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Paper Citation Record · LEDGER

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect

As of 11 August 2026, this Paper Citation Record lists 18 of 18 outbound references and 0 inbound Pith citation observations for arXiv:2502.08748.

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

pith.paper-citation-record.v1
2502.08748 v3

Coverage vector

measured 18 of 18 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T23:56:28.789990Z

measured 18 of 18 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 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

18 of 18 outbound references displayed

  • verified exact8
  • verified fuzzy4
  • unresolved6
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation c59035f0-c307-47ce-83ff-52f73f396d22 · outbound

This paper cites Vacuum polarization and photon mass in inflation.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Vacuum polarization and photon mass in inflation

Reference 1

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:29.208036Z

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=2026-08-07T23:56:28.688171Z digest=sha256:3016c047fba5b2e39c2cb5cd29af5bdaeb6fed8d63b18fe47a2b1b55386b778c

Observation 79dd755a-68b8-4b0d-87dc-00054841a5fb · outbound

This paper cites an unresolved cited work.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Unresolved cited work

Reference 3

Resolution
unresolved
raw_fallback, observed 2026-08-07T23:56:29.290386Z

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=2026-08-07T23:56:28.700519Z digest=sha256:7396abb093a0275e473e98081b1dfa3dc25726c40e8eb2b7e91d9afcec8b493c

Observation f1915828-5995-46a3-8c36-3deda3562d3d · outbound

This paper cites The Motion of Small Bodies in Space-time.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect The Motion of Small Bodies in Space-time

Reference 4

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:29.161023Z

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=2026-08-07T23:56:28.706187Z digest=sha256:ca9f1cce58ba155a1a095726525ee6877e5915ae23c43234e33a054cf5704955

Observation 232a4ff8-0fdd-4890-a7d6-1d563a520dfa · outbound

This paper cites Geometry and Motion in General Relativity.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Geometry and Motion in General Relativity

Reference 5

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:29.137616Z

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=2026-08-07T23:56:28.712296Z digest=sha256:8b4d33c3fadad342e3f49a8e14c09c33272c1d5ff9f9f55b37e96857ab809d16

Observation 737edb83-00b7-4aa1-a7a1-ed7435eab08c · outbound

This paper cites Null geodesic congruences, gravitational lensing and CMB intensity profile.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Null geodesic congruences, gravitational lensing and CMB intensity profile

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:29.114528Z

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=2026-08-07T23:56:28.718307Z digest=sha256:c3e521217c0dde94dd840cec4b1fdf1f6cc6be7acd1e94deed829522756cc123

Observation 8cb7e516-d9b6-43ca-8e40-c8a742c43ec9 · outbound

This paper cites The imprint of primordial gravitational waves on the CMB intensity profile.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect The imprint of primordial gravitational waves on the CMB intensity profile

Reference 7

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:29.091183Z

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=2026-08-07T23:56:28.724997Z digest=sha256:d7ad9706f5492384d546aa8b0d368aecfc28586205d1a9842c6a29d6fafdc396

Observation 1bc6897b-0844-4f62-bd54-69d8f5177c4d · outbound

This paper cites Durrer, Gauge Invariant Cosmological Perturbation Theory With Seeds, Phys.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Durrer, Gauge Invariant Cosmological Perturbation Theory With Seeds, Phys

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:56:29.273432Z

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=2026-08-07T23:56:28.730840Z digest=sha256:a2f56021b0dfd352c52da66489b66f3214c6f82d914686713ae590d7606599e5

Observation a1c522e1-d4b6-4bc7-b138-6d4fb1a7d15c · outbound

This paper cites Mukhanov, Physical Foundations of Cosmology, Cambridge University Press, 2005.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Mukhanov, Physical Foundations of Cosmology, Cambridge University Press, 2005

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:56:29.257301Z

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=2026-08-07T23:56:28.735924Z digest=sha256:979b032f5276e326bad84c77a20454c4c9a124acebcaa3d99dd93c17ebe79d2c

Observation cbb1d4f0-5bde-4278-8da9-f849df50ef7d · outbound

This paper cites The evolution of CMB spectral distortions in the early Universe.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect The evolution of CMB spectral distortions in the early Universe

Reference 10

Resolution
unresolved
no resolver link, observed 2026-08-07T23:56:28.741138Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:56:28.741138Z digest=sha256:b709546ef850c71e8b37cb9537666d7176517969a60aaee8799d46965b404bd2

Observation 883e0307-67d1-438b-ae43-0ddfacf73b2c · outbound

This paper cites Tashiro, CMB spectral distortions and energy release in the early universe, PTEP 2014, no.6, 06B107 (2014).

