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 2026-08-12T06:34:41.77262+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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.

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.

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.

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.

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 2026-08-12T06:34:41.77262+00:00.

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.

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.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.

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 2026-08-12T06:34:41.77262+00:00.