Pith. sign in

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 2026-08-08T06:32:00.761636+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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.596064Z digest=sha256:af24601220b1967b0841de72e27b3182bf4a15c8df98eb70fcb2696eba89302d

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.601008Z digest=sha256:5f9fcb83dd085047d2a8de2e21d5f3d5689ea2544c86133c4ab58154ff89a7da

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.610349Z digest=sha256:9e4b578718a9a9f39b5991e0e38c4748c0a129994f0cdb46389f7a33dfc54d76

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.614784Z digest=sha256:5d443df168e89065296edd28c23ddc6ad6776b7c0c7782b9a7da9af3eaa6071c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.619214Z digest=sha256:2e5222be0ba48bb59d291159b20d7a846db8132bb995b2f63bb0dcedda35d6e5

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.623766Z digest=sha256:6e5004822d9aeddf9f20ceeca570f19509b157281f824698043769c5da4fe0ad

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.627858Z digest=sha256:ebe69114e4dccfcd2b495ab2df718c63a216e8eb9e678ae80e5adac17acb2c9a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.632339Z digest=sha256:a7f08d6d972bd1f5cf4aaf9a588a0c6e2d08a774c5fb4170254a4b6de1f6a75c

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.636297Z digest=sha256:10c0c4007352d9b8e8945ff1005ddac011901a6e8c11b86fc6b806e114210482

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.644797Z digest=sha256:435494e0c6b60b92465196db105d67b48d80b975c2e6de69def299d102c2fe39

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.648794Z digest=sha256:45b741f650400f4dfb8eea1e5cf07559ba3fa4a9b3832ed39b4b8b6b3d62b7b8

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.652605Z digest=sha256:c8f60326dfbe645f25add9348044157dce04944bd07e175dede7a7a6389a5f8e

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.656815Z digest=sha256:c463e6d1dbdb9107e7fc687ff5fe3366fe5ec815c735c60c326085ef231fc7b6

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.660823Z digest=sha256:f65799e6610b4dcf664e24a31109151c4eb8160a1bcec42d74aa2b235d469050

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.665088Z digest=sha256:d09db2769c900a707cbb7870acfcf51a009cba2b8acdb483e4e6a2f53a4be763

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.668923Z digest=sha256:d6cb14b7690fb80d6ccc355edd0dffc72d26902e1cf6f7225c630b539588d196

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.672759Z digest=sha256:ee0386698ef14594fbc322d24c913d7ae476dd94a4def87ca53388d26dd70363

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.676825Z digest=sha256:baa4e4e2bd14c9632afb7bf089239ed1a9551647c7a232e6c1a9acf16a0b1ecf

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.680640Z digest=sha256:cec0d3d3772ff33b08e78d7047b120b83cf7ca3198f0e296e3774240af6fd21b

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.685158Z digest=sha256:1de2dc0691f1e55200080bd538bcbe13394350c6a7e6467bd0070dafa06ac423

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.688999Z digest=sha256:58533759aca8f1b55cbda22336c986d9579ee7758926b31af136cf64f444580a

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.692886Z digest=sha256:f0d8d8b7972d0dab5b77e91615eedfc232f88461f250293fb4b6066678aba3ea

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.697123Z digest=sha256:fcf95cd683266c5b2901f817075f0ba1abd10b8a7e4c8cea85fc9484a50ae506

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 2026-08-08T06:32:00.761636+00:00.

source=pdf_text observed=2026-08-06T14:35:52.700919Z digest=sha256:d4b62713a7117b7cdcf6158668184c30e42ce817264d47bf2745ae615895c7ef

Pith citing papers

No inbound Pith citation observations are available.