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Paper Citation Record · LEDGER

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data

As of 21 August 2026, this Paper Citation Record lists 100 of 155 outbound references and 2 inbound Pith citation observations for arXiv:2412.15989.

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pith.paper-citation-record.v1
2412.15989 v1

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measured 100 of 155 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-07T15:23:01.485732Z

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100 of 155 outbound references displayed

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Outbound references

Observation 786957bc-3f63-4dd5-89c3-c2dd3e86cf14 · outbound

This paper cites These Poisson fluctuations give rise to isocurvature per- turbations in the matter power spectrum that could be observable as a small-scale plateau [137] (see also e.g.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data These Poisson fluctuations give rise to isocurvature per- turbations in the matter power spectrum that could be observable as a small-scale plateau [137] (see also e.g

Reference 1

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Observation c9d370c0-6c48-4a49-ad6f-6da14917b576 · outbound

This paper cites According to the Press-Schechter formalism, the density fluctuations associated to the matter power spec- trum, including Eq.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data According to the Press-Schechter formalism, the density fluctuations associated to the matter power spec- trum, including Eq

Reference 2

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Observation f0af67ee-3cfa-43e8-8007-e06cc5d90876 · outbound

This paper cites an unresolved cited work.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 3

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Observation 17e7b1f5-b886-40e5-8f3d-73bce8da7225 · outbound

This paper cites This process is similar to the evolution properties of known gravitation- ally interacting systems, for example, star clusters.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data This process is similar to the evolution properties of known gravitation- ally interacting systems, for example, star clusters

Reference 4

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Observation 8cd07ee0-fe3c-42c1-bbf5-dece24e87ecb · outbound

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Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 5

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Observation ac8fcf93-4e1c-44ca-9ec3-b3c1e61295f0 · outbound

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Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 6

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Observation 9ac5a2df-21bb-41a6-8b40-7c8e69d3e1ee · outbound

This paper cites In our analysis, only the SIGWs will be subject to these con- straints since the GWB from late PBH binaries will con- tribute after CMB.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data In our analysis, only the SIGWs will be subject to these con- straints since the GWB from late PBH binaries will con- tribute after CMB

Reference 7

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This paper cites [145, 146]) imposes that, at fL VK= 25 Hz, Ωgw ≤ 1.7 × 10−8.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data [145, 146]) imposes that, at fL VK= 25 Hz, Ωgw ≤ 1.7 × 10−8

Reference 8

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Observation 621fd50a-f86c-417e-9412-bf8ca41776b1 · outbound

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Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 9

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Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 10

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Observation 047d0ad3-c1da-42e4-9888-c01b01cf1231 · outbound

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Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

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Observation ea1ea7c3-ceb9-4de6-b937-c9ade922a889 · outbound

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Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 12

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Observation 9b4151db-cbfe-447a-a9d6-9a6d85733cbe · outbound

This paper cites Enhancement of superhorizon scale inflationary curvature perturbations.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Enhancement of superhorizon scale inflationary curvature perturbations

Reference 13

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Observation 66c1a5ee-a4af-4435-a7fe-34f4dfed7a98 · outbound

This paper cites Primordial black hole dark matter from single field inflation.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black hole dark matter from single field inflation

Reference 14

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Observation 2519d434-73ce-4adf-b552-5bdeef718a09 · outbound

This paper cites Primordial Black Holes from a tiny bump/dip in the Inflaton potential.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial Black Holes from a tiny bump/dip in the Inflaton potential

Reference 15

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Observation e86ad8c3-5d51-41fc-bbc2-36d0e4e6b0e8 · outbound

This paper cites Primordial black hole production during first-order phase transitions.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black hole production during first-order phase transitions

Reference 16

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Observation c8ec2273-3beb-4196-9f12-6b22bd0f8ad5 · outbound

This paper cites Primordial Black Holes from First-Order Cosmological Phase Transitions.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial Black Holes from First-Order Cosmological Phase Transitions

Reference 17

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Observation a18ad199-74b3-4702-a58d-14fd6e3a67c3 · outbound

This paper cites Primordial black holes from a cosmic phase transition: The collapse of Fermi-balls.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black holes from a cosmic phase transition: The collapse of Fermi-balls

Reference 18

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Observation dcc33059-92c4-4fd9-9070-009459de6fc3 · outbound

This paper cites Dark Matter as dark dwarfs and other macroscopic objects: multiverse relics?.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Dark Matter as dark dwarfs and other macroscopic objects: multiverse relics?

