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Paper Citation Record · LEDGER

On the Upper Bounds for the Matrix Spectral Norm

As of 19 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2506.15660.

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

pith.paper-citation-record.v1
2506.15660 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:44:07.528528Z

measured 23 of 23 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+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

23 of 23 outbound references displayed

  • verified exact1
  • verified fuzzy9
  • unresolved13
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a49583a3-84fe-4134-86f1-6b1b59f4553e · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:44:07.892950Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 1d6ceb2b-9e98-44fd-9cc2-95c3c7096635 · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 2

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e5c398aa-5572-463c-9c1f-549a7ab52540 · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:44:07.860334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 44d24861-2c10-48ae-8df1-f4023efe2bf1 · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 4

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 93551544-5712-45b8-9923-f28936b32eeb · outbound

This paper cites Dixon, Estimating extremal eigenvalues and condition numbers of matrices, Siam (1983) 812–814.

On the Upper Bounds for the Matrix Spectral Norm Dixon, Estimating extremal eigenvalues and condition numbers of matrices, Siam (1983) 812–814

Reference 5

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 92a523ca-7c0a-4540-9795-7b8fd091eca7 · outbound

This paper cites Halko, P.

On the Upper Bounds for the Matrix Spectral Norm Halko, P

Reference 6

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation ac1e1d49-17ab-42d3-b078-3af247a76473 · outbound

This paper cites Boucheron, G.

On the Upper Bounds for the Matrix Spectral Norm Boucheron, G

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:44:07.814905Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d7f3c028-e390-4897-b18b-86d1fb7213ed · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 8

Resolution
unresolved
no resolver link, observed 2026-08-15T19:44:07.460758Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation 2f888fad-06c6-4d67-a039-6cb55669dc36 · outbound

This paper cites Bujanovi´ c, D.

On the Upper Bounds for the Matrix Spectral Norm Bujanovi´ c, D

Reference 9

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation a0e115c4-90b0-4cc2-83c3-216581f30444 · outbound

This paper cites Kuczy´ nski, H.

On the Upper Bounds for the Matrix Spectral Norm Kuczy´ nski, H

Reference 10

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 0b63fb35-a610-43b3-b47e-d49abdb4e0fc · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 11

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation deb9cd26-3092-4af8-9778-84cbd7b75a57 · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 12

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation f0953943-ac2b-4fa1-b65f-378ee2784cdc · outbound

This paper cites Avron, S.

On the Upper Bounds for the Matrix Spectral Norm Avron, S

Reference 13

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fa2ec6b5-c5cc-4763-ba17-2078f8152f10 · outbound

This paper cites Roosta-Khorasani, U.

On the Upper Bounds for the Matrix Spectral Norm Roosta-Khorasani, U

Reference 14

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation e94a3949-aea5-4a8a-bc65-69bda29275e3 · outbound

This paper cites Hutch++: Optimal Stochastic Trace Estimation.

On the Upper Bounds for the Matrix Spectral Norm Hutch++: Optimal Stochastic Trace Estimation

Reference 15

Resolution
unresolved
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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation abe549ec-5937-4c2c-963d-1fe0641e10da · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 16

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7c319be5-c103-4bdc-94f8-67909999de26 · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 17

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 82982900-c9b3-4ab5-a9a8-912b97ca4a27 · outbound

This paper cites Bujanovic, D.

On the Upper Bounds for the Matrix Spectral Norm Bujanovic, D

Reference 18

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 6a0b729f-45b9-478d-8702-47c14fbe2aab · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 19

Resolution
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no resolver link, observed 2026-08-15T19:44:07.509984Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:44:07.509984Z digest=sha256:4dd14bcb9bf3d891228370f266049cec398cb2afc8e9977d929e0941eb3221bd

Observation d1cd4dbb-4cbb-4daf-ba6e-bf371b0ea95a · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 20

Resolution
verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation d4865543-f32d-4c9a-8f72-f7198555a5da · outbound

This paper cites Martinsson, J.

On the Upper Bounds for the Matrix Spectral Norm Martinsson, J

Reference 21

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation 7b2ee835-c168-49e1-9be8-5d43a435d9b3 · outbound

This paper cites an unresolved cited work.

On the Upper Bounds for the Matrix Spectral Norm Unresolved cited work

Reference 22

Resolution
unresolved
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Observation fe784f74-4cda-4577-aaf2-f4ef5306d205 · outbound

This paper cites 15 Using Jensen’s inequality we obtain P ξ2 1≤η =E I ξ2 1≤η =E η Eξ2 1 I(ξ2 1≤η)|η =E η χ2 1(η) ≤χ 2 1(E[η]).

On the Upper Bounds for the Matrix Spectral Norm 15 Using Jensen’s inequality we obtain P ξ2 1≤η =E I ξ2 1≤η =E η Eξ2 1 I(ξ2 1≤η)|η =E η χ2 1(η) ≤χ 2 1(E[η])

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:44:07.610731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

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Pith citing papers

No inbound Pith citation observations are available.