Paper Citation Record · LEDGER

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

As of 21 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 9 inbound Pith citation observations for arXiv:2505.24590.

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

pith.paper-citation-record.v1
2505.24590 v2

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

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measured 76 of 76 standing notices

One-hop event checks from named stored sources.

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measured 9 of 9 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T13:04:20.494990Z

measured 0 of 1 external citation measurements

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

Source: arxiv_reference, observed 2026-07-04T17:20:01.199235Z

Reference resolution

67 of 67 outbound references displayed

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External citation measurements

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Outbound references

Observation 504387f6-1dc6-4e6c-8f98-4912f0028960 · outbound

This paper cites The difference in the total e-folding number N for different patches originates from the difference in the initial conditions on the initial spatially-flat hypersurface.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation The difference in the total e-folding number N for different patches originates from the difference in the initial conditions on the initial spatially-flat hypersurface

Reference 1

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 2

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Observation fc8a60a3-76ca-46d4-8a01-50bd224d1f2f · outbound

This paper cites Sasaki, Large Scale Quantum Fluctuations in the Inflationary Universe, Prog.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Sasaki, Large Scale Quantum Fluctuations in the Inflationary Universe, Prog

Reference 3

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Observation 33c350c9-3daa-42a5-9675-83102c0fac85 · outbound

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 4

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Observation 54cfbefd-3cf6-4c0d-8e03-93ce6885f21f · outbound

This paper cites Hawking, Gravitationally collapsed objects of very low mass, Mon.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Hawking, Gravitationally collapsed objects of very low mass, Mon

Reference 5

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Observation 10385ec1-1810-46a4-963e-a00e69cf8ae3 · outbound

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 6

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Observation f4ff66ed-9161-446f-bb93-3f47f40116b1 · outbound

This paper cites Meszaros, The behaviour of point masses in an ex- panding cosmological substratum, Astron.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Meszaros, The behaviour of point masses in an ex- panding cosmological substratum, Astron

Reference 7

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 8

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Observation 6cf79b1f-b12a-4789-9ec4-8e18ef52e107 · outbound

This paper cites Khlopov, B.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Khlopov, B

Reference 9

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Observation 18b93c46-99f7-4225-b204-24d8acd2152f · outbound

This paper cites Primordial Black Holes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial Black Holes

Reference 10

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Observation 3676a8c0-9d0e-49bd-8015-c7e4f1bf3233 · outbound

This paper cites Primordial black holes in non-Gaussian regimes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial black holes in non-Gaussian regimes

Reference 11

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Observation a47056bd-1c3d-42b3-9759-ed109e33f211 · outbound

This paper cites Influence of large local and non-local bispectra on primordial black hole abundance.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Influence of large local and non-local bispectra on primordial black hole abundance

Reference 12

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Observation 25e79053-a5b2-45a1-a4fb-154646ec151e · outbound

This paper cites The role of non-gaussianities in Primordial Black Hole formation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation The role of non-gaussianities in Primordial Black Hole formation

Reference 13

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Observation 3a0a53a7-0d0c-44d4-872a-1671cfcd306e · outbound

This paper cites Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial Black Holes and Local Non-Gaussianity in Canonical Inflation

Reference 14

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Observation eb538c10-f045-4aa9-9975-dd404ffbdfb9 · outbound

This paper cites Abundance of primordial black holes with local non-Gaussianity in peak theory.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Abundance of primordial black holes with local non-Gaussianity in peak theory

Reference 15

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Observation 2ee8a44d-ba61-4ce2-ba3a-f01a1d9bc20b · outbound

This paper cites Non-Gaussian Formation of Primordial Black Holes: Effects on the Threshold.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-Gaussian Formation of Primordial Black Holes: Effects on the Threshold

Reference 16

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Observation f119cc29-f84d-4506-8012-060c42322f68 · outbound

This paper cites Impact of nonlinear overdensity statistics on primordial black hole abundance.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Impact of nonlinear overdensity statistics on primordial black hole abundance

Reference 17

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Observation a4040364-7042-44ad-bf67-9e5e4b4ce9a9 · outbound

This paper cites Solving peak theory in the presence of local non-gaussianities.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Solving peak theory in the presence of local non-gaussianities

Reference 18

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Observation a319771c-73a2-4df8-ac4a-98ef5699eaee · outbound

This paper cites Non-Gaussianity in inflationary scenarios for primordial black holes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-Gaussianity in inflationary scenarios for primordial black holes

Reference 19

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Observation b71def46-ca4b-4b93-9006-990b20a23191 · outbound

This paper cites Peaks and primordial black holes: the effect of non-Gaussianity.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Peaks and primordial black holes: the effect of non-Gaussianity

Reference 20

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Observation 92954c95-1038-41e9-9ec7-d8fe464fc65c · outbound

This paper cites Simulation of Primordial Black Holes with large negative non-Gaussianity.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Simulation of Primordial Black Holes with large negative non-Gaussianity

