Pith. sign in

Paper Citation Record · LEDGER

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics

As of 16 August 2026, this Paper Citation Record lists 19 of 19 outbound references and 0 inbound Pith citation observations for arXiv:1908.09619.

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

pith.paper-citation-record.v1
1908.09619 v2

Coverage vector

measured 19 of 19 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T14:45:53.431112Z

measured 19 of 19 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

19 of 19 outbound references displayed

  • verified exact0
  • verified fuzzy13
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1f8b94b3-d393-4396-a452-d1e9b6fff81c · outbound

This paper cites an unresolved cited work.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:45:53.866585Z

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=2026-08-14T14:45:53.321089Z digest=sha256:c35057c2ceb7c32ca9c2382147db50f734d6b65dd4fb57c11008b2f7e83cbd70

Observation ce5edb8f-1ef2-4c5d-a43d-cbd0533c1d1f · outbound

This paper cites an unresolved cited work.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Unresolved cited work

Reference 2

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:45:53.844179Z

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=2026-08-14T14:45:53.327505Z digest=sha256:19af279a7792571c49eab99f882bc30d8edb71b8e5dcc2fbe726006ecae7c25a

Observation 725931e2-0a7f-42cf-80ff-6467053de57a · outbound

This paper cites Sinceψ (x) andψ †(x) do not act on the null A-mode state |∞np⟩, the null- A-mode field may in fact be written as an expectation value for the vacuum state |0⟩.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Sinceψ (x) andψ †(x) do not act on the null A-mode state |∞np⟩, the null- A-mode field may in fact be written as an expectation value for the vacuum state |0⟩

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.825160Z

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=2026-08-14T14:45:53.334579Z digest=sha256:19b54a90416b218a7f8476692dd4310f1a5a6eb2b859e76a3bb4dc157093fd6f

Observation 0f4aa022-51cc-4a67-a46e-b9d2cb8fe5c4 · outbound

This paper cites an unresolved cited work.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Unresolved cited work

Reference 4

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:45:53.615388Z

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=2026-08-14T14:45:53.393760Z digest=sha256:e4df1d943bb08301ef46c8f3c39c45dce64546e623faadd14813b8edb36f8f62

Observation 05b2c04e-8c6f-48df-92ce-02767de44070 · outbound

This paper cites Pauli, Phys.Rev.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Pauli, Phys.Rev

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.575128Z

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=2026-08-14T14:45:53.399978Z digest=sha256:2e0e44b175bbc7a89deac3e1af9c445932af5a708961f5e9b204e95d55568f1a

Observation fd51fbd7-97af-4d88-a537-76af11188a05 · outbound

This paper cites Streater and A.S.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Streater and A.S

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.554453Z

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=2026-08-14T14:45:53.408659Z digest=sha256:0849dea80a0ab030e8606378713762a118b4df880620f581b8b062bb855d9894

Observation 4cacc377-12bb-4ea5-89d9-6613cf537734 · outbound

This paper cites It is easy to see that these two expressions give different predictions under the local gauge transformation in Eq.( 25).

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics It is easy to see that these two expressions give different predictions under the local gauge transformation in Eq.( 25)

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.767895Z

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=2026-08-14T14:45:53.351422Z digest=sha256:538ff6f8348ed4105cd19247764caf4eaeac3d8a3af273c9165e27b4feb15166

Observation fb6a8756-455a-40e2-a0bd-8722dd3e5f81 · outbound

This paper cites Gupta, Proceedings of Physical Society A 63, 681 (1950).

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Gupta, Proceedings of Physical Society A 63, 681 (1950)

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.508994Z

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=2026-08-14T14:45:53.425951Z digest=sha256:ae75d123c7081c502893aa018a979afa4c2af2c6e0e617c48f90ab9593d534c1

Observation 4488bdf3-59d6-4fa3-833c-c2b3969dc6d8 · outbound

This paper cites Gu, Phys.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Gu, Phys

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.487386Z

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=2026-08-14T14:45:53.431112Z digest=sha256:9c2505e5cd83879fe5b4522c6dff6c30bddd89c0a511e2ade0be6ff2152dceba

Observation f98d4f86-6515-4528-a6a7-2987235b259e · outbound

This paper cites an unresolved cited work.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Unresolved cited work

Reference 10

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:45:53.709417Z

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=2026-08-14T14:45:53.368987Z digest=sha256:0d6e2e04a15be4e9c0b8717495ea80ee4c34683aeb9b7e7a5f0a99a93cf13d43

Observation dd7ebd1c-6e84-49ae-92c9-fa2767454336 · outbound

This paper cites Weinberg, The Quantum Theory of Fields (Cambridge University Press, Now York, 1996).

