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Paper Citation Record · LEDGER

Totally positive skew-symmetric matrices

As of 14 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2412.17233.

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

pith.paper-citation-record.v1
2412.17233 v1

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:51:31.883697Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

43 of 43 outbound references displayed

  • verified exact2
  • verified fuzzy35
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 58dc6952-ae2b-4169-8ccd-90e3e8fb1376 · outbound

This paper cites jump arrows.

Totally positive skew-symmetric matrices jump arrows

Reference 1

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raw_fallback, observed 2026-08-11T05:51:32.799986Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 137b9007-4a3b-48df-be0e-6164b9485976 · outbound

This paper cites Positive geometries and canonical forms.

Totally positive skew-symmetric matrices Positive geometries and canonical forms

Reference 2

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Observation edfcc2dd-3ea3-486a-b189-41e6dd9e824f · outbound

This paper cites backwards.

Totally positive skew-symmetric matrices backwards

Reference 3

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.674961Z digest=sha256:91638cc5cf8b5ed809755b91ea8e51d97c2ee26becc1d1772dc985ade0909ee4

Observation 73858627-f515-4103-a7a5-e4fffb6c3885 · outbound

This paper cites Each path is directed from i to w−1(i) for some i ∈ [n].

Totally positive skew-symmetric matrices Each path is directed from i to w−1(i) for some i ∈ [n]

Reference 4

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Observation 7f833e32-0d81-4369-b12e-1403d34a4a3f · outbound

This paper cites Positively oriented matroids are realizable.

Totally positive skew-symmetric matrices Positively oriented matroids are realizable

Reference 5

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source=pdf_text observed=2026-08-11T05:51:31.687038Z digest=sha256:f3d3c108b9f75b10ca5ec7a9998fcd518165f6518d6da707bcf63ee9d67056c7

Observation 383d890a-48b7-4e29-a02f-e7687486b738 · outbound

This paper cites On two notions of total positivity for generalized partial flag varieties of classical Lie types.

Totally positive skew-symmetric matrices On two notions of total positivity for generalized partial flag varieties of classical Lie types

Reference 6

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local_arxiv, observed 2026-08-11T05:51:31.966182Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.717671Z digest=sha256:4d67874853432d01e3a038561611333048570998707d83ea0bb5f4dfd3c6d5b2

Observation c46e33df-7ef8-453b-bf10-c72af770d56f · outbound

This paper cites Grassmannian geometry of scattering amplitudes.

Totally positive skew-symmetric matrices Grassmannian geometry of scattering amplitudes

Reference 7

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source=pdf_text observed=2026-08-11T05:51:31.699892Z digest=sha256:7f355676a154dcfdae1f4587a6e5a7ddcdb8d135460570385e52b5a9147aadb4

Observation 0b06e9c3-01c5-47db-a56c-d06aaae5167f · outbound

This paper cites The amplituhedron.

Totally positive skew-symmetric matrices The amplituhedron

Reference 8

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source=pdf_text observed=2026-08-11T05:51:31.705137Z digest=sha256:1180d06a22571ee5e127c69fd62b1953d3c0e5e09ee0a0d3b61175b46fd96916

Observation f5b921be-7bd2-4f79-88ad-efa986aed6fc · outbound

This paper cites Matroids over partial hyperstructures.

Totally positive skew-symmetric matrices Matroids over partial hyperstructures

Reference 9

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source=pdf_text observed=2026-08-11T05:51:31.710110Z digest=sha256:473d7c95b0c9004a590d196555053b6566a00ce9b28c8077f2b73331a5fc2e8c

Observation 38f11565-4e4f-4fd0-9981-685c0b9ed696 · outbound

This paper cites Mathrepo code repository for totally pos- itive skew symmetric matrices.

Totally positive skew-symmetric matrices Mathrepo code repository for totally pos- itive skew symmetric matrices

Reference 10

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source=pdf_text observed=2026-08-11T05:51:31.738282Z digest=sha256:b7f591fdb2168cac8a3702f203a70d6eb364272075f586e7826876dd12c22bf3

Observation a7825cd1-5ecc-46be-bd86-ba900bf4875c · outbound

This paper cites Cluster algebras.

Totally positive skew-symmetric matrices Cluster algebras

Reference 11

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.723750Z digest=sha256:2df8e596ba11fb3b8b477ebead4974af29f8a51c9ef060880c79ca93e5587dcf

Observation c3683bd8-ca2a-4b6d-ad18-589c23c11c21 · outbound

This paper cites M., and Karp, S.

