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Paper Citation Record · LEDGER

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

As of 22 August 2026, this Paper Citation Record lists 87 of 87 outbound references and 2 inbound Pith citation observations for arXiv:2507.04571.

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

pith.paper-citation-record.v1
2507.04571 v1

Coverage vector

measured 87 of 87 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-06T19:55:21.546299Z

measured 89 of 89 standing notices

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measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T19:55:13.157865Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

87 of 87 outbound references displayed

  • verified exact17
  • verified fuzzy0
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External citation measurements

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Outbound references

Observation 2c7b0b50-5093-46d9-b4f3-0f143d98ab81 · outbound

This paper cites Can Magrans s/n, 08193 Barcelona, Spain.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Can Magrans s/n, 08193 Barcelona, Spain

Reference 1

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Observation b73a7a9e-aa28-4026-8f04-381baf4977f8 · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 2

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Observation 8d2e054a-aadc-46d8-afdc-3f2484fc67d1 · outbound

This paper cites Dark Matter and Global Symmetries.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Dark Matter and Global Symmetries

Reference 3

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Observation 6cbae9de-9e8e-4eae-be9a-3f66820b97ff · outbound

This paper cites Particle Dark Matter: Evidence, Candidates and Constraints.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Particle Dark Matter: Evidence, Candidates and Constraints

Reference 4

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Observation f37f7eb1-549a-4e3b-8540-064e26c6f8fa · outbound

This paper cites Non-Baryonic Dark Matter - Observational Evidence and Detection Methods.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Non-Baryonic Dark Matter - Observational Evidence and Detection Methods

Reference 5

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Observation 619c921d-e15f-46a5-90c6-3885ebe9518f · outbound

This paper cites Direct Detection of Dark Matter Rates for Various Wimps.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Direct Detection of Dark Matter Rates for Various Wimps

Reference 6

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Observation 8dbc3536-9121-4e92-bb8f-06648c70434d · outbound

This paper cites TASI 2012 Lectures on Astrophysical Probes of Dark Matter.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves TASI 2012 Lectures on Astrophysical Probes of Dark Matter

Reference 7

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Observation 1dde1b9f-be44-4dad-99b1-7ea20e944770 · outbound

This paper cites Dark Matter and Collider Phenomenology of Universal Extra Dimensions.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Dark Matter and Collider Phenomenology of Universal Extra Dimensions

Reference 8

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Observation 0a566871-249b-4093-898c-5e29eb538395 · outbound

This paper cites Axion hot dark matter bounds after Planck.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Axion hot dark matter bounds after Planck

Reference 9

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Observation 5b614773-f717-4be5-85b0-112ef99ee4aa · outbound

This paper cites Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

Reference 10

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Observation a3aa1404-9345-47c6-b7c4-21997915140f · outbound

This paper cites Astrophysical Axion Bounds: The 2024 Edition.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Astrophysical Axion Bounds: The 2024 Edition

Reference 11

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Observation 5cae4324-de15-404a-a093-13582efdd55b · outbound

This paper cites Kuster, G.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Kuster, G

Reference 12

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Observation 4ec0f4fb-8a7b-40a2-94bb-9a977009b1af · outbound

This paper cites Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant

Reference 13

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Observation 4fcda27b-9ec3-4422-8a43-832cc6745352 · outbound

This paper cites DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves DESI 2024 VI: Cosmological Constraints from the Measurements of Baryon Acoustic Oscillations

Reference 14

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Observation 2d9d4bb3-2644-40a9-9098-b38d9cb80b89 · outbound

This paper cites Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration

Reference 15

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Observation 3880b386-8cc1-48fb-912c-157ff1a324ba · outbound

This paper cites Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests

Reference 16

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Observation 425fa988-288b-457f-81c5-baf3a0bff673 · outbound

This paper cites Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch

Reference 17

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Observation 01a926fa-fedb-4537-8510-a9b8f4459e26 · outbound

This paper cites Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion

Reference 18

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Observation b3a486fa-b8f0-4676-b045-88d0d3ea1fc1 · outbound

This paper cites Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe

Reference 19

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Observation f13d31f1-60b1-4bbf-a331-4dff21b40939 · outbound

This paper cites Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?

