Paper Citation Record · LEDGER

Suppression of the induced gravitational wave background due to third-order perturbations

As of 20 August 2026, this Paper Citation Record lists 45 of 45 outbound references and 1 inbound Pith citation observation for arXiv:2509.07811.

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

pith.paper-citation-record.v1
2509.07811 v1

Coverage vector

measured 45 of 45 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T21:44:15.209636Z

measured 46 of 46 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T15:50:31.454370Z

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

45 of 45 outbound references displayed

verified exact8
verified fuzzy2
unresolved35
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation de37c5cc-f8a1-46c6-8cbf-efe0726f2b3b · outbound

This paper cites Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I.

Suppression of the induced gravitational wave background due to third-order perturbations Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.025886Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d461831f-af80-437b-aeac-2c2e8a745aa2 · outbound

This paper cites Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array.

Suppression of the induced gravitational wave background due to third-order perturbations Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.031471Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d149c2cb-98fd-4819-b88b-3f2c4332dd62 · outbound

This paper cites The Parkes Pulsar Timing Array Third Data Release.

Suppression of the induced gravitational wave background due to third-order perturbations The Parkes Pulsar Timing Array Third Data Release

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.035547Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b259ee96-2a34-4c4c-9878-0512df9da8cc · outbound

This paper cites Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves.

Suppression of the induced gravitational wave background due to third-order perturbations Science with the space-based interferometer LISA. IV: Probing inflation with gravitational waves

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.040005Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b0a8819f-1a2e-4735-8c47-49a5fc01097d · outbound

This paper cites Tomita,Non-Linear Theory of Gravitational Instability in the Expanding Universe,Prog.

Suppression of the induced gravitational wave background due to third-order perturbations Tomita,Non-Linear Theory of Gravitational Instability in the Expanding Universe,Prog

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.044137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e777cfa6-ebbc-47d9-a06d-12f069178f3c · outbound

This paper cites Matarrese, O.

Suppression of the induced gravitational wave background due to third-order perturbations Matarrese, O

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.048124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ed838e14-88f4-473d-aac0-f21a4d38d29b · outbound

This paper cites General Relativistic Dynamics of Irrotational Dust: Cosmological Implications.

Suppression of the induced gravitational wave background due to third-order perturbations General Relativistic Dynamics of Irrotational Dust: Cosmological Implications

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.052492Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8b2a0be7-bccb-43ec-be6c-7aba6c2c4170 · outbound

This paper cites Relativistic second-order perturbations of the Einstein-de Sitter Universe.

Suppression of the induced gravitational wave background due to third-order perturbations Relativistic second-order perturbations of the Einstein-de Sitter Universe

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.056694Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fb5ce793-04cc-4082-9c37-a7a71321b748 · outbound

This paper cites The cosmological gravitational wave background from primordial density perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations The cosmological gravitational wave background from primordial density perturbations

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.060673Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 0aa566a8-2aa5-4d6d-8a69-3f4ee1b044e8 · outbound

This paper cites Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.065216Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1e44da48-afc4-40b6-9a62-d70eb9c5a0a4 · outbound

This paper cites Detecting the Stochastic Gravitational Wave Background from Primordial Black Holes in Slow-reheating Scenarios.

Suppression of the induced gravitational wave background due to third-order perturbations Detecting the Stochastic Gravitational Wave Background from Primordial Black Holes in Slow-reheating Scenarios

Reference 16

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.608630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation b78a9db6-5ecf-4c7b-98e3-8d52c3d6fac2 · outbound

This paper cites The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes.

Suppression of the induced gravitational wave background due to third-order perturbations The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.073386Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5d16515f-10ea-45b0-a339-42f1381cb3e9 · outbound

This paper cites Detecting the Stochastic Gravitational Wave Background from Primordial Black Hole Formation.

Suppression of the induced gravitational wave background due to third-order perturbations Detecting the Stochastic Gravitational Wave Background from Primordial Black Hole Formation

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.077196Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b39dc583-735b-4084-a509-c1c42a5a167e · outbound

This paper cites Nakama, J.

Suppression of the induced gravitational wave background due to third-order perturbations Nakama, J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:44:15.714334Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 7772efbf-a9de-4fd5-a063-cfb139d90d45 · outbound

This paper cites Nakama,Stochastic gravitational waves associated with primordial black holes formed during an early matter era,Phys.

