Pith Number

pith:USW4TYX5

pith:2009:USW4TYX5ODMWX5N5U7C6XZYUSQ

1 verified not anchored not stored refs pending

Simulation Study of Sulfonate Cluster Swelling in Ionomers

Elshad Allahyarov, Hartmut L\"owen, Philip L. Taylor

Sulfonate clusters in low-concentration Nafion split at the start of hydration, then swell while keeping a fixed number of ions per cluster.

arxiv:0909.0559 v1 · 2009-09-03 · cond-mat.mtrl-sci · cond-mat.soft

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\usepackage{pith}
\pithnumber{USW4TYX5ODMWX5N5U7C6XZYUSQ}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

✓ Author claim 1 verified · sign in to claim

Elshad Allahyarov orcid verified

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

At the onset of membrane hydration, the clusters split into smaller parts. These subsequently swell, but then maintain constant the number of sulfonates per cluster.

C2weakest assumption

The simulation force fields and low-concentration regime chosen are representative of real Nafion behavior at the onset of hydration.

C3one line summary

Hydration splits sulfonate clusters in low-concentration ionomers, after which clusters swell at constant sulfonate count while water distribution turns non-uniform at higher concentrations.

Formal links

1 machine-checked theorem link

Receipt and verification

First computed	2026-05-18T02:12:00.477026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4adc9e2fd70d96bf5bda7c5ebe7149428d6e7ec89778e4f991843567a972d2c

Aliases

arxiv: 0909.0559 · arxiv_version: 0909.0559v1 · doi: 10.48550/arxiv.0909.0559 · pith_short_12: USW4TYX5ODMW · pith_short_16: USW4TYX5ODMWX5N5 · pith_short_8: USW4TYX5

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/USW4TYX5ODMWX5N5U7C6XZYUSQ \
  | 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: a4adc9e2fd70d96bf5bda7c5ebe7149428d6e7ec89778e4f991843567a972d2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4b6897676cedc7496f41f3baf5e6260746120723804f410593d862e83edb4c",
    "cross_cats_sorted": [
      "cond-mat.soft"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mtrl-sci",
    "submitted_at": "2009-09-03T01:04:13Z",
    "title_canon_sha256": "b428ef76bcce099730dfb93cab9b681dcea6931bf76367fa2a0b889a9015aeef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0559",
    "kind": "arxiv",
    "version": 1
  }
}