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Paper Citation Record · LEDGER

Frieze patterns with coefficients

As of 18 August 2026, this Paper Citation Record lists 12 of 12 outbound references and 0 inbound Pith citation observations for arXiv:1909.02332.

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

pith.paper-citation-record.v1
1909.02332 v1

Coverage vector

measured 12 of 12 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T05:20:52.513193Z

measured 12 of 12 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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 exact1
  • verified fuzzy6
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 0a9b70c6-6a9b-4774-9659-c808337d5322 · outbound

This paper cites Broline, D.

Frieze patterns with coefficients Broline, D

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:52.704021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.468986Z digest=sha256:06db041adb4ec91841228060222fec3ca7f4a25e716fc9ba7ad1419668c7a308

Observation 4d50f2e7-4914-46bd-a3ff-8fb5e784c932 · outbound

This paper cites an unresolved cited work.

Frieze patterns with coefficients Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:52.691899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.473581Z digest=sha256:855bf8f747363412a65762a8308f019de6ee8df0bc3703f1a5ab1f25fe1ec6e3

Observation e0f0700b-9662-4795-8d7a-3158335893c0 · outbound

This paper cites an unresolved cited work.

Frieze patterns with coefficients Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:52.681101Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.477577Z digest=sha256:33b87b221bc9fe857b9bab60c6e848bfae9f2e37311bb5c08805521a2668efed

Observation 59366c29-dd58-4a93-a12d-6646b42b5606 · outbound

This paper cites Cuntz, On wild frieze patterns , Exp.

Frieze patterns with coefficients Cuntz, On wild frieze patterns , Exp

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:52.667422Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.481413Z digest=sha256:d01be7b64dc231b498e2a783ae20d4c3634dfbf404cff6f6689fbc490fce635a

Observation 93bfef01-7418-489c-af09-331d2250e5e4 · outbound

This paper cites an unresolved cited work.

Frieze patterns with coefficients Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-14T05:20:52.655030Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.485549Z digest=sha256:1fb1c8567373733e9fd553546a1e77e49237c271b9d25f16552e291cb3a64558

Observation e720e65e-206d-452a-9ddd-d06b43f9ea6f · outbound

This paper cites Cuntz, T.

Frieze patterns with coefficients Cuntz, T

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:52.640766Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.489324Z digest=sha256:4b7ad87065647f80ba25b88b7c33d5f48584acaac1a92bf4e72efe46d73876e5

Observation ae4dabcb-eda3-4752-9a4c-cc2af674c3bf · outbound

This paper cites Introduction to Cluster Algebras. Chapters 1-3.

Frieze patterns with coefficients Introduction to Cluster Algebras. Chapters 1-3

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T05:20:52.493481Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:20:52.493481Z digest=sha256:6dc1d84cdd1250cea27ae7278396b4a4b9854457c151222b4a975756cb198094

Observation 05c2e530-43b1-499f-8f8e-b5d9a31199b6 · outbound

This paper cites Fomin, A.

Frieze patterns with coefficients Fomin, A

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:52.625346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.497627Z digest=sha256:64581a06d2e9491e12179c2da82e8abe95377ed801a110a81724520fa3ea5218

Observation 4768bb81-b8a8-4cf4-a3cd-0186234ebe7e · outbound

This paper cites A $p$-angulated generalisation of Conway and Coxeter's theorem on frieze patterns.

Frieze patterns with coefficients A $p$-angulated generalisation of Conway and Coxeter's theorem on frieze patterns

Reference 9

Resolution
unresolved
no resolver link, observed 2026-08-14T05:20:52.501207Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T05:20:52.501207Z digest=sha256:2955129ca6e8e8b0c67fa9a96d40fff1bba8dc7f985d14d38eef87bd2e050756

Observation 45cc2c1a-406e-4e94-9f9b-5c37e01f5d8c · outbound

This paper cites Morier-Genoud, Coxeter’s frieze patterns at the crossroads of algebra, geometry and combinatorics , Bull.

Frieze patterns with coefficients Morier-Genoud, Coxeter’s frieze patterns at the crossroads of algebra, geometry and combinatorics , Bull

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:52.611899Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.505286Z digest=sha256:bfd0aabb8cfe1aa0883dda19f4edc392b6c16085981334a9166627008acbc1e8

Observation 67f705c0-9452-4866-80a3-ede8b38ec1ed · outbound

This paper cites The combinatorics of frieze patterns and Markoff numbers.

Frieze patterns with coefficients The combinatorics of frieze patterns and Markoff numbers

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-14T05:20:52.551733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.509138Z digest=sha256:03bac0c22a42f8bfea3b615860e9cfa0c75dfc573b96f800273236cbd81b6aeb

Observation 7c84b673-3244-4061-8042-639d7fe8b55f · outbound

This paper cites Schiffler, A cluster expansion formula ( An case), Electron.

Frieze patterns with coefficients Schiffler, A cluster expansion formula ( An case), Electron

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T05:20:52.598200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-14T05:20:52.513193Z digest=sha256:105e5262fdcf9fdca4bf8acca43d5e1c73f5362326b2ac1a0683a9514ac2f5fc

Pith citing papers

No inbound Pith citation observations are available.