Reference 20

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Observation d4e8c929-f0be-45e4-9699-4bbe45082f91 · outbound

This paper cites Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion

Reference 21

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Observation c4de69c4-b547-4235-8fcd-ef92baf865fe · outbound

This paper cites Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Geometric Inflation and Dark Energy with Axion $F(R)$ Gravity

Reference 22

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Observation c68dbb2a-a9d2-445a-bc52-aa10450f28e7 · outbound

This paper cites Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Triple unification of inflation, dark energy, and dark matter in two-scalar-field cosmology

Reference 23

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Observation 8269d5f0-cc43-451b-b92f-51df86b1fa80 · outbound

This paper cites Curing singularities in cosmological evolution of F(R) gravity.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Curing singularities in cosmological evolution of F(R) gravity

Reference 24

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Observation 47b389fb-1356-4c7d-bb74-96d4120cde0c · outbound

This paper cites Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

Reference 25

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Observation 76b3d55b-c406-4c80-b198-b27de6d46afc · outbound

This paper cites Capozziello, M.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Capozziello, M

Reference 26

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Observation 1bc1ca3c-19ff-44d7-acdd-eabc5bc026d2 · outbound

This paper cites Nojiri, S.D.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Nojiri, S.D

Reference 27

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Observation 93afc289-25d7-402f-aa88-21fc8e4d555b · outbound

This paper cites Nojiri, S.D.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Nojiri, S.D

Reference 28

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Observation cecf91c4-d0fb-470c-8cd1-995800598bfb · outbound

This paper cites Recent Advances on Inflation.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Recent Advances on Inflation

Reference 29

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Observation 275102be-afc8-4676-93ea-5d8c45f5a06c · outbound

This paper cites Probing Cosmic Inflation with the LiteBIRD Cosmic Microwave Background Polarization Survey.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Probing Cosmic Inflation with the LiteBIRD Cosmic Microwave Background Polarization Survey

Reference 30

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Observation 4469b42d-95c4-4438-b2eb-1d8da2436c74 · outbound

This paper cites Planck 2018 results. VI. Cosmological parameters.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Planck 2018 results. VI. Cosmological parameters

Reference 31

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Observation d6c4d977-63e0-4185-b1a0-423f8b559790 · outbound

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Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 32

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Observation 052aefd4-6c13-4646-89e9-2ad741791bc9 · outbound

This paper cites Muller, H.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Muller, H

Reference 33

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Observation 69171dbc-0438-4d49-aa14-fce702c6fcfb · outbound

This paper cites Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses

Reference 34

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Observation 0908ff80-2414-4714-8832-cd83976a9135 · outbound

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Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 35

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No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 576a3623-f2e4-46f6-8350-102ff496b38b · outbound

This paper cites Models of f(R) Cosmic Acceleration that Evade Solar-System Tests.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Models of f(R) Cosmic Acceleration that Evade Solar-System Tests

Reference 36

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source=pdf_text observed=2026-08-06T19:55:16.327892Z digest=sha256:215d191bf20f4cabdc5627111559230da435a5b7db3df218674706a514b68687

Observation db546835-a40f-4101-858c-c835c3f0baf2 · outbound

This paper cites Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Cosmic history of viable exponential gravity: Equation of state oscillations and growth index from inflation to dark energy era

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:16.475130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:16.475130Z digest=sha256:7ee113a2eb5247653096d0857613a5523398560168486600413ac4f2c7e31b50

Observation d6f77998-2107-4c7c-a5ed-b390bd8ea990 · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 38

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:16.612005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:16.612005Z digest=sha256:9ee43cb9fd6f26ccf443628ac69a463b8e797d784c489511a60e72dc8a4d4f61

