Paper Citation Record · LEDGER

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay

As of 12 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 1 inbound Pith citation observation for arXiv:2501.11080.

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

pith.paper-citation-record.v1
2501.11080 v1

Coverage vector

measured 40 of 40 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:47:13.565592Z

measured 41 of 41 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-14T08:23:53.223795Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

40 of 40 outbound references displayed

verified exact6
verified fuzzy14
unresolved19
parse uncertain0
malformed identifier0
metadata mismatch1

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation a6719bf3-e316-412b-919d-b60c5b0cefe9 · outbound

This paper cites 7 × (102 − 1018) seconds.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay 7 × (102 − 1018) seconds

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.920299Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 91155c2b-1107-45c0-b1fb-05235dbe3946 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.767836Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c3020c00-1720-41e0-863b-a0461e794d0a · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.743930Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 84aea709-83bd-4104-8e47-c03c1fcec1a3 · outbound

This paper cites As a noncomprehesive list of references we mention [29–36], and references therein.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay As a noncomprehesive list of references we mention [29–36], and references therein

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.721864Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1230ed7f-ac23-47fa-9ecd-84aa9a9d6563 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.698904Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation eafd9054-df52-452f-8090-d1ed1df4bce7 · outbound

This paper cites Schwinger, On gauge invariance and vacuum polarizati on.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Schwinger, On gauge invariance and vacuum polarizati on

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.676056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 08f2814b-c136-4d7d-9dbc-a5e1c105faad · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.652056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e08972d4-8e3f-4575-9f6e-6f538c8f324c · outbound

This paper cites Heisenberg and H.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Heisenberg and H

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.631179Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 34039c9a-8376-4b00-b5bf-7daf2f2a0158 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.608593Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 329dd0e8-10d4-4595-b7a4-cf4a5317e508 · outbound

This paper cites Bialynicki-Birula and I.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Bialynicki-Birula and I

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.585580Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a9cb6d9f-ca6b-452d-8866-84436efb3574 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.562068Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1eae40f5-09ec-44cd-be8f-fbdffd1a7c50 · outbound

This paper cites Dittrich and H.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Dittrich and H

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.542631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1e036570-a3b6-4ea4-846d-2b529d9e24e3 · outbound

This paper cites Demozzi, V.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Demozzi, V

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.522812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9ec13332-6464-4d6d-a6f3-3f2404862104 · outbound

This paper cites Quantum Magnetic Collapse.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Quantum Magnetic Collapse

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:47:14.202278Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 852d4b81-0468-4a01-bdad-341923e715e4 · outbound

This paper cites Erber, Photon pair creation in intense magnetic ﬁelds.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Erber, Photon pair creation in intense magnetic ﬁelds

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.505313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e6f1afbd-cb1c-45cf-9f5c-a04048e8984a · outbound

This paper cites Erber, Propagation of photons in homog eneous magnetic ﬁelds: Index of refraction.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Erber, Propagation of photons in homog eneous magnetic ﬁelds: Index of refraction

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.487659Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d6c33ea8-c70f-4882-acdb-57b7cd56ed59 · outbound

This paper cites The photon polarization tensor in a homogeneous magnetic or electric field.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay The photon polarization tensor in a homogeneous magnetic or electric field

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:47:14.160506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 51ebd6a3-7716-4250-a7c4-7c421551ef4d · outbound

This paper cites Vacuum birefringence at the Gamma Factory.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Vacuum birefringence at the Gamma Factory

Reference 18

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:47:14.118799Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 245da57c-86b2-4f9a-b4a8-766defa79f3d · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.469323Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b6a34a72-a296-49a1-9b0d-821d440afbb2 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.444852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5cb85aad-52d4-4654-85c8-331190aefe82 · outbound

This paper cites An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay An all-loop result for the strong magnetic field limit of the Heisenberg-Euler effective Lagrangian

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.438530Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation db383821-a17b-4ced-8904-37bcbe673a70 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.420859Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4348383c-b8b5-49bb-89cd-16270ef4aa4a · outbound

This paper cites Can the gamma-ray bursts travelling through the interstellar space be explained without invoking the drastic assumption of Lorentz invariance violation?.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Can the gamma-ray bursts travelling through the interstellar space be explained without invoking the drastic assumption of Lorentz invariance violation?

