Paper Citation Record · LEDGER

Totally positive skew-symmetric matrices

As of 13 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 2026-08-13T06:32:02.005865+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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.799986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.674633Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites backwards.

Totally positive skew-symmetric matrices backwards

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.751120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.779106Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.697621Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:51:31.966182Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.652664Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites The amplituhedron.

Totally positive skew-symmetric matrices The amplituhedron

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.628811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.606468Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.533344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites Cluster algebras.

Totally positive skew-symmetric matrices Cluster algebras

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.587318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.569341Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.551370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.471783Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified exact; local_arxiv, observed 2026-08-11T05:51:31.936673Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.514229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites Collected works.

Totally positive skew-symmetric matrices Collected works

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.491964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.393583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: unresolved; raw_fallback, observed 2026-08-11T05:51:32.447484Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.430102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.721882Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.412176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.376255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.358684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.339186Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.317830Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.297600Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.277538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 29

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 30

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

Resolution: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.224325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.205147Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; raw_fallback, observed 2026-08-11T05:51:32.185753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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

This paper cites an unresolved cited work.

Totally positive skew-symmetric matrices Unresolved cited work

Reference 34

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

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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: verified fuzzy; 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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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 2026-08-13T06:32:02.005865+00:00.

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