Pith. sign in

Paper Citation Record · LEDGER

The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

As of 12 August 2026, this Paper Citation Record lists 0 of 0 outbound references and 30 inbound Pith citation observations for arXiv:2011.03014.

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

pith.paper-citation-record.v1
2011.03014 v2

Coverage vector

measured 0 of 0 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links

measured 30 of 30 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 30 of 30 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-11T23:25:21.784825Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-01T18:05:59.270706Z

Reference resolution

0 of 0 outbound references displayed

  • verified exact0
  • verified fuzzy0
  • unresolved0
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

No outbound reference observations are available for this paper version.

Pith citing papers

Observation 2689fde1-2c4b-43a2-920e-857693481d0f · inbound

Constraints on Primordial Black Holes cites this paper.

Constraints on Primordial Black Holes The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 43

Resolution
verified exact
arxiv_id, observed 2026-05-15T02:52:31.985880Z

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=2026-05-15T02:52:31.574358Z digest=sha256:14c4342e9295315ffc04252636d9a10257f3d25eb4e073a6ebba399fa4f1723e

Observation 0f2ec0a7-7735-4609-96ba-7546bad18d3f · inbound

Scalar induced gravitational waves review cites this paper.

Scalar induced gravitational waves review The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 215

Resolution
verified exact
arxiv_id, observed 2026-05-17T07:59:16.756711Z

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=2026-05-17T07:57:52.725198Z digest=sha256:0ce89d1b2d206a1a417c6a8b4b2d05e239479416b6c12036df4d76ce3049fe17

Observation c7f11f45-07d0-4e0e-904a-017e30e0c79d · inbound

Testing inflation on all scales: a case study with $\alpha$-attractors cites this paper.

Testing inflation on all scales: a case study with $\alpha$-attractors The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 105

Resolution
unresolved
no resolver link, observed 2026-08-11T23:25:21.784825Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T23:25:21.784825Z digest=sha256:db2e03d1feae1f6394775b3b1bf48c6c68f5d78a097ab8430734b9f6fc70a12c

Observation dfc8ca92-f837-417f-8c54-36848e2d4917 · inbound

Primordial Black Holes (as Dark Matter) from the Supercooled Phase Transitions with Radiative Symmetry Breaking cites this paper.

Primordial Black Holes (as Dark Matter) from the Supercooled Phase Transitions with Radiative Symmetry Breaking The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-11T19:31:41.122459Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T19:31:41.122459Z digest=sha256:aad0a1002d069f7f453963b9fb950c7e3f3c7e7707e3cedd3e0b631e6a967a6d

Observation 40e9036c-3bc5-474a-a39a-230fa9684935 · inbound

Unexpected shape of the primordial black hole mass function cites this paper.

Unexpected shape of the primordial black hole mass function The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T18:43:04.484091Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T18:43:04.484091Z digest=sha256:c7ed1d2cb146a4926add1bcbcb0bf7672c12547328fb4e9c029691c5402c417b

Observation 75de7425-d4d4-4c98-984d-95f03c5b0bbb · inbound

Is the formation of primordial black holes from single-field inflation compatible with standard cosmology? cites this paper.

Is the formation of primordial black holes from single-field inflation compatible with standard cosmology? The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 106

Resolution
unresolved
no resolver link, observed 2026-08-11T12:43:01.942361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T12:43:01.942361Z digest=sha256:4c517564531d35ee050b9937e4a1c874ea675fb1552b10effdadd0e0b879ed66

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

Probing Primordial Black Hole Mergers in Clusters with Pulsar Timing Data cites this paper.

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

Reference 81

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

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T11:03:27.687014Z digest=sha256:69c8245a859e2c64ea0da2dc53548536e5f1d8b5a572603b7f1b36ddfe24211d

Observation dba8f5ab-3834-447f-8754-b804919b6dab · inbound

Can tensor-scalar induced GWs dominate PTA observations ? cites this paper.

Can tensor-scalar induced GWs dominate PTA observations ? The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-10T23:01:59.969712Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:01:59.969712Z digest=sha256:765d4429ee763c72e935916570f451c0a9ccc8e22819bfdecddd2e34b17f46a5

Observation 31e25d51-c6d3-40de-989b-6c2b31c7622a · inbound

Harvesting primordial black holes from stochastic trees with $\texttt{FOREST}$ cites this paper.

Harvesting primordial black holes from stochastic trees with $\texttt{FOREST}$ The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 103

Resolution
unresolved
no resolver link, observed 2026-08-10T21:17:55.545398Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T21:17:55.545398Z digest=sha256:6b4c0048d122ae5c1e2d18482488021dad9a1920d219eb2dc8ff78d03b68993d

Observation 80b5b16c-265b-4492-842f-62aa42f97e0b · inbound

The Irrelevance of Primordial Black Hole Clustering in the LVK mass range cites this paper.

