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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 14 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 2026-08-14T06:32:32.682623+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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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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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

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=2026-08-11T05:34:40.556536Z digest=sha256:59a7a1b4b1afb562db2bb547e850245efeacb3b9e3c2c3b8603240b575026a3a

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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raw_fallback, observed 2026-08-11T05:34:42.243343Z

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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 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

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=2026-08-11T05:34:40.565668Z digest=sha256:3e12e95f21c3b68bf08d951dfacbd97fc8c3dbe2ed4c96c803888fbd61cacd30

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 2026-08-14T06:32:32.682623+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

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=2026-08-11T05:34:40.574322Z digest=sha256:96663c61c373bdccd40f48bcc74d9a2d50e3a4275f71e7533f88010eab135e0e

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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raw_fallback, observed 2026-08-11T05:34:42.194097Z

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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=2026-08-11T05:34:40.578406Z digest=sha256:661c96c14559c297cf7062db181d42a2de320d95baf79d13b053b3666b4a479d

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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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=2026-08-11T05:34:40.582918Z digest=sha256:bd7e4099483e2c504052ffaf5a6f663ef2c1f95ca434ddfd767b6e95c2984ec4

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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raw_fallback, observed 2026-08-11T05:34:42.169354Z

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 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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Source-reported events for the cited work

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

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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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no resolver link, observed 2026-08-11T05:34:40.607756Z

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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

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 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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no resolver link, observed 2026-08-11T05:34:40.621841Z

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source=pdf_text observed=2026-08-11T05:34:40.621841Z digest=sha256:f7beb53012e46c449ec74dd2ba8b4f0d88434d6e9963d4e839cc3c45fe3ba0e8

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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no resolver link, observed 2026-08-11T05:34:40.626599Z

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source=pdf_text observed=2026-08-11T05:34:40.626599Z digest=sha256:c153773cfa3eba7b43916d2d20c781f5cc9f2e9f24ebaf4ea6f6b4f2267e5917

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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source=pdf_text observed=2026-08-11T05:34:40.631222Z digest=sha256:6b9d77bba3f516a79b31b6229e1a2a202bcd331481e3383ad56e7950a833c50d

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

source=pdf_text observed=2026-08-11T05:34:40.635545Z digest=sha256:633de91cd24e191aefe8370d61def59b01e0d83a146a8a7dd849918129d424c4

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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no resolver link, observed 2026-08-11T05:34:40.639924Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.639924Z digest=sha256:c55448bf1d7d3d9951e692818897630f206ef2cbb23528a2042c77e3bfbd0f97

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

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T05:34:40.644416Z digest=sha256:cc7f8bd7d55b423a5ae4bc812008f2e38c3e25f0314b5e4a84c13f0545624f1d

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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raw_fallback, observed 2026-08-11T05:34:42.155969Z

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 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

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=2026-08-11T05:34:40.652989Z digest=sha256:15ab6ad1606047de6b79e8eaab7d3e36d4982177d68f0169c8c5d2d7bf5cd97b

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:ea2f197b142732ba75cbe21833a77d5c6bca60be7db79154080443e25c4a9cc4

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

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.661308Z digest=sha256:5460e79852e34d93c1eeb1acd109ea8cf0680f0360016175bc6630ef60494748

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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verified exact
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.665488Z digest=sha256:70e9321fdb42f800db8295ae3bf6547c0914d073ab416dbd2b35e1a4b3ef2b6e

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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verified exact
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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.669474Z digest=sha256:4f8aefe3df9ccb9cd7b8e0bba9c9f2870c83e0a6a28da9c0d44aeeb2fbcecaa1

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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raw_fallback, observed 2026-08-11T05:34:41.812507Z

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=2026-08-11T05:34:40.673443Z digest=sha256:df4d899e38de2a9ca2440f50fbf1f0caaae78833059417d01659a8de8c60d069

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-reported events for the cited work

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source=pdf_text observed=2026-08-11T05:34:40.677157Z digest=sha256:4567b729ff67c9d1747c1721cfdac976ed0bf564324d834b5e50f613026fcace

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.681082Z digest=sha256:3a9421a9bdcd50d7f484c7b86f47e9fede1a1e44cc07fceee1481e604d0b6d6c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.684589Z digest=sha256:4d4ec2aea9e3e4bcb1fbb19314d5c960a144975e3bbd14f4203d750fdd23d8ea

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:d0f99a8c58b52211dbbf09f6a024878592d54e9a19c4a9d83dc5dc07eeeab0b1

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

Source-reported events for the cited work

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source=pdf_text observed=2026-08-11T05:34:40.692818Z digest=sha256:cf7ef4d80c6a45764d276b93a4604eb74436db65a3d952f690ef1b734d0aa59a

