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Paper Citation Record · LEDGER

Nuancing the unicity of $q$-rationals

As of 15 August 2026, this Paper Citation Record lists 15 of 15 outbound references and 0 inbound Pith citation observations for arXiv:2607.22308.

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

pith.paper-citation-record.v1
2607.22308 v1

Coverage vector

measured 15 of 15 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-01T05:25:05.866733Z

measured 15 of 15 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-15T06:32:42.880941+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 fuzzy0
  • unresolved15
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a1174f84-aad1-464b-bd0b-80ae59c0701e · outbound

This paper cites $q$-deformed rational numbers and the 2-Calabi--Yau category of type $A_2$.

Nuancing the unicity of $q$-rationals $q$-deformed rational numbers and the 2-Calabi--Yau category of type $A_2$

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.147321Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.147321Z digest=sha256:77a8de82388798292bfadd90e99465a520c0c61d63429b82a9f08f8a02c7a37c

Observation d46cbda4-8301-4751-8f56-f02cca5da252 · outbound

This paper cites Culler and P.

Nuancing the unicity of $q$-rationals Culler and P

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.250355Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.250355Z digest=sha256:26fc8eab437094a0804d8dbc81f7685cf3ffbf7ef71ad5b8fa1a14bae58378b8

Observation 51966de1-8c32-44e1-a120-8314d70245c8 · outbound

This paper cites an unresolved cited work.

Nuancing the unicity of $q$-rationals Unresolved cited work

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.359509Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.359509Z digest=sha256:2eb81673cf38fdd94ea5031fdc80067ec8a89e3b2fb75f9f8c36fd204dfa0232

Observation 0aefb4ef-b6e8-41f5-b564-5e7bcf4bd95b · outbound

This paper cites Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces.

Nuancing the unicity of $q$-rationals Trace Coordinates on Fricke spaces of some simple hyperbolic surfaces

Reference 4

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.489577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.489577Z digest=sha256:0dbfc57059d8d2c115e73f24aaa8df324c0ebf8dfaf43b348e36e1bf69e4d42f

Observation 03a14290-c0fb-4886-a1f5-d3f8c73b3bf6 · outbound

This paper cites Symmetries of the q-deformed real projective line.

Nuancing the unicity of $q$-rationals Symmetries of the q-deformed real projective line

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.640150Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.640150Z digest=sha256:a7c8ec9c71783d1af868093a2138c76b5f70fa19654950da86396b8aae2b1f16

Observation 48ab3e5e-9979-4145-9e81-800df97dcc27 · outbound

This paper cites Plane geometry of $q$-rationals and Springborn Operations.

Nuancing the unicity of $q$-rationals Plane geometry of $q$-rationals and Springborn Operations

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.750824Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.750824Z digest=sha256:1c4d40d1b8ed4767bbdea853e69f0f513225c51fcd02f63a1f4d1857dcf0f4e7

Observation fda3bd81-bcfd-407d-90ac-3329679b6418 · outbound

This paper cites an unresolved cited work.

Nuancing the unicity of $q$-rationals Unresolved cited work

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.844459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.844459Z digest=sha256:44279be801333d5c9a524071cc749018ae604719318f404ebc9906f2eec2dd63

Observation a2e81482-2611-4a9e-af24-c490931502ff · outbound

This paper cites $q$-deformations of the modular group and of the real quadratic irrational numbers.

Nuancing the unicity of $q$-rationals $q$-deformations of the modular group and of the real quadratic irrational numbers

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:04.924454Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:04.924454Z digest=sha256:cdb971872aeb64cb1f6a0492a9f0da5cdc67d165df6509c19fab4e53b9007fbd

Observation 4037bcf8-70f2-4ea2-b21e-a829da8a5d2b · outbound

This paper cites $q$-deformed rationals and $q$-continued fractions.

Nuancing the unicity of $q$-rationals $q$-deformed rationals and $q$-continued fractions

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.038879Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.038879Z digest=sha256:705c2a37623556c8023cf3a05b974aebaf28125ff7f3f8a080dc2a03af61761b

Observation 089cec2f-290b-4132-8e32-2c9b63305e31 · outbound

This paper cites Morier-Genoud and V.

Nuancing the unicity of $q$-rationals Morier-Genoud and V

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.200732Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.200732Z digest=sha256:394209e616540452c11db5e8ffdd44e419a599da7f46854c4c20bfeacccb5c79

Observation ef6376c4-8763-4655-a3e6-5bcbc458f4f5 · outbound

This paper cites an unresolved cited work.

Nuancing the unicity of $q$-rationals Unresolved cited work

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.354642Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.354642Z digest=sha256:b33bf308b55b935ad7ab78f508b5b9daf82fb62883ffca4bba2cb312492318a1

Observation 1f6c502f-13dd-4b06-8306-7815476954f2 · outbound

This paper cites an unresolved cited work.

Nuancing the unicity of $q$-rationals Unresolved cited work

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.466062Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.466062Z digest=sha256:5195f3caa5231ba8eebe6a11dc79ed09845d15e022a9cc0346dcb3bba599ab93

Observation 03142783-c962-4158-84d2-7d391142111d · outbound

This paper cites an unresolved cited work.

Nuancing the unicity of $q$-rationals Unresolved cited work

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.574122Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.574122Z digest=sha256:a198b3bd0b412d4bf1db50f9404400a6d8505763d93428290548de3ec506385f

Observation 98850317-353e-4d02-b650-cd496cc09a41 · outbound

This paper cites an unresolved cited work.

Nuancing the unicity of $q$-rationals Unresolved cited work

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.727133Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.727133Z digest=sha256:e0c0439941c282c6e31342496c1f3b57e867ee581c26c62523852c96e1d3b191

Observation c79fb1e9-fdad-49f1-81b8-a21af5094a13 · outbound

This paper cites Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra.

Nuancing the unicity of $q$-rationals Infinitesimal Modular Group: $q$-Deformed $\mathfrak{sl}_2$ and Witt Algebra

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-01T05:25:05.866733Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T05:25:05.866733Z digest=sha256:a9a66073d11a9fb67aa60532e73b05e89a4de532e121c37aa8eac7de82364e0d

Pith citing papers

No inbound Pith citation observations are available.