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Tashiro, CMB spectral distortions and energy release in the early universe, PTEP 2014, no.6, 06B107 (2014)

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:56:29.241218Z

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=2026-08-07T23:56:28.746759Z digest=sha256:4e53ba4e5d300a2a77cd468aa00ff6a39ea65d73be7fe1bf4d3f0c0e35d2eb20

Observation 4f9d86c3-9c68-4beb-8b61-a2aab669be04 · outbound

This paper cites Spectral Distortions of the CMB as a Probe of Inflation, Recombination, Structure Formation and Particle Physics.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Spectral Distortions of the CMB as a Probe of Inflation, Recombination, Structure Formation and Particle Physics

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-07T23:56:28.752085Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:56:28.752085Z digest=sha256:504f0058de97549196c9bb70f71e4d2bca5939cf8ebb9fc80c7fbd69b545d57f

Observation 85028800-892e-4b7c-8788-2e06fabf670c · outbound

This paper cites The origin, evolution and signatures of primordial magnetic fields.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect The origin, evolution and signatures of primordial magnetic fields

Reference 13

Resolution
unresolved
no resolver link, observed 2026-08-07T23:56:28.757674Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:56:28.757674Z digest=sha256:8b17f7611b4225aad4e71a2eff5a892e68ae9e9906a8f69bd9d3559df6412735

Observation 2ef24a7a-f2fc-401a-ae73-c45d40d523a3 · outbound

This paper cites Superhorizon Electromagnetic Field Background from Higgs Loops in Inflation.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Superhorizon Electromagnetic Field Background from Higgs Loops in Inflation

Reference 14

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:29.184067Z

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=2026-08-07T23:56:28.763190Z digest=sha256:ce3794a37a20d5369a88b2408149d7bf6a70b34b42e8a56df335aeddf85f383a

Observation 277b164a-2856-49be-980e-f5c7ce8d75e7 · outbound

This paper cites Parker and S.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Parker and S

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T23:56:29.224941Z

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=2026-08-07T23:56:28.768501Z digest=sha256:1183ddec7ace3d327771d884a372cfd8dd2b583375a0550deb46cdb2691c9c80

Observation 9f67b1b1-020b-46bb-b246-96031b3c47c4 · outbound

This paper cites Amplitude of Perturbations from Inflation.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Amplitude of Perturbations from Inflation

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-07T23:56:28.773926Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:56:28.773926Z digest=sha256:2dfee31dad927cb46e2209c0c09f59069c7eafdbfbe2cdff0e9ee75c19dab436

Observation e6a04af6-6cfd-465f-9559-89ebd0f6b3cf · outbound

This paper cites Lewis and A.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Lewis and A

Reference 17

Resolution
verified exact
raw_fallback, observed 2026-08-07T23:56:28.999243Z

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=2026-08-07T23:56:28.779437Z digest=sha256:115f8a0ceccafb90e464ba43ebe1d0bb73680f338cac6dc8e41017d66f56f3bc

Observation 5914c6b1-5d30-4f75-b3bf-b173077126da · outbound

This paper cites A Note on the Existence of Equal Time Correlators.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect A Note on the Existence of Equal Time Correlators

Reference 18

Resolution
verified exact
local_arxiv, observed 2026-08-07T23:56:28.856289Z

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=2026-08-07T23:56:28.784526Z digest=sha256:b1602a0038e9bf70e813a3c09d5a1da6326630dc48061beb2dca8f2956525a94

Observation 5adc0c9d-f3be-42a2-b920-83370684f19c · outbound

This paper cites Non-Gaussian features of primordial fluctuations in single field inflationary models.

Vacuum Polarization, Geodesic Equation and Sachs-Wolfe Effect Non-Gaussian features of primordial fluctuations in single field inflationary models

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-07T23:56:28.789990Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T23:56:28.789990Z digest=sha256:a556a041a7705bd7eb7b178531b1146eebf5582ea0976e086bf3202df2172c27

Pith citing papers

No inbound Pith citation observations are available.