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Paper Citation Record · LEDGER

Electrical networks, Grassmannians, and cluster algebras

As of 8 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 0 inbound Pith citation observations for arXiv:2607.09975.

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

pith.paper-citation-record.v1
2607.09975 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-14T01:19:58.693746Z

measured 45 of 45 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-08T06:32:00.761636+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

45 of 45 outbound references displayed

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External citation measurements

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Outbound references

Observation fda5fc6f-99f5-4063-a02a-563e10af1b26 · outbound

This paper cites Alman, C.

Electrical networks, Grassmannians, and cluster algebras Alman, C

Reference 1

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Observation 249a6806-96a8-4ead-8b58-e3ba171fb99b · outbound

This paper cites Circular Planar Electrical Networks II: Positivity Phenomena.

Electrical networks, Grassmannians, and cluster algebras Circular Planar Electrical Networks II: Positivity Phenomena

Reference 2

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Observation 762527c3-f184-41c9-93a2-5800ebf05323 · outbound

This paper cites Berenstein, S.

Electrical networks, Grassmannians, and cluster algebras Berenstein, S

Reference 3

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Observation 852cfaac-7947-472e-9824-459339f8fbc9 · outbound

This paper cites Berenstein, S.

Electrical networks, Grassmannians, and cluster algebras Berenstein, S

Reference 4

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Observation 71720aeb-ae58-47c5-94b5-8d77b1197476 · outbound

This paper cites Borcea, V.

Electrical networks, Grassmannians, and cluster algebras Borcea, V

Reference 5

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Observation 4d0dd139-003f-408f-87a8-1e9721665feb · outbound

This paper cites Bychkov, V.

Electrical networks, Grassmannians, and cluster algebras Bychkov, V

Reference 6

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Observation 5d8ebf62-e5a7-4b53-b063-dc8fb8fe8690 · outbound

This paper cites Bychkov, V.

Electrical networks, Grassmannians, and cluster algebras Bychkov, V

Reference 7

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Observation 2a623777-d452-4463-a8f6-fd783d8b5863 · outbound

This paper cites Chaiken,A combinatorial proof of the all minors matrix tree theorem, SIAM J.

Electrical networks, Grassmannians, and cluster algebras Chaiken,A combinatorial proof of the all minors matrix tree theorem, SIAM J

Reference 8

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Observation 6b073b38-b025-4060-bebe-e18cfc58f47a · outbound

This paper cites Chepuri, T.

Electrical networks, Grassmannians, and cluster algebras Chepuri, T

Reference 9

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:8f6d7a4852d39abd93d6db82486c87d2ae42e1e7d1fa56b67d6d19c024b2ddbf

Observation 84240252-afb8-42fb-9d9b-083bf046b518 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 10

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:beb76c41dc990b56e026b707009b6e7951506fe36199cfc0da268458e9386c10

Observation b7f09987-c17d-4f20-9a7f-49316a2a741b · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 11

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Observation 4d0b6630-e687-4c14-9bc8-b373479f7119 · outbound

This paper cites Colin de Verdi` ere, I.

Electrical networks, Grassmannians, and cluster algebras Colin de Verdi` ere, I

Reference 12

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Observation ca6bf0fe-40e9-4a11-a87e-4cab74180677 · outbound

This paper cites Introduction to Cluster Algebras. Chapters 1-3.

Electrical networks, Grassmannians, and cluster algebras Introduction to Cluster Algebras. Chapters 1-3

Reference 13

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Observation 6a4235f3-2598-40e6-aef0-da1de6f2e6b0 · outbound

This paper cites Introduction to Cluster Algebras. Chapters 4-5.

Electrical networks, Grassmannians, and cluster algebras Introduction to Cluster Algebras. Chapters 4-5

Reference 14

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:8a101a7e144a24b9320c42d28fac0ad6940766a0b90e1917a4a02b24d28ee8bb

Observation 7d93dcd9-5102-416f-bdec-fdd76bff6864 · outbound

This paper cites Introduction to Cluster Algebras. Chapter 6.