Reference 19

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Observation 47c8d64c-d28c-41d3-b0e1-a25c42e6580c · outbound

This paper cites Black holes and the multiverse.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Black holes and the multiverse

Reference 20

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Observation 413573cb-3abd-437d-80dd-e8366d9d1ecf · outbound

This paper cites Constraints on Primordial Black Holes.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Constraints on Primordial Black Holes

Reference 21

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Observation ffc459df-69e2-4b89-a522-279729ed7b64 · outbound

This paper cites Chandrasekhar, The Maximum Mass of Ideal White Dwarfs, Astrophys.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Chandrasekhar, The Maximum Mass of Ideal White Dwarfs, Astrophys

Reference 22

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Observation c19df0a1-c295-4920-88e4-9e54cfe88d47 · outbound

This paper cites Analysis of the subsolar-mass black hole candidate SSM200308 from the second part of the third observing run of Advanced LIGO-Virgo.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Analysis of the subsolar-mass black hole candidate SSM200308 from the second part of the third observing run of Advanced LIGO-Virgo

Reference 23

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Observation 44c2fd1c-59f8-4162-a940-d3ce7ce1dfc6 · outbound

This paper cites Analysis of a subsolar-mass compact binary candidate from the second observing run of Advanced LIGO.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Analysis of a subsolar-mass compact binary candidate from the second observing run of Advanced LIGO

Reference 24

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Observation 27b709bd-ce72-446d-8f1d-995f29963ae8 · outbound

This paper cites Search for subsolar-mass black hole binaries in the second part of Advanced LIGO's and Advanced Virgo's third observing run.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Search for subsolar-mass black hole binaries in the second part of Advanced LIGO's and Advanced Virgo's third observing run

Reference 25

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This paper cites The hunt for sub-solar primordial black holes in low mass ratio binaries is open.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The hunt for sub-solar primordial black holes in low mass ratio binaries is open

Reference 26

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Observation 39d9f907-cdaf-4735-a806-1c9d0d51b988 · outbound

This paper cites GW190425, GW190521 and GW190814: Three candidate mergers of primordial black holes from the QCD epoch.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data GW190425, GW190521 and GW190814: Three candidate mergers of primordial black holes from the QCD epoch

Reference 27

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Observation 3c985082-0419-4213-ae21-d36b6bf5911f · outbound

This paper cites The GW190521 Mass Gap Event and the Primordial Black Hole Scenario.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The GW190521 Mass Gap Event and the Primordial Black Hole Scenario

Reference 28

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This paper cites GW190814: Gravitational Waves from the Coalescence of a 23 M$_\odot$ Black Hole with a 2.6 M$_\odot$ Compact Object.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data GW190814: Gravitational Waves from the Coalescence of a 23 M$_\odot$ Black Hole with a 2.6 M$_\odot$ Compact Object

Reference 29

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Observation 8fe7fc54-9a93-48c7-ad83-de3da80ddf13 · outbound

This paper cites Abbott et al.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Abbott et al

Reference 30

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Observation cfd46000-9996-4e8f-82fd-faa6af9e8954 · outbound

This paper cites Primordial black holes and their gravitational-wave signatures.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black holes and their gravitational-wave signatures

Reference 31

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Observation b1cdd365-8aa7-4b67-b51a-41bac5cfb372 · outbound

This paper cites Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Gravitational Waves Induced by Scalar Perturbations with a Lognormal Peak

Reference 32

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Observation 606be91c-0685-4e08-89b2-6b65a883b03d · outbound

This paper cites Gauge Independence of Induced Gravitational Waves.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Gauge Independence of Induced Gravitational Waves

Reference 33

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Observation d4cc3899-b9cf-4da0-ac58-38ca954d8a38 · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Semianalytic Calculation of Gravitational Wave Spectrum Nonlinearly Induced from Primordial Curvature Perturbations

Reference 34

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Observation a54207fc-de07-472b-8bdd-a93f1ec697eb · outbound

This paper cites The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The NANOGrav 15-year Data Set: Observations and Timing of 68 Millisecond Pulsars

Reference 35

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Observation a744657b-bf04-4f13-ab37-1a5ede00de42 · outbound

This paper cites The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background

Reference 36

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source=pdf_text observed=2026-08-11T11:03:26.418724Z digest=sha256:fd60da3f7d28d5a07f54724283211f6c72e78170380b1a6a80e54a1c28c33a98

Observation caf7c4be-eb4f-4eb7-b54d-3fe513d8bfbf · outbound

This paper cites The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals

Reference 37

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source=pdf_text observed=2026-08-11T11:03:26.436431Z digest=sha256:1fdf4cac8976573decf0eccab73c9cb6517c67b1ed8970356797a5046aa5c6c8

Observation c071fa1e-1eff-4285-9c00-bbfbbc892a8b · outbound

This paper cites The second data release from the European Pulsar Timing Array I. The dataset and timing analysis.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The second data release from the European Pulsar Timing Array I. The dataset and timing analysis

