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Paper Citation Record · LEDGER

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data

As of 11 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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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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Observation 2a88449a-e409-40d5-8f22-c206f2944ca3 · outbound

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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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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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:a36f81a580ffedc70bfb5071a6257c8fc620f418d8d73bf4ad4cf132318553bf

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=sha256:8a917aa6c7dda08535a6f634c60502d8fbcd42ab719080c85de7612bf676fe91

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=sha256:3d801fe53beec645a86151e6ab8b8e94f6cd7673871899740997d4adb005914b

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=sha256:03e617c41c3d851b49303174ec0a46acf00cf4a5e087fa69c787ffafdea3fe46

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:dd4c565572b97c4de883ecd23de763e8bebd085fb3d44d0d2b1c09970f8037ad

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=sha256:0b736470fe4191c2de4471e042f11fa8adb11f988c19b7697f6bd53e7ca9164e

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:d81e5b360121189746a830bc084f4208bcb9623c6bb1781a3c98935c368ab9d2

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=sha256:3a2b29296f4f1ec522a156e1aa493368693866e0f65a4961f04b8dae9c4c3c55

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=sha256:651b6b67031d94a51c155c0683a246aff4a4445e2713ac84168075edde719509

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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no resolver link, observed 2026-08-11T11:03:26.547283Z

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source=pdf_text observed=2026-08-11T11:03:26.547283Z digest=sha256:fdc8af539d757be4b431e531652c0f7fdbfedf661da4cc4fac56c3448a145e6b

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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unresolved
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=sha256:13a29f7d5ea541c07e74afa2938328f61abc959afe7c8eb77c1c4b22cf362f2e

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=sha256:2886ca0e2bae8e524a1e7d745b6b2fa972f71c9048a94c824dfed9fdb95940cd

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:cbb7916c0f9b91c2a5a2943f6884439ddb9e4a12801dc3e176b1ffa65b5e0e8e

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=sha256:762f678df05c35a1ee667ba896c0b3bb5bb2b18b21a218dd5802bbd95911cd39

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=sha256:59d92478250229fc6c563eede6741325016ab7cd6ef1872a47762245547842b1

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:eff475a1584cf562c6c45084a9b11f905d4c17c3f405264e44cc2dd6d2f77bb2

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:e1baef78f200d1a3bb27e24537d0e9e0038bae26792f3bb38e93736acd009a52

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:be3ec984cde076ddaec626e8a7f7552df6f1ca3fc0f3c618456bd0d544157941

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:ee2d63b04ea77198b9e020d009daf5aae6f87548fbb1909a0b585599b2fb128c

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=sha256:5b3a26962d554c339de51a9f9a40230ca6e9abd34eab355b6c11f1f5b8f3df60

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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no resolver link, observed 2026-08-11T11:03:26.900169Z

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source=pdf_text observed=2026-08-11T11:03:26.900169Z digest=sha256:9edd0e71ee219695e31d3de716839f13ab44af46ccdd5c5cb4071374516659a4

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:d06edb5b7058fc592707da0d44c7bbcb27f92e578b415495e2c59c330ea24e59

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:ee47b902d4ea2251da30e6594d7b66e513cf9dd1f291dd31fb55628ca7fa0f97

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:a60c05a13e3698ecd052ae3d2f4af99b5dbbb2e2b9f47ff9bddd370fb820b975

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=sha256:4f999c5d1c3148493a084f6f3afc9be6ace273f0184be61dfdb2ed2ded69b360

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=sha256:9b8e3dc50e3c7f81f9916a1ea497dea0654bb9e35f2a7ed85bccd859dabcd5d2

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=sha256:0adc25e5adab607effc06ad59e33ca7a73b03a2afcaa314a5d1889a94a51e98d

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:e23b5a9c629647280aa21062fc03ed8791336300eee282819f7699d2edbdded6

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:b7a3b392662ef00a7e4b4ab500627d0e1652a27406161d89f532a1c0e85d3857

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=sha256:2b99427b5b44effe131cdca1017049407d6217143be0793c46c742037cb79c9a

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:aee5f6f926689e0ced6c24ea1415e14cc18b7f053950653cb1e842200cd08486

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=sha256:58ddf1192329133d7ab7ecbcf4a0ef4285cec7889c29e1d17a7504033e1b28fa

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:c2ffc5bc17a91bd8a595400a9e832070a430d4a7f20c6b9bbb6b623045bc6147

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=sha256:83b8d2f0951119f5b5a97e7c8a1426101b4c58e1136dba855d25b15daa54beca

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:cded26361ef7b89d6596281c516cda4ebf271d4049ac819927bcb4d6bc3f5273

