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Paper Citation Record · LEDGER

Vector-relation configurations and plabic graphs

As of 16 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 2026-08-16T06:30:59.297886+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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.816025Z digest=sha256:540eaf3d1a9cf48b42a4d4f772c486360f937ce894fc70aa0ed932c0562005aa

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.822702Z digest=sha256:66ab9e08d65db91f805b234adc89591e5a56ae6444240e84d4157c398d722e46

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.826949Z digest=sha256:8e2a5b0f28128efe65d89d8dc2ad80019b20b748a95419f267d5374631dbb3ca

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.830883Z digest=sha256:6f5802a9365c18baa876828f45e8b45e0c688754ef9cd30eacf76fa67943c76f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.834571Z digest=sha256:19e1fed54842b498696cfbf4f88c9289412ab5e7ae5259df533c4d233d944e70

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:dbcb8371888a2c213fd7d13345575a9ab19e0b1ca84e2a6c64e7a9fc062f15cd

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=sha256:0c3cde17164ced66a2f2fe2df90b6968ea358ab224e097fe50d180f564e1f937

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.847233Z digest=sha256:8011e596fc2f416722d9f066a6e59fea34f420785a334a47bd31930d7c438825

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.853408Z digest=sha256:c815616cc46d8bd3797cacaadfd809124449ff27b7d22c64f60e55cad110ac57

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.859488Z digest=sha256:9edee52fa16196962fdc7cc4b4358bb37974a7f802e175cf3b7f8a958e8cd405

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.866985Z digest=sha256:82e7bed81b71d4bce5caf3630af39a897ea345a754587e66492dea0518e3193c

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.877474Z digest=sha256:3d3e8bc6a1d12e0405e8faa5957d150a336f2a3835d7f9b29088b8868e7d2e83

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.883714Z digest=sha256:ba2b255e0d2dcaaae7021e276a9b2dff00eb1918ab61a7914dc35eb8aee55bf8

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=sha256:9758d732d1cb7021a7551925c4a44d669abd25a20a08c7b82e8abd14b0949d26

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.896469Z digest=sha256:b37517e7f377126fe673f9f8d85251d8641cf3c5e7dd818734efba927ea0a7e2

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.901000Z digest=sha256:8ea3ebd9eceaaa1390037c5f2a4af64139e9f309e1d61d57e9ad6033a0535996

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.905931Z digest=sha256:b357e8a52d58793509380eaad7f2d02781c981fb602e895da55fdde9b109082d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.911080Z digest=sha256:edbf6fc30a355dd4d3f0c166e601899967fcbca94e482dbce25d731ff8b802c8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.916303Z digest=sha256:cf2db7635e982c15dbc4c990b16eca7cb13a705b037b1dd13da436e67bfe263d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.920635Z digest=sha256:9cecca5b022ab01665cffe7c8123b54d6f718c4f6fd0fb3da6d71eb6a6a5a771

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.924724Z digest=sha256:8b633bf4a4dca27fbad1308a28282c6339287dc35ce62f42c0ca79c2600da57c

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=sha256:89367e3fe50a828f3000f60d21f9e7b7cfc8c005c68ba6b3a5fc6bc61cd29eeb

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.932974Z digest=sha256:3cf868b8e6145c7a31e01236b618259ebef2daab76d7351d8e497c685679b881

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.937589Z digest=sha256:4c38bffe1d0f9818f27bc9df3b86d178f156ba8773d80fd12ba31d2cbafc1a1f

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.941652Z digest=sha256:53725a36810c661a8f46e5f844f813ea856b3c971d186dec1a9ec190fbb03394

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.947492Z digest=sha256:2d2fc3fae30e6cefc5ab360abcaeb077ca0bd9badf260b0249f6eb09b17d9fc8

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.951527Z digest=sha256:5c8f1fc6eb34a509adabcfb4e393175c3a4c81e33b78d05f9531500f5ed32a6d

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.956694Z digest=sha256:37934eeccf5a33e53b1f0cc5140699106fccf1c93208c12e520d532df994e725

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.962105Z digest=sha256:038d939a6de9ef299c4a6f5633d2e64b87a73d5a09b922fe5a7d5f79eed5cb01

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:39:29.967141Z digest=sha256:7fc13b28e607b5a6ea4937660e327e0a3b4345e2a06a03db70bde9f5bd8f4512

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 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T12:26:31.604580Z digest=sha256:d9416a843e648cf4caf9c42e875a7992f3b6bad16e626bf334e640b434ba3f94