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Paper Citation Record · LEDGER

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8)

As of 8 August 2026, this Paper Citation Record lists 26 of 26 outbound references and 0 inbound Pith citation observations for arXiv:2507.18432.

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

pith.paper-citation-record.v1
2507.18432 v1

Coverage vector

measured 26 of 26 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T14:35:52.700919Z

measured 26 of 26 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+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

26 of 26 outbound references displayed

  • verified exact0
  • verified fuzzy21
  • unresolved2
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch3

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 18cf20f7-8f8f-4c4b-8822-1e0f3c859a57 · outbound

This paper cites Journal of the American mathematical society15(2), 497–529 (2002).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Journal of the American mathematical society15(2), 497–529 (2002)

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.101938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

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Observation 5425efaa-b274-4f56-96c1-689017cfaadc · outbound

This paper cites Proceedings of the London Mathematical Society92(2), 345–380 (2006).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Proceedings of the London Mathematical Society92(2), 345–380 (2006)

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.088412Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.601008Z digest=sha256:b6c31caa13b3ce8a63402fb7628d51c989c16ceed80fd288c80e5ce187c1cbaa

Observation c5fe28d1-423a-48e9-a52c-e6c1603e6944 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Total positivity, Grassmannians, and networks

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-06T14:35:52.605384Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:35:52.605384Z digest=sha256:62e85e49fbf14792fe5b9e300f2b42b303e1401d7571e3a70bd0a47d68e1960e

Observation b2ddbd88-ad21-42c0-812e-f41246669384 · outbound

This paper cites International Mathematics Research Notices (2008).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) International Mathematics Research Notices (2008)

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.074675Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.610349Z digest=sha256:cb47057770a666a1e9f0750003b29fc1c0857f9f7524ecdc82dcdd521246f140

Observation f3b41ad5-8b92-40a6-82e2-ed9cf0a00db0 · outbound

This paper cites Advances in Mathematics122(1), 49–149 (1996).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Advances in Mathematics122(1), 49–149 (1996)

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.061414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.614784Z digest=sha256:97afc82ec9c7cbe3193cd8c83e9387a58ee59799ba827e6a993a92dae1e76c4d

Observation cd107586-9002-4358-869d-69cba0d74c20 · outbound

This paper cites Communications in Mathematical Physics341(3), 821–884 (2016).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Communications in Mathematical Physics341(3), 821–884 (2016)

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.048447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.619214Z digest=sha256:4c6d9417a7a7607df22937ef4899f27c1adce68d230d3d02585107a6f5ec6be0

Observation c6d53714-2a57-4035-aef2-8d45ef39a9fa · outbound

This paper cites Proceedings of the London Mathematical Society115, 1014–1071 (2017).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Proceedings of the London Mathematical Society115, 1014–1071 (2017)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.034769Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.623766Z digest=sha256:640c0420a5dc688e6e74b363aea996058cc2ecac46901a2b2c3dd8d1b29cf379

Observation 68e436ba-f1aa-44db-9d87-739ec5016301 · outbound

This paper cites Communications in Mathematical Physics180(1), 109–151 (1996) 30.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Communications in Mathematical Physics180(1), 109–151 (1996) 30

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.021396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.627858Z digest=sha256:7fc3a689c479378336f6e779e71737079ea766800a9a82990c0e2a13b0125e84

Observation 914d33f2-7995-4242-9f2d-7884ba42bfa7 · outbound

This paper cites Advances in Mathematics300, 717–787 (2016).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Advances in Mathematics300, 717–787 (2016)

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:53.008010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.632339Z digest=sha256:556bfd39a41906878463270f02639c4d42d634508ee7195cdd1634326df91ee3

Observation 58f41f2f-2c41-4b05-80b9-5e546dec12d8 · outbound

This paper cites Mathematische Zeitschrift296, 1539–1583 (2020).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Mathematische Zeitschrift296, 1539–1583 (2020)

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.993787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.636297Z digest=sha256:feb80ab39b50e8038b280446e4d7eb2dce9592d984cb95884066c0c3560a4270

Observation 7da34c95-a0cd-4434-98d0-65599d3f860d · outbound

This paper cites Rotation-invariant web bases from hourglass plabic graphs.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Rotation-invariant web bases from hourglass plabic graphs

Reference 11

Resolution
unresolved
no resolver link, observed 2026-08-06T14:35:52.640102Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T14:35:52.640102Z digest=sha256:f50189b75da3164197eefcb0d8822e1fa0b042ea2f2e020e1713889974b3e5ba

Observation 9b3a251e-1f19-40ed-825b-5c2deca89d25 · outbound

This paper cites Journal of the London Mathematical Society92(3), 633–656 (2015).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Journal of the London Mathematical Society92(3), 633–656 (2015)

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.980775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.644797Z digest=sha256:dad5977064eb85927f704cc4b949462acef5a63a740aa28c80ed70abf8a7a217

Observation 50cb7f34-f8c3-43eb-a221-26087e47889e · outbound

This paper cites Transactions of the American Mathematical Society371(9), 6087–6124 (2019).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Transactions of the American Mathematical Society371(9), 6087–6124 (2019)

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.967748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.648794Z digest=sha256:62bd6a1730b4a0e6c3d5fe7908dab0c42d9b381dff1d091ad13c55ab9518dc9e

