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Paper Citation Record · LEDGER

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

As of 19 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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.601008Z digest=sha256:9e8433fda09a16dd67273e43031dfc58081789fb95f22dfabdc5b65481f08e20

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:b86b7a426f4a81f682359485326778e98c3cb91516acc656d75f68416049a676

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.610349Z digest=sha256:24fc429e3d0bc1a2f365c1b62aa8aff97182dc0ba69d14c5c656dd610b06cc6e

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.614784Z digest=sha256:92c93cf0be448184bde98a85e6d739f51ab71eb80b557bcd28ae0e3dca32c920

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.619214Z digest=sha256:cd768b3a19775c787a79ea97fe4d6703b16ac5122e0447c6e5bba0f19623bcff

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.623766Z digest=sha256:3d7c6a2618a627c279ae2e95d53fa7ac31cb44552a8b1963672b84145d328f18

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.627858Z digest=sha256:8ebdb47f5555e79c151a17ea3b6519850e5e07ce985ab08fd1fd1c6188256456

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.632339Z digest=sha256:0a2c3fdb932cb658dac5c53c6222da6d8e3da1905c794cdf60fa609e2a35fca6

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.636297Z digest=sha256:d55b3c366d0e6c0d6aeb22f3ad3b6d8ff106fb671525e51d22ba34f7c56fab9a

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=sha256:31c46bc9b24d681faca887f582db51eb550afa3e51a131f2512eb0db0fcc4074

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.644797Z digest=sha256:de2c3ad3bc792ad9b58b178dbdcf119bd2e210045b32059a12cf4e26cab9666c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.648794Z digest=sha256:dd29a2ee1843fb350fd196decb11f9df08431908d5c17ceb626167650a2945ff

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.652605Z digest=sha256:507d29831e254cf05edf8b13ff22f6eb3f5bd80ffad379ad8d693d7e5021a8a9

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.656815Z digest=sha256:0b92a4fb023790ac93dad95d1faece63e000f66f65d6b3c1e5265fa8209abac4

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.660823Z digest=sha256:f7018d97f12eb404263ffc0241934995479790a4aa24b06c21bd01cfe8330ea8

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.665088Z digest=sha256:dd50e7d5991e5c0ad70f09e8e3d3cb73866bc988fdd0d1a56244cb628e70d159

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.668923Z digest=sha256:5a1cab53fe937ee46196192c14d1d1147303c7e1501dbbb29a9fdec5fef37f1c

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.672759Z digest=sha256:a660bc8238006a8a05690aaa3c35aa183cc9dc15748555313fe5cc2cf7d49554

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.676825Z digest=sha256:2cb4d7dec397b0386f41f73a98a923ea62371303d00da41e1819940a5179fd74

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.680640Z digest=sha256:f074f474a68cfc8c23a255b25669e11bf4243c722fab37c3e475ea5670fcde06

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.685158Z digest=sha256:d73d718e23419add283427b0073e800d68e1204a9d147e741d72314f81f5c757

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.688999Z digest=sha256:704c8ad5010e24947f5490f21c32894a431085d0a8300d0ee11393046ed48688

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.692886Z digest=sha256:4c531643ad5366019779919a932fb87027b9876a3e933a5d6ac5c052617a5162

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.697123Z digest=sha256:fa8c895e2d8139b7724508244d7c083be2501e284b3d2f2103a12db6005d2743

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 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-06T14:35:52.700919Z digest=sha256:124fe34e9cdd5a7fa75ed1573f3fd5297c12a85a26c62aae0c0891fc3a5fe5ce

Pith citing papers

No inbound Pith citation observations are available.