Reference 21

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Observation fc1f7fa7-48ed-4eb0-a7de-b0442bd28f3a · outbound

This paper cites Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-Gaussianity effects on the primordial black hole abundance for sharply-peaked primordial spectrum

Reference 22

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Observation e7f25564-e54c-415d-a2a5-87af8135e5fb · outbound

This paper cites Planck 2018 results. X. Constraints on inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Planck 2018 results. X. Constraints on inflation

Reference 23

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Observation 606aa8e1-07b7-40ae-9f09-b679cc3a6a4f · outbound

This paper cites Ivanov, P.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Ivanov, P

Reference 24

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Observation 7e50f5b0-e7ec-4fa5-a8e0-fe53a2107935 · outbound

This paper cites Non-Gaussian Fluctuations and Primordial Black Holes from Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-Gaussian Fluctuations and Primordial Black Holes from Inflation

Reference 25

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Observation d05dde5c-2526-46c3-8e14-b956ca1d5018 · outbound

This paper cites On primordial black holes from an inflection point.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation On primordial black holes from an inflection point

Reference 26

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Observation e7ff93b4-a256-41b3-bf4d-59a52b23c998 · outbound

This paper cites Primordial Black Holes from Polynomial Potentials in Single Field Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial Black Holes from Polynomial Potentials in Single Field Inflation

Reference 27

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Observation 4a3497bc-d17d-4b8d-b322-c3745fb6f875 · outbound

This paper cites Primordial black holes from single field models of inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial black holes from single field models of inflation

Reference 28

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Observation 61eed84a-386e-4c69-9243-e4fdb453cb0a · outbound

This paper cites Primordial Black Hole Formation in Starobinsky's Linear Potential Model.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial Black Hole Formation in Starobinsky's Linear Potential Model

Reference 29

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Observation 3681f2b5-8beb-49aa-b896-4e6a8acde3b7 · outbound

This paper cites Logarithmic Duality of the Curvature Perturbation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Logarithmic Duality of the Curvature Perturbation

Reference 30

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Observation e28259d8-d879-4809-a878-816463ea88da · outbound

This paper cites A complete analysis of inflation with piecewise quadratic potential.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation A complete analysis of inflation with piecewise quadratic potential

Reference 31

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Observation 9ddd45b4-c298-4e38-bda1-33089d757af7 · outbound

This paper cites Application of Gradient Expansion to Inflationary Universe.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Application of Gradient Expansion to Inflationary Universe

Reference 32

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Observation df76de5a-4835-4898-8591-c5a525ba85de · outbound

This paper cites Super-Horizon Scale Dynamics of Multi-Scalar Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Super-Horizon Scale Dynamics of Multi-Scalar Inflation

Reference 33

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This paper cites Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Gradient expansion approach to nonlinear superhorizon perturbations II -- a single scalar field --

Reference 34

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Observation f95ff56e-a6dc-4aba-9b2a-27482889d40e · outbound

This paper cites A new approach to the evolution of cosmological perturbations on large scales.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation A new approach to the evolution of cosmological perturbations on large scales

Reference 35

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This paper cites A general proof of the conservation of the curvature perturbation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation A general proof of the conservation of the curvature perturbation

Reference 36

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 37

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This paper cites A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation

Reference 38

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Observation d72ae612-16fd-4e33-be84-061f739b159f · outbound

This paper cites {\delta}N formalism.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation {\delta}N formalism

Reference 39

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 40

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Observation 18f97291-e78c-4a53-a1e3-e28d39c98d8b · outbound

This paper cites \delta N Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation \delta N Formalism in Anisotropic Inflation and Large Anisotropic Bispectrum and Trispectrum

Reference 41

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Observation 75ccff5c-5521-4929-a5c3-5c3ba9b7f43d · outbound

This paper cites The inflationary prediction for primordial non-gaussianity.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation The inflationary prediction for primordial non-gaussianity

Reference 42

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Observation 87ed484f-0b66-4503-919c-6e132d2687da · outbound

This paper cites Revisiting non-Gaussianity from non-attractor inflation models.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Revisiting non-Gaussianity from non-attractor inflation models

Reference 43

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Observation 90a8b876-54c6-4e34-b31a-b0153b0957a8 · outbound

This paper cites Primordial Black Holes from Inflation and Quantum Diffusion.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial Black Holes from Inflation and Quantum Diffusion

Reference 44

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Observation 02a04711-9e26-42ba-9053-efff38d4a660 · outbound

This paper cites PBH in single field inflation: the effect of shape dispersion and non-Gaussianities.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation PBH in single field inflation: the effect of shape dispersion and non-Gaussianities

Reference 45

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Observation 13fc5578-cf15-4272-b695-78f372bfc557 · outbound

This paper cites Primordial black hole formation with non-Gaussian curvature perturbations.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial black hole formation with non-Gaussian curvature perturbations

Reference 46

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 47

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Observation 625ec133-11be-4f66-b3a0-229956034c80 · outbound

This paper cites An update on adiabatic modes in cosmology and $\delta$N formalism.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation An update on adiabatic modes in cosmology and $\delta$N formalism

Reference 48

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Observation c0ab77fc-3fb6-42af-b1ad-b50ab1d7448a · outbound

This paper cites Ballesteros, J.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Ballesteros, J

Reference 49

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Observation 8665a29a-d2e9-4f55-93bc-139f1305349d · outbound

This paper cites Stochastic inflation in phase space: Is slow roll a stochastic attractor?.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Stochastic inflation in phase space: Is slow roll a stochastic attractor?

