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Paper Citation Record · LEDGER

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

As of 16 August 2026, this Paper Citation Record lists 58 of 58 outbound references and 0 inbound Pith citation observations for arXiv:1908.07437.

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

pith.paper-citation-record.v1
1908.07437 v4

Coverage vector

measured 58 of 58 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T12:26:31.802695Z

measured 58 of 58 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 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

58 of 58 outbound references displayed

  • verified exact4
  • verified fuzzy49
  • unresolved5
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 736c0e6e-a3a4-402d-82c2-d18f030f9ace · outbound

This paper cites Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Kasteleyn theorem, geometric signatures and KP-II divisors on planar bipartite networks in the disk

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:26:31.926537Z

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.

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Observation b2c0798d-543a-4e33-89ab-d2c9f11ba709 · outbound

This paper cites Rational degenerations of M-curves, totally positive Grassmannians and KP–solitons.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Rational degenerations of M-curves, totally positive Grassmannians and KP–solitons

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.476197Z

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=2026-08-14T12:26:31.583744Z digest=sha256:ad1c0708ec7ad4a5288933b1e41dad8809bb7170e23187be9c3a8a06b62f30f7

Observation ed6536fb-89ca-4e49-9dba-565aaa21568a · outbound

This paper cites Real soliton lattices of the Kadomtsev-Petviashvili II equation and desin- gularization of spectral curves corresponding to GrTP(2, 4).

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Real soliton lattices of the Kadomtsev-Petviashvili II equation and desin- gularization of spectral curves corresponding to GrTP(2, 4)

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.465247Z

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=2026-08-14T12:26:31.587999Z digest=sha256:7cb2d9197f2268cdd284fd0b81abf4d32acfc0b07a4392a642183042a8c7b94b

Observation e737aeae-48cf-4668-b58c-b4520d35d29e · outbound

This paper cites Reducible M-curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Reducible M-curves for Le-networks in the totally-nonnegative Grassmannian and KP–II multiline solitons

Reference 4

Resolution
verified exact
doi, observed 2026-08-14T12:26:31.837459Z

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=2026-08-14T12:26:31.592039Z digest=sha256:982cb1efca334b1563f8f04802405d4f1c421c3dc7a5677b0347ce58e930459e

Observation baa81a16-dc21-444a-810b-5de677f5c917 · outbound

This paper cites KP theory, plabic networks in the disk and rational degenerations of M--curves.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians KP theory, plabic networks in the disk and rational degenerations of M--curves

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-14T12:26:31.911232Z

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=2026-08-14T12:26:31.596438Z digest=sha256:1cefeecbf15d484b988f45a34f9792593916de2752be674c2d0aca8656afc3ab

Observation 63d879ea-42ce-4a07-ab89-b06f4948798f · outbound

This paper cites Grinevich, Amalgamation in totally non-negative Grassmannians and real regular KP divisors on M–curves., in prep.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Grinevich, Amalgamation in totally non-negative Grassmannians and real regular KP divisors on M–curves., in prep

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.454585Z

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=2026-08-14T12:26:31.600613Z digest=sha256:f008a399a4258712185befb85842c6df7f723c447e1b6e9b6a1dd32741970ca6

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

This paper cites Vector-relation configurations and plabic graphs.

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=sha256:22484c94117b62b34af7aea7513189b09fd8087cdf6c04e400c4d1fa8fd88b00

Observation e7c61e92-f674-45f7-8eec-b1e53ac5fe8b · outbound

This paper cites Scattering Amplitudes and the Positive Grassmannian.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Scattering Amplitudes and the Positive Grassmannian

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-14T12:26:31.608539Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:26:31.608539Z digest=sha256:06b3b4fcb4d47ac69ece565a9de0925da3df19441eca07fd7d41937ee447c935

Observation 95318cb7-c675-42d9-9b0a-26990833ad90 · outbound

This paper cites Bourjaily, F.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Bourjaily, F

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.443859Z

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=2026-08-14T12:26:31.612597Z digest=sha256:0c50f7a853992585f7651cd378c1fbd582d432fc5ec43bc34b0b8c33918e6382

Observation 1c22df46-dd1a-44cf-8400-8573f465d500 · outbound

This paper cites Twistor theory at fifty: from contour integrals to twistor strings.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Twistor theory at fifty: from contour integrals to twistor strings

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.433386Z

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=2026-08-14T12:26:31.616606Z digest=sha256:6ea533f0b752ebd93e1cd08ed0381ed93867b1b6ff0f2b611c0e2a35a8c487f4

Observation 729fddef-3392-4ec5-adab-6f80b64e05df · outbound

This paper cites Suris, Discrete differential geometry.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Suris, Discrete differential geometry

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.423385Z

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=2026-08-14T12:26:31.620446Z digest=sha256:9558d90a39d51f752242e676614cdbc696eff0933581e89366d4f9ae12b399e1

Observation 78be9aba-c4db-4cd8-99f1-2adeae20798f · outbound

This paper cites Stratifying on–shell cluster varieties: the geometry of non–planar on–shell diagrams.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Stratifying on–shell cluster varieties: the geometry of non–planar on–shell diagrams

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.412257Z

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.