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Weinberg, The Quantum Theory of Fields (Cambridge University Press, Now York, 1996)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.685040Z

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=2026-08-14T14:45:53.376426Z digest=sha256:2173deee2689455bf1194d43b45519412ed4c884f6e5f0629e87310532d8de31

Observation 6be510a3-764d-4c58-bbc5-27b539c0ab12 · outbound

This paper cites Peskin and D.V.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Peskin and D.V

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.661703Z

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=2026-08-14T14:45:53.381512Z digest=sha256:463789dd330ce5a6831bc09cae0bb8f4199d78356b4f9b9aef5308052e7a88d1

Observation 785f4708-b602-494a-b56e-b6e3efb29526 · outbound

This paper cites Itzykson and J.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Itzykson and J

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.637713Z

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=2026-08-14T14:45:53.387701Z digest=sha256:25bfeaff0532d44c22f7835baddca10158e965b8de1a6af07d1f046321eaba9a

Observation ee49a6d9-3bcb-47c0-ae3a-9c7c33c731a9 · outbound

This paper cites In fact, the polar- ization vectors ελ µ (k) can not be defined for an A-mode with kµ = 0.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics In fact, the polar- ization vectors ελ µ (k) can not be defined for an A-mode with kµ = 0

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.893072Z

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=2026-08-14T14:45:53.314816Z digest=sha256:a7085c52254d91e03259f235173361bfccb673473f7ab0cbf2274b1638c42bd3

Observation e62b9848-a472-472c-a1a3-50d8c3e1ce58 · outbound

This paper cites (20) An operators P that satisfies Eq.( 18c) may be con- structed by a method used in Ref.[ 7], that is, P = ∑ λ ∫ d~ k|Akλ ⟩⟨Akλ |.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics (20) An operators P that satisfies Eq.( 18c) may be con- structed by a method used in Ref.[ 7], that is, P = ∑ λ ∫ d~ k|Akλ ⟩⟨Akλ |

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.913868Z

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=2026-08-14T14:45:53.306243Z digest=sha256:c5a529002aa286474c698c571feca1a3b220f709d6f758419556f37fce878fb8

Observation a60325cc-1339-49e9-a40f-6fe712ce04fa · outbound

This paper cites Wang, Phys.Rev.A 94, 012112 (2016).

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Wang, Phys.Rev.A 94, 012112 (2016)

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.532624Z

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=2026-08-14T14:45:53.415249Z digest=sha256:405c32a823f9a9784b477d48f024e9db1edf7655302a87b25972d7c85141b2ce

Observation 7c228da1-e6d8-4639-aefc-190ecb4352d4 · outbound

This paper cites an unresolved cited work.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:45:53.792381Z

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=2026-08-14T14:45:53.342524Z digest=sha256:9f492dfd156f3a044bbc8f14a8d4387e29125c650592e87cb77eab8126cfe0df

Observation 84fbd55d-64e6-440d-92fe-d70dfa7071ab · outbound

This paper cites Substituting Eq.(25) into Eq.( 39), straightforward derivation shows 8 that f (1) µ → ~f (1) µ =f (1) µ + 4m0i(∂µθ) ∫ d~p, (47a) f (2) µ → ~f (2) µ =f (2) µ + 4m0i(∂µθ) ∫ d~p.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Substituting Eq.(25) into Eq.( 39), straightforward derivation shows 8 that f (1) µ → ~f (1) µ =f (1) µ + 4m0i(∂µθ) ∫ d~p, (47a) f (2) µ → ~f (2) µ =f (2) µ + 4m0i(∂µθ) ∫ d~p

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-14T14:45:53.747348Z

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=2026-08-14T14:45:53.357899Z digest=sha256:6c831d081c085cc4967e543e949fbe8ac64307773d68aaedf936600d8101a63c

Observation de4746bf-e212-4ec4-a3c7-c1a5eb27f634 · outbound

This paper cites an unresolved cited work.

A quantum mechanism underlying the gauge symmetry in quantum electrodynamics Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-14T14:45:53.728815Z

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=2026-08-14T14:45:53.363225Z digest=sha256:0c4a13c5bbce2c16cf78655b66e57fdbfb7d1457e270a6a4859cbc937dda8930

Pith citing papers

No inbound Pith citation observations are available.