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Paper Citation Record · LEDGER

Vector-relation configurations and plabic graphs

As of 23 August 2026, this Paper Citation Record lists 30 of 30 outbound references and 1 inbound Pith citation observation for arXiv:1908.06959.

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

pith.paper-citation-record.v1
1908.06959 v2

Coverage vector

measured 30 of 30 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:39:29.967141Z

measured 31 of 31 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:26:31.604580Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-14T12:26:31.891408Z

Reference resolution

30 of 30 outbound references displayed

  • verified exact4
  • verified fuzzy19
  • unresolved7
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d7dffaaa-2413-4684-bc4b-20fd574dbf4c · outbound

This paper cites Miquel Dynamics, Clifford Lattices and the Dimer Model.

Vector-relation configurations and plabic graphs Miquel Dynamics, Clifford Lattices and the Dimer Model

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:39:30.140106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.816025Z digest=sha256:c982db331d6f02439abb57430bf3b272600b8e3af28bcbf3bc5dba9954faf781

Observation 7118f9b3-636a-45d9-a2fa-18d63185eeda · outbound

This paper cites In progress.

Vector-relation configurations and plabic graphs In progress

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.573796Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.822702Z digest=sha256:dc269852faef4d2508521fc5f54543fab90751348e19c513d13438959880903b

Observation 0cca75b3-f367-4996-8232-a0270e130458 · outbound

This paper cites Bobenko and Yuri B.

Vector-relation configurations and plabic graphs Bobenko and Yuri B

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.553630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.826949Z digest=sha256:cb1844c6b48c5ee07137d3f6dcbc35c1135ecfcb64e3fe2c084243de0c7875a3

Observation 4ea8a691-235d-4891-826b-b16cdc3e843b · outbound

This paper cites Geometric discretisation of the Toda syste m.

Vector-relation configurations and plabic graphs Geometric discretisation of the Toda syste m

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.530602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.830883Z digest=sha256:94729e08c4e42c8fff9f9e961e4b982b31b635b8e1025b5d01f2beefb1523443

Observation 9a22d647-9db7-4030-98e0-29fc6b637f2d · outbound

This paper cites Multidimensional q uadrilateral lattices are integrable.

Vector-relation configurations and plabic graphs Multidimensional q uadrilateral lattices are integrable

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.506916Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.834571Z digest=sha256:bd49130f68b0362034e5890e98a0251a87e18c4bc6fe7c2266b7df6d28d7610d

Observation 11904a00-b1b6-4a4f-ad6c-a8b5df90385b · outbound

This paper cites Exact bosonization of the Ising model.

Vector-relation configurations and plabic graphs Exact bosonization of the Ising model

Reference 6

Resolution
unresolved
no resolver link, observed 2026-08-14T12:39:29.838419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:39:29.838419Z digest=sha256:5caa892f27bbcb75c4f56c5c606c8dd13eae0f50182d8c914383a3d3b6335c52

Observation 2909652a-42bb-443b-8328-54c2001f0b70 · outbound

This paper cites Inverse spectral problem for GK integrable system.

Vector-relation configurations and plabic graphs Inverse spectral problem for GK integrable system

Reference 7

Resolution
unresolved
no resolver link, observed 2026-08-14T12:39:29.842413Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:39:29.842413Z digest=sha256:a984f5c2da0b31e183b52d90d1e5162f7fd4a52aa5c4e7ecddfd81366fb4739e

Observation 642ea577-2ca5-402b-ace0-4661f8d93f40 · outbound

This paper cites Ising model and the positive orthogonal Grassmannian.

Vector-relation configurations and plabic graphs Ising model and the positive orthogonal Grassmannian

Reference 8

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:39:30.092306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.847233Z digest=sha256:f03181380f399296550822251399cb7917bee471c3d2e38a4709f7042acdf743

Observation e69e6aff-6568-4acb-a569-e7a8b06bba22 · outbound

This paper cites Higher pentagram maps, weighted direc ted networks, and cluster dynamics.

Vector-relation configurations and plabic graphs Higher pentagram maps, weighted direc ted networks, and cluster dynamics

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.490905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.853408Z digest=sha256:62355eaddc9de6166cf43618d6c89d8667938a550c2d35374739dad9aeed834d

Observation 9b53471d-174c-4c7c-ab72-e4e8f3064e8f · outbound

This paper cites Integrable cluster dynamics of direc ted networks and pentagram maps.