Reference 38

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source=pdf_text observed=2026-08-11T11:03:26.468981Z digest=sha256:5db4a058546212c932531d2b8aa2ffe4929bfe5d6335e84f2a1eebdaa559773f

Observation 255f623d-b749-42ae-9b07-859db4ee7851 · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array

Reference 39

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source=pdf_text observed=2026-08-11T11:03:26.484159Z digest=sha256:3a9e91d243b60f4ccd9cf2955247ac2a6c9a1dfc10b3b88bc24622fefde7854b

Observation 8b8989d2-c4e7-44a2-bbd8-29a8dd2dc988 · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I

Reference 40

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source=pdf_text observed=2026-08-11T11:03:26.497895Z digest=sha256:65e6d06baa4488138d9f8a3029618cba9b1aacab3d121736c6cb5de54f312849

Observation f52cf996-d93b-49e7-8489-d386c568f684 · outbound

This paper cites The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background

Reference 41

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source=pdf_text observed=2026-08-11T11:03:26.509749Z digest=sha256:2ffd5ac17a1951dff5323a035c38e030d4565e06c96c62a163ce4d81b337518c

Observation 7182f549-fc42-4a7c-8288-3df1ae6d2210 · outbound

This paper cites an unresolved cited work.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 42

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source=pdf_text observed=2026-08-11T11:03:26.528748Z digest=sha256:a15dc7b298aea5c097c16e673da0bd87832dca53b77dc723beef7eed802aaad6

Observation 895a8822-f982-4a97-9157-0a6cca7485de · outbound

This paper cites The NANOGrav 15-year Data Set: Search for Signals from New Physics.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The NANOGrav 15-year Data Set: Search for Signals from New Physics

Reference 43

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source=pdf_text observed=2026-08-11T11:03:26.534353Z digest=sha256:b89a806b394f265dba8c9966443f93e15c9fd149e86ea584df87ab25ace25a69

Observation ee80b59d-8c1c-47b6-a33c-7826db468c28 · outbound

This paper cites What is the source of the PTA GW signal?.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data What is the source of the PTA GW signal?

Reference 44

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source=pdf_text observed=2026-08-11T11:03:26.540869Z digest=sha256:8cb043e5c4d0284ef40415bc7472cb40de0e9fb8aa30591ce5de27516c0b7948

Observation 9e7f325b-674d-4e02-981e-ed4b2f28fd56 · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data NANOGrav Hints to Primordial Black Holes as Dark Matter

Reference 45

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source=pdf_text observed=2026-08-11T11:03:26.547283Z digest=sha256:3942cd728b6f1457bdb8c419157bcd4880f811f5db9b5311157f4dfe203c8a70

Observation 2c2ab613-8604-4869-8efa-2f389fd81a52 · outbound

This paper cites Induced Gravitational Waves with Kination Era for Recent Pulsar Timing Array Signals.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Induced Gravitational Waves with Kination Era for Recent Pulsar Timing Array Signals

Reference 46

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no resolver link, observed 2026-08-11T11:03:26.557813Z

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source=pdf_text observed=2026-08-11T11:03:26.557813Z digest=sha256:65fb968890fc5e59be55d6146854be6de553af3d70339ebae4b927e8ec2a4308

Observation 2fa66e5d-3127-41c6-a216-5992f417f3d1 · outbound

This paper cites PBHs and GWs from $\mathbb{T}^2$-inflation and NANOGrav 15-year data.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data PBHs and GWs from $\mathbb{T}^2$-inflation and NANOGrav 15-year data

Reference 47

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no resolver link, observed 2026-08-11T11:03:26.564731Z

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source=pdf_text observed=2026-08-11T11:03:26.564731Z digest=sha256:7479a94a57c15a630471761dc1ff3e7121d2844a285b04f16781d9fdfdce7577

Observation 45fd54a9-0b6e-4bf3-935b-0d428eadedb8 · outbound

This paper cites Exploring the NANOGrav Signal and Planet-mass Primordial Black Holes through Higgs Inflation.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Exploring the NANOGrav Signal and Planet-mass Primordial Black Holes through Higgs Inflation

Reference 48

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no resolver link, observed 2026-08-11T11:03:26.587928Z

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source=pdf_text observed=2026-08-11T11:03:26.587928Z digest=sha256:8a17e4c7de1de9875d9c3db7503850cd140d186263fe97262cd584ec97ef8f91

Observation 67508219-e0e5-470e-a145-a6af0c85e302 · outbound

This paper cites Scalar-induced gravitational wave interpretation of PTA data: the role of scalar fluctuation propagation speed.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Scalar-induced gravitational wave interpretation of PTA data: the role of scalar fluctuation propagation speed