Totally positive skew-symmetric matrices M., and Karp, S

Reference 12

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source=pdf_text observed=2026-08-11T05:51:31.728715Z digest=sha256:984f0ff7c038aab30062ace2c53fb9aafc0698a86d38a8e83919407c08bb0357

Observation 763f1881-ee97-4dc5-b8f1-318f4fd21a1d · outbound

This paper cites Totally nonnegative tropical flags and the totally nonnegative flag d ressian, 2022.

Totally positive skew-symmetric matrices Totally nonnegative tropical flags and the totally nonnegative flag d ressian, 2022

Reference 13

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source=pdf_text observed=2026-08-11T05:51:31.733542Z digest=sha256:32ac9f67c0abb78f23d0d2cae96ccab166e7ec234ad105006816e4140bd9d6dc

Observation b41c5515-8cce-4077-8ab5-e76e61e4c359 · outbound

This paper cites W., Veliche, O., and Weyman, J.

Totally positive skew-symmetric matrices W., Veliche, O., and Weyman, J

Reference 14

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source=pdf_text observed=2026-08-11T05:51:31.759248Z digest=sha256:d69bc5b690b562860ff8806260effcbd4e62ece808e5b72ede1f5ff48df39c41

Observation 43a842e8-d234-49cc-8f43-41d957f195a4 · outbound

This paper cites Cluster structures on spinor helicity and momentum twistor varieties.

Totally positive skew-symmetric matrices Cluster structures on spinor helicity and momentum twistor varieties

Reference 15

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local_arxiv, observed 2026-08-11T05:51:31.936673Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.743463Z digest=sha256:93bd9eebfd53f03ea0d3e1d1952669dee18fbbd6a3b89b72ac61ab5dd5097bab

Observation 493062fa-7d5a-4d42-a1e1-156387d6ffd2 · outbound

This paper cites Total positivity criteria for partial flag varieties.

Totally positive skew-symmetric matrices Total positivity criteria for partial flag varieties

Reference 16

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raw_fallback, observed 2026-08-11T05:51:32.514229Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.748711Z digest=sha256:426a79cc1046d7f2f14e9890d97ccf27b6f093ae12f10638dc0f509c22b48922

Observation 9d8a19ad-4e1e-41a9-a484-d4cf98df4f68 · outbound

This paper cites Collected works.

Totally positive skew-symmetric matrices Collected works

Reference 17

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.754258Z digest=sha256:c3d0dcfd5d8871dc974841f1b688ba1553136d7149cc304e0b483adebd48398e

Observation 1784e7b9-7f53-43db-86d9-bb46df5a86c1 · outbound

This paper cites Ising model and the positive orthogonal Grassmannian.

Totally positive skew-symmetric matrices Ising model and the positive orthogonal Grassmannian

Reference 18

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source=pdf_text observed=2026-08-11T05:51:31.779094Z digest=sha256:dd65833c7d93fc4ee18de967337b51206181bc422b8c9ab7281bc8db629f976d

Observation a2b8e1a3-21bc-4511-a6f1-c01bfbd980ea · outbound

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 19

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.764334Z digest=sha256:86ee51738869aefb280ecd38286b3bba2362ce9f28409f08102b29613237b042

Observation 66cda320-b426-4e21-b46a-f83932847a45 · outbound

This paper cites A cluster of results on amplituhedron tiles.

Totally positive skew-symmetric matrices A cluster of results on amplituhedron tiles

Reference 20

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source=pdf_text observed=2026-08-11T05:51:31.769132Z digest=sha256:60120813fa7f53216815d99a1b602e9982975c14ecf0f2bd316c6ffad1afc0eb

Observation 5491a00f-39d4-4f89-88b9-205f18015876 · outbound

This paper cites The vector space S can be endowed with an action of the spin group Spin(2 n).

Totally positive skew-symmetric matrices The vector space S can be endowed with an action of the spin group Spin(2 n)

Reference 21

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source=pdf_text observed=2026-08-11T05:51:31.680675Z digest=sha256:d12ad181dde698848e0838deb3a67f5975c729dde7824fce4e73bc89aebbf29d

Observation e8327ace-b27e-4c85-8b57-7fcba02db8f3 · outbound

This paper cites N., and Lam, T.

