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Paper Citation Record · LEDGER

The Grassmann distance complexity

As of 13 August 2026, this Paper Citation Record lists 22 of 22 outbound references and 0 inbound Pith citation observations for arXiv:2411.16589.

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

pith.paper-citation-record.v1
2411.16589 v1

Coverage vector

measured 22 of 22 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T13:07:33.248763Z

measured 22 of 22 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

22 of 22 outbound references displayed

  • verified exact1
  • verified fuzzy11
  • unresolved10
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 4399e58d-a3b7-4a38-9f3f-bc1184f963a7 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.640095Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation e6ba7ccf-42e5-4c60-8743-96dcddefdd21 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.623936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 4ca5a0d3-878f-4cb1-b8b2-8d6aecbf20d4 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.608129Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 1b689424-3021-4a87-afc5-71e6b4a89190 · outbound

This paper cites Riemannian geometry.

The Grassmann distance complexity Riemannian geometry

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.592160Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.152200Z digest=sha256:1deae247af896354f65539ef93e6db2deb13723963aa48043db05f9ed07ef8d1

Observation 907c0795-9d3a-46b4-b29b-ef6d39571c34 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.576252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.157533Z digest=sha256:12b737586454b66a8e3c887bbc0df9ff3462fcf7a5c092ff61163f5d013fced6

Observation 58d07a4e-a1b0-4b12-8be4-59075b988e8d · outbound

This paper cites The approximation of one matr ix by another of lower rank.

The Grassmann distance complexity The approximation of one matr ix by another of lower rank

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.560124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.162787Z digest=sha256:e012fa19bddf0ddbf5559a76c3f8a0f39c6e110b025855850935cbb3f69a9ee9

Observation 5c54e67b-f68e-4aa9-bec4-0437557340d9 · outbound

This paper cites Feh´ er and´Akos K.

The Grassmann distance complexity Feh´ er and´Akos K

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.543426Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.169027Z digest=sha256:9d9187ebfcfc3950e0bd8e4f596fe2f752d0dbe1f662eeaedf42513b1974f4d8

Observation bedfbe62-6246-4bf2-bf09-5ad7b02cdd03 · outbound

This paper cites Young tableaux, volume 35 of London Mathematical Society Student Texts.

The Grassmann distance complexity Young tableaux, volume 35 of London Mathematical Society Student Texts

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.527382Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.174442Z digest=sha256:022f4161a7a35854aff8bd6e49e5ff3a28ba22ccd11fe2c855f4be564598dbfa

Observation 117459e7-c270-4f4b-b66b-2d30e9b3d1ca · outbound

This paper cites Complexity of co mputations with Pfaffian and Noetherian functions.

The Grassmann distance complexity Complexity of co mputations with Pfaffian and Noetherian functions

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.510964Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.179529Z digest=sha256:45666ef05f17d68e04c71516d8525226b74a36c445e9c1f46ce492f54be2ccd1

Observation 8015c538-8719-482d-bd62-e5a7f5daed86 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.492065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.184612Z digest=sha256:8f5a930a7d5cee9eec4ce4193ac9c91aa83a85281e2f66b1e1fc2cecb46a204f

Observation f70a6901-d005-4107-81e6-b7ca42db2d8f · outbound

This paper cites Morse theory of Euclidean distance functions from algebraic hypersurfaces.

The Grassmann distance complexity Morse theory of Euclidean distance functions from algebraic hypersurfaces

Reference 11

Resolution
verified exact
local_arxiv, observed 2026-08-12T13:07:33.295626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Observation 14d15e43-ea69-4119-9468-5ea0fc4e1c86 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.473604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.195598Z digest=sha256:7359ee15d9981dc37ff90bc1eaea68cecf9bef90de59cb8784153d50411a4c77

Observation b5cea300-75e7-4027-a4a9-43c3077134bd · outbound

This paper cites Horn and Charles R.

The Grassmann distance complexity Horn and Charles R

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.456645Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.201511Z digest=sha256:887ef9481003af37694097240157bf8c025ec0ee077c955d411aa7e677c7e45b

Observation b8b7bc48-2603-4704-9af3-dde1f042825a · outbound

This paper cites Generalized power method for sparse principal component analysis.

The Grassmann distance complexity Generalized power method for sparse principal component analysis

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.439880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.206809Z digest=sha256:f04302ab50c047dc71551c7fbe58802703ef054bd7b0647ce1962f0d674b0b00

Observation 5bf50180-9cb2-446d-a716-ebf38d0bc1d3 · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 15

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.423078Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.212104Z digest=sha256:cfe37933b80e2583c961d1c60ceaef3374190c9f663db0f33fb7babe2c164e38

Observation df362d76-78d3-4b16-bd7a-5c045d6b28d9 · outbound

This paper cites Absil Kyle A.

The Grassmann distance complexity Absil Kyle A

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.406077Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.217089Z digest=sha256:0e0f5a0f58b69a0a4b549812f43d4f9a3a78b13de35906e17d3abf050bef0f1b

Observation 2c67f4c7-8b2a-4be8-9187-baebec8db9bc · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-12T13:07:33.222037Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:07:33.222037Z digest=sha256:f0d957d9f579ae8ecc1b55ea8858861c59cc9742e2bc3502bfb41518fa700839

Observation 664ba53a-20a0-4239-8762-05636911737c · outbound

This paper cites an unresolved cited work.

The Grassmann distance complexity Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-08-12T13:07:33.378396Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.227114Z digest=sha256:a49d8f426b93083e2b7d8280525f4c84fbc167fc71c82494578e615651b45590

Observation 53868404-5a70-4c81-a9b8-fe7cea182663 · outbound

This paper cites Tame topology and o-minimal structures , volume 248 of London Mathematical Society Lecture Note Series.

The Grassmann distance complexity Tame topology and o-minimal structures , volume 248 of London Mathematical Society Lecture Note Series

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-12T13:07:33.232569Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-12T13:07:33.232569Z digest=sha256:422b5bff6b3f1c81280b0b63d2bee18c7184438ec3985f8521cde9c420d24891

Observation 84d48a5f-7bd4-447b-89c9-fd1f038b2cc3 · outbound

This paper cites Differential geometry of Grassmann man ifolds.

The Grassmann distance complexity Differential geometry of Grassmann man ifolds

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.348738Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.238183Z digest=sha256:7091800c62799115e24a6ffed65838cd8c310fdd4e93bfbaa7a7b8c299cc4a84

Observation 840ed325-ac4c-4030-ac31-8373b9a58afd · outbound

This paper cites Schubert varieties and distance s between subspaces of different dimensions.

The Grassmann distance complexity Schubert varieties and distance s between subspaces of different dimensions

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.330846Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

source=pdf_text observed=2026-08-12T13:07:33.243698Z digest=sha256:c38eed31b48a6ff31020321664229016dd18a566ffb39d5c52d978e8852da55f

Observation a1060b16-ab8b-4345-9500-05e8de58147c · outbound

This paper cites Betti numbers of semi-Pfaffian sets.

The Grassmann distance complexity Betti numbers of semi-Pfaffian sets

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-12T13:07:33.313887Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

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Pith citing papers

No inbound Pith citation observations are available.