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Paper Citation Record · LEDGER

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect

As of 11 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2412.17514.

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

pith.paper-citation-record.v1
2412.17514 v1

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T05:34:40.832307Z

measured 68 of 68 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-05T14:39:15.313630Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-05T14:39:26.257906Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact21
  • verified fuzzy9
  • unresolved37
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 1a600118-e114-4517-8718-66543d671da4 · outbound

This paper cites Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review

Reference 1

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Observation 4f2ad64f-29ca-4eea-a985-8b3f21cf77a1 · outbound

This paper cites First, one immediately sees that x = 0 is the only real solution if the radicand is negative, i.e.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect First, one immediately sees that x = 0 is the only real solution if the radicand is negative, i.e

Reference 2

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raw_fallback, observed 2026-08-11T05:34:42.256983Z

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Observation 1461c6ff-056a-468a-b30d-a328bd56bae0 · outbound

This paper cites As a consequence, it follows that, for a negative radicand, we retrieve the full interval (0; 1) for χe 2 > 0, while for χe 2 < 0 VC is not possible.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect As a consequence, it follows that, for a negative radicand, we retrieve the full interval (0; 1) for χe 2 > 0, while for χe 2 < 0 VC is not possible

Reference 3

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Observation 7220c80d-94d1-4f6a-b363-af8f04eb271a · outbound

This paper cites (12) The graphical representation of all these conditions is shown in Fig.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect (12) The graphical representation of all these conditions is shown in Fig

Reference 4

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raw_fallback, observed 2026-08-11T05:34:42.230968Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 018afc87-3128-4b29-bdbb-0fe50fe77b65 · outbound

This paper cites an unresolved cited work.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Unresolved cited work

Reference 5

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raw_fallback, observed 2026-08-11T05:34:42.217691Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 74877a64-3fa8-49bc-ae94-b135251f615c · outbound

This paper cites an unresolved cited work.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Unresolved cited work

Reference 6

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raw_fallback, observed 2026-08-11T05:34:42.205779Z

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Observation 0d1e9c98-86d1-4e23-9b29-a884c3554f56 · outbound

This paper cites (14) The constraints on the threshold momentum in the χe 2– χγ 2 parameter space are shown in Fig.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect (14) The constraints on the threshold momentum in the χe 2– χγ 2 parameter space are shown in Fig

Reference 7

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Observation 9cab4060-191b-4271-94d4-187a4b79fe1d · outbound

This paper cites The possible values of Γ VC for all the different parameter combinations are shown in Fig.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect The possible values of Γ VC for all the different parameter combinations are shown in Fig

Reference 8

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Observation 33edf145-4c77-4b25-82ae-e4592de3079a · outbound

This paper cites This behavior may again be explained by analyzing the corresponding plots in Fig.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect This behavior may again be explained by analyzing the corresponding plots in Fig

Reference 9

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Observation 5cb3ae57-e9a8-426e-a355-7070578b7bb6 · outbound

This paper cites Lorentz invariance and quantum gravity: an additional fine-tuning problem?.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Lorentz invariance and quantum gravity: an additional fine-tuning problem?

Reference 10

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Observation 92b8f113-d597-4b6b-92c1-1872d7815ab9 · outbound

This paper cites Quantum Gravity and Lorentz invariance violation in the Standard Model.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Quantum Gravity and Lorentz invariance violation in the Standard Model

Reference 11

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local_arxiv, observed 2026-08-11T05:34:42.068704Z

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Observation b49afbb9-23cd-417e-ad1c-e0994d918def · outbound

This paper cites Jacobson, S.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Jacobson, S

Reference 12

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Observation a00a5f20-75c2-4054-bbdf-8d995c702c9f · outbound

This paper cites Quantum gravity without Lorentz invariance.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Quantum gravity without Lorentz invariance

Reference 13

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Observation b5f70944-45da-410b-b77a-1aac5c2f726c · outbound

This paper cites Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Higher-order Lorentz-invariance violation, quantum gravity and fine-tuning

Reference 14

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local_arxiv, observed 2026-08-11T05:34:41.967154Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

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Observation 004657c7-2366-4e5c-b737-eeb592ec6345 · outbound

This paper cites CPT Violation Implies Violation of Lorentz Invariance.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect CPT Violation Implies Violation of Lorentz Invariance

Reference 15

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Observation d4786607-9a3d-4df3-9de8-7b51af0d1b37 · outbound