Reference 49

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source=pdf_text observed=2026-08-11T11:03:26.610022Z digest=sha256:987377cc7d64f64dfe81a680746cae3a7310aadebe1bdffe93e8e9da8f102655

Observation 238afff2-f5a2-4731-befa-0ef77be21c07 · outbound

This paper cites Cosmological Background Interpretation of Pulsar Timing Array Data.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Cosmological Background Interpretation of Pulsar Timing Array Data

Reference 50

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no resolver link, observed 2026-08-11T11:03:26.658772Z

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source=pdf_text observed=2026-08-11T11:03:26.658772Z digest=sha256:3dad3563b907276d1fa69158bc2f0f2dcde0fbdc80a9a7648f8e2918d2c8eada

Observation 97244f4a-79fc-4da8-87a1-a691ba37e5b0 · outbound

This paper cites Curbing PBHs with PTAs.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Curbing PBHs with PTAs

Reference 51

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source=pdf_text observed=2026-08-11T11:03:26.730916Z digest=sha256:2d9cdf955b500604ee10804dd5320e93b42d3b8b50286c366d22d4e973b01ed5

Observation db7bb1fe-fa6d-43de-9162-4288f4cbe9db · outbound

This paper cites Testing Primordial Black Holes with multi-band observations of the stochastic gravitational wave background.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Testing Primordial Black Holes with multi-band observations of the stochastic gravitational wave background

Reference 52

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source=pdf_text observed=2026-08-11T11:03:26.742556Z digest=sha256:c397b6e3d2dca1a31ecaf20c07d9d5693e0252c7f7dfba03f77154c4c585cf8c

Observation 99594394-ddcc-48c0-bd40-ef7aad6a5de5 · outbound

This paper cites Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black holes in the curvaton model: possible connections to pulsar timing arrays and dark matter

Reference 53

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source=pdf_text observed=2026-08-11T11:03:26.748804Z digest=sha256:69a647f240fdb52305dc37dae9518d95b5ddfaab0d9fce74d1aa13d48391e45f

Observation 7b894649-9620-4f6e-a4a5-6a9fff88ac21 · outbound

This paper cites Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial gravitational waves in the nano-Hertz regime and PTA data -- towards solving the GW inverse problem

Reference 54

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source=pdf_text observed=2026-08-11T11:03:26.755000Z digest=sha256:5c3449ba1d7b03b682160ac986c45d55d11463422d28da5a653e63e98505d74f

Observation 48823044-cc8d-4801-a677-812c43d272d9 · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The Detected Stochastic Gravitational Waves and Subsolar-Mass Primordial Black Holes

Reference 55

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source=pdf_text observed=2026-08-11T11:03:26.840710Z digest=sha256:7a015e882c389db20471df6fd42ce0598cfdec85b524a1c8c4ffac61364df0b0

Observation ed319e60-dceb-45a5-a5cb-0e363f57a78b · outbound

This paper cites Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Search for scalar induced gravitational waves in the International Pulsar Timing Array Data Release 2 and NANOgrav 12.5 years datasets

Reference 56

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source=pdf_text observed=2026-08-11T11:03:26.900169Z digest=sha256:65c099d10488f45c2045694070463f7f0ff61206549b6d27d3707bc2c6d8da8d

Observation 5a39c96a-29a2-48a6-9003-5f74f1ae3555 · outbound

This paper cites Signals of merging supermassive primordial black holes in pulsar timing arrays.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Signals of merging supermassive primordial black holes in pulsar timing arrays

Reference 57

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source=pdf_text observed=2026-08-11T11:03:26.908759Z digest=sha256:8b4adbe2ad2c513ff4b2947cf593e36956a31d38a4241c26b0ceb59daf82926c

Observation 50d55a90-17ff-4705-85e2-6bebae12e69c · outbound

This paper cites Scrutinizing the Primordial Black Holes Interpretation of PTA Gravitational Waves and JWST Early Galaxies.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Scrutinizing the Primordial Black Holes Interpretation of PTA Gravitational Waves and JWST Early Galaxies

Reference 58

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source=pdf_text observed=2026-08-11T11:03:26.915159Z digest=sha256:0177fb819b86d0bba3f392f54c46ff0d9ec28f181c7055313d6a73c3cac41ee6

Observation 9df76cf2-93a2-4989-9c97-df768fc22493 · outbound

This paper cites Primordial black holes with an accurate QCD equation of state.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black holes with an accurate QCD equation of state