Observation f6670c70-d570-4fdd-b886-bb5bf9f34e3f · outbound

This paper cites Effective Field Theory of Cosmic Acceleration: an implementation in CAMB.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Effective Field Theory of Cosmic Acceleration: an implementation in CAMB

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:16.708216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:16.708216Z digest=sha256:44c25ac3c388c2cf991f4a772375996b80679645df1d62f1769a813084e05db0

Observation 68ed7559-30bb-43fc-a9de-8fed9f97a078 · outbound

This paper cites Confronting Cold New Early Dark Energy and its Equation of State with Updated CMB, Supernovae, and BAO Data.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Confronting Cold New Early Dark Energy and its Equation of State with Updated CMB, Supernovae, and BAO Data

Reference 40

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:16.862944Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:16.862944Z digest=sha256:c6864ea6acc9dcee9b260d1701a1d3787851817fcb2576258dff44b1f3ad12a9

Observation b4ee57fe-3e89-4653-8229-4726674d25d8 · outbound

This paper cites The Quest for B Modes from Inflationary Gravitational Waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves The Quest for B Modes from Inflationary Gravitational Waves

Reference 41

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:55:17.000158Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:17.000158Z digest=sha256:5612162992abafa4c142fb550e5eb2d1330e2ea8aa37e67159c621eaddc8f38d

Observation 9bb0a4c2-fee6-489d-bfe4-9dab1353a75e · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 42

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:55:23.139516Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:17.206823Z digest=sha256:520f3886eb8dc639975f8b8f273b6920dd357fa1b00b12657ddbff00a2c73e00

Observation 252e16db-55f3-4edc-a434-62827c4cb88a · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 43

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:55:23.051641Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:17.376828Z digest=sha256:fc080dff9dd9da78d0e9a5a43f92a0776a34cebc54a17289e44fcd7942ad06bc

Observation 2fd587de-3e64-4146-8a0e-bac4dbb23c56 · outbound

This paper cites Relic Gravitational Waves in the Accelerating Universe.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Relic Gravitational Waves in the Accelerating Universe

Reference 44

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.985017Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:17.505108Z digest=sha256:e4cc8e55fdb5733263b0c87b88fd846d458582331e8ab9b7833a25e01a477c28

Observation 8b121074-5f7e-426e-afb1-f11d449f6e90 · outbound

This paper cites Cosmological Backgrounds of Gravitational Waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Cosmological Backgrounds of Gravitational Waves

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:17.629182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:17.629182Z digest=sha256:cd5587634075347b22e7497637b6f8e16ac8f59b42438444f2d8cc6f665b4899

Observation b388f880-4516-4cfe-ba38-864cb64ca751 · outbound

This paper cites Constraints on primordial gravitational waves from the Cosmic Microwave Background.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Constraints on primordial gravitational waves from the Cosmic Microwave Background

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:17.740917Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:17.740917Z digest=sha256:f50c522de49648f8cfe9ccc239f23273a2d23a2a11f50a9881ad7053359c1460

Observation c20d4d20-4616-4c00-8ebc-4e35e40c2f2f · outbound

This paper cites Direct detection of the inflationary gravitational wave background.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Direct detection of the inflationary gravitational wave background

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:17.859252Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:17.859252Z digest=sha256:4334d369dd5b229950747983cef99795901dffe0f2fad65b7a12d20b0f7edb32

Observation 88b0d8d3-1bde-4675-a1e9-d09b345f3809 · outbound

This paper cites Thermal history of the plasma and high-frequency gravitons.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Thermal history of the plasma and high-frequency gravitons

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:17.978813Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:17.978813Z digest=sha256:83a1f4b4749a075b568c0c996fb0e5c6ea14d5d3893fa8c294de57ac92c4dbc6