Totally positive skew-symmetric matrices N., and Lam, T

Reference 22

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raw_fallback, observed 2026-08-11T05:51:32.412176Z

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source=pdf_text observed=2026-08-11T05:51:31.774009Z digest=sha256:c7cfaef05e1a5cf7a9d58aaa30d0fcf4482c5d57e190f8960f24601136775067

Observation b8e61fa9-5d31-42ae-9ab9-6d2d9a00adb7 · outbound

This paper cites Optimal assignments in an ordered set: An application of matroid the ory.

Totally positive skew-symmetric matrices Optimal assignments in an ordered set: An application of matroid the ory

Reference 23

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.783939Z digest=sha256:6882c6fb811dc6623efb96f458ee17cbb9444b9d514cf89901f5ee9be3ee54dc

Observation 2a9865b8-9694-428b-ba6e-7a42e3b8f59e · outbound

This paper cites Partial flag varieties and preprojective algebras.

Totally positive skew-symmetric matrices Partial flag varieties and preprojective algebras

Reference 24

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.788855Z digest=sha256:27e0dcb7d5c29955f3dc92e808bdaddddb56cb9b28eb5b2ce0dc69f9b4423b44

Observation 913274cc-011b-4d4b-9e3f-c345f81067d0 · outbound

This paper cites Determinants, paths, and plane partitions.

Totally positive skew-symmetric matrices Determinants, paths, and plane partitions

Reference 25

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source=pdf_text observed=2026-08-11T05:51:31.793567Z digest=sha256:3e8e4692f558a4d4e0ed875395b5644fc1ce6c5ad08de832aae76bacc146b1d1

Observation add0a6c0-f5dc-4a8e-ba5c-42cbbb6e9090 · outbound

This paper cites R., and Stillman, M.

Totally positive skew-symmetric matrices R., and Stillman, M

Reference 26

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raw_fallback, observed 2026-08-11T05:51:32.317830Z

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source=pdf_text observed=2026-08-11T05:51:31.798340Z digest=sha256:7814d8c2ef712eb5b5f09a624c4d5250d99d181b609b591386fa12a40e7f214f

Observation bf1e0ccd-bdbe-4505-80e4-37b09bde9bc4 · outbound

This paper cites Lie groups, Lie algebras, and representations , second ed., vol.

Totally positive skew-symmetric matrices Lie groups, Lie algebras, and representations , second ed., vol

Reference 27

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raw_fallback, observed 2026-08-11T05:51:32.297600Z

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source=pdf_text observed=2026-08-11T05:51:31.804458Z digest=sha256:c6498f97889db95798866ca77f1008aa203758ac1163f0a4ea93b9c50f68c4f8

Observation 61ba9274-8a5a-4a1e-bead-4036ebd6698f · outbound

This paper cites ABJM amplitudes and the positive orthogonal grassmannian.

Totally positive skew-symmetric matrices ABJM amplitudes and the positive orthogonal grassmannian

Reference 28

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source=pdf_text observed=2026-08-11T05:51:31.809593Z digest=sha256:2d3f5146973c1271e86c6985ef81c78b882ba887fbd4c1095425372b92ea91d3

Observation 059d8944-fee1-4873-be58-fe5c1f98985b · outbound

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 29

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raw_fallback, observed 2026-08-11T05:51:32.260430Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.814418Z digest=sha256:d115b592c8ed1be622cec61496167985328a8da0dccdcb83e0b1dd59938c7375

Observation 1166f44b-6c81-4eb4-a9ea-c36c8e0a28e9 · outbound

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 30

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raw_fallback, observed 2026-08-11T05:51:32.243889Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.818960Z digest=sha256:84edf0c70f3c43bf6374e67432e205d52652794b7d68ddbe49bd0ae24ab850fa

Observation ebc2278e-2851-4e37-b623-5d3fece7b3e8 · outbound

This paper cites Positroid Stratification of Orthogonal Grassmannian and ABJM Amp litudes.

Totally positive skew-symmetric matrices Positroid Stratification of Orthogonal Grassmannian and ABJM Amp litudes

Reference 31

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raw_fallback, observed 2026-08-11T05:51:32.224325Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.823660Z digest=sha256:f84a99477b89530ef0adfe4d57ea9b1c085addcf201239f7a2aac674dd971fb3

Observation 0cb6a21d-3230-447c-9f64-563602b11aa6 · outbound

This paper cites The deodhar decomposition of the grassmannian and the regularity of KP solitons.