This paper cites Lorentz-Violating Extension of the Standard Model.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Lorentz-Violating Extension of the Standard Model

Reference 16

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Observation 8335b31d-c8a3-4f64-9a3f-630d04fe397c · outbound

This paper cites Gauge field theories with Lorentz-violating operators of arbitrary dimension.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Gauge field theories with Lorentz-violating operators of arbitrary dimension

Reference 17

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Observation 77cb8166-ba89-411d-aa22-1adebb73c825 · outbound

This paper cites Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Lorentz Invariance Violation and Chemical Composition of Ultra High Energy Cosmic Rays

Reference 18

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local_arxiv, observed 2026-08-11T05:34:41.919573Z

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Observation 4d4e85a7-e556-454f-955e-5667baf31b9e · outbound

This paper cites Modern tests of Lorentz invariance.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Modern tests of Lorentz invariance

Reference 19

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source=pdf_text observed=2026-08-11T05:34:40.639924Z digest=sha256:c08a7657aa37e4108e15c4fb6c00408a8fcda9a7f10a8848d343a5060e4a1361

Observation c7d8006e-8785-4215-86bd-133a7386dbf5 · outbound

This paper cites Lorentz Violation and Ultrahigh-Energy Photons.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Lorentz Violation and Ultrahigh-Energy Photons

Reference 20

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no resolver link, observed 2026-08-11T05:34:40.644416Z

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source=pdf_text observed=2026-08-11T05:34:40.644416Z digest=sha256:e46acb3eb6b8eba1ac012cb914016100d0ab1eae5aeb5bd75d85ee26bd354b48

Observation 9b74b6ab-d847-4e4a-802b-5638179427d6 · outbound

This paper cites Mart ´ ınez-Huerta, R.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Mart ´ ınez-Huerta, R

Reference 21

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.648880Z digest=sha256:f2169f50b3ab64ad74c6fc8475ad6d6e03b55b8494f210f0290b22eb38c9aba4

Observation cdffc2e1-b92b-4f1d-a001-8f1ad950067a · outbound

This paper cites Cosmic Rays and the Search for a Lorentz Invariance Violation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Cosmic Rays and the Search for a Lorentz Invariance Violation

Reference 22

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local_arxiv, observed 2026-08-11T05:34:41.883371Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.652989Z digest=sha256:09efa7f7ae9be265e7df9a259f440be887cf37b82fac3d79a7651cedad47580d

Observation 2a963bfc-b5f0-4b23-85e7-ee370a7aec8c · outbound

This paper cites Restrictions from Lorentz invariance violation on cosmic ray propagation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Restrictions from Lorentz invariance violation on cosmic ray propagation

Reference 23

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source=pdf_text observed=2026-08-11T05:34:40.657180Z digest=sha256:cee1bb11653b333a8c1f7dcf620d4c25d5b5582dfbe9ba981aa6f4844a518e0e

Observation e4bb1a51-d653-4748-86c8-b6cef5bd5954 · outbound

This paper cites Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155-304 flare data taken on MJD 53944.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Search for Lorentz Invariance breaking with a likelihood fit of the PKS 2155-304 flare data taken on MJD 53944

Reference 24

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no resolver link, observed 2026-08-11T05:34:40.661308Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T05:34:40.661308Z digest=sha256:7714720609522b3c220c3961cf3dd8942c8d35a9685cd6881f3cbb0d1830606f

Observation 91e671d2-8ecf-4795-bc97-55afb8864597 · outbound

This paper cites The 2014 TeV Gamma-ray Flare of Mrk 501 Seen with H.E.S.S.: Temporal and Spectral Constraints on Lorentz Invariance Violation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect The 2014 TeV Gamma-ray Flare of Mrk 501 Seen with H.E.S.S.: Temporal and Spectral Constraints on Lorentz Invariance Violation

Reference 25

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local_arxiv, observed 2026-08-11T05:34:41.847219Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.665488Z digest=sha256:4739f1127c04fc598e85a1fa6ce9e25eb0d5ba714273566b6dfe1c501a9db2f1

Observation 1e7de73d-2a43-4bf0-86f1-ccf2fa83454a · outbound

This paper cites Separating source-intrinsic and Lorentz invariance violation induced delays in the very high energy emission of blazar flares.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Separating source-intrinsic and Lorentz invariance violation induced delays in the very high energy emission of blazar flares