Vector-relation configurations and plabic graphs Integrable cluster dynamics of direc ted networks and pentagram maps

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.465116Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.859488Z digest=sha256:12c68fe9926960ea20b50d3cbc0950360a643e89664abac8c0bba273ae050bd0

Observation 9ee880b0-691a-4d86-a3ea-b7083c88ac33 · outbound

This paper cites The pentagram map and Y -patterns.

Vector-relation configurations and plabic graphs The pentagram map and Y -patterns

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.448905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.866985Z digest=sha256:bc3b68fb10d814bdf0c3dd5a7d442a9d6265659b8e9fb757edbbe3cedc7b2c39

Observation 08694488-9fdc-4661-a447-b442b85bd99d · outbound

This paper cites Y -meshes and generalized pentagram maps.

Vector-relation configurations and plabic graphs Y -meshes and generalized pentagram maps

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.430575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.877474Z digest=sha256:24977b494136db54c723ed2699a487977d77baff036f6f0917384eddbc06b3ac

Observation ee6f3cd7-b1f6-4cc7-8a39-57f6d2a512ab · outbound

This paper cites Goncharov and Richard Kenyon.

Vector-relation configurations and plabic graphs Goncharov and Richard Kenyon

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.416510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.883714Z digest=sha256:ce337177567b2fc33104e0065594c47062cc537adc412267fc6f1e1a9fb2241a

Observation 9fda0b41-3dd3-4137-b701-4b23716e007c · outbound

This paper cites Lectures on Dimers.

Vector-relation configurations and plabic graphs Lectures on Dimers

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-14T12:39:29.889685Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:39:29.889685Z digest=sha256:25344052a410f49fd8d70482bf72e7c8519712f751f3697c64414792e84ca97d

Observation 19c07e0c-c85d-4211-8150-922c565a8334 · outbound

This paper cites Dimers and circle patterns.

Vector-relation configurations and plabic graphs Dimers and circle patterns

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.401927Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.896469Z digest=sha256:95743e6d46926bd8cf7a2505e8e1c25d2a42f4ab77552216d1a5c9352fcd9454

Observation da7d39e5-93a0-4efa-9699-a87bfd85be12 · outbound

This paper cites Planar dimers and H arnack curves.

Vector-relation configurations and plabic graphs Planar dimers and H arnack curves

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.384994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.901000Z digest=sha256:2964f13a91695cfe6274dc30737ee9dd474e43f0f3262cc2a205c7bdd3c8f311

Observation 84ef721d-4c68-42bf-bb75-c153db916de3 · outbound

This paper cites Double-dimers, the Ising model and the hexahedron recurrence.

Vector-relation configurations and plabic graphs Double-dimers, the Ising model and the hexahedron recurrence

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.368114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.905931Z digest=sha256:52a6b3d032967180b90f3bc79a2ae0520fd3028cbcc80e166cb4b2aa8478bcf6

Observation fd8ea48a-9fc8-4431-9044-e36afad6cae8 · outbound

This paper cites Kenyon and Scott Sheffield.

Vector-relation configurations and plabic graphs Kenyon and Scott Sheffield

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.347560Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.911080Z digest=sha256:20083bcbc21f3d614ac62fcb118022e813efecae84f91e4748a3d35f7bc52027

Observation a951feb0-9cd2-4e1c-af20-be03a709c3be · outbound

This paper cites an unresolved cited work.

Vector-relation configurations and plabic graphs Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:39:30.326857Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.916303Z digest=sha256:3ea59c24230d2e2b3fa5beac367f3e5b7add087aacf166afa8e15049b0ade50f

Observation 9445fb24-e5d4-47a0-b9de-3c2549040ad8 · outbound

This paper cites an unresolved cited work.

Vector-relation configurations and plabic graphs Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:39:30.312065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.920635Z digest=sha256:8c03be45f203e20bde0211b280d49f4a58a9cdfbdb628da3b41d5d468b17ba3d

Observation a00e05de-8783-4b09-8ee0-696dca2611f0 · outbound

This paper cites Totally nonnegative Grassmannian and Gras smann polytopes.

