Pith Number

pith:OMDMAB5A

pith:2026:OMDMAB5AOOAMFAD7XMBHIIEOOK

not attested not anchored not stored refs pending

Unveiling $f(R)$ Gravity with Void-Galaxy Cross-Correlation Multipoles

Yue Nan

Redshift-space void-galaxy multipoles show size-dependent deviations from LCDM that grow sharply for smaller voids in f(R) gravity.

arxiv:2605.12482 v2 · 2026-05-12 · astro-ph.CO · gr-qc

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\usepackage{pith}
\pithnumber{OMDMAB5AOOAMFAD7XMBHIIEOOK}

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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

✓ Portable graph bundle live · download bundle · merged state

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

the monopole deviation from LCDM grows from +2.8% for large voids (rv = 30 Mpc) to +29.7% for small voids (rv = 11.7 Mpc) at fR0 = 10^{-5} -- a distinctive size-dependent signature of the Compton-scale scalaron response associated with chameleon screening, with λC ≈ 8 Mpc; nonlinear evolution amplifies the modified-gravity signal by A0 ≈ 4

C2weakest assumption

The framework applies to any metric f(R) theory for which Geff(k,a)/G can be specified in the quasi-static limit, combined with nonlinear spherical shell dynamics for the void evolution.

C3one line summary

Void-galaxy cross-correlation multipoles exhibit amplified size-dependent deviations from LCDM in f(R) gravity due to the scalaron fifth force and nonlinear shell dynamics, providing a new probe for modified gravity.

Formal links

3 machine-checked theorem links

Receipt and verification

First computed	2026-05-20T00:03:18.182294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7306c007a07380c2807fbb0274208e7286512613bdb33f153d82c3cdb1a16bd8

Aliases

arxiv: 2605.12482 · arxiv_version: 2605.12482v2 · doi: 10.48550/arxiv.2605.12482 · pith_short_12: OMDMAB5AOOAM · pith_short_16: OMDMAB5AOOAMFAD7 · pith_short_8: OMDMAB5A

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/OMDMAB5AOOAMFAD7XMBHIIEOOK \
  | 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: 7306c007a07380c2807fbb0274208e7286512613bdb33f153d82c3cdb1a16bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75788943457dac90cf3b7d58f520ab1551cb511c760974838406c8a9a294b76d",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-05-12T17:57:38Z",
    "title_canon_sha256": "497be7ed6300ad86224db777f71e52e00bc6879358b269c98cfda464ccea00b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.12482",
    "kind": "arxiv",
    "version": 2
  }
}