Reference 26

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local_arxiv, observed 2026-08-11T05:34:41.828937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.669474Z digest=sha256:9898bbb7059a8f2569bda48f1009eb815983c8e45ee13867715e6568e81089f2

Observation 54a4c08a-e9b4-4f8c-a15f-9d74c0691225 · outbound

This paper cites Abe et al.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Abe et al

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.673443Z digest=sha256:d2407107036ce88250a34fc0378b2b91a0193655c34f7ee10a0fc749298c6dc0

Observation 7f0795fa-afd9-4dfd-9d46-98c5bab55ad5 · outbound

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

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Potential Sensitivity of Gamma-Ray Burster Observations to Wave Dispersion in Vacuo

Reference 28

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source=pdf_text observed=2026-08-11T05:34:40.677157Z digest=sha256:cff3f599da5b3ac480a3b43d164d656fc85981d0cd985a308c1031f5659e8ab4

Observation 92625b85-88da-45df-b91c-65c116ea2ee7 · outbound

This paper cites an unresolved cited work.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Unresolved cited work

Reference 29

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raw_fallback, observed 2026-08-11T05:34:41.732741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.681082Z digest=sha256:8aa4c7736b396a8e8074ca02085f1d4faad91909bbf8b0f4a760faf46afd3a57

Observation 992ca2be-2528-4bbc-9e8c-7fcd94a47a4d · outbound

This paper cites Lorentz Invariance Violation Limits from the Spectral Lag Transition of GRB~190114C.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Lorentz Invariance Violation Limits from the Spectral Lag Transition of GRB~190114C

Reference 30

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local_arxiv, observed 2026-08-11T05:34:41.657275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.684589Z digest=sha256:2f9a47e299977bfa3737f91bb268e9406f82c127e343d18f14ef8dfc6080f6a2

Observation 612069eb-cbaf-4aa2-b047-6254d9a2f541 · outbound

This paper cites Possible Evidence for Lorentz Invariance Violation in Gamma-ray Burst 221009A.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Possible Evidence for Lorentz Invariance Violation in Gamma-ray Burst 221009A

Reference 31

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unresolved
no resolver link, observed 2026-08-11T05:34:40.688807Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.688807Z digest=sha256:0c9b2c29ade7ea5358420becc5b56e1a789458072e24532aaef5f11997252be6

Observation b4cd5ec8-8a11-48b7-82fa-02b75b635b1c · outbound

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

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Lorentz Invariance Violation Limits from GRB 221009A

Reference 32

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unresolved
no resolver link, observed 2026-08-11T05:34:40.692818Z

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source=pdf_text observed=2026-08-11T05:34:40.692818Z digest=sha256:8a2e78eeb1505dd7ab8ebde3e1d3c8cf6d94f37419558a59300dc288e9469d55

Observation 99ef7b42-c133-4849-bb8a-67cb8dfefef7 · outbound

This paper cites Cao et al.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Cao et al

Reference 33

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no resolver link, observed 2026-08-11T05:34:40.697235Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T05:34:40.697235Z digest=sha256:57a11591b4f59ab97cbbe489d9d9f6df2ea3f8e9e0a3366f84cb72367d3acfe5

Observation 29e2b707-4398-4f92-a794-70d19051ca78 · outbound

This paper cites Liao, Y.-C.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Liao, Y.-C

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:34:42.143036Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.700923Z digest=sha256:f9078979abe2419129b490312bdd0b82bf09910a1518eba8f3ce861ff518a44a

Observation 61df7d66-0d35-4972-963a-6cc1062b16de · outbound

This paper cites New constraints on Lorentz Invariance violation from Crab Nebula spectrum beyond $100$ TeV.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect New constraints on Lorentz Invariance violation from Crab Nebula spectrum beyond $100$ TeV

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.704747Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.704747Z digest=sha256:135f6807b56b9bd3c3ff42931b7ea9bc9f12981f374bc6a453b9f49ec05e32dc

Observation d77f08f3-74bd-472c-9e8c-168f001471e2 · outbound

This paper cites Photon splitting constraint on Lorentz Invariance Violation from Crab Nebula spectrum.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Photon splitting constraint on Lorentz Invariance Violation from Crab Nebula spectrum

Reference 36

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:41.516002Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.708800Z digest=sha256:664ba713a91a55dcd447eb26110633f54d7ab86d0c918a4698bc26593fa100b0