Electrical networks, Grassmannians, and cluster algebras Introduction to Cluster Algebras. Chapter 6

Reference 15

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Observation 499b17d2-20a4-4a8e-ab58-e63a592379f7 · outbound

This paper cites Fomin and A.

Electrical networks, Grassmannians, and cluster algebras Fomin and A

Reference 16

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Observation 46606f28-44f6-4c8b-ae5b-91acf97a313c · outbound

This paper cites Fomin and A.

Electrical networks, Grassmannians, and cluster algebras Fomin and A

Reference 17

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:8bc6186be9ec8fe5b0df5f28bf43c9e23eef831fee45d4fa96fc2aa59a9be84a

Observation dffebce1-bb19-4f14-bbf0-becb7d9b4f39 · outbound

This paper cites Fomin and A.

Electrical networks, Grassmannians, and cluster algebras Fomin and A

Reference 18

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:fdbee6e4ceab910c87f60666a6e3ffef690cf84bc3e56ac39641bdb51be7a033

Observation 0398cd12-2ad1-43e5-bb64-0609ad9cb232 · outbound

This paper cites Fomin and A.

Electrical networks, Grassmannians, and cluster algebras Fomin and A

Reference 19

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:13fb4e84096f1a91908b050350751f489b190e90fa40e1d77e9275511aad5e2d

Observation 7e77f691-4d2a-46d6-9c9b-614987f84a81 · outbound

This paper cites Amplituhedra and origami, I: tree level.

Electrical networks, Grassmannians, and cluster algebras Amplituhedra and origami, I: tree level

Reference 20

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Observation 8738dfba-a71e-40cc-8077-ef47c7d0b482 · outbound

This paper cites Galashin and T.

Electrical networks, Grassmannians, and cluster algebras Galashin and T

Reference 21

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Observation 3763fabf-0762-4e5b-9526-fa0dc3948d92 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 22

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:34d68331ff01f5ef2b322b40c90016e9d21d195aafda7848f823096e7ba8213a

Observation ef9ce207-bec5-4b24-9541-8a289e6e5cb7 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 23

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:5798af5811c720e0b16866ee628f7ca028601618d6f8250d29e4f91638e0cee2

Observation 4d21a9ca-c92e-46d5-8062-aef66c57c5d3 · outbound

This paper cites George,The twist for electrical networks and the inverse problem, Int.

Electrical networks, Grassmannians, and cluster algebras George,The twist for electrical networks and the inverse problem, Int

Reference 24

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:4408a83864fc8f38fdacd3e09566cb5dd73ef4084871b9851ea51351b8379ddb

Observation 9e1dc1c4-a608-4be0-9fc5-3a5eb38408aa · outbound

This paper cites Gorbounov and A.

Electrical networks, Grassmannians, and cluster algebras Gorbounov and A

Reference 25

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Observation ce25af16-2a11-4629-8389-60571bb14b5e · outbound

This paper cites Jain,Novel relationships between circular planar graphs and electrical networks, PRIMES Report, 2015.

Electrical networks, Grassmannians, and cluster algebras Jain,Novel relationships between circular planar graphs and electrical networks, PRIMES Report, 2015

Reference 26

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Observation 886e916c-257a-4c82-b0e7-b639c0487de9 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

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Observation d4ba108a-5b13-46a9-9761-379b6d87b05d · outbound

This paper cites Kenyon and D.

Electrical networks, Grassmannians, and cluster algebras Kenyon and D

Reference 28

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Observation d2936db2-49bb-4c81-8a4a-135fe63937f5 · outbound

This paper cites Kenyon and D.

Electrical networks, Grassmannians, and cluster algebras Kenyon and D

Reference 29

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Observation 744aff50-44d7-4c65-9bc4-c61ea9f55cd5 · outbound

This paper cites Kenyon,The Laplacian on planar graphs and graphs on surfaces, Current Developments in Mathematics2011(2012), 1–55.

