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Paper Citation Record · LEDGER

The Dirac Vacuum in Discrete Spacetime

As of 14 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2412.03466.

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

pith.paper-citation-record.v1
2412.03466 v3

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T22:29:12.302218Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+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

36 of 36 outbound references displayed

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  • verified fuzzy34
  • unresolved2
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  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 19ed0ab0-f61a-4ef3-9d17-a5ae21ecb899 · outbound

This paper cites Simulating physics with computers.

The Dirac Vacuum in Discrete Spacetime Simulating physics with computers

Reference 1

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation af17af04-79fc-4ac3-b7cb-b252fde51d30 · outbound

This paper cites A review of quantum cellular automata.

The Dirac Vacuum in Discrete Spacetime A review of quantum cellular automata

Reference 2

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 1e0a7158-5728-436c-9717-5745fd6f3b68 · outbound

This paper cites Reversible quantum cellular automata.

The Dirac Vacuum in Discrete Spacetime Reversible quantum cellular automata

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T22:29:12.141392Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:29:12.141392Z digest=sha256:1940cd59394b8f3b9fbb1f8d30d8a13e4f5fc8e8bfe45557fcbbfd3fdb225368

Observation 93a82a70-0d6c-48fa-b0d8-1a0cbe225e02 · outbound

This paper cites Light-cone lattice approach to fermionic theories in 2d: The massive thirring model.

The Dirac Vacuum in Discrete Spacetime Light-cone lattice approach to fermionic theories in 2d: The massive thirring model

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:13.127760Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 7816968e-5126-4f67-92ee-2be8d954a398 · outbound

This paper cites Quantum cellular automata and free quantum field theory.

The Dirac Vacuum in Discrete Spacetime Quantum cellular automata and free quantum field theory

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:13.114726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 84e9e576-a5e8-49d5-a2b2-c06affcf5dd1 · outbound

This paper cites “Dirac quantum cel- Accepted in Quantum 2025-08-26, click title to verify.

The Dirac Vacuum in Discrete Spacetime “Dirac quantum cel- Accepted in Quantum 2025-08-26, click title to verify

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:13.002142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.155050Z digest=sha256:7ab021df6020a8594bf511bc52161340099755b24702634f3b2ec858b14ba7b4

Observation 04ebc544-344e-427c-8417-e4de0f7881e8 · outbound

This paper cites Quantum electrodynamics from quantum cellular automata, and the tension between symmetry, locality, and positive energy.

The Dirac Vacuum in Discrete Spacetime Quantum electrodynamics from quantum cellular automata, and the tension between symmetry, locality, and positive energy

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.986514Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.158877Z digest=sha256:5da650d6118614d39308dc087324f199cdade0f27e16bc28818d397197d439e2

Observation 917ed457-8e82-431f-95d5-358afff6122c · outbound

This paper cites Weyl, dirac, and maxwell equations on a lattice as unitary cellular automata.

The Dirac Vacuum in Discrete Spacetime Weyl, dirac, and maxwell equations on a lattice as unitary cellular automata

Reference 8

Resolution
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raw_fallback, observed 2026-08-11T22:29:12.965629Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation a67ff8f7-940c-4e8d-b5d2-f46230d43475 · outbound

This paper cites Lattice boltzmann equation for quantum mechan- ics.

The Dirac Vacuum in Discrete Spacetime Lattice boltzmann equation for quantum mechan- ics

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.953900Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.173705Z digest=sha256:dc30b227adbf7a395fe10c0bbd6ac3ca703c6a47f01780275b472ea965857e86

Observation c4a87c49-b723-434f-816e-cd5b58ab6581 · outbound

This paper cites Discrete spacetime and relativistic quan- tum particles.

The Dirac Vacuum in Discrete Spacetime Discrete spacetime and relativistic quan- tum particles

Reference 10

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.177154Z digest=sha256:e12f65da9b3da2572b0cab78c0346d7f697baab639ec16e4357c98100b8e8e12

Observation bfccaec4-1f67-4322-9f03-7aa81418075c · outbound

This paper cites Dis- crete spacetime, quantum walks, and rela- tivistic wave equations.

The Dirac Vacuum in Discrete Spacetime Dis- crete spacetime, quantum walks, and rela- tivistic wave equations

Reference 11

Resolution
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raw_fallback, observed 2026-08-11T22:29:12.931723Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.185052Z digest=sha256:744514e34e4de58d2b759d5e77553ccfd2bcfb5eb4e3e44a2e676a4af7b0f699

Observation 23f93d5c-0239-4a2d-aefe-a8895ac56004 · outbound

This paper cites Derivation of the dirac equation from principles of information processing.