Suppression of the induced gravitational wave background due to third-order perturbations Nakama,Stochastic gravitational waves associated with primordial black holes formed during an early matter era,Phys

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-04T21:44:15.703082Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 241c6c35-a301-435c-9c05-1782c6dbb44e · outbound

This paper cites Did NANOGrav see a signal from primordial black hole formation?.

Suppression of the induced gravitational wave background due to third-order perturbations Did NANOGrav see a signal from primordial black hole formation?

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.088430Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b663f48a-c401-4665-8721-82b643676bd6 · outbound

This paper cites NANOGrav Hints to Primordial Black Holes as Dark Matter.

Suppression of the induced gravitational wave background due to third-order perturbations NANOGrav Hints to Primordial Black Holes as Dark Matter

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.092375Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 3ca45df8-d153-4ad2-93de-ed5ef4a1e2a4 · outbound

This paper cites A topic review on probing primordial black hole dark matter with scalar induced gravitational waves.

Suppression of the induced gravitational wave background due to third-order perturbations A topic review on probing primordial black hole dark matter with scalar induced gravitational waves

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.096540Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2b6f320f-f18b-4417-ba6a-3bdea2eb3ac4 · outbound

This paper cites Scalar induced gravitational waves review.

Suppression of the induced gravitational wave background due to third-order perturbations Scalar induced gravitational waves review

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.100836Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation e8fb8b3a-70d0-4323-812f-61a84332b8c4 · outbound

This paper cites Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers.

Suppression of the induced gravitational wave background due to third-order perturbations Gauge Field Production in Axion Inflation: Consequences for Monodromy, non-Gaussianity in the CMB, and Gravitational Waves at Interferometers

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.105335Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 8a43fea6-4949-40cb-a411-7b45c3615e87 · outbound

This paper cites Finding the chiral gravitational wave background of an axion-SU(2) inflationary model using CMB observations and laser interferometers.

Suppression of the induced gravitational wave background due to third-order perturbations Finding the chiral gravitational wave background of an axion-SU(2) inflationary model using CMB observations and laser interferometers

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.109141Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4f335721-1ee0-4b0a-81de-c9a01e195798 · outbound

This paper cites Primordial Gravitational Waves from Axion-Gauge Fields Dynamics.

Suppression of the induced gravitational wave background due to third-order perturbations Primordial Gravitational Waves from Axion-Gauge Fields Dynamics

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.113705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10ad6578-4c07-4aa0-adcf-875995ff3bb1 · outbound

This paper cites Gravitational waves from primordial scalar and tensor perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Gravitational waves from primordial scalar and tensor perturbations

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.502392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 66eab84f-8189-47ee-b1d1-f378270e810c · outbound

This paper cites Gravitational waves induced by scalar-tensor mixing.

Suppression of the induced gravitational wave background due to third-order perturbations Gravitational waves induced by scalar-tensor mixing

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.121998Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 53f59214-82aa-4491-85e2-99e2cc5981fb · outbound

This paper cites Induced gravitational waves: the effect of first order tensor perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Induced gravitational waves: the effect of first order tensor perturbations

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.125805Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d6ff5e6c-9dcc-4a1a-be46-79658c007651 · outbound

This paper cites Primordial Gravitational Waves Assisted by Cosmological Scalar Perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Primordial Gravitational Waves Assisted by Cosmological Scalar Perturbations

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.130651Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation b9cdd34e-5c6d-446f-a12d-6eb29f57da0c · outbound

This paper cites Missing one-loop contributions in secondary gravitational waves.

Suppression of the induced gravitational wave background due to third-order perturbations Missing one-loop contributions in secondary gravitational waves

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.457644Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 85b20280-0c1e-41d0-ba2c-80b35d44099c · outbound

This paper cites Cosmological perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Cosmological perturbations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.139589Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation f4f2088c-5da1-4ae6-b074-74e985594e7c · outbound

This paper cites Practical tools for third order cosmological perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Practical tools for third order cosmological perturbations

Reference 34

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.431340Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 51e521a5-a8f4-4e50-bcd0-c2e47ec8c28d · outbound

This paper cites Cosmological Backgrounds of Gravitational Waves.

Suppression of the induced gravitational wave background due to third-order perturbations Cosmological Backgrounds of Gravitational Waves

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.147112Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d34f521e-1b1a-4993-900d-67f4fff4fddd · outbound

This paper cites The Third Order Scalar Induced Gravitational Waves.

Suppression of the induced gravitational wave background due to third-order perturbations The Third Order Scalar Induced Gravitational Waves

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.404730Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 23327a12-f913-45c5-9c9d-d07c771ea131 · outbound

This paper cites A Cosmological Signature of the SM Higgs Instability: Gravitational Waves.