Observation 54c6818a-a42e-4b23-98c1-3107cec09c21 · outbound

This paper cites Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Detecting Relic Gravitational Waves by Pulsar Timing Arrays: Effects of Cosmic Phase Transitions and Relativistic Free-Streaming Gases

Reference 49

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:18.087541Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:18.087541Z digest=sha256:a34d116955e1d1fb0a697fddcc832e5dc9ef861376c34e80be9ec74b6955e861

Observation 929dbbfd-b32b-44f9-b2f1-5081a4aded95 · outbound

This paper cites Relic gravitons and high-frequency detectors.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Relic gravitons and high-frequency detectors

Reference 50

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T19:55:22.935104Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.264272Z digest=sha256:79907c72202b776d4634bc4271cea6f8c009c89f35bdec04b6544d0fcb96374e

Observation ffa560be-ca6b-4683-a2d0-5fe44bf24ce1 · outbound

This paper cites Inflation, space-borne interferometers and the expansion history of the Universe.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Inflation, space-borne interferometers and the expansion history of the Universe

Reference 51

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.923807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.380958Z digest=sha256:ea69a3454bbf562ba792af8a1506a4b7a9f844cb3c3427adfaa37e203b563618

Observation f4a4b5d4-fa9f-4e9d-b7dc-d807d4ed3246 · outbound

This paper cites Relic gravitons at intermediate frequencies and the expansion history of the Universe.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Relic gravitons at intermediate frequencies and the expansion history of the Universe

Reference 52

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.911730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.584090Z digest=sha256:f57ea7ce2cac07ee8701e4f9584bec15a6c82168fbd943e187fed4d32a9dba72

Observation b1649154-cdcc-4d55-8905-96fd95f81920 · outbound

This paper cites Giovannini, Phys.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Giovannini, Phys

Reference 53

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T19:55:22.900344Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.705118Z digest=sha256:8c8791f4c763bc887d7b93ae30e9e9db1dab4265742b395d1299b5fcee6ea2dc

Observation c1587d8d-2bfb-4a99-b807-b1009af58d6d · outbound

This paper cites Giovannini, Prog.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Giovannini, Prog

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:18.786606Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:18.786606Z digest=sha256:c7b7e1d0cc31578ee74e24061eba48017a08996be1b2d0856866aea8f5d5e77d

Observation d8e9807b-a449-4963-b6e3-ec061d6a6ecb · outbound

This paper cites Effective energy density of relic gravitons.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Effective energy density of relic gravitons

Reference 55

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.786042Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.851697Z digest=sha256:57d1f4c2253595bace34e44f2d1a71e5e7418502cc6cb84c085f05cd953aba09

Observation 83aaf4f3-d0a0-4427-840b-7fce0dae485a · outbound

This paper cites The scalar modes of the relic gravitons.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves The scalar modes of the relic gravitons

Reference 56

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.777246Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.915535Z digest=sha256:f84ef8adef15d82618c7b4cbcc48fde095d50321b3da22d933a7453e16751022

Observation 8833d3df-aa84-452c-9f09-0f68d31b7b48 · outbound

This paper cites Stochastic backgrounds of relic gravitons: a theoretical appraisal.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Stochastic backgrounds of relic gravitons: a theoretical appraisal

Reference 57

Resolution
metadata mismatch
local_arxiv, observed 2026-08-06T19:55:22.768776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:18.980040Z digest=sha256:961f31ee83ff7478bfa68d1eb32d484abd71226da9787a536f5695e0ed57ed34

Observation 670318ca-96b4-426a-a2b4-bd21f1d8da34 · outbound

This paper cites Gravitational Radiation from First-Order Phase Transitions.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Gravitational Radiation from First-Order Phase Transitions

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.057880Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.057880Z digest=sha256:9c0ffb78e86edb4b5bf1c269db5ea5311d20596bd8ebf424339009eee2b27e0e

Observation 33d8d7c2-0a6e-4af2-bad2-eec954ffcdeb · outbound

This paper cites Propagating Speed of Primordial Gravitational Waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Propagating Speed of Primordial Gravitational Waves