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:c00a6c83813c11d1c5981b6326edaeb6bed4069be89d0bfcb0e719fbe103d225

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

Resolution
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:fcc4e37ac1eb99131561829d67459b16aa38254b78f6b9e2682b9e081c8bbd78

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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unresolved
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source=pdf_text observed=2026-08-11T11:03:27.383924Z digest=sha256:f92925ac3877fa8a80931b2a7c002cc1b39a99203e9c4f2b9a662e30c90df3d9

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=sha256:90cbbe5fb600ffd58fc92a51e159872652d351bc190300b2280a5440cbc554bb

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:e0f9414e3b7b2abe594a57d1912f3cac0f756e03c9dbc9ecd72091e286ecda66

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=sha256:31d668226634f9822a6f641477d75b91f31ddcaca4c0dce6aaa0c6277a111be1

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=sha256:1947a55717f7115015530c2f361701a6d13164d06d4e04fa7db753e6a639a7a3

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:a78b675378d9adceb984c6d7abbc22a425db3529835444e25637f8000d5d6d4b

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=sha256:1c8457cc7f02d57eaa7c6af54a439ff2fc2dbc3d76bb6236df8a78c20a666767

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=sha256:129e545b1e9c6e145c1f3ace476d72e3ba7bc34af92f52154ac4567e02281ca4

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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unresolved
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=sha256:69c8245a859e2c64ea0da2dc53548536e5f1d8b5a572603b7f1b36ddfe24211d

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:ebf47af9734fdd1ea00923b389377a9b296a8161c49e46db657d364a2766db5d

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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no resolver link, observed 2026-08-11T11:03:27.699037Z

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source=pdf_text observed=2026-08-11T11:03:27.699037Z digest=sha256:c9110f72b3937b24f819ecbf2a3e5a0f4425547f89c28128ad33f7a351f0ee74

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=sha256:0c780f4b6e376afb75773cdadcd820632b8aee55457eb81813991963306dc398

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=sha256:40161b563f2fb13e89b5749f83f54f09e3f7095e42ac65174b5c57e94646784d

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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-11T11:03:27.926835Z digest=sha256:cfe1dc631db8fd891d367775bb7a57c8cca875682daa188ebd826ca9efa84bdf

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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no resolver link, observed 2026-08-11T11:03:27.951118Z

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source=pdf_text observed=2026-08-11T11:03:27.951118Z digest=sha256:8654ebfe3e7a679b194376ed749f797598d79577882d964ef1a311d918e90231

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:d79656ecf51bbb9020f0f142c380cc59257acc99ffb175a67e2790d16b75455a

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=sha256:5e6f2335d767bbe342c5558c8248163d3e36f7d6a5384ece85c4210c9ed1c84d

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

Resolution
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source=pdf_text observed=2026-08-11T11:03:27.971096Z digest=sha256:5e2fe8b39a07c7cb05f37a8e7e026b1bf592040355db0a134aa6fecf1ffb015c

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:a319a64fbc887eac168840fcc06b96d823ab6296b778965be673082cf1526550

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:d41ab5216d2a76af4bdf9f758037921232d115827806365b2027351d428f16d0

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=sha256:8d0cf9fb10e4fcb7e454151e60071928210e66772e061eb7acad7b34221133c4

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:d523795be211ff0d7a84c26218733e9850a04b2c83895153b8ecc342079d6813

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=sha256:20ac0dbe7d8f9b0f0d2d6472090ae2ed420a85e8f1c009312c14de5299a4ce81

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=sha256:53353a3650b41816e70d0d51ddf37db07242c4355766ed1c03e8bb6e4a1897c0

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:a7fdd43a031b37dada87aebec9948552bde6ee0e4bf45e1e3934d6b7fd70b83b

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=sha256:98cdaf6f679140c473a58b898f159215bfa8c4a48987d2ad9c8483e576a5acaf

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=sha256:76e09ae8f849e5da5f30029be76245817e1b8b48fd0f26f5df7cc00d62a9291c

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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no resolver link, observed 2026-08-11T11:03:28.267800Z

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source=pdf_text observed=2026-08-11T11:03:28.267800Z digest=sha256:aa49ad98bc9b7acdfc7157f65bfeccecd954d23dc3e8b0071639bd7a20f82eed

Pith citing papers

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

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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

Resolution
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 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-07T15:23:01.485732Z digest=sha256:7683aef033341772cc962c633de3aa111de7122ca703474c86bd3112f20149a9

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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source=pdf_text observed=2026-08-05T15:54:09.710637Z digest=sha256:f8a73da7237d2b567a80b60bb0c17bc1d29ae6e40d5788f3501c2da87412a626