1db2c6-bb04-4114-8cc5-9e46a3e029d3 · outbound
This paper cites Birman, Braids, links, and mapping class groups.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Birman, Braids, links, and mapping class groups
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.186281Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5128aba5-5aec-4977-91d6-11a89f8a67e4 · outbound
This paper cites Bukhshtaber, A.P.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Bukhshtaber, A.P
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.176179Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8ae42429-a5b9-43f0-8f2a-07754c1868d2 · outbound
This paper cites Higher $q$-Continued Fractions.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Higher $q$-Continued Fractions
Reference 7
- Resolution
- verified exact
- local_arxiv, observed 2026-08-15T18:13:58.880232Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d1529ec7-efbc-4a49-852c-51ef7d0df2f0 · outbound
This paper cites Canakci and R.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Canakci and R
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.165509Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2969e942-3904-4e66-ada1-bbd3886b60a0 · outbound
This paper cites Canakci and R.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Canakci and R
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.155728Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 9610fb9e-8931-465e-9c18-e7009fca11f3 · outbound
This paper cites Cohn, Approach to Markoff’s minimal forms through modular functions , Ann.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Cohn, Approach to Markoff’s minimal forms through modular functions , Ann
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.146401Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation c0617e44-7373-41b9-a86f-6c9bc825f7f1 · outbound
This paper cites Cohn, Representation of Markoff’s binary quadratic forms by geodesics on a perforated torus , Acta Arith.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Cohn, Representation of Markoff’s binary quadratic forms by geodesics on a perforated torus , Acta Arith
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.136438Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5d815fae-e53a-4eb5-8a26-c5ba2121a4ce · outbound
This paper cites Arithmetic and geometry of Markov polynomials.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Arithmetic and geometry of Markov polynomials
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:13:58.692079Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f2b579c9-57cd-4561-8a08-0ccf802eb842 · outbound
This paper cites Fomin and A.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Fomin and A
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.126695Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0d378e96-86ee-4707-b3ac-3282bcef4e83 · outbound
This paper cites Introduction to Cluster Algebras. Chapters 1-3.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Introduction to Cluster Algebras. Chapters 1-3
Reference 14
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:13:58.700819Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation eee11b56-0293-41d2-be88-187e0079fa3b · outbound
This paper cites Frobenius, ¨Uber die Markoffschen Zahlen, Sitzungsber.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Frobenius, ¨Uber die Markoffschen Zahlen, Sitzungsber
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.116168Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 228a9ea2-5749-45a2-a94c-1d5dadb9b3dd · outbound
This paper cites Hardy, E.M.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Hardy, E.M
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.104441Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 843ef357-188b-4e02-a90f-b8ef0c2c0868 · outbound
This paper cites Kenyon, Lectures on dimers, Statistical mechanics, 191–230, IAS/Park City Math.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Kenyon, Lectures on dimers, Statistical mechanics, 191–230, IAS/Park City Math
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.095266Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation edb1f426-df7c-4607-a32f-a2075949b499 · outbound
This paper cites $q$-Deformations and $t$-deformations of Markov triples.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges $q$-Deformations and $t$-deformations of Markov triples
Reference 18
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:13:58.718006Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 5a68b43c-465d-4b3e-ba79-4d5ed4c7beef · outbound
This paper cites Kuo, Applications of graphical condensation for enumerating matchings and tilings , Theoret.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Kuo, Applications of graphical condensation for enumerating matchings and tilings , Theoret
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.085166Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 458abaeb-f9db-4250-8519-fab5cd5a46f7 · outbound
This paper cites Labb´ e, M.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Labb´ e, M
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.075002Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 379b7dfa-0a9c-4f39-99e1-a32c73f136a5 · outbound
This paper cites Labb´ e, M.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Labb´ e, M
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.065539Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 8aeb81e0-1c9d-4541-a82e-a8316f3f25c2 · outbound
This paper cites Leclere, S.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Leclere, S
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.055382Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 28c03410-60b8-433a-b96b-7cf7a0a073f5 · outbound
This paper cites an unresolved cited work.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:13:59.045610Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation abc73cc7-a878-424b-a97d-761ccdbc6097 · outbound