Reference 59

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source=pdf_text observed=2026-08-11T11:03:26.969022Z digest=sha256:90f4fd14be5adc2cd7b1d851c0ec83ba5da6fb190f4c32dd18b28f25c9e44712

Observation 4ae00252-48c0-49e8-8708-328bbf199c6a · outbound

This paper cites Primordial Black Holes from Broad Spectra: Abundance and Clustering.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial Black Holes from Broad Spectra: Abundance and Clustering

Reference 60

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source=pdf_text observed=2026-08-11T11:03:27.006869Z digest=sha256:0228fd3a7b56665fafd57af0b57c90777ba11890a8194e2822f9793ccd782d39

Observation 0f3fb7c6-be7e-466e-8e60-106690c4b87e · outbound

This paper cites Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Constraints on MACHO Dark Matter from Compact Stellar Systems in Ultra-Faint Dwarf Galaxies

Reference 61

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source=pdf_text observed=2026-08-11T11:03:27.038482Z digest=sha256:fdd3ed8e91beda1fbc693c423215cd6d5eea2dabc84025e640dfdfa3aa5f4d99

Observation 7c80be7b-d84f-4cdf-89d4-422bea59369e · outbound

This paper cites Observational Evidence for Primordial Black Holes: A Positivist Perspective.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Observational Evidence for Primordial Black Holes: A Positivist Perspective

Reference 62

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source=pdf_text observed=2026-08-11T11:03:27.045705Z digest=sha256:d487f343b5e7a1ff5a49b5941b22f8e61c7abf538ed0b91e8c2121cd802614f6

Observation 9d955f69-69a9-45ce-9507-d77a79087289 · outbound

This paper cites A boosted gravitational-wave background for primordial black holes with broad mass distributions and thermal features.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data A boosted gravitational-wave background for primordial black holes with broad mass distributions and thermal features

Reference 63

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source=pdf_text observed=2026-08-11T11:03:27.053728Z digest=sha256:5f30b9e2720b3004cf58ab001643d92e0b848e887f81582c82b9f74f9ff10ef8

Observation 0704c22f-45eb-4bea-bc70-9e53839f8a0e · outbound

This paper cites Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Probing the inflaton: Small-scale power spectrum constraints from measurements of the CMB energy spectrum

Reference 64

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source=pdf_text observed=2026-08-11T11:03:27.061074Z digest=sha256:e1dea0032ff0303ef10a143585b4afb64a0f6f8a1cb1e78b57b37c1f4ee919be

Observation 06d13848-fb5a-4158-b11f-41cf5b98f190 · outbound

This paper cites The International Pulsar Timing Array: Second data release.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The International Pulsar Timing Array: Second data release

Reference 65

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source=pdf_text observed=2026-08-11T11:03:27.103351Z digest=sha256:a5fbc4ea3dff47b7cf5ead380fbe374f6dff67dc5904195acf34405edf43755e

Observation 8d11d81b-6802-43d9-a283-b8bcb5fb4003 · outbound

This paper cites Bringmann, P.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Bringmann, P

Reference 66

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source=pdf_text observed=2026-08-11T11:03:27.177103Z digest=sha256:2952038e397f1e5ee1c4b786954f156eb110d0387f5b5fae2e91b6946088cd3f

Observation 9112f994-8d0a-4019-a30d-9826a2820fc6 · outbound

This paper cites Gravitational Waves from Primordial Black Hole Mergers.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Gravitational Waves from Primordial Black Hole Mergers

Reference 67

Resolution
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no resolver link, observed 2026-08-11T11:03:27.281115Z

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source=pdf_text observed=2026-08-11T11:03:27.281115Z digest=sha256:c7df1f2ea076d8d4fa1662473835b9ac74c7bd8b0d020fa0aac303b7dcafde7b

Observation 1f1bb612-6ee1-4780-9186-bb567b902515 · outbound

This paper cites On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data On the merger rate of primordial black holes: effects of nearest neighbours distribution and clustering

Reference 68

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source=pdf_text observed=2026-08-11T11:03:27.339366Z digest=sha256:cf0790a5e1f2b89b4841f681ff101c3a348104cef818bc1eb663e19544c412b5

Observation a730a108-cca7-4cf4-8f2e-79e7badc1a32 · outbound

This paper cites The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The primordial black hole formation criterion re-examined: parameterisation, timing, and the choice of window function

Reference 69

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no resolver link, observed 2026-08-11T11:03:27.359147Z

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source=pdf_text observed=2026-08-11T11:03:27.359147Z digest=sha256:abcfdda8ce2e00b884928ebd6f06fa07eba796fa515c3284a6796a717642cf66