Electrical networks, Grassmannians, and cluster algebras Kenyon,The Laplacian on planar graphs and graphs on surfaces, Current Developments in Mathematics2011(2012), 1–55

Reference 30

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Observation 2e205290-43f6-483f-80ec-d04e132c2e6a · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 31

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Observation 56d74470-4d65-499d-b056-1c91b1c2cb6a · outbound

This paper cites Lai,Proof of a conjecture of Kenyon and Wilson on semicontiguous minors, J.

Electrical networks, Grassmannians, and cluster algebras Lai,Proof of a conjecture of Kenyon and Wilson on semicontiguous minors, J

Reference 32

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:d310dfbd71262a1139500d4a617a08536d3afc31a5a74770ff358042ce584177

Observation 0628b00c-79d7-4559-b8af-72ffa05f5aa7 · outbound

This paper cites Lam,Totally non-negative Grassmannian and Grassmann polytopes, Current Developments in Mathematics2014(2015).

Electrical networks, Grassmannians, and cluster algebras Lam,Totally non-negative Grassmannian and Grassmann polytopes, Current Developments in Mathematics2014(2015)

Reference 33

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Observation 3c515f97-8120-48ae-b031-319e69855002 · outbound

This paper cites Lam,Electroid varieties and a compactification of the space of electrical networks, Adv.

Electrical networks, Grassmannians, and cluster algebras Lam,Electroid varieties and a compactification of the space of electrical networks, Adv

Reference 34

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Observation 27af4f59-6d02-4519-8396-f6c21e3f3423 · outbound

This paper cites Lam and P.

Electrical networks, Grassmannians, and cluster algebras Lam and P

Reference 35

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Observation 3dfd7ff5-a8d1-41a0-9308-4f4b45288c9e · outbound

This paper cites Lam and P.

Electrical networks, Grassmannians, and cluster algebras Lam and P

Reference 36

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Observation f3c105a3-faa7-4d31-bf04-fea8c567e5b9 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 37

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Observation 9b877563-e72a-42dd-baa6-d84939416484 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

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Observation 2ba029aa-8b07-48a0-a567-21a21d615d7f · outbound

This paper cites Muller and D.

Electrical networks, Grassmannians, and cluster algebras Muller and D

Reference 39

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Observation 13fc8c79-2c73-4493-ac97-6c95efedb897 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 40

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Observation a01f8da8-45df-431c-b3fb-3fe04a9a7f74 · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 41

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no resolver link, observed 2026-07-14T01:19:58.693746Z

Source-reported events for the cited work

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Observation a0927a30-0eb3-449e-9ac3-b47b1d93df64 · outbound

This paper cites Total positivity, Grassmannians, and networks.

Electrical networks, Grassmannians, and cluster algebras Total positivity, Grassmannians, and networks

Reference 42

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Observation ba83d837-98f7-4f53-8e1f-0a2fd002124b · outbound

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Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 43

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:f42ee59b6cb954eb8b75843dca3f102dfb834d16aa34c33ef258f43754a23330

Observation db79cde9-beeb-45aa-9dfa-72ecd7ebc0fe · outbound

This paper cites an unresolved cited work.

Electrical networks, Grassmannians, and cluster algebras Unresolved cited work

Reference 44

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:9a8c47fad2f197e47b3b3d70c277cf878d7d128d417ca01a2128661f41f650b1

Observation 8c3f2ae0-65ae-4a7b-8fbb-e64d4562cff8 · outbound

This paper cites Zelevinsky,Connected components of real double Bruhat cells, Int.

Electrical networks, Grassmannians, and cluster algebras Zelevinsky,Connected components of real double Bruhat cells, Int

Reference 45

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source=pdf_text observed=2026-07-14T01:19:58.693746Z digest=sha256:42599f187d5beacc9f48e342b197a3e6e026558c374ccf8100ef993e9e30ee75

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