Pith Number

pith:N4EX7SAW

pith:2026:N4EX7SAWS6XSWZY4LII4AVY6DW

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The Amplitude-Growth Degeneracy and Implied $A_s$ Diagnostic for Background-Inert Modified Gravity

Ameya Kolhatkar, P. K. Sahoo

Background-inert f(Q) gravity couplings degenerate with σ80 through a deeper As-D0(λ) link when CMB distance priors are used.

arxiv:2605.13914 v1 · 2026-05-13 · astro-ph.CO · gr-qc · hep-ph · hep-th

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4 Citations open

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Claims

C1strongest claim

We prove that any background-inert perturbative coupling λ in coincident f(Q) gravity exhibits a degeneracy with the clustering amplitude σ80, when using compressed CMB distance priors. This degeneracy is, in fact, a direct materialization of a more deeper As-D0(λ) degeneracy between the primordial amplitude As and the present day growth factor D0(λ).

C2weakest assumption

The assumption that the perturbative coupling remains strictly background-inert and that compressed CMB distance priors capture the full information needed to expose the degeneracy without full likelihood analysis.

C3one line summary

Any background-inert λ in coincident f(Q) gravity degenerates with σ80 via an As-D0(λ) link, inflating σ80 to unphysical levels and raising As by 20-30% in tension with Planck unless fixed by As priors.

References

57 extracted · 57 resolved · 21 Pith anchors

[1] Big Bang Nucleosynthesis: 2015 2015 · doi:10.1103/revmodphys.88.015004

[2] Planck 2018 results. VI. Cosmological parameters 2018 · doi:10.1051/0004-6361/201833910

[3] Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the De- termination of the Hubble Constant and Stronger Evi- dence for Physics beyond ΛCDM 2019 · doi:10.3847/1538-4357/ab1422

[4] Physical Review D , author = 2021 · doi:10.1103/physrevd.103.083533

[5] 2021, , 646, A140, 10.1051/0004-6361/202039063 2021 · doi:10.1051/0004-6361/202039063

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-17T23:39:18.776640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f097fc81697af2b671c5a11c0571e1dab419be803930b19463b1e007158ef30

Aliases

arxiv: 2605.13914 · arxiv_version: 2605.13914v1 · doi: 10.48550/arxiv.2605.13914 · pith_short_12: N4EX7SAWS6XS · pith_short_16: N4EX7SAWS6XSWZY4 · pith_short_8: N4EX7SAW

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/N4EX7SAWS6XSWZY4LII4AVY6DW \
  | 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: 6f097fc81697af2b671c5a11c0571e1dab419be803930b19463b1e007158ef30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "88dbdb4f6828dd6340645a1fd2730cb4d6b938f269332c62f437dbf2a800b1b0",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-13T09:41:26Z",
    "title_canon_sha256": "592af4a6a98600b6c6dc51d7009c79390fe560cbb1eeea76232dcd2caca87d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13914",
    "kind": "arxiv",
    "version": 1
  }
}