Reference 23

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:47:14.019123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6a011d5d-228c-4f23-a697-a4179e9bbc41 · outbound

This paper cites Brevik, M.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Brevik, M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.402198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 63a0dc36-73d8-433e-a129-3cfc9a4d97e7 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.382187Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e3819807-2ce8-47bc-a1f9-5fc551d7a75b · outbound

This paper cites Sikivie, Invisible axion search methods, Rev.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Sikivie, Invisible axion search methods, Rev

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.357602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 8e281cae-81ff-4773-937a-5febdd869ac3 · outbound

This paper cites Noordhuis, A.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Noordhuis, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.328788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 565e7441-1e39-485e-ae0d-f04afd155c64 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.299837Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d88423eb-6870-45f0-9bc3-c006b352eb08 · outbound

This paper cites Lee, Cherenkov radiation in a strong magnetic ﬁel d.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Lee, Cherenkov radiation in a strong magnetic ﬁel d

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.275241Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 28aa2378-5399-4803-be7d-6edb454b2e88 · outbound

This paper cites Erber, High-energy electromagnetic conversion pro cesses in intense magnetic ﬁelds.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Erber, High-energy electromagnetic conversion pro cesses in intense magnetic ﬁelds

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:47:14.254720Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 543a5a95-a407-47f2-a3f2-e7d78dc29127 · outbound

This paper cites Stacked search for time shifted high energy neutrinos from gamma ray bursts with the ANTARES neutrino telescope.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Stacked search for time shifted high energy neutrinos from gamma ray bursts with the ANTARES neutrino telescope

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.494918Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0e9f399c-61f5-44e2-b070-28c8418a69a1 · outbound

This paper cites Measurement of light-by-light scattering and search for axion-like particles with 2.2 nb$^{-1}$ of Pb+Pb data with the ATLAS detector.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Measurement of light-by-light scattering and search for axion-like particles with 2.2 nb$^{-1}$ of Pb+Pb data with the ATLAS detector

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.502309Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 45b61b3f-63bf-4d4b-9b9a-0dfd60a9e19d · outbound

This paper cites Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.508719Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 05ca8c9c-4301-46f2-aec4-c0162b8e35c5 · outbound

This paper cites Astrophysical Probes of the Constancy of the Velocity of Light.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Astrophysical Probes of the Constancy of the Velocity of Light

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:47:13.877666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 27b546cc-ccbb-4389-9b6f-ac041ae1a9a4 · outbound

This paper cites GRBs Neutrinos as a Tool to Explore Quantum Gravity induced Lorentz Violation.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay GRBs Neutrinos as a Tool to Explore Quantum Gravity induced Lorentz Violation

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.524684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 914887c7-adf3-4b44-982b-a0375b4a1fd5 · outbound

This paper cites an unresolved cited work.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:47:14.230536Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 9b611e2a-fcfb-43a8-9884-98f38d5c4f73 · outbound

This paper cites Constraining Lorentz violations with Gamma Ray Bursts.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Constraining Lorentz violations with Gamma Ray Bursts

Reference 37

Resolution: metadata mismatch; local_arxiv, observed 2026-08-10T18:47:13.807817Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a58b0535-0eb8-4f77-80fd-87e686c521c0 · outbound

This paper cites Energy-dependent intrinsic time delay of gamma-ray bursts on testing Lorentz invariance violation.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Energy-dependent intrinsic time delay of gamma-ray bursts on testing Lorentz invariance violation

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:47:13.766712Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ef783f14-6a80-473c-9561-66f752874c74 · outbound

This paper cites Lorentz Invariance Violation Limits from GRB 221009A.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Lorentz Invariance Violation Limits from GRB 221009A

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.559820Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 825cdf30-01e8-40d0-ad13-e6bb2b6b43a6 · outbound

This paper cites Cao et al.

Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay Cao et al

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-10T18:47:13.565592Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation b92a8479-b172-48a2-a580-ca98af9c0162 · inbound

The Euler-Heisenberg action for a $U(1)\times U(1)$ dyon quantum electrodynamics cites this paper.

The Euler-Heisenberg action for a $U(1)\times U(1)$ dyon quantum electrodynamics Below the Schwinger critical magnetic field value, quantum vacuum and gamma-ray bursts delay

Reference 65

Resolution: unresolved; no resolver link, observed 2026-07-14T08:23:53.223795Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.