Observation efc4ea2c-bbe8-4d83-b5df-84f3f872b9ec · outbound

This paper cites Cosmic Conundra Explained by Thermal History and Primordial Black Holes.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Cosmic Conundra Explained by Thermal History and Primordial Black Holes

Reference 70

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source=pdf_text observed=2026-08-11T11:03:27.365184Z digest=sha256:1c774bfa4a7136c1ddf5024dabb0173a56ab36d2eb82a3f87a175481c685ab3c

Observation 2933c0f6-d3bd-4f21-a670-8fd6a4f5309a · outbound

This paper cites an unresolved cited work.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 71

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source=pdf_text observed=2026-08-11T11:03:27.371796Z digest=sha256:3f204b1197961cce0fccf7a9b8e79f1f7f2b20ea0c9ddd57438b6b7514c79658

Observation 2d883b3c-42c3-4f41-8f2c-0a4b0d94eeac · outbound

This paper cites an unresolved cited work.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 72

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unresolved
no resolver link, observed 2026-08-11T11:03:27.378663Z

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source=pdf_text observed=2026-08-11T11:03:27.378663Z digest=sha256:ec2814fb4270d87da293774dfc830a828471d0211965cccd38743531309b3023

Observation 4fdd7161-da80-47af-be4e-04709336a539 · outbound

This paper cites The power spectrum on small scales: Robust constraints and comparing PBH methodologies.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The power spectrum on small scales: Robust constraints and comparing PBH methodologies

Reference 73

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source=pdf_text observed=2026-08-11T11:03:27.383924Z digest=sha256:eff4f5eabbe02d130eeb6da240ea1fb4ede8f83069859252f211285d87c20964

Observation 8a467882-3bed-425f-9691-f5ed86380583 · outbound

This paper cites an unresolved cited work.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Unresolved cited work

Reference 74

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source=pdf_text observed=2026-08-11T11:03:27.483672Z digest=sha256:7f816d15d296724f16feecb29402241fdf739bb248262ad572bca008d09e1133

Observation 19b8302b-79fd-4c01-9dbc-8d18e0ce615d · outbound

This paper cites Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Near-Critical Gravitational Collapse and the Initial Mass Function of Primordial Black Holes

Reference 75

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source=pdf_text observed=2026-08-11T11:03:27.577300Z digest=sha256:3ea23b067ec4ddc693e82b5e45a70ffd2d3dc271ffb804d9c28ab02487865fe9

Observation 78f81ea6-69c8-4bda-8a18-bf9d361a3586 · outbound

This paper cites Dynamics of Primordial Black Hole Formation.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Dynamics of Primordial Black Hole Formation

Reference 76

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source=pdf_text observed=2026-08-11T11:03:27.618021Z digest=sha256:c2a2b3d6b88f39fd9482fed26287697c1bee0ee6dfadeb9d976582172804f142

Observation 9527375d-4b48-43d0-8c76-0cf64342ba7b · outbound

This paper cites Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Primordial black hole formation and abundance: contribution from the non-linear relation between the density and curvature perturbation

Reference 77

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source=pdf_text observed=2026-08-11T11:03:27.647228Z digest=sha256:c99102ecac5be7fbacbe1a512c666344c782e13b87f0d9f6f3098e67773137b0

Observation a8170f64-14f7-4dfe-8d41-d0f64281b594 · outbound

This paper cites From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data From inflation to black hole mergers and back again: Gravitational-wave data-driven constraints on inflationary scenarios with a first-principle model of primordial black holes across the QCD epoch

Reference 78

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source=pdf_text observed=2026-08-11T11:03:27.667402Z digest=sha256:f1085cfbe42c698aec5dfc22009454b02d362132a83205ed211b6c158cc80a66

Observation e6a049d1-03cd-4f36-9f70-311181f3611d · outbound

This paper cites A universal threshold for primordial black hole formation.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data A universal threshold for primordial black hole formation

Reference 79

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no resolver link, observed 2026-08-11T11:03:27.674502Z

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source=pdf_text observed=2026-08-11T11:03:27.674502Z digest=sha256:40462ae0737d0057b2b0f810665a995e5005f38a4bd39cae1a3c8b975af0a028

Observation 1164e1d9-27c1-4c43-b60a-7622b201ba51 · outbound

This paper cites Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Threshold for primordial black holes: Dependence on the shape of the cosmological perturbations

Reference 80

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no resolver link, observed 2026-08-11T11:03:27.680851Z

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source=pdf_text observed=2026-08-11T11:03:27.680851Z digest=sha256:18b90b21e87c4ed5556d75db0de0f0cdf7b0951e0a1562042b5fae0c18bef082

Observation ee96fbcf-d22f-4c56-968c-12b4733c8838 · outbound

This paper cites The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 81

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no resolver link, observed 2026-08-11T11:03:27.687014Z

