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Paper Citation Record · LEDGER

The Dirac Vacuum in Discrete Spacetime

As of 15 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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  • 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.

source=pdf_text observed=2026-08-11T22:29:12.138010Z digest=sha256:f0268357ed091d08c6daf5f3bfa9afdf397ebb1b91151f975df197ed4c9dd66a

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=sha256:51ccd020b6f0ebe330a707b3202b0bcdc8139905e6b358cb1271a01b6dcd5bb4

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

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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 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:a11ba1fe794b36664e720024390f3210f8011932bef15875be6d66889ef70de0

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
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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:f2793458b9713a2cff02aa4904f76a9b4509ef0b3fa4295faaf291f4ae8241ea

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.

source=pdf_text observed=2026-08-11T22:29:12.165347Z digest=sha256:109ac7565ecb46940b818f49501dffc82978e5656204ae88696fbec1fed95a4b

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
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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=sha256:13920885a7714637be14eeb21059e13ae9ba8f27ae194f4d1e8442143d7c3e24

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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raw_fallback, observed 2026-08-11T22:29:12.943594Z

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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:fb2329f0a5c5189f72ce1073f8380cb33ae34a157d7d0032ec547ba647043e47

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:a578ae94eb6765d59cec8791d49c9570fbaab92d368a95be67f71d42e7daccf7

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
verified fuzzy
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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=2026-08-11T22:29:12.204336Z digest=sha256:8f0176318e00488978662fece757c2690bdd809f248fc871fb434c9e737a96d6

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.

source=pdf_text observed=2026-08-11T22:29:12.207672Z digest=sha256:019febf6fa3eda11dee1ce93fb903d5894121938158d958006546d9453ddd810

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=sha256:97fd4213109c681f4d93fc2c430d6a731dd5deba9938bc85d6701bb68e299c99

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

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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=2026-08-11T22:29:12.214148Z digest=sha256:9c9cc89ef0038d15cbf12d8a90535276a363e9e6935a7b868b0d4bfa791e9a1f

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:c35ca559b71269db8e05d4a84e094b6fe9a93ff394fd6fa8ed6f2db71cd74d3e

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=sha256:04941b38262442b2283d3fc270354d514a317f52ba5bcd1d702c502d08ce86a9

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

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 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
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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.

source=pdf_text observed=2026-08-11T22:29:12.226743Z digest=sha256:20ea4f876a100217ef082ee1404d8564976a5858c6ba2a0ec135894c031368b2

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=sha256:3de886384df67e5e5885ceb5d1b8bb684266f761fbafb168e6db1524d10b9d41

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=sha256:5e236a5d0fb1e44508769c73450f909b55dd3471d1b111bbcbf0335917afed0a

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

This paper cites Confinement of quarks.

The Dirac Vacuum in Discrete Spacetime Confinement of quarks

Reference 25

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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=sha256:4c3096a5d7ef69516397c1bb222bd669e5dd7aca3f436adc8839e0b86e8b0883

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:e6d0a9400fd536dc6ec5716a33bbcd0538aa964d045f458c77db2fad88dd136e

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=sha256:01fb541acc21b68ac948f42a56a74fa9c46cd8061aca8d8d4e373e09631800da

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:f83627fd0422175d62075be63a0c9942b9cb29adba6a2473ee2c324d071e27da

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=sha256:7f32f65d15b9178cb0c708285c527572f288c78f57d41bde5b92393254d0c2d0

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:e10e331b41542b2b1a59b5455e6f4784537a93580b06d61d8f85148306e30bdd

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:a0b9c8f20d04f65556c79e5192021654d3a3093dea3f541dddd62d8240e186c8

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:f5e739205200e02afaefb91f496c8b3106feb308a15831fcc04af05ac06db913

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=sha256:20cdf14c7d985e9784e8c6ae006e86ff31ef4902cd2efc21a994ff4af7d38463

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=sha256:77a169cf1e07326a50bc0d4b0abc4d3d82e1a8555782afc19259530b83f471d6

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:ffe8f9d7efbc6b68ffc64b422bbde8dbdfb522666f78ffaa7302373c8a18cf59

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=sha256:7e225b1aff987d7810fe73dc83f3fbef7c1500e9ac95a1cc7d2d2c73eb8055b9

Pith citing papers

No inbound Pith citation observations are available.