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Paper Citation Record · LEDGER

Threshold of primordial black hole formation

As of 5 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 29 inbound Pith citation observations for arXiv:1309.4201.

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

pith.paper-citation-record.v1
1309.4201 v4

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measured 0 of 0 reference resolution

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Source: paper_references, paper_reference_links

measured 29 of 29 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-05T06:32:48.257954+00:00

measured 29 of 29 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-03T13:03:08.135230Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T02:26:43.019090Z

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External citation measurements

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Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 1cd82357-f245-48f4-bfe5-a18e8f1376f4 · inbound

Constraints on Primordial Black Holes cites this paper.

Constraints on Primordial Black Holes Threshold of primordial black hole formation

Reference 32

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local_arxiv, observed 2026-05-15T02:52:31.955689Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 218552b4-ec8c-459a-9b5b-14db325f9f6f · inbound

Primordial Black Holes as Dark Matter: Recent Developments cites this paper.

Primordial Black Holes as Dark Matter: Recent Developments Threshold of primordial black hole formation

Reference 66

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local_arxiv, observed 2026-05-16T12:15:13.384958Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation eb3f4aa5-eb82-4340-855e-e233a67276a4 · inbound

Scalar induced gravitational waves review cites this paper.

Scalar induced gravitational waves review Threshold of primordial black hole formation

Reference 213

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local_arxiv, observed 2026-05-17T07:59:16.774596Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation d0b967fe-feb5-454c-8fb9-ce9250051b82 · inbound

Numerical simulations of density perturbation and gravitational wave production from cosmological first-order phase transition cites this paper.

Numerical simulations of density perturbation and gravitational wave production from cosmological first-order phase transition Threshold of primordial black hole formation

Reference 77

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verified exact
local_arxiv, observed 2026-05-23T02:35:19.308744Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 1d06a951-bc08-44df-8cd6-e2fff6594ed9 · inbound

Angular momentum of vacuum bubbles in a first-order phase transition cites this paper.

Angular momentum of vacuum bubbles in a first-order phase transition Threshold of primordial black hole formation

Reference 17

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local_arxiv, observed 2026-05-22T16:04:58.612309Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T16:02:44.623476Z digest=sha256:801a766f1341c6db685d0f56cd5d523d11aa9af8a3914a53c5415142eff21c41

Observation f65f858a-a4bb-433c-87fe-3fb39cc4f503 · inbound

Primordial Black Hole Formation in $f(R)=R+\alpha R^2$ Gravity: Perturbative and Non-Perturbative Analysis cites this paper.

Primordial Black Hole Formation in $f(R)=R+\alpha R^2$ Gravity: Perturbative and Non-Perturbative Analysis Threshold of primordial black hole formation

Reference 48

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unresolved
no resolver link, observed 2026-08-03T13:03:08.135230Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T13:03:08.135230Z digest=sha256:2edcd227681156bb47985707df82fa3300095ec64ef6dc35f524c389c461958f

Observation 4048703f-2566-4f4a-9fb8-a5974eb908d6 · inbound

Numerical simulations of primordial black hole formation via delayed first-order phase transitions cites this paper.

Numerical simulations of primordial black hole formation via delayed first-order phase transitions Threshold of primordial black hole formation

Reference 123

Resolution
unresolved
no resolver link, observed 2026-08-03T06:48:44.992340Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T06:48:44.992340Z digest=sha256:e6278d23a0613c4978f713c768f6debf9de4ce3f1c4123597d629466238c7081

Observation 83885a9d-5fa5-43d1-b999-333e89036eff · inbound

Primordial Neutron Stars cites this paper.

Primordial Neutron Stars Threshold of primordial black hole formation

Reference 33

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verified exact
arxiv_id, observed 2026-05-11T08:16:02.450779Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T16:44:01.480935Z digest=sha256:99273b6ce7da35cc8afa5b3b8cf19abb97a09a76fd07f06d0688e0b8dd7b8ece

Observation 96fd1bbe-7c78-49b1-b50b-d8e6165a175a · inbound

In-depth analysis of the clustering of dark matter particles around primordial black holes. Part III: CMB constraints cites this paper.

In-depth analysis of the clustering of dark matter particles around primordial black holes. Part III: CMB constraints Threshold of primordial black hole formation

Reference 42

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arxiv_id, observed 2026-05-11T12:06:03.280661Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-10T04:11:35.076478Z digest=sha256:28b27ec459ec1fa95a3b0104781b1df762217bfcf00a2b3ea916a36539de6c6a

Observation 9c62147b-c2ca-4254-9bbe-73d17171d70b · inbound

Precision Analysis for $\boldsymbol{H_0}$ Using Upcoming Multi-band Gravitational Wave Observations cites this paper.