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source=pdf_text observed=2026-08-11T11:03:27.687014Z digest=sha256:3a0e50e6a6a79e079c3ec29a64d8a69ed996598a7b8f54a40abec9f005762261

Observation 17c0e2f9-a544-4d99-823d-585cd1b48301 · outbound

This paper cites Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Simulations of PBH formation at the QCD epoch and comparison with the GWTC-3 catalog

Reference 82

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no resolver link, observed 2026-08-11T11:03:27.693163Z

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source=pdf_text observed=2026-08-11T11:03:27.693163Z digest=sha256:ca23ea82c757ac0055725cb73c059b982f58a92f6c47e989982b549205152349

Observation 39463385-d2f0-43cd-915e-d39167a0ab36 · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Did NANOGrav see a signal from primordial black hole formation?

Reference 83

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source=pdf_text observed=2026-08-11T11:03:27.699037Z digest=sha256:0af6087860c871384fab432a96c40c2f4ea3f37e316c7bd044652c17dc090a62

Observation 3051a149-7b9e-4d02-a8f4-79f030815258 · outbound

This paper cites Scalar induced gravitational waves review.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Scalar induced gravitational waves review

Reference 84

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source=pdf_text observed=2026-08-11T11:03:27.756405Z digest=sha256:d3804b3ded62e97adccc64efd7be5c5fc49c84082b75866e573ff55b002cbf77

Observation ae09dbc2-1e99-42da-8276-f70b70720e7f · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The cosmological gravitational wave background from primordial density perturbations

Reference 85

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source=pdf_text observed=2026-08-11T11:03:27.850979Z digest=sha256:f1bfb8276f0f781ece9e4e3805c7d8d41349abe7a82d9175bfa5e97a7d06c826

Observation 890d3a51-db6a-4f6f-9a61-019236f4e518 · outbound

This paper cites Bugaev and P.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Bugaev and P

Reference 86

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verified exact
doi, observed 2026-08-11T11:03:29.538795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-11T11:03:27.926835Z digest=sha256:f592d31d7ee1826cec86f31a976d93276ad7bc6517eaf25e8ff8689754030dd6

Observation 042682c9-7e3b-48d7-b95e-0bcebab7f541 · outbound

This paper cites Observable Spectra of Induced Gravitational Waves from Inflation.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Observable Spectra of Induced Gravitational Waves from Inflation

Reference 87

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source=pdf_text observed=2026-08-11T11:03:27.951118Z digest=sha256:9fa1bc13f37020d3e908382636ab6247162417cece530f54ec9c7a336b4417be

Observation 2e1270db-83c8-4c8b-80e3-d6df92f7a03c · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Gravitational Wave Spectrum Induced by Primordial Scalar Perturbations

Reference 88

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source=pdf_text observed=2026-08-11T11:03:27.957440Z digest=sha256:3f5ac8ead3f8a190b2d5c33419b22030eead779542e325ca84e958631a2c8a46

Observation 95a32653-c396-47ea-8049-a9db8b3a15f6 · outbound

This paper cites Induced Gravitational Wave interpretation of PTA data: a complete study for general equation of state.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Induced Gravitational Wave interpretation of PTA data: a complete study for general equation of state

Reference 89

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source=pdf_text observed=2026-08-11T11:03:27.964454Z digest=sha256:eff192c61983c1fc8ffc9405acd021ed56c7bb5c90717d40dba3c62a547b3c67

Observation cb2192dd-a35c-41d3-a808-6e5c7036b4c0 · outbound

This paper cites The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data The recent gravitational wave observation by pulsar timing arrays and primordial black holes: the importance of non-gaussianities

Reference 90

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source=pdf_text observed=2026-08-11T11:03:27.971096Z digest=sha256:4295314e6419ebfe5cffabda94de137779efd0f61c42cc052e0d4fc8f731a8d3

Observation 64396a73-7d32-47fb-ba67-f230f57ab96b · outbound

This paper cites Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Implications for the non-Gaussianity of curvature perturbation from pulsar timing arrays

Reference 91

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source=pdf_text observed=2026-08-11T11:03:27.978034Z digest=sha256:137a575f3deeedd2cd9de21e027ece4d3fb03e5b4f21d84939a6a78b6212be12

Observation da073ee0-f51b-42fd-a84e-6b444525b385 · outbound

This paper cites Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Implications of Pulsar Timing Array Data for Scalar-Induced Gravitational Waves and Primordial Black Holes: Primordial Non-Gaussianity $f_{\mathrm{NL}}$ Considered

