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Paper Citation Record · LEDGER

Real spinors and real Dirac equation

As of 16 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:1908.04590.

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

pith.paper-citation-record.v1
1908.04590 v1

Coverage vector

measured 23 of 23 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T13:46:35.771229Z

measured 23 of 23 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

23 of 23 outbound references displayed

  • verified exact4
  • verified fuzzy14
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation d0b706bb-3337-4e27-b567-728185353ea2 · outbound

This paper cites The latter induce corresponding transformations on the entire Clifford algebra Cℓ(E1, 3), in particular, the real spinor fields Ψ( x) transform as Ψ ′ =U Ψ ~U.

Real spinors and real Dirac equation The latter induce corresponding transformations on the entire Clifford algebra Cℓ(E1, 3), in particular, the real spinor fields Ψ( x) transform as Ψ ′ =U Ψ ~U

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.103122Z

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 4d6ddc86-dad6-45b2-bef5-2c01380404c5 · outbound

This paper cites an unresolved cited work.

Real spinors and real Dirac equation Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:46:36.089473Z

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 d3338857-d944-40b7-ae63-504a2f570087 · outbound

This paper cites Hestenes, Space-Time Algebra , 2nd Ed., Springer (2015).

Real spinors and real Dirac equation Hestenes, Space-Time Algebra , 2nd Ed., Springer (2015)

Reference 3

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verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.075274Z

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=2026-08-14T13:46:35.684976Z digest=sha256:f51eeae4a2df9f698b3a06b822bd5a19c8f97f75ef7cdaa41e4658f10ff17c05

Observation a95fa6f4-d1ea-4905-b097-71272b00d955 · outbound

This paper cites Hestenes and G.

Real spinors and real Dirac equation Hestenes and G

Reference 4

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verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.061580Z

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 519b98bf-90cb-4d07-9eb3-f2312fc18c0c · outbound

This paper cites Doran and A.

Real spinors and real Dirac equation Doran and A

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.049991Z

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=2026-08-14T13:46:35.694123Z digest=sha256:bcbc6ca418d6744db53cc4ea0b4ea1378011ce5b5d889785a3931a6318076f08

Observation c14831de-b4e3-4d34-a74d-d56608a6b406 · outbound

This paper cites Hestenes, Real Spinor Fields , J.

Real spinors and real Dirac equation Hestenes, Real Spinor Fields , J

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.037570Z

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=2026-08-14T13:46:35.698479Z digest=sha256:219022a6e4149c35671edf550ddd9f9d29c54d394e6934e6a455fe711c628062

Observation b3c11ff0-67be-4a48-9694-109fdce6ca60 · outbound

This paper cites The Construction of Spinors in Geometric Algebra.

Real spinors and real Dirac equation The Construction of Spinors in Geometric Algebra

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:46:35.865475Z

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=2026-08-14T13:46:35.703235Z digest=sha256:65ffd83f97016ff202ed261ef013ba9ac194fe1be2c89e377834a2799cc0d275

Observation 312c20d6-bdfe-4dcd-bf7a-0a78801c90b4 · outbound

This paper cites Hestenes, Observables, operators, and complex numbers in the Dirac theory , J.

Real spinors and real Dirac equation Hestenes, Observables, operators, and complex numbers in the Dirac theory , J

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.026288Z

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=2026-08-14T13:46:35.708232Z digest=sha256:a57701594adb84d1148be3b2c14bf44738ddc0b844dcf7596ffbde8deffb95d3

Observation 1d5d8b28-2f71-4df5-9343-6aebfe109f02 · outbound

This paper cites Chevalley, The Algebraic Theory of Spinors, Columbia Univ.

Real spinors and real Dirac equation Chevalley, The Algebraic Theory of Spinors, Columbia Univ

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:36.014659Z

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=2026-08-14T13:46:35.712504Z digest=sha256:21fa4053892455f8458e1528163ac0c14e3feea85b54cfc270b5e04685f3b07d

Observation f38e2b1a-b4e3-42ca-a4d2-01ee38fcf6c6 · outbound

This paper cites an unresolved cited work.

Real spinors and real Dirac equation Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:46:36.002829Z

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=2026-08-14T13:46:35.716629Z digest=sha256:417b7cc2f268b5737bb5e81e148fd9fd6bb266de9df968faba8cbdae8e09da80

Observation e205b8b3-689d-43bf-a659-633ec66a5f91 · outbound

This paper cites Lounesto, Clifford Algebras and Spinors , 2nd Ed., Cambridge Univ.

Real spinors and real Dirac equation Lounesto, Clifford Algebras and Spinors , 2nd Ed., Cambridge Univ

Reference 11

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verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.990630Z

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 4a7f04fb-9694-4f99-ab84-2a394bab4804 · outbound

This paper cites Doran, A.