The Irrelevance of Primordial Black Hole Clustering in the LVK mass range The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 103

Resolution
unresolved
no resolver link, observed 2026-08-09T14:59:21.997597Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T14:59:21.997597Z digest=sha256:f7af5d938f717f8a34c21803c96d1ae8d75a0381bd80c5c57f998b82375748f2

Observation 1d17f1fc-b5bf-44e1-9eb9-fbe6710bb4ee · inbound

Complementary Probes of Warped Extra Dimension: Colliders, Gravitational Waves and Primordial Black Holes from Phase Transitions cites this paper.

Complementary Probes of Warped Extra Dimension: Colliders, Gravitational Waves and Primordial Black Holes from Phase Transitions The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 108

Resolution
unresolved
no resolver link, observed 2026-08-09T04:34:23.854219Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-09T04:34:23.854219Z digest=sha256:ce960a6dfe638164a5e6fade567823d0cab546d8b9ed4b03030a25bbc7f5315e

Observation 7c65bb27-9047-4020-82c0-d2dd475458de · inbound

Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves cites this paper.

Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 71

Resolution
verified exact
arxiv_id, observed 2026-05-23T01:22:21.112949Z

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=2026-05-23T01:19:15.263346Z digest=sha256:144660888c671acfb6e27495aa5e3a35e700df5e410e834c95069fd31703d337

Observation 914ccec7-5146-4955-9513-279e3ba641c3 · inbound

Primordial black holes and magnetic fields in conformal neutrino mass models cites this paper.

Primordial black holes and magnetic fields in conformal neutrino mass models The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 45

Resolution
verified exact
arxiv_id, observed 2026-05-22T15:24:57.730989Z

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=2026-05-22T15:23:28.271268Z digest=sha256:e9ae38c0cf2affd84b8383ba80d321ef1cb8913b6381a49ddb7f1be930687584

Observation 3a0915bb-b7b7-44a1-a8ba-e46f606b606c · inbound

Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order cites this paper.

Isotropy, anisotropies and non-Gaussianity in the scalar-induced gravitational-wave background: diagrammatic approach for primordial non-Gaussianity up to arbitrary order The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 247

Resolution
verified exact
arxiv_id, observed 2026-05-22T01:55:55.235585Z

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=2026-05-22T01:55:13.345095Z digest=sha256:2fe92cc17596ed2bbfad845a478b9cf3cdf5b1ed20ddd0a4e704c12cbb1879cb

Observation 3a63a097-6394-4d81-9e78-a3fe7e389900 · inbound

Cosmological constraints on small-scale primordial non-Gaussianity cites this paper.

Cosmological constraints on small-scale primordial non-Gaussianity The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 122

Resolution
unresolved
no resolver link, observed 2026-08-07T13:10:33.964182Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T13:10:33.964182Z digest=sha256:b991bc2388de29bfd15549bd7f7d9fa95f16eb65a2d5cc7a0eb15672277ee96d

Observation 0de7fbd2-d686-4c12-b5d8-137c2f243f2a · inbound

Tensor induced gravitational waves cites this paper.

Tensor induced gravitational waves The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 128

Resolution
unresolved
no resolver link, observed 2026-08-06T11:33:45.049646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T11:33:45.049646Z digest=sha256:130084facd1e19e4bfac64ba733892ded4847a69725e597547918beb74dc1893

Observation b3e3064c-82f4-440d-ab39-29818fb39598 · 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 The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 183

Resolution
unresolved
no resolver link, observed 2026-08-05T15:54:21.145107Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-05T15:54:21.145107Z digest=sha256:caf71ec753e9d70d51e4f989da5579dd7c50796a4d259ee24858a8e46d73816e

Observation df9ab716-7a63-4009-92d6-a8e65aed1414 · inbound

Are Primordial Black Holes Truly Fine-Tuned? cites this paper.

Are Primordial Black Holes Truly Fine-Tuned? The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 46

Resolution
unresolved
no resolver link, observed 2026-08-03T14:43:18.216953Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-03T14:43:18.216953Z digest=sha256:61e52cc44fe77e387bb03fbcbb1493ba82e1be6d928123e9893b309e656dafa8

Observation b514afb7-8f3f-465a-b1f6-4fac39a678f7 · inbound

Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves cites this paper.

Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 152

Resolution
verified exact
arxiv_id, observed 2026-05-10T01:04:50.403341Z

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=2026-05-10T00:55:18.764549Z digest=sha256:065141147c3e6727c75f2aeeeb8875d46d71013fa7bc1e573a6c91090cb90e6b

Observation e89cfa5e-28bb-43ec-b70a-adb0dceed172 · inbound

Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves cites this paper.

Purely quadratic non-Gaussianity from tachyonic instability: Primordial black holes and scalar-induced gravitational waves The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 152

Resolution
unresolved
no resolver link, observed 2026-08-02T15:57:09.187869Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T15:57:09.187869Z digest=sha256:294e3e8f5605dcd6632df427cb9bb9b89a3bb9e2edb1c7881fc7635b67d6e430

Observation d4dcc815-15a3-4e36-b74f-db65b91c2737 · inbound

Constraints on the Primordial Black Hole Abundance using Pulsar Parameter Drifts cites this paper.