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Observation 40f3a60c-12e1-44e8-9e68-effcff77165d · outbound

This paper cites Total positivity, Grassmannian and modified Bessel functions.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Total positivity, Grassmannian and modified Bessel functions

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-14T12:26:31.628533Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:26:31.628533Z digest=sha256:356886fee7ea7d31128a539346be9e6bc3c6679ef3f11cfaba0f90e1095527c2

Observation 4338b31f-4a90-46ca-8a25-b2af5147de46 · outbound

This paper cites Soliton solutions of the KP equation and application to shallow water waves.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Soliton solutions of the KP equation and application to shallow water waves

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.400492Z

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.

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Observation 8239a8dc-95a9-46d8-85ad-7eb9a94e5d5a · outbound

This paper cites Tableaux combinatorics for the asymmetric exclusion process.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Tableaux combinatorics for the asymmetric exclusion process

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.389678Z

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=2026-08-14T12:26:31.636359Z digest=sha256:b82b5301ed85447b382c1ec3e417c998ba5c02dc8e40fb6d5365da5d6bec8bcb

Observation d68ede8b-b785-456e-8bf8-03600129ca4e · outbound

This paper cites Multidimensional quadrilateral lattices are integrable.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Multidimensional quadrilateral lattices are integrable

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.378763Z

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=2026-08-14T12:26:31.639859Z digest=sha256:669f2580fc539ffc318452aefc922d6b03a51480e4304bbc4588ed9bb3de251f

Observation d92005e2-edf8-4afb-ba88-c72441a5b31b · outbound

This paper cites Real theta-function solutions of the Kadomtsev-Petviashvili equation.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Real theta-function solutions of the Kadomtsev-Petviashvili equation

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.368667Z

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=2026-08-14T12:26:31.643543Z digest=sha256:a90ae6a80416f5402513e1bd285cf04e62f7c334e7f2325d540f7b537efb0437

Observation 9b20c850-7f3d-470d-a9f8-b8f70ef2fe4f · outbound

This paper cites Cluster X –Varieties, Amalgamation and Poisson-Lie Groups.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Cluster X –Varieties, Amalgamation and Poisson-Lie Groups

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.358337Z

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=2026-08-14T12:26:31.646976Z digest=sha256:2bd32189ab1b3518a2e631bf62364d4d0059a2acf52bc47b0e024e0fdf2e8ca7

Observation 04d991f7-13b6-4337-8234-30c1958e63e1 · outbound

This paper cites Loop–erased walks and total positivity.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Loop–erased walks and total positivity

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.348307Z

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.

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Observation 9d6d565f-f40b-4777-a3a5-cafb76fd8b1a · outbound

This paper cites Morsifications and mutations.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Morsifications and mutations

Reference 20

Resolution
unresolved
no resolver link, observed 2026-08-14T12:26:31.653983Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:26:31.653983Z digest=sha256:cdb2779aa2ba13f1063bb818893497475935e40f06cf2bcb0b9e5dfd40703054

Observation accc01ca-d20f-4f99-8a0f-a3008fcddb74 · outbound

This paper cites Double Bruhat cells and total positivity.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Double Bruhat cells and total positivity

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.337792Z

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=2026-08-14T12:26:31.657917Z digest=sha256:2706804c30c8ba8b3dbf1a301493623dca18bc68ba95637bc96da4298a074f19

Observation efbae11c-b47a-4e7d-a202-722c0f61b8c5 · outbound

This paper cites Cluster algebras I: foundations.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Cluster algebras I: foundations

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.327292Z

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.