The Dirac Vacuum in Discrete Spacetime Derivation of the dirac equation from principles of information processing

Reference 12

Resolution
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raw_fallback, observed 2026-08-11T22:29:12.915648Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation d96f67ec-824e-49dd-94d1-eee6f57e642f · outbound

This paper cites The dirac equation as a quantum walk: higher dimensions, observational con- vergence.

The Dirac Vacuum in Discrete Spacetime The dirac equation as a quantum walk: higher dimensions, observational con- vergence

Reference 13

Resolution
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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 40b97cca-e37a-4a14-b0ad-90d7ab2af4f4 · outbound

This paper cites A relativistic discrete spacetime formulation of 3+ 1 qed.

The Dirac Vacuum in Discrete Spacetime A relativistic discrete spacetime formulation of 3+ 1 qed

Reference 14

Resolution
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raw_fallback, observed 2026-08-11T22:29:12.884129Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 8f84678e-79ec-443e-958f-232ae0c3775d · outbound

This paper cites A quantum cellular automaton for one-dimensional qed.

The Dirac Vacuum in Discrete Spacetime A quantum cellular automaton for one-dimensional qed

Reference 15

Resolution
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raw_fallback, observed 2026-08-11T22:29:12.853905Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 280dd869-0b35-45d1-8327-6e96ba324567 · outbound

This paper cites Quantumfieldtheoryfromaquantumcellu- larautomatoninonespatialdimensionanda no-go theorem in higher dimensions.

The Dirac Vacuum in Discrete Spacetime Quantumfieldtheoryfromaquantumcellu- larautomatoninonespatialdimensionanda no-go theorem in higher dimensions

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.833354Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation c5a63738-0478-4eac-b7d0-9853f24542a6 · outbound

This paper cites Fermion doubling in quantum cellular automata.

The Dirac Vacuum in Discrete Spacetime Fermion doubling in quantum cellular automata

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-11T22:29:12.210868Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T22:29:12.210868Z digest=sha256:dc0d3631c4b1a6d2259229c74a8a0084579ab23f9c7a526d07555795c044288e

Observation a417100d-b7f5-44ee-a210-7c901486b595 · outbound

This paper cites Quantum walks as mass- less dirac fermions in curved space-time.

The Dirac Vacuum in Discrete Spacetime Quantum walks as mass- less dirac fermions in curved space-time

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.817259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.214148Z digest=sha256:403ada297650a41238386bf424494ab198dcb3692ad22ce8205580eb8eb98562

Observation fff6592d-763b-4e4e-b055-caff46b42761 · outbound

This paper cites A theory of electrons and protons.

The Dirac Vacuum in Discrete Spacetime A theory of electrons and protons

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.806374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.217472Z digest=sha256:c1d1a017e7956ef35ce59aa32d68966578e002158ddcf893f75514ba07a8ed7a

Observation 31dd722f-fcff-4907-b32e-b0abad716fc5 · outbound

This paper cites Discretetimequantumlattice systems.

The Dirac Vacuum in Discrete Spacetime Discretetimequantumlattice systems

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.791986Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.220695Z digest=sha256:0fd44fc759206a8a58cc6ce4d7694db2cd032f5f77aa806fca93d86dfaa6cdfe

Observation 3cf9e992-c45c-43c6-88e2-46d0875f35d7 · outbound

This paper cites Twisted quantum walks, generalised dirac equation and fermion doubling.

The Dirac Vacuum in Discrete Spacetime Twisted quantum walks, generalised dirac equation and fermion doubling

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.768005Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 339dfc33-91fa-4cb5-9c28-880e8ffd3515 · outbound

This paper cites An introduction to quan- tum field theory.

The Dirac Vacuum in Discrete Spacetime An introduction to quan- tum field theory

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.734341Z

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No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

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Observation 3bd7b346-e27c-4f6e-9d44-b4e2f1d014a8 · outbound

This paper cites Quantum cellular au- tomaton theory of light.

The Dirac Vacuum in Discrete Spacetime Quantum cellular au- tomaton theory of light

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.703272Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.234745Z digest=sha256:dbcc454122516240745e39655731d7aac38916a3c57b94ba06cae731e25ef2fd

Observation 8c2c2947-eb14-4c79-9a89-c46ed699ca71 · outbound

This paper cites A discrete relativis- tic spacetime formalism for 1+ 1-qed with continuum limits.

The Dirac Vacuum in Discrete Spacetime A discrete relativis- tic spacetime formalism for 1+ 1-qed with continuum limits

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.671973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.255554Z digest=sha256:dcbfd5fa51eecc79402d4d64a2c52d614173adc419e1fc0e6f4e048dbf7074b1

Observation 3d126ab8-bba4-426f-8943-f26e99c900b8 · outbound

This paper cites Confinement of quarks.