Suppression of the induced gravitational wave background due to third-order perturbations A Cosmological Signature of the SM Higgs Instability: Gravitational Waves

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.155185Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d7b5e1bf-9462-4d1c-8f8c-c8e8ae5fd2fe · outbound

This paper cites Lectures on Gravitational Wave Signatures of Primordial Black Holes.

Suppression of the induced gravitational wave background due to third-order perturbations Lectures on Gravitational Wave Signatures of Primordial Black Holes

Reference 38

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.377288Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation a3d1dfc2-c65c-4d6e-9718-d49d9c4e7154 · outbound

This paper cites Adaptive Multidimensional Integration: VEGAS Enhanced.

Suppression of the induced gravitational wave background due to third-order perturbations Adaptive Multidimensional Integration: VEGAS Enhanced

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.163615Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 7089744a-4e7b-49fd-a32f-7817c313dd69 · outbound

This paper cites Gravitational-wave sensitivity curves.

Suppression of the induced gravitational wave background due to third-order perturbations Gravitational-wave sensitivity curves

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.167756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation be5efdbb-6e56-45ce-b783-b57bbb93dba8 · outbound

This paper cites Physics, Astrophysics and Cosmology with Gravitational Waves.

Suppression of the induced gravitational wave background due to third-order perturbations Physics, Astrophysics and Cosmology with Gravitational Waves

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.171986Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c92e268f-e649-48e4-8040-48672d8a3afe · outbound

This paper cites Chiral Primordial Gravitational Waves from Dilaton Induced Delayed Chromo-natural Inflation.

Suppression of the induced gravitational wave background due to third-order perturbations Chiral Primordial Gravitational Waves from Dilaton Induced Delayed Chromo-natural Inflation

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.175870Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fba1a736-4c42-4506-bbb8-08a6d3f0593f · outbound

This paper cites Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves.

Suppression of the induced gravitational wave background due to third-order perturbations Parity breaking signatures from a Chern-Simons coupling during inflation: the case of non-Gaussian gravitational waves

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.180253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ccdced93-4671-42f2-bc18-4b6c5e66811f · outbound

This paper cites Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra.

Suppression of the induced gravitational wave background due to third-order perturbations Measuring chiral gravitational waves in Chern-Simons gravity with CMB bispectra

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.184876Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2748d59c-19fa-454d-91f6-290463f61a93 · outbound

This paper cites Effects of scalar non-Gaussianity on induced scalar-tensor gravitational waves.

Suppression of the induced gravitational wave background due to third-order perturbations Effects of scalar non-Gaussianity on induced scalar-tensor gravitational waves

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.188628Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 33a4e6ea-3283-4fec-b6cd-21c5df629e48 · outbound

This paper cites an unresolved cited work.

Suppression of the induced gravitational wave background due to third-order perturbations Unresolved cited work

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.192253Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4cbfa24c-89a8-439f-8918-5572f778da7d · outbound

This paper cites xPand: An algorithm for perturbing homogeneous cosmologies.

Suppression of the induced gravitational wave background due to third-order perturbations xPand: An algorithm for perturbing homogeneous cosmologies

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.196803Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4dbbad74-3282-42a0-8721-2394c9f7db24 · outbound

This paper cites Vector and tensor contributions to the curvature perturbation at second order.

Suppression of the induced gravitational wave background due to third-order perturbations Vector and tensor contributions to the curvature perturbation at second order

Reference 48

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.280574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 634496de-5a17-46d4-b3bb-ffaa406a2e52 · outbound

This paper cites Vector modes generated by primordial density fluctuations.

Suppression of the induced gravitational wave background due to third-order perturbations Vector modes generated by primordial density fluctuations

Reference 49

Resolution: verified exact; local_arxiv, observed 2026-08-04T21:44:15.264332Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation fa162931-117b-4339-a49e-63a3fdfb13e8 · outbound

This paper cites Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations.

Suppression of the induced gravitational wave background due to third-order perturbations Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-04T21:44:15.209636Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Pith citing papers

Observation 2c410cb4-98ff-471d-9404-3642c1755a9f · inbound

Observable Gravitational Wave Strain at Second Order cites this paper.

Observable Gravitational Wave Strain at Second Order Suppression of the induced gravitational wave background due to third-order perturbations

Reference 97

Resolution: unresolved; no resolver link, observed 2026-08-03T15:50:31.454370Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.