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Observation 29e57d35-75ef-4dd2-8ab4-4f263345528b · outbound

This paper cites The totally nonnegative Grassmannian is a ball.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians The totally nonnegative Grassmannian is a ball

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.316639Z

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=2026-08-14T12:26:31.665255Z digest=sha256:92268594700f6db907ef151ca6487ab4d77173970ce1204b66c071a1b6a1d70b

Observation 3df54370-3e82-4dca-a1d2-1aeab7c878a2 · outbound

This paper cites Sur les matrices oscillatoires.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Sur les matrices oscillatoires

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.306039Z

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=2026-08-14T12:26:31.669006Z digest=sha256:c4b552f9588e9e9de566093218f43fbd49ce79c7648612b1e3ed2e7d18940ae5

Observation f90cc5c3-4c98-4264-8f43-40fd5112eb5d · outbound

This paper cites Krein, Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Krein, Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.295153Z

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=2026-08-14T12:26:31.672734Z digest=sha256:c8bd2a381bb7ddb7692f6c4460868e0e2d1c6d9b429fd78154c26b166c9c8872

Observation a8bc63d6-b0fd-4e35-b6cd-dcfea43c1bf3 · outbound

This paper cites Poisson geometry of directed networks in a disk.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Poisson geometry of directed networks in a disk

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.284136Z

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=2026-08-14T12:26:31.676473Z digest=sha256:1cd6278c6836a82f1955a2bd1e50a08e49c761a91a63d40252314e309b722b29

Observation 2877957c-c7bb-4ddc-b8e4-69fa178c2652 · outbound

This paper cites Shapiro, and A.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Shapiro, and A

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.273404Z

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=2026-08-14T12:26:31.680318Z digest=sha256:35b21b85ce52138410df5f472f750bbf012be1d88764bfe9ea742de8af245350

Observation 53c0de71-d494-470d-8bb7-526de6226f34 · outbound

This paper cites Poisson Geometry of Directed Networks in an Annulus.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Poisson Geometry of Directed Networks in an Annulus

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.262775Z

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=2026-08-14T12:26:31.684136Z digest=sha256:80594a8f145e8b37c212719c7909d2b548fbc3fb09a12f385a63159c65294fc4

Observation fe1615a6-32fa-4ba0-a6cb-14b079edb6ac · outbound

This paper cites Combinatorial geometries, convex polyhedra, and Schubert cells.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Combinatorial geometries, convex polyhedra, and Schubert cells

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.252031Z

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=2026-08-14T12:26:31.687778Z digest=sha256:9d7537aa833ba7a5564dfc7dea61a9a0c8f91e74ad5ca542bd29a450f2d831f5

Observation 28f25915-1835-469d-af23-bcb73fdb889f · outbound

This paper cites Combinatorial geometries and torus strata on homogeneous compact manifolds.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Combinatorial geometries and torus strata on homogeneous compact manifolds

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.241342Z

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=2026-08-14T12:26:31.691437Z digest=sha256:b7cd9b8857480177235caea5b9080939bdda1780b7d8289a2b962ba2cf749d85

Observation 0f350c42-84e9-49d8-ae94-f5f1294d9960 · outbound

This paper cites Dimers and cluster integrable systems.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Dimers and cluster integrable systems

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.230709Z

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=2026-08-14T12:26:31.695078Z digest=sha256:1465ca3cbaa6e478e430b2adbe801b3a4fcbbad2ad207401cfe10e860bb27984

Observation a088a809-dcd9-4fa6-a910-b000f6b85913 · outbound

This paper cites Unraveling Ln;k Grassmannian Kinematics.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Unraveling Ln;k Grassmannian Kinematics

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.219851Z

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=2026-08-14T12:26:31.698866Z digest=sha256:5f07e9a5130f99ed9ae4be1c60799b0266944fd0f9a4635ce744d85a45ca3bd0

Observation 8da0124c-e1dc-4e91-80c2-85a55c00679c · outbound

This paper cites an unresolved cited work.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Unresolved cited work

Reference 33

Resolution
unresolved
raw_fallback, observed 2026-08-14T12:26:32.208749Z

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=2026-08-14T12:26:31.702476Z digest=sha256:abb99dcefa6c497fbbd0ce6c0fdd962fa690c691ece5e0bfb690f0fb3f0ce640

Observation 687daf6d-b509-4956-b256-9fcd3d5e3c58 · outbound

This paper cites Kasteleyn, The statistics of dimers on a lattice.I.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Kasteleyn, The statistics of dimers on a lattice.I

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.196663Z

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=2026-08-14T12:26:31.706258Z digest=sha256:6f47853d16bd0af397b322471128c35bcece48083c928c13d71ff350f25725ed

Observation f6406b68-6d65-48d7-a79f-61ce30121283 · outbound

This paper cites Kasteleyn, Graph theory and crystal physics, in Graph Theory and Theoretical Physics , Ed.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Kasteleyn, Graph theory and crystal physics, in Graph Theory and Theoretical Physics , Ed

