Pith Number

pith:JUFW6ZYX

pith:2025:JUFW6ZYX4ZEPS3K5JFYMTW6DEC

not attested not anchored not stored refs resolved

Primary gravitational waves at high frequencies I: Origin of suppression in the power spectrum

Alipriyo Hoory, Arnab Paul, Jerome Martin, L. Sriramkumar

Smoothing the inflation-to-radiation transition suppresses the amplitude of high-frequency oscillations in the regularized power spectrum of primary gravitational waves.

arxiv:2512.03959 v2 · 2025-12-03 · astro-ph.CO · gr-qc · hep-th

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\usepackage{pith}
\pithnumber{JUFW6ZYX4ZEPS3K5JFYMTW6DEC}

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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

With the help of a linear smoothing function, we explicitly show that the smoother transition leads to a power-law suppression in the amplitude of the oscillations (about the zero mean value) of the regularized PS of PGWs over small scales that never leave the Hubble radius during inflation.

C2weakest assumption

The assumption that the effective potential governing the PGW equation of motion can be smoothed with a simple linear function while preserving the validity of adiabatic regularization across the transition epochs.

C3one line summary

Adiabatic regularization combined with smoothed transitions suppresses the high-frequency oscillations in the power spectrum of primary gravitational waves about a zero mean.

References

88 extracted · 88 resolved · 39 Pith anchors

[1] V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger,Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part

[2] Rept.215(1992) 203–333 1992

[3] Inflation and Precision Cosmology 2004 · arXiv:astro-ph/0312492

[4] Inflationary Cosmological Perturbations of Quantum-Mechanical Origin 2005 · arXiv:hep-th/0406011

[5] B. A. Bassett, S. Tsujikawa, and D. Wands,Inflation dynamics and reheating,Rev. Mod. Phys.78(May, 2006) 537–589 2006

Formal links

3 machine-checked theorem links

Cited by

3 papers in Pith

Gravitational Waves from Post-Inflationary Magnetism: Direct and Scalar-Induced Contributions

Primary gravitational waves at high frequencies II: Emergence of the exponential cut-off in the power spectrum

The Magnetic Origin of Primordial Black Holes: Ultralight PBHs and Secondary GWs

Receipt and verification

First computed	2026-06-11T01:09:23.610111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d0b6f6717e648f96d5d4970c9dbc32099aaec5a401ef2b4526d9c4135c1e3c5

Aliases

arxiv: 2512.03959 · arxiv_version: 2512.03959v2 · doi: 10.48550/arxiv.2512.03959 · pith_short_12: JUFW6ZYX4ZEP · pith_short_16: JUFW6ZYX4ZEPS3K5 · pith_short_8: JUFW6ZYX

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/JUFW6ZYX4ZEPS3K5JFYMTW6DEC \
  | 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: 4d0b6f6717e648f96d5d4970c9dbc32099aaec5a401ef2b4526d9c4135c1e3c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96f8a540fb11bd8c6fbf4d301ab5cb9273b9633a4176de10dcc1adb5d178da35",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2025-12-03T16:52:22Z",
    "title_canon_sha256": "f037d48eaf46494cf370bfc7b4f4482ee21035397270c6825a145ed5629ef429"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.03959",
    "kind": "arxiv",
    "version": 2
  }
}