This paper cites Markoff, Sur les formes quadratiques binaires ind´ efinies , Mathematische Annalen volume 15 (1879), pages 381–406.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Markoff, Sur les formes quadratiques binaires ind´ efinies , Mathematische Annalen volume 15 (1879), pages 381–406
Reference 24
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.035075Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 85a2096e-b8b9-4a2b-8694-4abd69bb759b · outbound
This paper cites Morier-Genoud, V.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Morier-Genoud, V
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.023575Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation d895b7f7-a37e-4042-a3fa-3e29faa31526 · outbound
This paper cites Morier-Genoud, V.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Morier-Genoud, V
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.011855Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 772a3561-d1f8-4604-9d99-4356d4e130fe · outbound
This paper cites Morier-Genoud, V.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Morier-Genoud, V
Reference 27
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:59.000966Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 47379d2b-d06c-41b8-a56f-068b45e35423 · outbound
This paper cites Musiker, R.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Musiker, R
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:58.989725Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0f5ce602-60b6-4743-ad88-310e9887ac8e · outbound
This paper cites N´ ajera Ch´ avez,On the c-vectors and g-vectors of the Markov cluster algebra , S´ em.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges N´ ajera Ch´ avez,On the c-vectors and g-vectors of the Markov cluster algebra , S´ em
Reference 29
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:58.977370Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation f3212044-bf02-4186-8f2b-4c42566327c1 · outbound
This paper cites Oguz, Oriented posets, rank matrices and q-deformed Markov numbers , Discrete Math.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Oguz, Oriented posets, rank matrices and q-deformed Markov numbers , Discrete Math
Reference 30
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:58.964329Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 845eee04-6c9f-45fb-838b-458c9599b386 · outbound
This paper cites an unresolved cited work.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Unresolved cited work
Reference 31
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:13:58.948689Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 2ebc301c-33d6-4548-bf3a-bb13916f350b · outbound
This paper cites an unresolved cited work.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Unresolved cited work
Reference 32
- Resolution
- unresolved
- raw_fallback, observed 2026-08-15T18:13:58.935111Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5170009c-e2c7-439b-9d7a-603ba66625ae · outbound
This paper cites The combinatorics of frieze patterns and Markoff numbers.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges The combinatorics of frieze patterns and Markoff numbers
Reference 33
- Resolution
- unresolved
- no resolver link, observed 2026-08-15T18:13:58.781903Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation f51ea92a-8cb9-4cff-ac7b-a4e2a76df4ad · outbound
This paper cites Reutenauer, From Christoffel words to Markoff numbers.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Reutenauer, From Christoffel words to Markoff numbers
Reference 34
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:58.922431Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 0ddfc1c0-6c8d-4bbf-8467-ee8785225126 · outbound
This paper cites Schiffler, Perfect matching problems in cluster algebras and number theory , Open problems in algebraic combinatorics, 361–371, Proc.
On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges Schiffler, Perfect matching problems in cluster algebras and number theory , Open problems in algebraic combinatorics, 361–371, Proc
Reference 35
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-15T18:13:58.908512Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Pith citing papers
Observation 911f2897-1b40-4a51-9bc7-23bdb237bfe4 · inbound
Plane geometry of $q$-rationals and Springborn Operations cites this paper.
Plane geometry of $q$-rationals and Springborn Operations On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Reference 7
- Resolution
- verified exact
- arxiv_id, observed 2026-05-15T16:46:18.312767Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 33e850fd-8460-4188-a3bc-bbdc7bced75b · inbound
Wug-snake graphs and Markov numbers of matrix semigroups cites this paper.
Wug-snake graphs and Markov numbers of matrix semigroups On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Reference 15
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-10T06:26:27.010856Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation 5161228a-3e2f-4f20-8963-bb350527a989 · inbound
Cluster Expansions from Punctured Orbifolds cites this paper.
Cluster Expansions from Punctured Orbifolds On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Reference 23
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T17:56:06.298047Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.
Observation cad99e27-82f8-40f3-a496-0a9f95ad847d · inbound
Cluster Expansions from Punctured Orbifolds cites this paper.
Cluster Expansions from Punctured Orbifolds On $q$-deformed Markov numbers. Cohn matrices and perfect matchings with weighted edges
Reference 23
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-06-30T23:25:07.115957Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-17T06:30:58.91139+00:00.