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.184568Z

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=2026-08-14T12:26:31.710909Z digest=sha256:581356d9b5e348e8725ac0e433921dbff03f526d5893f356efe4818b4e8179c8

Observation 1c979ff2-191c-4636-a339-dfc07bc8a6a4 · outbound

This paper cites Planar dimers and Harnack curves.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Planar dimers and Harnack curves

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.173445Z

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=2026-08-14T12:26:31.715738Z digest=sha256:fe94a62b4ec9491d03c6d93735a540609a66cc0daa3c42b9913461661412704c

Observation d135bd42-56e2-44bf-a8fd-60ea73ec6606 · outbound

This paper cites The Deodhar decomposition of the Grassmannian and the regularity of KP solitons.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians The Deodhar decomposition of the Grassmannian and the regularity of KP solitons

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.162479Z

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=2026-08-14T12:26:31.719468Z digest=sha256:7758a042e39240f8258688727bcd671151cbe1adc0ef8c2485757af714b80bd3

Observation f223edf6-b222-4c5e-976b-bdafc8da817e · outbound

This paper cites KP solitons and total positivity for the Grassmannian.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians KP solitons and total positivity for the Grassmannian

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.149703Z

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=2026-08-14T12:26:31.723662Z digest=sha256:65bd4551ef253c5af4b9cdfa04523f204489b77925a0bde4177571f73d173f8a

Observation e782cacf-5cd5-46d5-a1ff-6605e2f6e992 · outbound

This paper cites Spectral theory of two-dimensional periodic operators and its applications.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Spectral theory of two-dimensional periodic operators and its applications

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.139122Z

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=2026-08-14T12:26:31.727786Z digest=sha256:2a97cde6b8dc27d4b94e7c8598dac5eff6fa3c1827db4c9fa8bfc2e33a6c6334

Observation 8b13e630-e6a2-4de5-bb9d-8254b8c0ef8b · outbound

This paper cites Dimers, webs, and positroids.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Dimers, webs, and positroids

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.127785Z

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=2026-08-14T12:26:31.731630Z digest=sha256:f28346c8d1d25d0e3839243f1732fce9fc494de6c4873162eea561749c74063a

Observation d9db310c-b98e-4260-b0a4-f31eec9d9bf1 · outbound

This paper cites Press, Somerville, MA, 2016.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Press, Somerville, MA, 2016

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.116723Z

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=2026-08-14T12:26:31.736108Z digest=sha256:6cf3d64732f34120b79853b33a76553bb360d9446ae0e7a04c66548d5b8c938e

Observation 457489b9-1854-4575-88ec-f5c01875ed77 · outbound

This paper cites Birkh¨ auser, 1991.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Birkh¨ auser, 1991

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.105529Z

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=2026-08-14T12:26:31.740481Z digest=sha256:c4585d7a84631cb35b6e80a3c806ec470b5b492eeb92e01f923db316e4e57eb3

Observation ea67d738-ce49-4aae-95db-cdd90d1cae22 · outbound

This paper cites Total positivity in reductive groups.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Total positivity in reductive groups

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.094673Z

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=2026-08-14T12:26:31.744175Z digest=sha256:87da39304abc8f3831ec5d51a9b7681d497bb48e8a629ce5c1e843e07b9f0b3d

Observation 6177ea7b-f204-41f2-91d7-b525a86ad6e9 · outbound

This paper cites Total positivity in partial flag manifolds.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Total positivity in partial flag manifolds

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.082622Z

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=2026-08-14T12:26:31.747931Z digest=sha256:dc3841f25f69b15e6fc2aa6be83c22a8b9c3c831cd697645f7de19b5011661aa

Observation 8fc94cfe-06ab-4125-bfee-910a801ec422 · outbound

This paper cites Parametrizations of flag varieties.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Parametrizations of flag varieties

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.071454Z

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=2026-08-14T12:26:31.751598Z digest=sha256:fe43c3abf0d77b56a474ad3efcd4d0a11bf1354ddc69f743d26e9cc1fb9d89be

Observation e8c5016b-7a98-4750-86c7-19f40ad5054a · outbound

This paper cites Dual Superconformal Invariance, Momentum Twistors and Grassmannians.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Dual Superconformal Invariance, Momentum Twistors and Grassmannians

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.059862Z

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=2026-08-14T12:26:31.755503Z digest=sha256:819c5c112a2f48bde1ff6ef6c447eb581158239b5690be1a5d55467dfdeab4a6

Observation c18fa834-78c1-4e9a-9358-0fa2f0559288 · outbound

This paper cites Weak separation and plabic graphs.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Weak separation and plabic graphs

