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Paper Citation Record · LEDGER

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods

As of 18 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2604.11222.

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

pith.paper-citation-record.v1
2604.11222 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-10T15:24:11.768939Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

29 of 29 outbound references displayed

  • verified exact0
  • verified fuzzy18
  • unresolved11
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7923f16a-f4f0-4195-bd7f-1098f85f13d7 · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.080391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 2e1d70a1-bc9b-4aba-bbab-44a3e9d2e89d · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.096070Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8f748453-2d25-41bd-b2bb-7cb3c30a3bdf · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.111926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 298626f3-2a9d-4718-877e-682446322942 · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.113838Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:4aed8833dd945ccbc61d7250e2db97b97eabd74132eb6802262e469b8e36ff8e

Observation 411e3288-e4ed-4c18-8b27-650ca7d95b60 · outbound

This paper cites Baker, Right eigenvalues for quaternionic matrices: a topological approach,Lin- ear Algebra Appl.,286, (1999), 303–309.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Baker, Right eigenvalues for quaternionic matrices: a topological approach,Lin- ear Algebra Appl.,286, (1999), 303–309

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:73a3fe799f27105c7295516238e2a52c795a93cbdc12b2f0aaa42f96229c6e5c

Observation 80e33cb6-2bbe-44c5-9be1-1005b7d9a03d · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.082581Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation ad7803bf-e702-4daa-b6ff-17b358e7cd54 · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 7

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.118069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:a039f8e7c21acb752ea0bdb694c6d1063b8c6d1effbdda3e1fd7565fd6f2ee09

Observation 08b79a20-e24c-4074-a404-2ffc719595cf · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 8

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.103992Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:2a8f2d751775f1ab9e4f7c3fc45f6e6846b35f04ce95459c085669c1d32d7a6a

Observation a574a98f-c65c-457f-aee7-0434f8380e4a · outbound

This paper cites Gentili, D.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Gentili, D

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.107843Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:3279461de8c08981dcd11371e82baeff76bf1a56419598741225289d05351133

Observation e7adf680-fc29-4f96-b31a-3b8b677f5d63 · outbound

This paper cites Gerstner, R.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Gerstner, R

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.091928Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:059b52631445da460b0f94de9af6a083de349d362f8ccfb99cf3a2335426f19a

Observation 5ab8372b-2c55-4b2f-beea-5a4202798da4 · outbound

This paper cites Gordon, T.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Gordon, T

Reference 11

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:d5e302be6d82fae5659ac80c583db61e4ed1b049d2dd24775cc4e077788a47c9

Observation 6d69bde5-6820-4417-940a-e25a84a0ee7f · outbound

This paper cites Hankins,Sir William Rowan Hamilton.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Hankins,Sir William Rowan Hamilton

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.093943Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:e4e17d46b0dc6dd7db11a1eac7cb3def8b14c0f9645152041a52f09c76a8a17b

Observation 6f88115f-1d5b-43d3-9209-62a405f43116 · outbound

This paper cites Huang, W.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Huang, W

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.097974Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:9a067d7d936e4b4f26ea5488161bfcfa061b81e87154ffe0ccbe13818236443f

Observation 66e052cb-7fc5-4327-a264-adbd324d742d · outbound

This paper cites Janovsk´ a, G.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Janovsk´ a, G

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 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:593d460f1a1092b0d2ceda0c989b9abed80e214d168cb6033d18431bc75b5868

Observation 6412748b-0886-47f2-9158-8c10089dc520 · outbound

This paper cites Janovsk´ a, G.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Janovsk´ a, G

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.075709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:dc14ce8a71cf0271012f244458abe983e6e71790d0dfb53643b8e755ad64a39c

Observation dbb6f6eb-6c1e-4dc2-81e2-501ded128b08 · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 16

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.101926Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:de092dd1b7bf693b82f6f1e93e20e3fec1346bd098203ce469ab41e1e29318a3

Observation 41d8cf88-7a37-42a6-90b4-140e63b10f45 · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.105889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:98e464450bd3ed4610f3abab3db07378c2b8b940a7ffb6154d845406bc137f10

Observation 9b09e5fb-84c4-4aeb-ab97-0eaa76017ebf · outbound

This paper cites Niven,Equations in quaternions,Amer.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Niven,Equations in quaternions,Amer

