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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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.816025Z digest=sha256:03d5e54598ecb3ab2675e45a40ca370b67e38e7ac5fd881fdaccde3cd6711007

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.822702Z digest=sha256:12f07c54b96931c7d629607956dcd4a32558014b853048a4d3245155d496b80f

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.826949Z digest=sha256:5d2e29b681bb3f870b2e7b8b1c0adbc06ba19f50047e60e65fced967b1acdd99

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.830883Z digest=sha256:2506e1aadf4ccfb50e42720139b7543335d0486b3685a165b22de98ff3bf91bb

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.834571Z digest=sha256:46339cda3c74d788bf76117268b1b99701e8169fb14a228053b32c210ffb73a9

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:a090056c3cc4fd1bc69c59a29f0110c036f5f7e29c533d18771c543931149e26

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=sha256:61d99e714b276d24a26a3476c298c5703a5560f8bc17d4746c2c8dd2f8fd4520

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.847233Z digest=sha256:50733214e7888fe3f4422a51198225655842abb69308ea818e7e8a0c368ea50c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.853408Z digest=sha256:b8ea23a23d902694e225e14ee3834abf23399b8dab246a9fe62beda8ed59fcb0

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.859488Z digest=sha256:e8e67fb675e3dc3274b60d428f8f965a86ffbe9d24f5fc0265bf67a982880f16

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.866985Z digest=sha256:f34e0fb0e418898520f97644875317eb13313159de50e5cb8dbe775b49773920

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.877474Z digest=sha256:f374a6e87bea223b8012b6d6cc86cd6c364856b336a9cc820cac2e6c84766ea9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.883714Z digest=sha256:08c769a04a0a48afe725898f381869d49731237d7ff33dd8734b1d85ad42d1ac

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=sha256:5c488aaaf7a3ee700d5a55566ed64c4708160e0cb9f6a25a3e3cb2b595da096a

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.896469Z digest=sha256:bbe15140c13a06f825e2b3544721580f8582134915fbfc566de4dd4ab509d05e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.901000Z digest=sha256:0e8cb55972f3a6cfc5b86cdc82ae86d7eb7da6748fd5bd9c18700a31830679f9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.905931Z digest=sha256:0eef3cd7d0645d1ab4470d2cbe2e9788d723639d1867b983ffa262bc940fec72

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.911080Z digest=sha256:234b33e990f1ed68c3cc797cb61525177bfea55c15ea2f0ec6e3d82888b9cddd

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.916303Z digest=sha256:1fa00df04ac42188abb61947b5e8250f4e1d42c4d4e0415777fa63e1bc34386d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.920635Z digest=sha256:b5935b0023d97bdd003020cb15bf3f170b3ce3bcb20939f9ebc1b3011e3379d5

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.924724Z digest=sha256:1e798ab824e237895245b1a67cb5e20918315b8f9a14573e39af2118b953ff78

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=sha256:18e40a2f7cd3c8f7c1091158c2d219e0e4c313fec47a8843e21a6403e089ec81

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.932974Z digest=sha256:4b96c22be333f30fb41ec1e7cf9fcaf59993813056a42279e818d855be2e53f9

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.937589Z digest=sha256:282d5537744ca79f2c5addb22a39c368629921379e43089cdf4d08796bf2ac2e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.941652Z digest=sha256:03046568beca19f43d5440ba850b28855fe7f0e30101727734d0f3db57a87a4c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.947492Z digest=sha256:f73c1e5533e0c9b330a636b9c93dbd6dc5bcd40c2b67d01a9ef02dac2c924190

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.951527Z digest=sha256:0444b08af6bc5249d58aafdb7ae380f11f9953dcf48b3264e3029fdece9f2d3d

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.956694Z digest=sha256:2ad624390e70a4bfe2db76518532f70ebeace08deb1f4211cfbb9026a25b0d1e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.962105Z digest=sha256:7493d794fc787c6a76654d86c0e36b610131f311649d1f725ff679a08f13415e

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:39:29.967141Z digest=sha256:99d5d9f7a85c76dca17dab19378636eb465cc5ec3e5a464f8a7bdb5ccf1aee27

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-14T12:26:31.604580Z digest=sha256:af54bd4ea3b315fa325860bb0d60de99c977c10becab915cdf8c021fda1a37de