Precision Analysis for $\boldsymbol{H_0}$ Using Upcoming Multi-band Gravitational Wave Observations Threshold of primordial black hole formation

Reference 54

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verified exact
arxiv_id, observed 2026-05-11T20:16:08.106936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-08T09:54:06.299624Z digest=sha256:a6e4e9774d6451da5edae9817a65571f2c1d1eb7e118253e28ec2aace9a0edd2

Observation 36fea3db-4969-4023-94d4-37ca525534c8 · inbound

Reviving primordial black hole formation in slow first-order phase transitions cites this paper.

Reviving primordial black hole formation in slow first-order phase transitions Threshold of primordial black hole formation

Reference 6

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verified exact
arxiv_id, observed 2026-05-13T01:42:04.415555Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-13T01:33:38.156765Z digest=sha256:45b670c82e255c11a4302aafd5e2c2acc84879a206475749ca8af271cf40591e

Observation 81575196-85ae-4350-818c-e5b1777c54a3 · inbound

Reviving primordial black hole formation in slow first-order phase transitions cites this paper.

Reviving primordial black hole formation in slow first-order phase transitions Threshold of primordial black hole formation

Reference 6

Resolution
verified exact
local_arxiv, observed 2026-05-22T10:14:47.662807Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T10:13:54.235599Z digest=sha256:de268f65df0e98cf1ac9da174518b5d65e5d95838dd0df843fd74a27dd5de0e6

Observation 183d2c49-26cb-4ce2-8d69-a2e53657519f · inbound

Inflaton Accretion onto Primordial Black Holes During Reheating cites this paper.

Inflaton Accretion onto Primordial Black Holes During Reheating Threshold of primordial black hole formation

Reference 18

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verified exact
local_arxiv, observed 2026-05-20T02:12:58.229789Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-20T02:12:14.517837Z digest=sha256:625a8ef017ff588ffd6830e8411445444321484e37d4e686c94c727274f0c191

Observation cab4c2de-fda8-49ef-be0c-ed4dc8722ba5 · inbound

Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions cites this paper.

Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions Threshold of primordial black hole formation

Reference 41

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verified exact
local_arxiv, observed 2026-05-22T03:14:32.924138Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-05-22T03:11:16.065628Z digest=sha256:75716005fa08a8238e7dc3a17dd6fad0ba6ce991d34dbf7c869328f1fd636978

Observation e7ee1840-741b-421e-9c91-ef855edb2984 · inbound

Signatures of loop quantum gravity in primordial black hole cosmologies cites this paper.

Signatures of loop quantum gravity in primordial black hole cosmologies Threshold of primordial black hole formation

Reference 55

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verified exact
local_arxiv, observed 2026-06-29T10:23:17.514567Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-29T10:23:00.803526Z digest=sha256:1dca54e782690ac0cd4dfbcde5fa081ac0f3d30750a7ee09772295d4f0709ab7

Observation 6b265fbd-aa62-4cf9-a3e8-fb4d19ce92bc · inbound

Carr criterion and mass gaps in non-singular primordial black hole formation cites this paper.

Carr criterion and mass gaps in non-singular primordial black hole formation Threshold of primordial black hole formation

Reference 36

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local_arxiv, observed 2026-06-29T05:53:09.001952Z

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No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-29T05:48:54.583585Z digest=sha256:22a61aca29f9fba7b65982717c44e7a632cdb0cf99329afcc006e551d5c13a89

Observation ff7d6a8c-0fbe-4ae1-a42c-4a1e245d02f8 · inbound

Primordial black holes spin from cosmological first-order phase transitions cites this paper.

Primordial black holes spin from cosmological first-order phase transitions Threshold of primordial black hole formation

Reference 34

Resolution
verified exact
local_arxiv, observed 2026-07-02T00:06:24.823876Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-28T13:35:11.879801Z digest=sha256:ab0edb23b114ea8e3fe2b6d0594aafe3daf2ea7fa30e113903cc5082f3325735

Observation e02f0cce-9cba-4f47-9068-89a28c6826da · inbound

Primordial black holes spin from cosmological first-order phase transitions cites this paper.

Primordial black holes spin from cosmological first-order phase transitions Threshold of primordial black hole formation

Reference 28

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verified exact
local_arxiv, observed 2026-06-30T11:04:37.442022Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 5488127c-9a58-4df4-abff-8b382d6280c4 · inbound

Primordial Black Hole Triggered Type Ia Supernovae II: Comparison with Supernova Remnants and Galactic Chemical Evolution cites this paper.

Primordial Black Hole Triggered Type Ia Supernovae II: Comparison with Supernova Remnants and Galactic Chemical Evolution Threshold of primordial black hole formation

Reference 121

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verified exact
local_arxiv, observed 2026-06-27T22:41:24.117668Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=arxiv_source observed=2026-07-11T11:50:26.030339Z digest=sha256:50021d285ce56e9ebf923339e66dc6a0025584de8ddea99fc95a53d97ff0477c

Observation 7c07c4ad-3ec6-495b-892b-fa422333dee5 · inbound

Reheating as a variational probe of cosmological observables cites this paper.