Constraints on the Primordial Black Hole Abundance using Pulsar Parameter Drifts The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 70

Resolution
metadata mismatch
arxiv_id, observed 2026-05-11T20:06:18.374027Z

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=2026-05-08T10:13:18.042277Z digest=sha256:b61e3139e3e420c751de0bffc42a0c14866af1650aea8b0e1e37da01536009f1

Observation 4b2a9caa-e312-43c0-8bc1-9453bdebeada · inbound

Asteroid-mass Primordial Black Holes as Dark Matter from Supersymmetry cites this paper.

Asteroid-mass Primordial Black Holes as Dark Matter from Supersymmetry The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 91

Resolution
verified exact
arxiv_id, observed 2026-05-12T00:06:16.506735Z

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=2026-05-07T15:51:05.674217Z digest=sha256:6bfc22e740ae0f4084e7eb1bbf10335021f59c7a77b0b37689865e7edc131007

Observation f89d8edb-a408-47bd-a8c6-ed8d5c74f81b · inbound

Primordial black hole dark matter from axion inflation cites this paper.

Primordial black hole dark matter from axion inflation The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 54

Resolution
verified exact
arxiv_id, observed 2026-05-12T09:51:27.118906Z

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=2026-05-07T09:07:09.900700Z digest=sha256:85b5270396f3497e054a626c860eb43ca9e51b35535483b4f2139ed095eaf26f

Observation ae0c8de3-c771-4100-b202-10d45f070325 · inbound

Inflation driven by repulsive-like primordial black holes cites this paper.

Inflation driven by repulsive-like primordial black holes The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 6

Resolution
verified exact
arxiv_id, observed 2026-05-11T14:56:05.843066Z

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=2026-05-09T20:51:47.925071Z digest=sha256:6f18d5b0616ddf3d3c12e702163df72fccca2170072de73e28fb31527561ac76

Observation 545a5b84-5d1d-4a55-864b-be401b8a7bfe · inbound

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls cites this paper.

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 151

Resolution
verified exact
arxiv_id, observed 2026-05-15T02:59:41.898030Z

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=2026-05-15T02:53:41.149271Z digest=sha256:6425e903719b2eead5d0c89333a5dcf8147fdaf084080a71f3e23b4d2cafdd44

Observation 7f79a636-70ff-458f-9547-ee653bd5cc85 · inbound

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls cites this paper.

Primordial Black Hole from Tensor-induced Density Fluctuation: First-order Phase Transitions and Domain Walls The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 151

Resolution
unresolved
no resolver link, observed 2026-08-02T14:03:43.968045Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-02T14:03:43.968045Z digest=sha256:983d610f14f8e5eebec76f6fa715a8104a44f93148573c4acac5c3d34cafee79

Observation 540e1ef4-25bd-458a-b535-6f013bdeca1c · inbound

Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component cites this paper.

Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 270

Resolution
verified exact
arxiv_id, observed 2026-05-21T03:29:29.528058Z

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=2026-05-21T03:29:26.870369Z digest=sha256:650b332f955119b91ddb3b9c4aa2c8fc7e7a4e89b2ab5fe836ceb1c7cd35a6fa

Observation f6cb596a-cdbd-482f-a8e9-ce0951ff1c5c · inbound

Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes cites this paper.

Memoirs of the curvaton: non-perturbative non-Gaussianity and supermassive primordial black holes The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 186

Resolution
verified exact
arxiv_id, observed 2026-07-01T18:05:59.272022Z

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=2026-06-29T02:29:32.722846Z digest=sha256:29bdeddfa9fc6c5ceb8c3d02fa9c09bc8bb428373abfe8877ba6328c304f5b76

Observation 474d9616-cf2e-4a9e-8611-1cf786cc4326 · inbound

Saturation Equations of State in Critical Gravitational Collapse: The Primordial Black Hole Threshold cites this paper.

Saturation Equations of State in Critical Gravitational Collapse: The Primordial Black Hole Threshold The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 22

Resolution
verified exact
arxiv_id, observed 2026-06-30T02:54:11.376820Z

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=2026-06-30T01:57:20.452109Z digest=sha256:8d74b259e4d79d014db68f643dbd7ca553c77503c303d2b596a2786be2d069fd

Observation ceada091-d11c-41e2-82fb-7a2194d70d6d · 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 The Threshold for Primordial Black Hole Formation: a Simple Analytic Prescription

Reference 59

Resolution
verified exact
arxiv_id, observed 2026-06-30T14:34:45.814701Z

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=2026-06-30T05:26:28.825729Z digest=sha256:8d97052f2bfd55492b893a3339be00816d214f4079f3ec6f7ba9b60acf1e9227