Pith Number

pith:Z5L43ZFP

pith:2021:Z5L43ZFPDUTSMD5BAZRFSTTDWG

not attested not anchored not stored refs resolved

Scalar induced gravitational waves review

Guillem Dom\`enech

Scalar-induced gravitational waves have unified compact formulas valid for any early-universe expansion history.

arxiv:2109.01398 v2 · 2021-09-03 · gr-qc · astro-ph.CO

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\pithnumber{Z5L43ZFPDUTSMD5BAZRFSTTDWG}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

We revisit and unify the general analytical formulation. We then present general formulas in a compact form, ready to be applied.

C2weakest assumption

That the literature formulas can be unified without hidden inconsistencies or that the compact expressions remain accurate when applied to arbitrary expansion histories not explicitly checked in the review.

C3one line summary

A review that unifies analytical expressions for scalar-induced gravitational waves and emphasizes calculations for non-radiation-dominated cosmologies.

References

300 extracted · 300 resolved · 144 Pith anchors

[1] Allahverdiet al., The First Three Seconds: a Re- view of Possible Expansion Histories of the Early Uni- verse, Open J 2021

[2] Planck 2018 results. VI. Cosmological parameters 2018 · arXiv:1807.06209

[3] Planck 2018 results. X. Constraints on inflation 2018 · arXiv:1807.06211

[4] R. Brout, F. Englert and E. Gunzig,The Creation of the Universe as a Quantum Phenomenon, Annals Phys.115 (1978) 78 1978

[5] Starobinsky,Spectrum of relict gravitational radiation and the early state of the universe, JETP Lett.30 (1979) 682 1979

Formal links

2 machine-checked theorem links

Cited by

27 papers in Pith

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Relic gravitational waves from primordial gravitational collapses

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

Gravitational Waves from Black Hole Reheating: The Scalar-Induced Component

Opening the Window of Ultra-Light PBHs by Exorcising the Poltergeist

Receipt and verification

First computed	2026-05-17T23:38:14.656975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf57cde4af1d27260fa10662594e63b1b63bd6e33325bfb9a582848bd2c05d39

Aliases

arxiv: 2109.01398 · arxiv_version: 2109.01398v2 · doi: 10.48550/arxiv.2109.01398 · pith_short_12: Z5L43ZFPDUTS · pith_short_16: Z5L43ZFPDUTSMD5B · pith_short_8: Z5L43ZFP

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/Z5L43ZFPDUTSMD5BAZRFSTTDWG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cf57cde4af1d27260fa10662594e63b1b63bd6e33325bfb9a582848bd2c05d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aebf6a5a716d716ed83e128d7fa63bfe2d2fee276d7830713d43e0d7f45d4b7c",
    "cross_cats_sorted": [
      "astro-ph.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2021-09-03T09:44:21Z",
    "title_canon_sha256": "35b9c06b5f2ddf11bc625ee96257d8d7db5c455f2d3ac668e33c160665e74137"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01398",
    "kind": "arxiv",
    "version": 2
  }
}