The Dirac Vacuum in Discrete Spacetime Confinement of quarks

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.644739Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.259617Z digest=sha256:e8a53aa475dbea990103b85a12f40ad7a82338f8aed9271f54ab514628d1a255

Observation 89ec506b-58b1-4a3a-a237-127419891c92 · outbound

This paper cites Hamil- tonian formulation of wilson’s lattice gauge theories.

The Dirac Vacuum in Discrete Spacetime Hamil- tonian formulation of wilson’s lattice gauge theories

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.586481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.262841Z digest=sha256:01cee93cac0bc59cf6e8659c666415db84ca16ee55a8ecb4afe459d9dbc1ac5e

Observation bcb65bc5-269e-4f02-a6ad-f005fbaa848b · outbound

This paper cites Strong-coupling calculations of lat- tice gauge theories:(1+ 1)-dimensional exer- cises.

The Dirac Vacuum in Discrete Spacetime Strong-coupling calculations of lat- tice gauge theories:(1+ 1)-dimensional exer- cises

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.574122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.266075Z digest=sha256:5087421934f78c54bd07b676a48a66827addcc76724cce6f846192d95dc84cf4

Observation 86712b67-16dd-45a6-9d81-7c7935eccab4 · outbound

This paper cites Quantum fields on a lattice.

The Dirac Vacuum in Discrete Spacetime Quantum fields on a lattice

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.553470Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.269304Z digest=sha256:9a2d24cb4bb2740fbeb9282247f27862419922e85507dc7e1997c63d35f5686c

Observation 752f9c39-adc7-4417-84a5-8946592a4f03 · outbound

This paper cites Lattice gauge theories: an introduction.

The Dirac Vacuum in Discrete Spacetime Lattice gauge theories: an introduction

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.541263Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.272464Z digest=sha256:8e16c4ee0afe30bd6b4eb3844c9e69ea830ed5758fa51c12d194fa15a048d654

Observation e704507e-b3e8-4f93-9ea2-826bafd04e44 · outbound

This paper cites The quantum field as a quantum computer.

The Dirac Vacuum in Discrete Spacetime The quantum field as a quantum computer

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.530177Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.275578Z digest=sha256:1cf5b79a91d31a0f9a7ce984006865cf636f42405e8ae80ad0fce7c54413bf91

Observation 954ab522-0d2b-4114-a52c-35844dce983a · outbound

This paper cites Physics as quan- tum information processing: quantum fields asquantumautomata.

The Dirac Vacuum in Discrete Spacetime Physics as quan- tum information processing: quantum fields asquantumautomata

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.519418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.278725Z digest=sha256:8473118680c4584ce937bf99bdec5e65c216206282b762fbccd4875d5a21219f

Observation b79e5503-3ca1-4806-b381-8363c62571e1 · outbound

This paper cites Causal fermions in discrete space-time.

The Dirac Vacuum in Discrete Spacetime Causal fermions in discrete space-time

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.507011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.281739Z digest=sha256:8603af6ff0114dc20e2c3cf556e2a3bcea0bd691d2d71edcd526880468778417

Observation ae690422-b159-437a-a82b-aa3ec2ae63a3 · outbound

This paper cites Quantum field as a quantum cellular automaton: The dirac free evolution in one dimension.

The Dirac Vacuum in Discrete Spacetime Quantum field as a quantum cellular automaton: The dirac free evolution in one dimension

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.492579Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.284841Z digest=sha256:eae4408651c6c4d9f513781adc3f2de49a1a3cee059c58eb10734f39eabf9c5a

Observation 2b5a3c3e-b78d-4f12-9b58-ae216521a93d · outbound

This paper cites Quantum cellular automata and quantum fieldtheoryintwospatialdimensions.

The Dirac Vacuum in Discrete Spacetime Quantum cellular automata and quantum fieldtheoryintwospatialdimensions

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.481402Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.288171Z digest=sha256:3e30da8652b952a0f540f2a2598fc6c8a0c6c337dd00327f80f52e3c89effd8b

Observation ba9ac727-ed1f-4d33-8800-69d1dca54377 · outbound

This paper cites Fermionic and bosonic quantum field theo- riesfromquantumcellularautomatainthree spatial dimensions.

The Dirac Vacuum in Discrete Spacetime Fermionic and bosonic quantum field theo- riesfromquantumcellularautomatainthree spatial dimensions

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.453234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.291288Z digest=sha256:ef653c77439e4e2418294320bdd0d075342e8a5b423c08a9ff648f1bbfb70849

Observation 720e0e7f-36af-44a5-8021-66624e844b09 · outbound

This paper cites Über das paulische äquivalenzverbot.

The Dirac Vacuum in Discrete Spacetime Über das paulische äquivalenzverbot

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T22:29:12.438868Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T22:29:12.302218Z digest=sha256:38767205c5c43666cde7417657d8823e422f7283cca8f58e8dec540fd964617d

Pith citing papers

No inbound Pith citation observations are available.