Observation b07889f4-6597-4088-b7d3-b60f56d7821b · outbound

This paper cites Constraints on Lorentz invariance violation from HAWC observations of gamma rays above 100 TeV.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Constraints on Lorentz invariance violation from HAWC observations of gamma rays above 100 TeV

Reference 37

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:41.497640Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.712736Z digest=sha256:054f54a0e783e899481c39a6b35f8a2d0daeca187caf0ca8b3dd9a6131e9ed47

Observation b53f8f70-afb2-4bfa-a468-0dfcd1a6a506 · outbound

This paper cites Cao et al.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Cao et al

Reference 38

Resolution
verified exact
raw_fallback, observed 2026-08-11T05:34:41.477598Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.716719Z digest=sha256:01db490440949b257f58a7e75be880d58555187ce5852902f71f9093c0e58bba

Observation 4a89300e-3e7c-4e42-8945-75a2cb6fb055 · outbound

This paper cites Improved limits on Lorentz invariance violation from astrophysical gamma-ray sources.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Improved limits on Lorentz invariance violation from astrophysical gamma-ray sources

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.720323Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.720323Z digest=sha256:31db4410c824e72f62b9a75aea429cc0b3c5921b9d8d09ccf649013589aad2f6

Observation 50ea9baf-01ab-4ceb-9eb5-91b924be8343 · outbound

This paper cites Probing Quantum Gravity with Imaging Atmospheric Cherenkov Telescopes.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Probing Quantum Gravity with Imaging Atmospheric Cherenkov Telescopes

Reference 40

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:41.260651Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.724234Z digest=sha256:d69f926818890164b3bb92c315d74cd255a2a0fa8f33b2ce3666be5f83d9886c

Observation d821462c-cfbe-4d10-a810-56c29a2bd46b · outbound

This paper cites Astrophysical and Cosmological Searches for Lorentz Invariance Violation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Astrophysical and Cosmological Searches for Lorentz Invariance Violation

Reference 41

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:41.242346Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.728471Z digest=sha256:89b35614a1b5f9cb66d723f66d8b35d07fbb588b8aa059929eb82f8342981b20

Observation 5c159730-1b05-41f8-b57a-8298b33845da · outbound

This paper cites Constraints on violation of Lorentz invariance from atmospheric showers initiated by multi-TeV photons.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Constraints on violation of Lorentz invariance from atmospheric showers initiated by multi-TeV photons

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.732261Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.732261Z digest=sha256:14c2638f74d77e556bbef21e6b2e326b3cf970135c5c61709383b87779e107be

Observation 25f8bffb-0833-43a8-9754-80d9846cafc9 · outbound

This paper cites Improved bound on isotropic Lorentz violation in the photon sector from extensive air showers.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Improved bound on isotropic Lorentz violation in the photon sector from extensive air showers

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.736163Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.736163Z digest=sha256:6002d48fb1c469d0fe71fa657813ac0bc2968ca2654e2988ed3a78561c512d2f

Observation 4fa82806-a1d9-4f18-8f4d-3280d077efa9 · outbound

This paper cites an unresolved cited work.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:34:42.129250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.739978Z digest=sha256:83d5847118bd91ddc0e825f3c343c39508de602be9ba9504618d981537421a00

Observation 52554af0-a617-4b67-b7f9-4724bacfe865 · outbound

This paper cites A new bound on Lorentz violation based on the absence of vacuum Cherenkov radiation in ultra-high energy air showers.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect A new bound on Lorentz violation based on the absence of vacuum Cherenkov radiation in ultra-high energy air showers

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.743334Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.743334Z digest=sha256:3cdf198f779cea8af0d0d42886052fb9f034d4532ed7b10b5c84a391f79ed2a2

Observation 6f392b66-534a-4d84-83c9-170e5d44ce57 · outbound

This paper cites Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Vacuum Cherenkov radiation and photon triple-splitting in a Lorentz-noninvariant extension of quantum electrodynamics

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.747119Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.747119Z digest=sha256:f5c4e33bafc180c30ea5941013d17a051c4e6743fe5256e77fb6e165a5f46483

Observation 838ad928-5859-4da7-832a-1adf1051f61a · outbound

This paper cites Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz Violation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Vacuum Cherenkov Radiation In Quantum Electrodynamics With High-Energy Lorentz Violation

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.751550Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.751550Z digest=sha256:497f60d4504b8f804ea99659df5fe92d193bb060408e7f4ac45736055c9260bc