Real spinors and real Dirac equation Doran, A

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.979320Z

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=2026-08-14T13:46:35.725821Z digest=sha256:e97f2a6995a35ce3a32c49dcf460020f0a360571efddfebe8cba501347da1734

Observation 46e366c6-04a3-420d-9f44-c1d4ebd9f79e · outbound

This paper cites Itzykson and J.-B.

Real spinors and real Dirac equation Itzykson and J.-B

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.967521Z

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=2026-08-14T13:46:35.730169Z digest=sha256:5cbcb099ce91ade396c6521b341296e2f8d05f59ce390522dc4435d5934a68e9

Observation 03dba3b5-9c91-456f-aa57-a81ed49c3d9c · outbound

This paper cites an unresolved cited work.

Real spinors and real Dirac equation Unresolved cited work

Reference 14

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:46:35.954848Z

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=2026-08-14T13:46:35.734344Z digest=sha256:8d2ad402574ffc414d906698144883bcbdf25b2ea7d6f4e436a2274593701ee8

Observation 8e9b97dc-fbae-464e-a001-40cbe4bbcca3 · outbound

This paper cites Hestenes, Spacetime Physics with Geomet- ric Algebra, Am.

Real spinors and real Dirac equation Hestenes, Spacetime Physics with Geomet- ric Algebra, Am

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.942750Z

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 0518ffca-0ab9-429f-b7d0-9d4c7627916c · outbound

This paper cites Hestenes, Space-Time Structure of Weak and Electromagnetic Interactions , Found.

Real spinors and real Dirac equation Hestenes, Space-Time Structure of Weak and Electromagnetic Interactions , Found

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.931069Z

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=2026-08-14T13:46:35.742806Z digest=sha256:e2b7faed67e8cc034c95fbbc64ba74f22d4ae49c879b208bebf1a12db084fede

Observation 11f575fd-295f-459d-86a6-e016d6644c3c · outbound

This paper cites Gauge Gravity and Electroweak Theory.

Real spinors and real Dirac equation Gauge Gravity and Electroweak Theory

Reference 17

Resolution
verified exact
local_arxiv, observed 2026-08-14T13:46:35.847670Z

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=2026-08-14T13:46:35.746715Z digest=sha256:b27f45946a9be63c8bc1f7ce12907254778781c3d5da0d92f8e0f6a1fb52d40b

Observation 2ddfbe75-5337-4b0e-b4f8-b1a72f010b10 · outbound

This paper cites Spacetime algebra and electron physics.

Real spinors and real Dirac equation Spacetime algebra and electron physics

Reference 18

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verified exact
local_arxiv, observed 2026-08-14T13:46:35.830439Z

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 c24903c5-af65-4d66-9b20-2999e0ef2cb6 · outbound

This paper cites Greiner, Relativistic Quantum Mechanics.

Real spinors and real Dirac equation Greiner, Relativistic Quantum Mechanics

Reference 19

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verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.918906Z

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=2026-08-14T13:46:35.755398Z digest=sha256:afd61944b99e17ce4aa5067ee8bb828f0cb644240ceb71defb0467a5fde8b037

Observation 0818fd55-9d35-4a8e-afb6-96e7515899cb · outbound

This paper cites an unresolved cited work.

Real spinors and real Dirac equation Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:46:35.906456Z

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=2026-08-14T13:46:35.759243Z digest=sha256:b705ae4b17f0fabe82d3f3a753ff84950bccb0da34fa14995ad2025bd66167b0

Observation a9edfa13-6b37-42a8-84ec-bcb9107c743f · outbound

This paper cites an unresolved cited work.

Real spinors and real Dirac equation Unresolved cited work

Reference 21

Resolution
unresolved
raw_fallback, observed 2026-08-14T13:46:35.894078Z

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=2026-08-14T13:46:35.763410Z digest=sha256:a60a6cfca706436b63b0872340c7afd7e507e2759268c2a3281c4bd94dd2271e

Observation 06ae0938-94a2-4387-a401-43a9e85f3e6e · outbound

This paper cites Localised Solutions of the Maxwell-Dirac Equations.

Real spinors and real Dirac equation Localised Solutions of the Maxwell-Dirac Equations

Reference 22

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verified exact
local_arxiv, observed 2026-08-14T13:46:35.811058Z

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=2026-08-14T13:46:35.767224Z digest=sha256:fd5abaf86502592b9b2a0b5b60c72979de0267119597594f29ee8867b0952b15

Observation 070ae317-084f-4e51-864e-853d7364e39e · outbound

This paper cites Hestenes, Local Observables in Quantum Theory, Am.

Real spinors and real Dirac equation Hestenes, Local Observables in Quantum Theory, Am

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T13:46:35.880295Z

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=2026-08-14T13:46:35.771229Z digest=sha256:a1a294f65d7793bc81ed54e748fa82a34211e504cecb02179e7f51bf98aeda9d

Pith citing papers

No inbound Pith citation observations are available.