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.123881Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.123881Z digest=sha256:d19565a4c0f54564a8dc3e12efd565e66e97664165b374a3d026cd1344cca628

Observation d6d0ce1e-8ca2-43f4-bb17-767a8ce96bc0 · outbound

This paper cites Relic gravitational waves and their detection.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Relic gravitational waves and their detection

Reference 60

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.748725Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:19.201298Z digest=sha256:588f93cdbcd15fd0630310b385b553dd050f5bf15f7aaa77e883102c35720494

Observation e8f99562-eb92-4351-9a2b-e0da61a60554 · outbound

This paper cites Gravitational-wave cosmology across 29 decades in frequency.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Gravitational-wave cosmology across 29 decades in frequency

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.320742Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.320742Z digest=sha256:55d9b2b36d56d350ad81f53bf11e275e90cd5a3fd559bc43cde94b24607610a1

Observation f10c500b-9658-4ec6-bdfa-4290091316be · outbound

This paper cites Parity violation in stochastic gravitational wave background from inflation.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Parity violation in stochastic gravitational wave background from inflation

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.381874Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.381874Z digest=sha256:16e00a254cfd9ddbc3f0d8732e3fecd68e4e9bb30525f41029d365aef4f007e3

Observation 403c80a7-eb03-45f9-b9b9-7171ebf501e1 · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 63

Resolution
metadata mismatch
raw_fallback, observed 2026-08-06T19:55:22.727785Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:19.464049Z digest=sha256:abafbab0b35edc17cbc9bd333254d610ba69822f384e3f6898c6e7b6cb357554

Observation df24662b-ce90-4610-a4c4-481e0e3137b9 · outbound

This paper cites Primordial black holes and scalar induced gravitational waves from Higgs inflation with non-canonical kinetic term.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Primordial black holes and scalar induced gravitational waves from Higgs inflation with non-canonical kinetic term

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.522183Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.522183Z digest=sha256:354fc17c59d86e62fbedc08ab0fed57e5c5ede3613d4e1c10809391e28769f6f

Observation 1ab77ba3-161f-402a-ac81-a0894e3d13d1 · outbound

This paper cites Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Double-peaked inflation model: Scalar induced gravitational waves and primordial-black-hole suppression from primordial non-Gaussianity

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.598704Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.598704Z digest=sha256:f062bb363af019b8a5cc0210dff0f4abd589f8f81615ac3af5123da6f823695c

Observation 46ba4d51-4b4d-4012-b571-612450f388ab · outbound

This paper cites Brane-world extra dimensions in light of GW170817.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Brane-world extra dimensions in light of GW170817

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.656549Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.656549Z digest=sha256:2779a9563b7be28b9520f122bff704ca683418e4318c784ce71e0602e7d86684

Observation 50a32220-ff75-4772-92e0-40546cd6e191 · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 67

Resolution
verified exact
raw_fallback, observed 2026-08-06T19:55:22.655423Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:19.721979Z digest=sha256:6be82255c80a6321756351323c4d5ba833413123648565365828cb588647aedb

Observation 719dcd04-c6fb-4800-a484-390e57a46aa0 · outbound

This paper cites Gravitational waves and dark matter from classical scale invariance.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Gravitational waves and dark matter from classical scale invariance

Reference 68

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.788500Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.788500Z digest=sha256:d56f1d9cf31812e7003aec7b288ae98c6de38ec1d6630298fe4dc44e5390573c

Observation 37821694-f872-4ca3-ad17-fe64d5354fca · outbound

This paper cites Mimicking dark matter and dark energy in a mimetic model compatible with GW170817.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Mimicking dark matter and dark energy in a mimetic model compatible with GW170817

Reference 69

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.853548Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.853548Z digest=sha256:3b43475f6c1fcd1408574f290643e40891ee94d3dadd4866c23cadd26d887203