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.115896Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:765666985633807df21af6c51cbf45169625f5d90e05115c692cac9f122caf86

Observation 97ba28bf-4ead-4c4c-ba28-90e9cc465531 · outbound

This paper cites Opfer, Polynomials and Vandermonde matrices over the field of quaternions, Electron.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Opfer, Polynomials and Vandermonde matrices over the field of quaternions, Electron

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.084583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:ec031fc65c3d5c86bcd7068abd9edcbf7a54a83eb88bb7bf5c12ead7574e087e

Observation e6a44e50-21d4-4a66-bb55-9479b1ffc45a · outbound

This paper cites Pereira,Quaternionic polynomials and behavioral systems.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Pereira,Quaternionic polynomials and behavioral systems

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.120334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:3699049bc95fed25e735df6cc1f97ce0bbeb713755e664350c639955f2d048db

Observation d2281081-e5a9-4023-8c84-059c5f7197ac · outbound

This paper cites Pogorui, M.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Pogorui, M

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.109883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:d1e5e7ed296f67f6b84db0685b85ec7fada7f2502b7aad19839bf5fd95679c41

Observation 07c65df5-eda5-4afb-bf30-c90d47fd8570 · outbound

This paper cites Rodman,Pairs of hermitian and skew hermitian quaternionic matrices canonical forms and their applications,Linear Algebra Appl.429, (2008), 981–1019.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Rodman,Pairs of hermitian and skew hermitian quaternionic matrices canonical forms and their applications,Linear Algebra Appl.429, (2008), 981–1019

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.078492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:a541636e1948a80f5c1cb817295259550d7c18651dc12eca7ec68373d2865176

Observation 3c3003fc-7391-44da-b18f-3f1e7cd2f7a1 · outbound

This paper cites Rodman, Stability of invariant subspaces of quaternion matrices.Complex Anal.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Rodman, Stability of invariant subspaces of quaternion matrices.Complex Anal

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.065379Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:5c766544d2d5d29ccdd43934ad2467a80abdd6ffad6eec6bb1549d957e2403fa

Observation b6143172-bbf2-41de-80bc-783265c440ae · outbound

This paper cites Serodio, E.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Serodio, E

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.061255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:2099d109a015ec4ed561f6ba8adb5ea74a1b18b0a2fded5dc14e1196b22b97a9

Observation 1fd17b75-99d1-4d2c-8bd3-638843f14872 · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.063114Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:5513392a2143de14e273f2bb8e0ac2abb7bf67c15ac96a7269703581cdff334a

Observation c748d03f-ee4c-471f-bdae-795309a7b86b · outbound

This paper cites an unresolved cited work.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-05-18T02:30:40.067418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:5b720e9b46fee8d477fbe15d2a169fe453e80f6ff4faec45214b05e31bfb4302

Observation 723e0d21-a3ff-4e53-b600-db76f509ec6f · outbound

This paper cites Zhang, Gershgorin type theorems for quaternionic matrices,Linear Algebra Appl., 424, (2007), 139–153.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Zhang, Gershgorin type theorems for quaternionic matrices,Linear Algebra Appl., 424, (2007), 139–153

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.069480Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:5829c03c9542eb37c0c2c5125f2fd952d131b7cced50bf8c5b784a280207a6c0

Observation 14f7631e-dcc2-419e-8cd3-53b4fc3a78ad · outbound

This paper cites Zhang, Quaternions and matrices of quaternions,Linear Algebra Appl.,251, (1997), 21–57.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods Zhang, Quaternions and matrices of quaternions,Linear Algebra Appl.,251, (1997), 21–57

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.071590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:ccbcefb1ad448ae940b69ee65a7d24b80dbd3703c7297cb5b990be93e46add32

Observation 72f1242a-baa9-4ea7-ad9c-3e355fa1f5f4 · outbound

This paper cites " " Analyzes the c o e f f i c i e n t s to predict which theorem will yield the sharpest upper bound.

Bounds for the Zeros of Quaternionic Polynomials via Matrix Methods " " Analyzes the c o e f f i c i e n t s to predict which theorem will yield the sharpest upper bound

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-05-18T02:30:40.073725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-10T15:24:11.768939Z digest=sha256:5d9a83faba13d49e40cf2b3c59209ce26805b9f0873c54d6eec19b618dc33d80

Pith citing papers

No inbound Pith citation observations are available.