Observation c045c2d9-55de-4ce2-8315-b4b97fbda978 · outbound

This paper cites Vacuum Cherenkov radiation for Lorentz-violating fermions.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Vacuum Cherenkov radiation for Lorentz-violating fermions

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.755452Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.755452Z digest=sha256:efadf32ffda2e941eccecc1283b69c08aae000b140d341d33c2de1742edf00bf

Observation 2794a531-b7c0-4b44-af16-b98f8c902143 · outbound

This paper cites On calculation of cross sections in Lorentz violating theories.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect On calculation of cross sections in Lorentz violating theories

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.759451Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.759451Z digest=sha256:56a3fd61600d52f9e6a2916eade88a4cf577831732e6eecb1c608eea53c5c33b

Observation 0258a0e3-b0e3-4d44-af4f-7a2fe0990b45 · outbound

This paper cites Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Threshold effects and Planck scale Lorentz violation: combined constraints from high energy astrophysics

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.763435Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.763435Z digest=sha256:204f8d06ee3feed271291f92ba4f50ada4214164fe1747e14219e52b7f34ff7b

Observation 95922803-fe6f-4bee-a40a-98a4812b4f73 · outbound

This paper cites The Gamma-Ray Window to Intergalactic Magnetism.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect The Gamma-Ray Window to Intergalactic Magnetism

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.767785Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.767785Z digest=sha256:110bbdff58a3bc9007a3f255ff2e42f104a7eba659be659b37755668185bca62

Observation 5b33a236-996e-413f-ab5d-108376b9a6b6 · outbound

This paper cites Altschul, Lorentz Violation and Synchrotron Ra- diation, Phys.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Altschul, Lorentz Violation and Synchrotron Ra- diation, Phys

Reference 52

Resolution
verified exact
raw_fallback, observed 2026-08-11T05:34:41.125198Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.771938Z digest=sha256:3ee77aa7f139db1b9ce2a0fddd6ef249c6e7506994d9a69486e9f9137faeb5ff

Observation 4d168fa9-cad1-4808-9542-0b5e7fb19650 · outbound

This paper cites Synchrotron radiation in Myers-Pospelov effective electrodynamics.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Synchrotron radiation in Myers-Pospelov effective electrodynamics

Reference 53

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:41.040614Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.775472Z digest=sha256:e819ca310d3462e4303c124aa8381f71aa1b75c4f7b59c1210a3ed2049b3fc83

Observation 0fb0ee9a-2ed9-4a74-b90d-e557e39206df · outbound

This paper cites Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Limits on Lorentz Violation from Synchrotron and Inverse Compton Sources

Reference 54

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:41.022901Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.779387Z digest=sha256:5c4377c480244b9fe7f5632e5025f7c0d67291821468bfda74949b9ac12f5e3b

Observation d385765d-8949-4dc0-bdb0-6ce89716e8d8 · outbound

This paper cites an unresolved cited work.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Unresolved cited work

Reference 55

Resolution
unresolved
raw_fallback, observed 2026-08-11T05:34:42.115145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.783198Z digest=sha256:bd2bb5a75812b82fe530212d77ebd9a25eb4d4a3ac73bdf41d40a1995eba1c3c

Observation 2343a917-2045-4d49-b39e-ed36a2686831 · outbound

This paper cites Relative locality and the soccer ball problem.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Relative locality and the soccer ball problem

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.786925Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.786925Z digest=sha256:d470fb731ca2fae979dfe18eb8e968725087dcb310bed8fb80a3e5b73f16cbaf

Observation be379fdc-3147-448d-a33a-ff36910a7586 · outbound

This paper cites Comment on arXiv:1104.2019, "Relative locality and the soccer ball problem," by Amelino-Camelia et al.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Comment on arXiv:1104.2019, "Relative locality and the soccer ball problem," by Amelino-Camelia et al

Reference 57

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:40.993520Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.791432Z digest=sha256:88d09ba2c8ae590fcd006103753f51931b8d574ccd4cffcf1a9040b9b8f2be9e

Observation 4f72692f-5c77-4cd7-b527-34a6015e4112 · outbound

This paper cites Noisy soccer balls.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Noisy soccer balls

Reference 58

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:40.975361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.795357Z digest=sha256:656c3deb50276f5397c02a5faa746fdf3ae7b71f0387115d78274b14c405be2c

Observation bcb98e22-b3fb-4d98-b4a3-b5c25968975f · outbound

This paper cites The Soccer-Ball Problem.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect The Soccer-Ball Problem

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.799200Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.799200Z digest=sha256:6cb02d91790ba9e4e057ee7b61c519f96234f969396a9880946ce1ed4a864e19

Observation d3e37c41-bf5e-43a3-a211-a2033857ff78 · outbound

This paper cites Amelino-Camelia, Planck-Scale Soccer-Ball Problem: A Case of Mistaken Identity, Entropy 19, 400 (2017).

