Pith Number

pith:6A3YY2KH

pith:2026:6A3YY2KHO6I2ES25DRMOLR4ZML

not attested not anchored not stored refs pending

On a remark of de Gennes concerning three-dimensional polyelectrolytes

Carl Mueller, Shiquan Li

In three dimensions, the radius of gyration of a polyelectrolyte modeled by Brownian motion with Coulomb repulsion grows linearly with its length T, up to logarithmic corrections.

arxiv:2604.08389 v2 · 2026-04-09 · math.PR

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\pithnumber{6A3YY2KHO6I2ES25DRMOLR4ZML}

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Record completeness

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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 show that in the continuous case of Brownian motion in three dimensions, the radius of gyration of a polyelectrolyte of length T grows linearly with T, up to logarithmic corrections.

C2weakest assumption

The continuous Brownian motion with Coulomb repulsion is an adequate model for real polyelectrolytes and that the mathematical techniques used to control the long-range interactions are sufficient to establish the claimed scaling without hidden divergences or unstated cutoffs.

C3one line summary

In three dimensions, the radius of gyration of a polyelectrolyte modeled by Brownian motion with Coulomb repulsion grows linearly with length T up to logarithmic corrections.

Receipt and verification

First computed	2026-06-25T00:18:13.733938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0378c69477791a24b5d1c58e5c79962c316e58a1de39f1166837d0186bc8335

Aliases

arxiv: 2604.08389 · arxiv_version: 2604.08389v2 · doi: 10.48550/arxiv.2604.08389 · pith_short_12: 6A3YY2KHO6I2 · pith_short_16: 6A3YY2KHO6I2ES25 · pith_short_8: 6A3YY2KH

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/6A3YY2KHO6I2ES25DRMOLR4ZML \
  | 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: f0378c69477791a24b5d1c58e5c79962c316e58a1de39f1166837d0186bc8335

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47b03ee7ae3f20a3b06e60e7e2b08c5d22d39d55dc81cf7933a125549c3c43a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2026-04-09T15:49:26Z",
    "title_canon_sha256": "dc7b899e5de0eb4ec6c8228137f077e91f5136248cef56576282941fa38d1348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2604.08389",
    "kind": "arxiv",
    "version": 2
  }
}