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Paper Citation Record · LEDGER

Skein relations for punctured surfaces

As of 20 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 5 inbound Pith citation observations for arXiv:2409.04957.

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

pith.paper-citation-record.v1
2409.04957 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 5 of 5 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 5 of 5 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-08T15:38:12.897245Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-04T08:09:41.739450Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation b6ef3251-8102-4c0d-9f85-859114f9576f · inbound

A multiplication formula for cluster characters in gentle algebras cites this paper.

A multiplication formula for cluster characters in gentle algebras Skein relations for punctured surfaces

Reference 2080

Resolution
unresolved
no resolver link, observed 2026-08-08T15:38:12.897245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-08T15:38:12.897245Z digest=sha256:80276f6124adddeea3ff9ce9ddaa82b036e84ae3744af7fefc9c1f7608a5e64b

Observation ebdf5d56-e208-437a-8262-8f92ba950f81 · inbound

Unimodality and Cluster Algebras from Surfaces cites this paper.

Unimodality and Cluster Algebras from Surfaces Skein relations for punctured surfaces

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-05-19T00:31:55.640519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-19T00:31:24.404496Z digest=sha256:fdb54528ea328f827ef0ae861d08c3e126f315102e98e990d4c94d97aee6ae02

Observation 200fb955-3d57-4c34-9205-65e4bcae48a6 · inbound

Orderings of k-Markov Numbers cites this paper.

Orderings of k-Markov Numbers Skein relations for punctured surfaces

Reference 3

Resolution
verified exact
arxiv_id, observed 2026-05-17T02:01:25.648130Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-17T01:59:30.046231Z digest=sha256:e556850687cfcb479f8331e74f341a51da727be602e490f0765de7ea36055dd3

Observation abc22947-2620-4612-b6c5-9eeae8625ff5 · inbound

Orderings of Generalized k-Markov Numbers cites this paper.

Orderings of Generalized k-Markov Numbers Skein relations for punctured surfaces

Reference 4

Resolution
verified exact
arxiv_id, observed 2026-05-10T06:01:13.281655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-05-10T06:00:03.812477Z digest=sha256:92d829af77632b28407743966eb89c0bd1e0fd573f669c158616d8f8cc9e4a2e

Observation 00ebe6f2-ddb1-4024-8099-e9926c2b4a70 · inbound

Higher $q$-Continued Fractions and Dimers on Band Graphs cites this paper.

Higher $q$-Continued Fractions and Dimers on Band Graphs Skein relations for punctured surfaces

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-07-04T08:09:41.740946Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

source=pdf_text observed=2026-06-26T12:04:28.805139Z digest=sha256:732e1dfe7db5b5b3941f188978ab74bba43f8980af6264abf184fb5634ddbede