Reference 50

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Observation 31b2343a-50ff-4126-8fcd-8c621285d3b2 · outbound

This paper cites Does inflation squeeze cosmological perturbations?.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Does inflation squeeze cosmological perturbations?

Reference 51

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$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Unresolved cited work

Reference 52

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Observation b623d830-aceb-4edd-9e78-a4d2f5c7f10c · outbound

This paper cites Real-space quantum-to-classical transition of time dependent background fluctuations.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Real-space quantum-to-classical transition of time dependent background fluctuations

Reference 53

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:38:11.575361Z

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Observation 56998574-04e2-405d-9394-ae2c1416705b · outbound

This paper cites Primordial black holes and stochastic inflation beyond slow roll: I -- noise matrix elements.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Primordial black holes and stochastic inflation beyond slow roll: I -- noise matrix elements

Reference 54

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Observation 5b9cee79-1294-4d78-b458-8dadace2b47c · outbound

This paper cites Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Classicality of Stochastic Noise Away From Quasi-de Sitter Inflation

Reference 55

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Observation dde6dd7f-10fb-4a52-b8a9-65f8a93c3ee6 · outbound

This paper cites Steepest growth of the power spectrum and primordial black holes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Steepest growth of the power spectrum and primordial black holes

Reference 56

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This paper cites How deep is the dip and how tall are the wiggles in inflationary power spectra?.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation How deep is the dip and how tall are the wiggles in inflationary power spectra?

Reference 57

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This paper cites Non-Gaussianities and Primordial Black Holes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-Gaussianities and Primordial Black Holes

Reference 58

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This paper cites The Formation Probability of Primordial Black Holes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation The Formation Probability of Primordial Black Holes

Reference 59

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This paper cites Non-perturbative non-Gaussianity and primordial black holes.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-perturbative non-Gaussianity and primordial black holes

Reference 60

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This paper cites The separate-universe approach and sudden transitions during inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation The separate-universe approach and sudden transitions during inflation

Reference 61

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This paper cites Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach

Reference 62

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This paper cites A new algorithm for calculating the curvature perturbations in stochastic inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation A new algorithm for calculating the curvature perturbations in stochastic inflation

Reference 63

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This paper cites Non-Gaussian tails without stochastic inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Non-Gaussian tails without stochastic inflation

Reference 64

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This paper cites Stochastic inflation beyond slow roll: noise modelling and importance sampling.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Stochastic inflation beyond slow roll: noise modelling and importance sampling

Reference 65

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This paper cites Correlation Functions in Stochastic Inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Correlation Functions in Stochastic Inflation

Reference 66

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Observation b0376f4a-d1ed-44f7-9c04-98b2db8a7910 · outbound

This paper cites Small noise expansion of stochastic inflation.

$\delta n$ formalism: A new formulation for the probability density of the curvature perturbation Small noise expansion of stochastic inflation

Reference 67

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Observation 696b3bd2-634e-4f6e-b8fe-e2f33403dedc · inbound

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Confronting infrared divergences in de Sitter: loops, logarithms and the stochastic formalism $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 107

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Stochastic Inflation with Interacting Noises cites this paper.

Stochastic Inflation with Interacting Noises $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 66

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Observation 8bf1602e-ba69-420a-b9ca-bbc472a143d5 · inbound

Friction in Stochastic Inflation cites this paper.

Friction in Stochastic Inflation $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 74

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Observation a96008c4-b70c-4f61-a5bd-63349970bd82 · inbound

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Time-reversed stochastic inflation in the quantum well $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 57

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Observation 93ea150c-2595-4329-82e7-d1ed59d1d74c · inbound

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Constant-Roll Inflation: Analytical Formulae for Power Spectrum and Implications for Induced Gravitational Waves $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 66

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Observation d8b3bdb6-258b-45fa-83ff-85a98b7c893e · inbound

Superhorizon curvature perturbations in hybrid inflation revisited cites this paper.

Superhorizon curvature perturbations in hybrid inflation revisited $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 116

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Observation 9037ff91-f657-4960-8308-87f1c1b523fa · inbound

Superhorizon curvature perturbations in hybrid inflation revisited cites this paper.

Superhorizon curvature perturbations in hybrid inflation revisited $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 116

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Large deviations for halos and voids: beyond perturbative non-gaussianities $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 31

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Observation f9c971ed-f42d-40c5-ab15-d3db7323a88c · inbound

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How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

Reference 90

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