Totally positive skew-symmetric matrices The deodhar decomposition of the grassmannian and the regularity of KP solitons

Reference 32

Resolution
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raw_fallback, observed 2026-08-11T05:51:32.205147Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.828292Z digest=sha256:e64093ed476ebc2035cb98396f18f94b9f05b001c755a1e147abe050312e8260

Observation 6b402c56-436a-41b8-9280-cb1b2fef3dd1 · outbound

This paper cites Total positivity for cominuscule Grassmannians.

Totally positive skew-symmetric matrices Total positivity for cominuscule Grassmannians

Reference 33

Resolution
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raw_fallback, observed 2026-08-11T05:51:32.185753Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.833645Z digest=sha256:fc8283cac7d4e6f405ef2a745d1bbdfd6504923f67091e06ad1936370b263eca

Observation 76ae5c73-f3de-485e-b37a-06cf8a1a5347 · outbound

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 34

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raw_fallback, observed 2026-08-11T05:51:32.164892Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.838344Z digest=sha256:32916be8c7dd8431bffaf0f6ab4df4dd6e6022dc3ff7f260102a1f97fa18a5c6

Observation 29cc5cf6-d46c-4750-8457-676a130face1 · outbound

This paper cites On the vector representations of induced matroids.

Totally positive skew-symmetric matrices On the vector representations of induced matroids

Reference 35

Resolution
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raw_fallback, observed 2026-08-11T05:51:32.142339Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.844104Z digest=sha256:c50633fcbe9ee8d31b3f521b36d445da07b8af6e6139b7b810c196fa01a0dc15

Observation 1808375e-7fa1-4057-b167-b22b159246c9 · outbound

This paper cites Total positivity in reductive groups.

Totally positive skew-symmetric matrices Total positivity in reductive groups

Reference 36

Resolution
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raw_fallback, observed 2026-08-11T05:51:32.124513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.849412Z digest=sha256:aa4a6c5615ab464739de57702a5226f1627d883207e7ff7c1b38aa760562b7f1

Observation 232a560a-bdf8-4125-a936-64e18fbf7271 · outbound

This paper cites Total positivity in partial flag manifolds.

Totally positive skew-symmetric matrices Total positivity in partial flag manifolds

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:51:32.102246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.854583Z digest=sha256:8276f18f11687428157464c554f7f70da109f5c57715748b31b90f64287b830c

Observation bae2126c-217a-4fa9-92e8-17b46f94a377 · outbound

This paper cites On spinor varieties and their secants.

Totally positive skew-symmetric matrices On spinor varieties and their secants

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:51:32.085534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.859422Z digest=sha256:7494d0c38f3a11163428d62c67355e09ffb85cf1f645260c3ef0656121a9642f

Observation 4672fa53-d22d-40e5-83ae-4e9440dd7756 · outbound

This paper cites J., and Rietsch, K.

Totally positive skew-symmetric matrices J., and Rietsch, K

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:51:32.064571Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.864182Z digest=sha256:5932b2831764f0af226fd744659d55beb6cf2d7f540a4c2f641f7b719a9c04e0

Observation e28ce832-b4c7-4203-819f-fee938030f73 · outbound

This paper cites Total positivity, grassmannians, and networks.

Totally positive skew-symmetric matrices Total positivity, grassmannians, and networks

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:51:32.045367Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.868933Z digest=sha256:c6fe8d39f11afd73741f53c3c6659b5ed6a16e7951c58f37dc18a7685169b0b5

Observation 155866e7-0007-4452-83ff-b7ffeccf8fa6 · outbound

This paper cites Lie groups: An approach through invariants and representat ions.

Totally positive skew-symmetric matrices Lie groups: An approach through invariants and representat ions

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:51:32.027512Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.873954Z digest=sha256:70788933cc387f8d3db3a953648f55b26d9b3834475b7aac8de5a3d76cf58e44

Observation 1adafe56-99b3-453b-9bf4-725061d409cc · outbound

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 42

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:51:32.003982Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.878902Z digest=sha256:aa0665a114cd2e8239886560670596dd9a93166b3437248c5d6b1dbfa5131cfa

Observation 5af5e903-beea-451c-9964-c512132ca49d · outbound

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:51:31.986310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:51:31.883697Z digest=sha256:32e7931ceb80c6218593e4ac15c6b13b6341f42830d4f5b948a0cc22df4fab9e

Pith citing papers

No inbound Pith citation observations are available.