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Paper Citation Record · LEDGER

Quadratic Split Quaternion Polynomials: Factorization and Geometry

As of 16 August 2026, this Paper Citation Record lists 14 of 14 outbound references and 0 inbound Pith citation observations for arXiv:1908.05093.

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

pith.paper-citation-record.v1
1908.05093 v3

Coverage vector

measured 14 of 14 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:34:35.308023Z

measured 14 of 14 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

14 of 14 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b282bd20-ecc3-4a8e-a818-5656abae615c · outbound

This paper cites Quadratic formulas for generalized quaternions.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Quadratic formulas for generalized quaternions

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.591737Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 7ab3c755-1beb-4341-909c-5af50f797639 · outbound

This paper cites Quadratic formulas for split quaternions.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Quadratic formulas for split quaternions

Reference 2

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verified exact
local_arxiv, observed 2026-08-14T13:34:35.400819Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ecf537f9-fc7a-4c74-adce-5673af79b80f · outbound

This paper cites Analytic Projective Geometry.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Analytic Projective Geometry

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.574549Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 9f52d5d5-77e6-4a77-94f5-9cf9f8a30b30 · outbound

This paper cites On the zeros of polynomials over division rings.

Quadratic Split Quaternion Polynomials: Factorization and Geometry On the zeros of polynomials over division rings

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.556004Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

source=pdf_text observed=2026-08-14T13:34:35.210627Z digest=sha256:f701422cd9b2d019fc0f98c2a3a027f813ac73464d862f9d5da56d817fd25175

Observation a07fb2c7-99a6-4e6c-9040-e098a2bb6f36 · outbound

This paper cites Factorizationofrationalcurves in the Study quadric and revolute linkages.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Factorizationofrationalcurves in the Study quadric and revolute linkages

Reference 5

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unresolved
no resolver link, observed 2026-08-14T13:34:35.217499Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:34:35.217499Z digest=sha256:ada519cae27c18163485fc85abbb37c43310211e121729777aa2364944f31cbd

Observation eb74764c-c8e0-4e06-9d6e-2b2bfa64d6e9 · outbound

This paper cites Quadratic formulas for quaternions.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Quadratic formulas for quaternions

Reference 6

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verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.534806Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 3d48e50a-53ee-454c-b97b-f411362ba414 · outbound

This paper cites Beyond the celestial sphere: Oriented projective geometry and computer graphics.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Beyond the celestial sphere: Oriented projective geometry and computer graphics

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.513190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation ef1f57f2-65ac-4b74-9a0b-9080301b25e6 · outbound

This paper cites Factorization results for left polynomials in some associative real algebras: State of the art, applications, and open questions.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Factorization results for left polynomials in some associative real algebras: State of the art, applications, and open questions

Reference 8

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malformed identifier
no resolver link, observed 2026-08-14T13:34:35.240538Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-14T13:34:35.240538Z digest=sha256:5e0d2ee78b38e9bd5a0ebb4d652596156a6135e08d3d703a8b550df09ac0d8c4

Observation 2a401251-1f71-4ede-b504-35ea0165af7e · outbound

This paper cites Spatial straight-line linkages by factorization of motion polynomials.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Spatial straight-line linkages by factorization of motion polynomials

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.489641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 00665019-0596-4efc-a746-224121636a84 · outbound

This paper cites Kempe’s universality theorem for rational space curves.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Kempe’s universality theorem for rational space curves

Reference 10

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malformed identifier
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 54623a68-9427-4845-a948-31cf19c489c2 · outbound

This paper cites Factorization of motion polynomi- als.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Factorization of motion polynomi- als

Reference 11

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 4e88b807-acd6-43ee-975c-7d635474af74 · outbound

This paper cites The geometry of quadratic quater- nion polynomials in Euclidean and non-Euclidean planes, in: Cocchiarella, L.

Quadratic Split Quaternion Polynomials: Factorization and Geometry The geometry of quadratic quater- nion polynomials in Euclidean and non-Euclidean planes, in: Cocchiarella, L

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.454086Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation 2687b525-351e-4f8e-bd23-b71e6bad299f · outbound

This paper cites Equations in quaternions.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Equations in quaternions

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.436204Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Observation bad81f6d-91d2-4cfd-9dd3-b7bb363d9fd5 · outbound

This paper cites Oriented projective geometry, in: Proceedings of the 3rd ACM Symposium on Computational Geometry, pp.

Quadratic Split Quaternion Polynomials: Factorization and Geometry Oriented projective geometry, in: Proceedings of the 3rd ACM Symposium on Computational Geometry, pp

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:34:35.418854Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

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Pith citing papers

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