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Amelino-Camelia, Planck-Scale Soccer-Ball Problem: A Case of Mistaken Identity, Entropy 19, 400 (2017)

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T05:34:42.103006Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.803340Z digest=sha256:e712bf294830e13ed28574c16222bdb53471c98ae0dd486bbda36e17218edd46

Observation 8450d6e4-6aed-4407-b3b5-96bcc6c0eae8 · outbound

This paper cites On Quantum Gravity Tests with Composite Particles.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect On Quantum Gravity Tests with Composite Particles

Reference 61

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:40.944920Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.806867Z digest=sha256:6ac376407b3f6df9d2225057f7e21db832f24c57bd3300d2565b67f7d39c461d

Observation ddee03b8-3b77-4c08-b4de-71c9176f43eb · outbound

This paper cites White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect White Paper and Roadmap for Quantum Gravity Phenomenology in the Multi-Messenger Era

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.811055Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.811055Z digest=sha256:785808df65d9382d979d36b9355310f0a5c42092b38eb2e3289d881fb4217125

Observation 5172d084-2291-443e-adc0-157461891b51 · outbound

This paper cites Simulating Electromagnetic Cascades with Lorentz Invariance Violation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Simulating Electromagnetic Cascades with Lorentz Invariance Violation

Reference 63

Resolution
verified exact
local_arxiv, observed 2026-08-11T05:34:40.916414Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T05:34:40.815351Z digest=sha256:5e5e2b3f000cb341ea2b198b8890083e33cb7ebe028df45d70052e7165bc84e2

Observation 90632b65-c98e-47be-810d-6dc0b5c53e4a · outbound

This paper cites Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.819245Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.819245Z digest=sha256:a0f203e923da80d9aa8ea9f255b5b51de9f20c01d4dc33060e53a4263ea8ee86

Observation 91a35718-0c47-448a-8934-3b7d80bdee33 · outbound

This paper cites Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect Phenomenological Effects of CPT and Lorentz Invariance Violation in Particle and Astroparticle Physics

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.823667Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.823667Z digest=sha256:5fab86a639ba596c38a5ef67b3b6e21f518dc022e2a6ff56582c57d32de19a81

Observation 92f4e21f-619f-496e-8aef-5c48d9ef6835 · outbound

This paper cites CRPropa 3 - a Public Astrophysical Simulation Framework for Propagating Extraterrestrial Ultra-High Energy Particles.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect CRPropa 3 - a Public Astrophysical Simulation Framework for Propagating Extraterrestrial Ultra-High Energy Particles

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.828175Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.828175Z digest=sha256:0ea3c12015e4d352d8140c764c936f2b029cd0eed28e0a064467c4802322f484

Observation 0e2c70d1-8270-472d-8663-6d1bda958e29 · outbound

This paper cites CRPropa 3.2 -- an advanced framework for high-energy particle propagation in extragalactic and galactic spaces.

Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect CRPropa 3.2 -- an advanced framework for high-energy particle propagation in extragalactic and galactic spaces

Reference 67

Resolution
unresolved
no resolver link, observed 2026-08-11T05:34:40.832307Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.832307Z digest=sha256:4e1a5fc4e6fbc69c964ccd2bd127011201efe71b6dba07b4a035700eaca04ecf

Pith citing papers

Observation b90a251a-64f5-4239-8524-a9f09f4addb3 · inbound

Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation cites this paper.

Vacuum Cherenkov radiation for nonminimal dimension-5 Lorentz violation Spectra for Reactions in Astrophysical Electromagnetic Cascades with Lorentz Invariance Violation: The Vacuum Cherenkov Effect

Reference 65

Resolution
verified exact
local_arxiv, observed 2026-08-05T14:39:26.348613Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-05T14:39:15.313630Z digest=sha256:c59af5df40ef80526da840ea967937548bada5342967624c9db7bda7855f744b