Vector-relation configurations and plabic graphs Totally nonnegative Grassmannian and Gras smann polytopes

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.293511Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.924724Z digest=sha256:78f700645ab20631ba8a491fcfe8fd89605e7bc8521afe1f6be56b8cfb15f12b

Observation eaeb2df3-f556-4146-81e7-4eb31c4748e2 · outbound

This paper cites On the vector representations of ind uced matroids.

Vector-relation configurations and plabic graphs On the vector representations of ind uced matroids

Reference 22

Resolution
unresolved
no resolver link, observed 2026-08-14T12:39:29.928810Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:39:29.928810Z digest=sha256:97287b2c51aca03f8ac58a28b45c271cbcf382fe461aa2ec2d925965f33557a1

Observation b34ef8c4-d2d0-40de-822a-9ac0dabc3202 · outbound

This paper cites an unresolved cited work.

Vector-relation configurations and plabic graphs Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:39:30.258441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.932974Z digest=sha256:e28c6d55c393181e998e5b9d2ba44240737b7edb9872be62883ef905135698d5

Observation c172a4a2-35d3-4a68-bf60-6fbf3dc880c8 · outbound

This paper cites The pentagram map: a discrete integrable system.

Vector-relation configurations and plabic graphs The pentagram map: a discrete integrable system

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.240831Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.937589Z digest=sha256:d1d2477e4d600b52d9274ce7c139dcf45a7c9807811850bb9df06b9dfdf0eafe

Observation c1b43cc9-98aa-4b4d-9685-388e9bd58a5e · outbound

This paper cites Positive Grassmannian and polyhedral subdivisions.

Vector-relation configurations and plabic graphs Positive Grassmannian and polyhedral subdivisions

Reference 25

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:39:30.050068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.941652Z digest=sha256:9de6cc92e2b20bc8809efa8fc5440b63be3cf526a729aff5bd1fb0d3d2d87b17

Observation a656e12b-b079-46c7-9061-60636cae13e8 · outbound

This paper cites Total positivity, Grassmannian s, and networks.

Vector-relation configurations and plabic graphs Total positivity, Grassmannian s, and networks

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.224658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.947492Z digest=sha256:940788d960f14b9cc0f6b6c7ed64022b5ec5fb773959e7d160c9a368e9fe62b8

Observation 7a29000e-8413-4dbe-b42b-d732aa6476a9 · outbound

This paper cites Lattice geometry of the discrete Darboux, KP, BKP and CKP equations.

Vector-relation configurations and plabic graphs Lattice geometry of the discrete Darboux, KP, BKP and CKP equations

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.204251Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.951527Z digest=sha256:ac8c9874ac2608ceeec1e4ca2b9b4916a788d4c02106d90d728188495cacc509

Observation 97278587-898f-4958-9ed3-603842c1ef99 · outbound

This paper cites The pentagram map.

Vector-relation configurations and plabic graphs The pentagram map

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.186652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.956694Z digest=sha256:3ab5399c2b1162542bba3167ef198a5b998a0699db3f83729717c399ac33dc73

Observation 28494d34-77de-4ec1-9e48-c72b07387443 · outbound

This paper cites Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian.

Vector-relation configurations and plabic graphs Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian

Reference 29

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:39:30.021955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.962105Z digest=sha256:71fd28cfe0ed851337bd2d5aacaa7504fb6de297ccaa71700442dfdba0bd7d26

Observation 2dc2b3f8-af71-429b-b485-8003d04f97a3 · outbound

This paper cites Combinatorial formulas for Γ-coordina tes in a totally nonnegative Grassmannian.

Vector-relation configurations and plabic graphs Combinatorial formulas for Γ-coordina tes in a totally nonnegative Grassmannian

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:39:30.160851Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:39:29.967141Z digest=sha256:d26f38f35e2edda79bf314bf6d6eb0c29fbcccc76214c032febf629db62a3c80

Pith citing papers

Observation 224493ae-4445-4f60-afd6-c87f49fcffa6 · inbound

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians cites this paper.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Vector-relation configurations and plabic graphs

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:26:31.895559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-14T12:26:31.604580Z digest=sha256:df457c3504dd24d72825b26c0926385ad6808e7f5986a63c575da983d2bcfd2e