Reference 92

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source=pdf_text observed=2026-08-11T11:03:27.985355Z digest=sha256:3554e1ab79ec856a220fb25ba2f337254695be2273c745449845d4177000987f

Observation ace2cd02-a28d-4051-8731-eb8c183faffd · outbound

This paper cites Full analysis of the scalar-induced gravitational waves for the curvature perturbation with local-type non-Gaussianities.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Full analysis of the scalar-induced gravitational waves for the curvature perturbation with local-type non-Gaussianities

Reference 93

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source=pdf_text observed=2026-08-11T11:03:27.992218Z digest=sha256:eaa20d371adce9dc41eb0f75edc6a3081a6865239fca2f25a23d4809b8b099f6

Observation ff51acec-1389-439b-8af7-aa473a3f04ce · outbound

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data A Cosmological Signature of the SM Higgs Instability: Gravitational Waves

Reference 94

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source=pdf_text observed=2026-08-11T11:03:27.997789Z digest=sha256:29c9744624a1c90f4004b398ce52f64788b9bc0f542b885521df1d0576d7e26d

Observation e3c88b9e-0462-4f03-949a-506fba853cf5 · outbound

This paper cites Gravitational Waves from Coalescing Black Hole MACHO Binaries.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Gravitational Waves from Coalescing Black Hole MACHO Binaries

Reference 95

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source=pdf_text observed=2026-08-11T11:03:28.058380Z digest=sha256:cde9beba4765f5499389327d98b7a1f0f0f058250862f0ce9121a79fe31dec07

Observation cf859fc4-4a5e-46e2-b319-6a79f878602b · outbound

This paper cites Black Hole Binary Formation in the Expanding Universe --- Three Body Problem Approximation ---.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Black Hole Binary Formation in the Expanding Universe --- Three Body Problem Approximation ---

Reference 96

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source=pdf_text observed=2026-08-11T11:03:28.129401Z digest=sha256:d00c8830b501f0021e8a2a93a58c7f2551de2d3eab2aa19f512910fe93ca860f

Observation d79753a8-32f8-4251-ba36-7d3bd3dd7348 · outbound

This paper cites Formation and Evolution of Primordial Black Hole Binaries in the Early Universe.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Formation and Evolution of Primordial Black Hole Binaries in the Early Universe

Reference 97

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source=pdf_text observed=2026-08-11T11:03:28.207688Z digest=sha256:255d2de8d1e349c3d3641840996a4d54c78574c3ee5b27bb7b13935183beffd9

Observation d3625578-b559-444f-8dda-df91604f4e0f · outbound

This paper cites Lower bound on the primordial black hole merger rate.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Lower bound on the primordial black hole merger rate

Reference 98

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source=pdf_text observed=2026-08-11T11:03:28.249130Z digest=sha256:650c2695865c3babce4ba82e6aad036a86522f12c514cbac5ed6d0958c3f0a02

Observation c76371d7-c6f2-44ce-b838-ba1a664987de · outbound

This paper cites Small-scale structure of primordial black hole dark matter and its implications for accretion.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Small-scale structure of primordial black hole dark matter and its implications for accretion

Reference 99

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source=pdf_text observed=2026-08-11T11:03:28.256287Z digest=sha256:b74b8966d333bff1426094b72d8046ffa9a0fd22959d73736a28a1657420a494

Observation 9f9f50ba-eb72-4403-b85f-f5295aa97ccb · outbound

This paper cites Meszaros, Primeval black holes and galaxy formation, Astron.

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data Meszaros, Primeval black holes and galaxy formation, Astron

Reference 100

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source=pdf_text observed=2026-08-11T11:03:28.267800Z digest=sha256:eb7524fa4870546cdb78db827453e1a5808b52677dde40a8f3959c1e041c9e94

Pith citing papers

Observation f4af116c-a5c9-42b0-bc34-5fa948ecf6e5 · inbound

A fast deep-learning approach to probing primordial black hole populations in gravitational wave events cites this paper.

A fast deep-learning approach to probing primordial black hole populations in gravitational wave events Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data

Reference 31

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verified exact
local_arxiv, observed 2026-08-07T15:23:04.675374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

source=pdf_text observed=2026-08-07T15:23:01.485732Z digest=sha256:dcb6f3f60f23b85cacd7b262dff9ebaf63de2b1a10432e9544a08a5ad1ce1dbf

Observation 47394c88-80f6-4ca5-9c0c-029eff1d009b · inbound

Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer cites this paper.

Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data

Reference 68

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no resolver link, observed 2026-08-05T15:54:09.710637Z

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source=pdf_text observed=2026-08-05T15:54:09.710637Z digest=sha256:115835ecfc1b50c1e1da0beffa4df1130595bf086603d1df22735967388f38a3