Observation ef4bd9f1-1d4c-41ee-b6ae-9332e2f2712a · outbound

This paper cites an unresolved cited work.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Unresolved cited work

Reference 70

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:19.936932Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:19.936932Z digest=sha256:8ac96255d2cf0ebc68ab3bf6d9a402bcd97d4c22cb1fc095c54524ed9e5eb367

Observation f572c696-e674-42ad-8589-e174a485baf2 · outbound

This paper cites Alive and well: mimetic gravity and a higher-order extension in light of GW170817.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Alive and well: mimetic gravity and a higher-order extension in light of GW170817

Reference 71

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:55:20.022593Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.022593Z digest=sha256:2355ab4b4209ce773418f43e9bb638cd5db5562a63da5c5c5187c2081376ad3d

Observation 0356e8f0-f7f3-48f7-8dd0-5b1d5283ef7c · outbound

This paper cites Primordial black holes and gravitational waves in teleparallel Gravity.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Primordial black holes and gravitational waves in teleparallel Gravity

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:20.111164Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.111164Z digest=sha256:a77157624def2666c5480d2a23185ed6bc5301bed4da50da871aa9a5297227bc

Observation d8ee0fac-3192-4780-9b1e-07ea4b74c221 · outbound

This paper cites Sturani, Symmetry 13 (2021) no.12, 2384 doi:10.3390/sym13122384.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Sturani, Symmetry 13 (2021) no.12, 2384 doi:10.3390/sym13122384

Reference 73

Resolution
verified exact
doi, observed 2026-08-06T19:55:22.076874Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4d84fa5e-81f1-44ae-90ce-af672ee7a7be · outbound

This paper cites The challenge of ruling out inflation via the primordial graviton background.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves The challenge of ruling out inflation via the primordial graviton background

Reference 74

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:20.308289Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.308289Z digest=sha256:b083bb0ecdd1fcca9dcacce9809c3c9b7df536b70137762a73f6b9e1bb6ae711

Observation 94d731a7-51a3-477f-bb0b-11e1043d0118 · outbound

This paper cites The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves The Effect of Non-minimally Coupled Scalar Field on Gravitational Waves from First-order Vacuum Phase Transitions

Reference 75

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.411397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 1573052f-eb25-4e34-878d-bc0b05cf4b7d · outbound

This paper cites Towards a reliable calculation of relic radiation from primordial gravitational waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Towards a reliable calculation of relic radiation from primordial gravitational waves

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:20.482998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.482998Z digest=sha256:536b9d48b4798af71bf3615aa550ddb612d8052acd16813bcfb1944263b547d7

Observation ccb86c8e-d6fc-45f6-ab00-123dede1995e · outbound

This paper cites A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves A Refined Einstein-Gauss-Bonnet Inflationary Theoretical Framework

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:20.563577Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.563577Z digest=sha256:58cf55067fa541b3f0b07a049599c64a15492d3178a437b8961a8e11c023a057

Observation fd427630-3632-42a5-8fcc-35fa5d583f85 · outbound

This paper cites Impact of neutrino properties on the estimation of inflationary parameters from current and future observations.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Impact of neutrino properties on the estimation of inflationary parameters from current and future observations

Reference 78

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:20.652600Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.652600Z digest=sha256:a1897909bd3361e7713d4e49e3cb41fd3948b5eb0f932f52d944d447961dd488

Observation 0f29ee70-c20c-465f-a08a-39064072d40a · outbound

This paper cites Dark, Cold, and Noisy: Constraining Secluded Hidden Sectors with Gravitational Waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Dark, Cold, and Noisy: Constraining Secluded Hidden Sectors with Gravitational Waves

Reference 79

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:55:20.738558Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.738558Z digest=sha256:2bd5150a69b56dbd54834dcb0a361000c08bd921b7f7cbaa5cc666a3bc86ba6d

