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Paper Citation Record · LEDGER

Geometric Properties and Distance Inequalities on Grassmannians

As of 22 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 1 inbound Pith citation observation for arXiv:2412.15161.

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

pith.paper-citation-record.v1
2412.15161 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T11:43:48.483561Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:49:54.904298Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T12:49:56.088902Z

Reference resolution

21 of 21 outbound references displayed

  • verified exact0
  • verified fuzzy8
  • unresolved13
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f37eb1ed-e2f0-4493-8531-65dba1fac6a5 · outbound

This paper cites Absil, R.

Geometric Properties and Distance Inequalities on Grassmannians Absil, R

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.816977Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.389523Z digest=sha256:32ada450b3da61010fadd28c3e1472181b6feccd7571d23dcf856a2af76b39ba

Observation b53e744c-de11-4667-b6a7-9c26a2622f69 · outbound

This paper cites Batzies, K.

Geometric Properties and Distance Inequalities on Grassmannians Batzies, K

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.805309Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.395168Z digest=sha256:ada72efa02977c0d41834c94b38afd72179812596cb70894349f86f82956aa3b

Observation ebeeedd3-2251-4e55-8c7b-1d155fc7e4bb · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.793169Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.399673Z digest=sha256:9cb41a85ffef869e115ccf47e02c886592970dcf596794b3545fb642d2857b1b

Observation a5a5eb47-79c3-4f4a-9f47-a623409b7f5a · outbound

This paper cites Cheeger and D.

Geometric Properties and Distance Inequalities on Grassmannians Cheeger and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.780732Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.404527Z digest=sha256:2933e998c302b0501813e823c6a2a230f6f0654db728039f8e43581d776dbb65

Observation 22894ec5-fedb-4347-b6ec-f584076b4148 · outbound

This paper cites Conde and G.

Geometric Properties and Distance Inequalities on Grassmannians Conde and G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.767785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.408988Z digest=sha256:c6180ed0b05cc7508bf7cd6545d455844bc9707863ee34185436b6b8f9f0c057

Observation bc345937-ae00-4d0d-97b7-865b96ef4b28 · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.754385Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.413769Z digest=sha256:4cf58c67eab07f30928648f070db73cb52ec1b59cc1a42cb8ad1900a449fe546

Observation 6f89290c-31b8-42d3-81da-97df06ae7d98 · outbound

This paper cites Grove and H.

Geometric Properties and Distance Inequalities on Grassmannians Grove and H

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.741655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.418579Z digest=sha256:26582dad5fbc09f90e8aab53cb9f7a9bfc7ae301e466b274042349fb0ad3d7c3

Observation fa49b267-6ff9-4ef6-af4b-9f970e20b975 · outbound

This paper cites Helgason.

Geometric Properties and Distance Inequalities on Grassmannians Helgason

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.728048Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.423028Z digest=sha256:67bf668916381d4339eb808766e0faa8e71e2bb5735cf1c3f0c2c05d0e9bf76a

Observation 00b64718-1b62-4abb-81f3-4dcfa4eee5fe · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 9

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.714626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.428236Z digest=sha256:1b1c331df3e16f6cf6358e3c0247f29ea8ed060c8ee7e38e316fd330237cdf2f

Observation b62d450c-9a7b-4192-a238-d76fc63dc64b · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.702347Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.432829Z digest=sha256:ca89e4ed9ed105d202339884e8776c747d4b70816e2c5da38529f2765e6f4c78

Observation a0f58109-4f68-4676-a29f-84540cda0cdf · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 11

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.685785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.437099Z digest=sha256:d66d201d15e1877fba4e6f9d64e1779de313fca40a2e257616bdc154f0bc9cd3

Observation fae9b621-4273-492c-aebc-f2fedb62926d · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.670134Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.442620Z digest=sha256:2d74e3e9d64b2edfcb4a6919b4a406413ce36d9f59f1aecc3173a21e3a6585e1

Observation 27f741a5-fa56-40d1-af61-8eeb82634a72 · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.654086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.446818Z digest=sha256:f7cd6c77e7f37d95c10d381a433db54bbdb8b7bda4ebf39da6ec12c642280292

Observation be50b71a-e575-4974-ac61-b7a6f6c52c38 · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.635871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.451278Z digest=sha256:54ff4d27ee19c82878cae6b3c1a87bf3732507f880c84a71a6da30b7887ba079

Observation 64a2f46d-fad6-4174-a1f7-19be643e2114 · outbound

This paper cites Machado and F.

Geometric Properties and Distance Inequalities on Grassmannians Machado and F

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.623346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.455614Z digest=sha256:7597f416fe4b55b38d5684598f33920066ee86c45a49ac2dc9338be18d7a1639

Observation 7e3fdf04-8330-4be2-acfd-1bdd118ecf48 · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.610439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.461702Z digest=sha256:237e7cdb7c39d8dfc24e72a107ddb00e8152277f56f9755e7712aa6b853569c6

Observation dd9ddc76-531d-4eaa-895a-d43963100f63 · outbound

This paper cites Pusz and S.

Geometric Properties and Distance Inequalities on Grassmannians Pusz and S

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T11:43:48.596210Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.466294Z digest=sha256:0ff08ae8784a9d7479806c25e1acb05976b145cca798e851a9107a6f9a94dada

Observation 38f247f0-7efc-44ba-85ba-faa6c51d3bf0 · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.577277Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.470559Z digest=sha256:d3e6d1664ce20fa1de801a8fc773f904a18c203c6b460bf1a8f841ac60fa6a57

Observation edab7bf8-8f9c-4b48-9782-0e9e8d9d250a · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 19

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.559219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.474918Z digest=sha256:e8221ca02686d82c36bfe6db7464d1c959e5958bb6d71311e2640a6eb8f71c71

Observation 06fb76c7-0780-4bfc-b9ae-ccc05b36733a · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.543670Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.479178Z digest=sha256:d1726b178f04b67e00216b1e6de7ea2c3f1694ce932d3ad4bdcc847fdb195a49

Observation 02734692-1148-4ba8-a4b3-d20601aae152 · outbound

This paper cites an unresolved cited work.

Geometric Properties and Distance Inequalities on Grassmannians Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-11T11:43:48.527806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-11T11:43:48.483561Z digest=sha256:5a40e1c44edb276aa98d7cae34cc434faf9db1a70c558e61081077d6ab1b3d39

Pith citing papers

Observation 59606cb7-ba2d-4614-8e48-2ddf0438319d · inbound

Color Image Set Recognition Based on Quaternionic Grassmannians cites this paper.

Color Image Set Recognition Based on Quaternionic Grassmannians Geometric Properties and Distance Inequalities on Grassmannians

Reference 30

Resolution
metadata mismatch
local_arxiv, observed 2026-08-07T12:49:56.163919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-07T12:49:54.904298Z digest=sha256:5d75174141473b9c766edfcdbbd8262b279c27b4a52e93e5873a4b9bc952215a