Reheating as a variational probe of cosmological observables Threshold of primordial black hole formation

Reference 31

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verified exact
local_arxiv, observed 2026-07-04T02:39:24.961375Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-26T19:31:45.819162Z digest=sha256:9a3e0652364800a220c72bb386678bddd715972e4bf91b52df68c2489aa11583

Observation 27570f76-c855-4ee1-b7a2-f50a7356e9db · inbound

Primordial black hole formation in bulk-viscous cosmology cites this paper.

Primordial black hole formation in bulk-viscous cosmology Threshold of primordial black hole formation

Reference 92

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verified exact
local_arxiv, observed 2026-07-04T13:49:51.816733Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-06-26T04:53:04.705975Z digest=sha256:3e58e912b9dc69799d1f36aca408df5249699f8bb4a0d8393518117819f74682

Observation 20eafe34-6e83-4950-a1d4-43372534f31a · inbound

Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes cites this paper.

Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes Threshold of primordial black hole formation

Reference 55

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verified exact
local_arxiv, observed 2026-06-30T14:34:45.839306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 8c21152c-0737-4dc2-aa0b-cb8e06a5aaa3 · inbound

One Feature, Three Clocks: Phase-Locked Gravitational Waves, Primordial Black Holes, and Non-Gaussianity from Periodic Warm Inflation cites this paper.

One Feature, Three Clocks: Phase-Locked Gravitational Waves, Primordial Black Holes, and Non-Gaussianity from Periodic Warm Inflation Threshold of primordial black hole formation

Reference 65

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verified exact
local_arxiv, observed 2026-07-01T11:25:43.543565Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

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Observation 6460a5f9-5656-4943-ae81-2b359324a166 · inbound

PBHs and GWs from Scaling Monopoles cites this paper.

PBHs and GWs from Scaling Monopoles Threshold of primordial black hole formation

Reference 53

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verified exact
local_arxiv, observed 2026-07-01T11:35:43.011533Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-01T04:20:36.989748Z digest=sha256:d5518c39fb098f2d50b134646217574ad9c7ecd73eb756dcd87a59ae4ab6097f

Observation 1ce1449e-d353-45d0-a58c-a7eb44bcadca · inbound

Lattice study of primordial black hole formation in bumpy axion inflation cites this paper.

Lattice study of primordial black hole formation in bumpy axion inflation Threshold of primordial black hole formation

Reference 84

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verified exact
local_arxiv, observed 2026-07-03T07:07:44.118199Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-03T07:06:08.163074Z digest=sha256:24ef20250bc4f8bcd744d25ef64f4b1290c5ba196928e59d8592fe58aa32e09d

Observation bb9660cf-9d93-4532-afb2-6c2a909b55b7 · inbound

Primordial black hole in Lorentz-violating theories: Insights from Bumblebee gravity cites this paper.

Primordial black hole in Lorentz-violating theories: Insights from Bumblebee gravity Threshold of primordial black hole formation

Reference 29

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verified exact
local_arxiv, observed 2026-07-09T21:56:38.299656Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-09T21:56:09.997709Z digest=sha256:e2adfc9965852f68494e9672d31d679b1b3eb70a1d5db1f741d7d9a858c42636

Observation af4b1792-caf3-48bd-95d1-f334c25ec646 · inbound

The statistics of curvature-profile dispersion in primordial black hole formation cites this paper.

The statistics of curvature-profile dispersion in primordial black hole formation Threshold of primordial black hole formation

Reference 63

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verified exact
local_arxiv, observed 2026-07-10T02:26:43.020583Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-05T06:32:48.257954+00:00.

source=pdf_text observed=2026-07-10T02:22:09.448925Z digest=sha256:fdeb1a97e708387f059046a8c29a2a8cd3a45b180803770314e45b4f7bb62c12

Observation a6f3eeaf-e1fe-464f-9968-63bd1615af10 · inbound

The statistics of curvature-profile dispersion in primordial black hole formation cites this paper.

The statistics of curvature-profile dispersion in primordial black hole formation Threshold of primordial black hole formation

Reference 68

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unresolved
no resolver link, observed 2026-08-02T07:53:11.386617Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T07:53:11.386617Z digest=sha256:ac33298f97c8925b293fad6bcabbd068966a9c99065457d8f9fad11813be10ee

Observation e0fc365d-f23b-4971-830d-4b379585ab0b · inbound

PBH formation and Gravitational Waves as Multi-messenger Signals of First-order Phase Transitions cites this paper.

PBH formation and Gravitational Waves as Multi-messenger Signals of First-order Phase Transitions Threshold of primordial black hole formation

Reference 18

Resolution
unresolved
no resolver link, observed 2026-08-01T23:20:47.352240Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-01T23:20:47.352240Z digest=sha256:cc62544246292e9a185e5ea857a5fa4991c596d55392ab11458e47606ba66009