Pith Number

pith:WD7YZSR5

pith:2026:WD7YZSR5RMNGS7WG3DJ2EAUGPP

not attested not anchored not stored refs resolved

In-depth analysis of the clustering of dark matter particles around primordial black holes. Part III: CMB constraints

Julien Lavalle, Pierre Salati, Vivian Poulin

Even a tiny fraction of primordial black holes can force co-existing thermal dark matter particles to annihilate far more slowly than usual, as shown by CMB data analysis.

arxiv:2604.18007 v1 · 2026-04-20 · astro-ph.CO · hep-ph

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\usepackage{pith}
\pithnumber{WD7YZSR5RMNGS7WG3DJ2EAUGPP}

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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

we derive observational limits on such a scenario from a full statistical analysis of cosmic microwave background (CMB) data. We quantify how a tiny fraction f_BH of PBHs could restrict the parameter space available to thermal particle dark matter, limiting the s-wave annihilation cross section to values ≲ 10^{-30} cm³/s (mχ/100 GeV) (f_BH/10^{-6})^{-3} if PBHs are typically heavier than ∼10^{-10} M_⊙

C2weakest assumption

The assumption that PBHs are surrounded by extremely dense halos of self-annihilating particles built up during radiation domination, as modeled in prior parts of this work series.

C3one line summary

CMB data limits the s-wave annihilation cross section of thermal dark matter particles to ≲ 10^{-30} cm³/s scaled by PBH fraction and mass for PBHs heavier than ~10^{-10} solar masses.

References

76 extracted · 76 resolved · 14 Pith anchors

[1] P. J. E. Peebles,Primeval adiabatic perturbations - effect of massive neutrinos,ApJ258(July,

[2] Supersymmetric Dark Matter 1996 · arXiv:hep-ph/9506380

[3] Dark Matter Candidates from Particle Physics and Methods of Detection 2010 · arXiv:1003.0904

[4] M. Cirelli, A. Strumia and J. Zupan,Dark matter,arXiv e-prints(June, 2024) arXiv:2406.01705, [2406.01705] 2024 · arXiv:2406.01705

[5] Y. B. Zel’dovich and I. D. Novikov,The hypothesis of cores retarded during expansion and the – 32 – hot cosmological model,Soviet Ast.10(Feb., 1967) 602 1967

Receipt and verification

First computed	2026-07-10T01:19:43.694167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0ff8cca3d8b1a697ec6d8d3a202867bfc1757272822ced83e233a2d7b0a1fc8

Aliases

arxiv: 2604.18007 · arxiv_version: 2604.18007v1 · doi: 10.48550/arxiv.2604.18007 · pith_short_12: WD7YZSR5RMNG · pith_short_16: WD7YZSR5RMNGS7WG · pith_short_8: WD7YZSR5

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/WD7YZSR5RMNGS7WG3DJ2EAUGPP \
  | 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: b0ff8cca3d8b1a697ec6d8d3a202867bfc1757272822ced83e233a2d7b0a1fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c258f79415b83d6cd0421a0ecd9f60e091fe0a37f4c859eb59e243b961aa6aa",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2026-04-20T09:30:49Z",
    "title_canon_sha256": "3f3f5366552ad10ff8c687fcf4bf9fce62c6ba89ea4041d6aa4eb45d395aaa93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.18007",
    "kind": "arxiv",
    "version": 1
  }
}