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Paper Citation Record · LEDGER

Nuancing the unicity of $q$-rationals

As of 11 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 2026-08-11T06:34:44.6726+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=sha256:1250b3098db3176b6cdc704e28710b50f7d3365283a963b7e7165b8a07df0740

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=sha256:63c86dd7c05222d5e768c896fb1197c53d65feba3ceff25edc99c63b84440dbb

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:a2ade66f4be45dd2bd9c091dba9851d1d32ac93c65d58fabe89e7acf842b629a

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=sha256:0af41d1980fb8f3d5007e2f996d5ea9ffde7d4d69097ed885c714a98fd83b18c

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=sha256:99045e7940bd309512689bb5569eed0b50c4fce8dd1febc27d784778cf20877e

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:f683d45fc8eae3b9a4ce92af1b9586e528a0ef8015ad1ae6699077bcf1fbd8a2

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:bf2be270994b21352421c6736722f56ec49a2b21fdffd4f575e6575c4f7f3158

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=sha256:1fd68406f35a25f1c5bf70535e808d6fc6dd8707b922fbf679e603789d974ae5

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:fc9410683c68cda8ccc76dd52c221d490a4134ff5e682904989ff15747180012

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:cb0876eaf0ca69ab35e42a18af0d3a6175b6a578c5be84801d5ccda431fff25a

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:b7d784c7ffeb92cb4aaa4a4ea576ded47ba07a47db04d92c3308dbb239230c73

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=sha256:24e29da26d1de8d275d6786bbba81a3b3bea0ed6681566650a32da3141def1fe

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=sha256:4edb23579ee6250c6c50eaa6470d3cc007129e160d8d88f327658e1c94e16065

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=sha256:9e576fc401e180f05b0a5a8e0b1d2eacee527c1018712d91d4f88c89d6b7fbe4

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=sha256:60b7f6b0915752ef48c3bde39becf95081c4dbe1eab29a73a6d50a260bb72383

Pith citing papers

No inbound Pith citation observations are available.