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.048030Z

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=2026-08-14T12:26:31.759083Z digest=sha256:16adb60697c51c1985e0ecf371b30759470d9772b590021d484e3b07bfef363a

Observation b1fd925c-ef9b-4926-afa3-f36964aac3ab · outbound

This paper cites Total positivity, Grassmannians, and networks.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Total positivity, Grassmannians, and networks

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-14T12:26:31.762660Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T12:26:31.762660Z digest=sha256:e6f9281edabac857694ebce0b4507142c5d1a461312c08096c505a0380a88039

Observation 3bdad468-9065-4b44-98cc-67f59a9b9768 · outbound

This paper cites , arXiv:1806:05307.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians , arXiv:1806:05307

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.035853Z

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=2026-08-14T12:26:31.766900Z digest=sha256:27798cff1c2b37d8223502d08b7f40c98f3cb6d0b0ac0db53c10d9cf0eebd967

Observation f17a3785-c3de-42cf-9866-088c61d50dc8 · outbound

This paper cites Matching polytopes, toric geometry, and the totally non-negative Grassmannian.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Matching polytopes, toric geometry, and the totally non-negative Grassmannian

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.025330Z

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=2026-08-14T12:26:31.770755Z digest=sha256:79714c6c61f068638e667fa6d5f1bae1afb35090fe43d457138811ea2d527ae9

Observation 091b27bc-6916-4c0b-a5a9-51c5212c6f1f · outbound

This paper cites An algebraic cell decomposition of the nonnegative part of a flag variety.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians An algebraic cell decomposition of the nonnegative part of a flag variety

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.014840Z

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=2026-08-14T12:26:31.774612Z digest=sha256:79753d8665fdc168381cdaa1447c82f3ce6ddaf179bfb4f1640ba2a37c4219f6

Observation 0002dde3-0993-4e50-b6e8-b5ae8a93b8f3 · outbound

This paper cites The totally nonnegative part of G/P is a CW complex-.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians The totally nonnegative part of G/P is a CW complex-

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:32.004860Z

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=2026-08-14T12:26:31.778500Z digest=sha256:7b871c01b9d62b44acd271e6f755e8c8169f2af4390ea7ed8d3a4485dfef8911

Observation c9cb9496-bbff-4301-96cc-4fdaa25b88d0 · outbound

This paper cites ¨Uber variationsvermindende lineare Transformationen.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians ¨Uber variationsvermindende lineare Transformationen

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:31.994925Z

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=2026-08-14T12:26:31.782518Z digest=sha256:ecdcd368e65f09dfe6a285d08c72dcc46de6049745ca6883bd0c702616124490

Observation 62a3a035-adde-488f-968b-1b9c6b407da8 · outbound

This paper cites Grassmannians and cluster algebras.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Grassmannians and cluster algebras

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:31.984555Z

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=2026-08-14T12:26:31.786773Z digest=sha256:9e664942e59beaddcab247c8239eb3a00f4247762d87b681d08f81b6881611ec

Observation 0213681f-5dc7-4352-a90e-4a926b8c6459 · outbound

This paper cites The pentagram map.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians The pentagram map

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:31.973894Z

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=2026-08-14T12:26:31.790344Z digest=sha256:99e099891dc30133a7e7c57b4614bf9ed2a5399e9f2bcf717069bc1d172eb68c

Observation 04ace52a-146b-445c-b054-bf7d2b8343cb · outbound

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

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Variations on a theme of Kasteleyn, with application to the totally nonnegative Grassmannian

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:31.961405Z

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=2026-08-14T12:26:31.794601Z digest=sha256:c32d995e00d1375edea07210d2bbe61735ee8843ba6b678546c7d14ed182e233

Observation 45641e25-6263-4392-b9ec-d9a52ac1acf3 · outbound

This paper cites A Formula for Pl¨ ucker Coordinates Associated with a Planar Network.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians A Formula for Pl¨ ucker Coordinates Associated with a Planar Network

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:31.949476Z

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=2026-08-14T12:26:31.798999Z digest=sha256:807ce13088f2de257bf2d015b372440c19e400ae5b8c755738e987d93da7cdd5

Observation 0bf10d8c-c502-4775-b796-4df20a26554b · outbound

This paper cites Network parametrizations for the Grassmannian.

Edge vectors on plabic networks in the disk and amalgamation of totally non-negative Grassmannians Network parametrizations for the Grassmannian

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T12:26:31.937836Z

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=2026-08-14T12:26:31.802695Z digest=sha256:af24835ea45069678292afcbc885610f98b5e1091036b17cad0d9b09a1d46db8

Pith citing papers

No inbound Pith citation observations are available.