Observation bdf2e1fd-9651-4c50-9c69-79668d93fda8 · outbound

This paper cites Twists of Gr(3,n) Cluster Variables as Double and Triple Dimer Partition Functions.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Twists of Gr(3,n) Cluster Variables as Double and Triple Dimer Partition Functions

Reference 14

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T14:35:52.783187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.652605Z digest=sha256:26e5c09839bc8f2468a2295bfb6f13de0bb43a9cd4c807f808ac5763ffcdb435

Observation a00b0e51-2a99-40ca-8673-3284c518f83d · outbound

This paper cites Journal of Algebraic Combinatorics38(4), 851–862 (2013).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Journal of Algebraic Combinatorics38(4), 851–862 (2013)

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.953688Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.656815Z digest=sha256:a278cc867a34e39970d5c618078a3caae64dd3ec0c3ce78a7ec4fa91dd75af2e

Observation aa6de7d2-ed0d-4640-9780-34bfe8d3cc08 · outbound

This paper cites Advances in Theoretical and Mathematical Physics 27(3), 797–828 (2023).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Advances in Theoretical and Mathematical Physics 27(3), 797–828 (2023)

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.940326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.660823Z digest=sha256:bde847372235ca053529cb9e5723ed9b0cf9f96dc4a7437b926bd0fb7fe8aa46

Observation 49e2899c-49be-4cce-a1fc-9c6508e3dcc8 · outbound

This paper cites Modern Birkh¨ auser Classics.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Modern Birkh¨ auser Classics

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.926891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.665088Z digest=sha256:468993440a3911b2b7a9fc197d1ccb07501a6c2891cbd7a5b61befa8d058c172

Observation 002a5509-0198-4453-8da5-b0fcb5706080 · outbound

This paper cites Transac- tions of the American Mathematical Society360(7), 3429–3472 (2008).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Transac- tions of the American Mathematical Society360(7), 3429–3472 (2008)

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.913463Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.668923Z digest=sha256:048688468e94c45d40910ea259d3705f56cbeb0cfb9f8de66d614215ba34021b

Observation 5b809df2-d754-4045-8d76-287b14ddc060 · outbound

This paper cites Mathematische Annalen360(1–2), 351–390 (2014).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Mathematische Annalen360(1–2), 351–390 (2014)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.899438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.672759Z digest=sha256:0852411c9810dc533d3422deaf9912206ea1dc1dd37c42b267f96a67f82811e6

Observation 5df0ee79-b519-48d9-aa87-99694aa68f84 · outbound

This paper cites University of California, Berkeley (2007).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) University of California, Berkeley (2007)

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.884342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.676825Z digest=sha256:18d30b43a6fa00ca9b767d0ee023af44ff52d90912de33feb0eb9fa97ce6c8e4

Observation a7ddad54-54bb-4374-b668-c550e8f444c5 · outbound

This paper cites Graphical Calculus on Representations of Quantum Lie Algebras.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Graphical Calculus on Representations of Quantum Lie Algebras

Reference 21

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T14:35:52.764326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.680640Z digest=sha256:45c07f9959ae7ce36cb32e88c6d4c66d44789c32667ffd658f98bf694af61401

Observation 3a7abbb7-9bf1-4fb4-8d92-c2af0c38d700 · outbound

This paper cites Discrete Mathematics2(1), 73–94 (1972).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Discrete Mathematics2(1), 73–94 (1972)

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.870881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.685158Z digest=sha256:fe7d784a33821fb5cf367cca45e73aaeedeb5e01e65ba15be7f99253cc136d06

Observation 90c788c3-b3c2-4df9-9624-e3aaeb678e3c · outbound

This paper cites Combinatorial Theory4(2) (2024).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Combinatorial Theory4(2) (2024)

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.857115Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.688999Z digest=sha256:91c2b3318a012907dcc4f4c49d2a81401ce00b8373782a7397cd393a58ac59c5

Observation eb4418c4-a75e-495e-a31c-3b425232c3c4 · outbound

This paper cites Web bases in degree two from hourglass plabic graphs.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Web bases in degree two from hourglass plabic graphs

Reference 24

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T14:35:52.743717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.692886Z digest=sha256:433fcde4c9700c4111e0c0a7202bc54f64693dc6aa8c60c9cdb426c8c11b4acc

Observation db61d4b3-b93b-4717-b17a-901157892574 · outbound

This paper cites Journal of Combinatorial Theory, Series A161, 1–28 (2019).

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Journal of Combinatorial Theory, Series A161, 1–28 (2019)

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.843277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.697123Z digest=sha256:be8f317807a24e2ddbab83e2e4bdff4a5ec6da718493a1f8e876753683be5e37

Observation 224d54d0-deb8-4d83-b7c9-63c1d7a5fae5 · outbound

This paper cites Journal of Algebraic Combinatorics35, 611–632 (2012) 32.

Web Diagrams of Cluster Variables for Grassmannian Gr(4,8) Journal of Algebraic Combinatorics35, 611–632 (2012) 32

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-06T14:35:52.828833Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

source=pdf_text observed=2026-08-06T14:35:52.700919Z digest=sha256:ed5d3bb2fd872b53449397c16567b293588fce8b62bb2211a8e8ce3982b62e6b

Pith citing papers

No inbound Pith citation observations are available.