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T05:34:40.697235Z digest=sha256:81f9ce098a4038ca3e7dce4bb13130021bc6ca64f7a729536c3d2f3200c29c56

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.700923Z digest=sha256:894149bf8bf921de4e49c741ca9ddcfe46b75f9c7b96489920de2c7c689cd733

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:df440a48c14699098b54f9b7f32255fbcaeaf37c9a123a76be575949c7573726

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.708800Z digest=sha256:2e47ab875ad9bca58ddc960e21dbc266e5b8a09e5f344c45cd17eac4b1ebbc63

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.712736Z digest=sha256:7b1d5dae7f66b99dde8a82b59af952c3b007ebb370cda2a1c6c4da7582eafea3

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.716719Z digest=sha256:de40a98c0f3a25434249365059d8e42f985ed77c49fdbfaa92b443e6c619de71

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:d01f797424590a69b5e88880bf7eec84a2dd793c1404cfb6f62dfe1d4ba87a5c

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.724234Z digest=sha256:1a7893464502f65bff3a094562f04b1f77a82ebd4111fcb18dd8815b649cb97a

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.728471Z digest=sha256:ea3b799812b88b54aa04165731a6223cb08026da1d9361a8a9a76fd09d747040

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:c914c8d30bfc5a9329bab6e55d7e6db10ef85245e7a029dbfb051c1a1955c710

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=sha256:7b2719973e8d38ec709160dc3fbb85d8e20f72e960fec47df934a790a1af7877

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.739978Z digest=sha256:624418c73f36c7d61774b7d2f48544fbd51f1f50f9244a39f892c27b3f719951

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=sha256:9b9fcce62b38543f858e5eeaf6f81ea3a24a6c6cc8165e00f7c3aa1593e4f52a

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:e9e69a733bb25771caab9ebd586eda9ff5ceeb7274ff7d7b022ff605c0db3bce

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=sha256:7c703bf5b04179400d5e689a0468ea8d4cb1d6157b2848dd24db3123464145cd

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:a2efef161d2b8f315859b5ed1c39bbcb4d751ec5da3434c4936ae0b6bc0613f1

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:a7aef5cf0579f3db2d56a3d697d4f3eafbc80f79ac0333dc81a26db0aaf0087f

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:f494438b5ff50ca9e9df840fff1cd427f2e8b1be3721c23896653d64da55b0ef

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=sha256:438d0dee6230d1620c44afaa34675aa8ff55bf24dcc073c2e7c03eb3b3338877

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.771938Z digest=sha256:d129daa159798b3470ec216a2deb13acf078ff66fbc4eb5f7701b8e9e8a10de6

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.775472Z digest=sha256:8446c1f6ce76102e6dd77c0a51d345bcf88f9014b74576859425ca1adeb7f7d9

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.779387Z digest=sha256:81b7ef4dd3c406d08036a8d4979e7e3a26d20232fb676247043a801b4b29ea3b

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.783198Z digest=sha256:414e361a99cd3901af4f11a7b478afda7d251b9db19bd58616119d1e5b13559c

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=sha256:6eec360df49fed9af2eec8ff0a5900c81ce35e7435bf8544c39fd5a868602d92

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.791432Z digest=sha256:3afc1376c43b422e9cf96cfeac3fa378c333f6af1d7cefe65e35567a94b6f683

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.795357Z digest=sha256:b37095b29836a2e6f97e2366b4351d9ac86caeb88ee16a8be6c0ebd57f9aec81

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:ca7ca4a31abf3bfffb79171bbf36a455efca7c8ad9deaf43640bf32d7c83ee21

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.803340Z digest=sha256:e78e8ffec28a1d5aa293c5179110da2485966e81f05d004e01018b342a122fbd

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.806867Z digest=sha256:fad9d0d0e6f7e528ee11638ffc8fe65af93dfaac0efcb8c606a9a92eeb21fa5d

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:cc20e0dfab86d9e0ee0283122687c7409a7ae1335374f3117cc373e8ca429964

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-11T05:34:40.815351Z digest=sha256:1b94c629792360b86ad847e36f03430b49ce9cce585c7dc6406da195d371dcb0

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=sha256:3f41aac401509f83b88325b0508c92e1cdaddd0ba87d669fe9541ea6322e1c74

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=sha256:508585879fc07fcee652c45694958758d5ec8561c5b72c7a981938ff9eb9237f

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=sha256:0903261341dd757fef2496fda8fbd036509c8d533e174e8b357b334a354f1ca2

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=sha256:9ad9a83f2a36f67c0eac07a07dc282d1f063abc18a9d3bc62a53bf5b18fa716f

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 2026-08-14T06:32:32.682623+00:00.

source=pdf_text observed=2026-08-05T14:39:15.313630Z digest=sha256:265246c546f7ba9b42c7589d7116d1656ab5555c86af91bae931605f3252438f