Observation 5cd0622a-0a41-423d-aca3-41b10b2a44e0 · outbound

This paper cites Primordial Tensor Perturbation in Double Inflationary Scenario with a Break.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Primordial Tensor Perturbation in Double Inflationary Scenario with a Break

Reference 80

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.376936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 4277b632-3ae1-4be3-a3f0-015c1f6816d0 · outbound

This paper cites Khlopov and S.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Khlopov and S

Reference 81

Resolution
verified exact
doi, observed 2026-08-06T19:55:21.825348Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

source=pdf_text observed=2026-08-06T19:55:20.884549Z digest=sha256:dbe6d73363038d55587def95a04dee55afb1d9f9ae482e961e28738d84040224

Observation 3d7d00c6-d175-4651-b5f4-38b1d39e803c · outbound

This paper cites Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Spectrum of Primordial Gravitational Waves in Modified Gravities: A Short Overview

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:20.899891Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:20.899891Z digest=sha256:29202a3f0ffb6837ee09d04bda75f7d79ffb8d79dd146e0647d67070ecaccf17

Observation 204eed95-003d-4b8f-b0e3-c284b2639c4b · outbound

This paper cites Primordial gravitational waves from NANOGrav: a broken power-law approach.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Primordial gravitational waves from NANOGrav: a broken power-law approach

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:21.068382Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:21.068382Z digest=sha256:ff5866b1042803a910c3624b4761d1e1b01ab840e3221a0a09c199fab9427c87

Observation 4e334cac-ec1e-42aa-9038-a62e9d057ce0 · outbound

This paper cites Implications of the NANOGrav results for inflation.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Implications of the NANOGrav results for inflation

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:21.199933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:21.199933Z digest=sha256:c93edf8eca925eece420ba705b4f0b622154bab0b3c93aafd95556711f466f1c

Observation 55dc4230-2eae-414d-b276-77aaf50daf5a · outbound

This paper cites Kination cosmology from scalar fields and gravitational-wave signatures.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Kination cosmology from scalar fields and gravitational-wave signatures

Reference 85

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:21.339580Z

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source=pdf_text observed=2026-08-06T19:55:21.339580Z digest=sha256:83e5ebaf2bf9b96b1189383b44cbc4b1471618bc3e00af706933d79919c3f39a

Observation 3211e83c-22f8-44fa-b4b0-730b170b8026 · outbound

This paper cites Higher-order gravity and the cosmological background of gravitational waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Higher-order gravity and the cosmological background of gravitational waves

Reference 86

Resolution
verified exact
local_arxiv, observed 2026-08-06T19:55:22.338262Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

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Observation 892cb3b8-4de5-4b66-b0ee-820b68fb7950 · outbound

This paper cites The quark chemical potential of QCD phase transition and the stochastic background of gravitational waves.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves The quark chemical potential of QCD phase transition and the stochastic background of gravitational waves

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-06T19:55:21.546299Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T19:55:21.546299Z digest=sha256:1268dcc88ce0b4d692404b18836962d08961b2e26eafe50ebf3732fc00ad1e6d

Pith citing papers

Observation 5b614773-f717-4be5-85b0-112ef99ee4aa · inbound

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves cites this paper.

Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

Reference 10

Resolution
malformed identifier
no resolver link, observed 2026-08-06T19:55:13.157865Z

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source=pdf_text observed=2026-08-06T19:55:13.157865Z digest=sha256:771a6e095e9233c630c93dc28e756b7b4f5a7c2e8c586ba9864c4cd092ab9fbc

Observation c2b4286a-4e40-493a-bbe8-2edad236a4e7 · inbound

Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation cites this paper.

Fibre Inflation Meets Quintessence: Implications of Perturbative Stabilisation Effective Equation of State Oscillations at Matter-Radiation Equality and Primordial Gravitational Waves

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-03T20:35:55.313674Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T20:35:55.313674Z digest=sha256:f8564ee07414e4a355ce9a396a2182655699fd82d76342114282ccc3b0ce17c6