Pith Number

pith:SPCULJVA

pith:2013:SPCULJVAI5E3V5B7QN7GGTR255

1 verified not anchored not stored refs pending

Highly asymmetric electrolytes in the primitive model: Hypernetted chain solution in arbitrary spatial dimensions

Elshad Allahyarov, Hartmut L\"owen, Marco Heinen

A logarithmic-grid spectral solver extends hypernetted-chain calculations to ionic mixtures with size and charge ratios exceeding one thousand.

arxiv:1307.4200 v1 · 2013-07-16 · cond-mat.soft

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\usepackage{pith}
\pithnumber{SPCULJVAI5E3V5B7QN7GGTR255}

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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

For three-dimensional fluids, ion size- and charge-ratios larger than one thousand can be treated, corresponding to hitherto computationally not accessed micrometer-sized colloidal spheres in 1-1 electrolyte.

C2weakest assumption

The hypernetted-chain closure remains sufficiently accurate for the extreme asymmetries that the new solver can now reach; the abstract provides only moderate-asymmetry MD comparisons.

C3one line summary

HNC approximation with logarithmic-grid Fourier-Bessel transforms yields pair correlations for primitive-model electrolytes at ion size- and charge-asymmetries larger than 1000 in any spatial dimension.

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-05-18T02:55:27.596828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c545a6a04749baf43f837e634e3aef6ede495021ed729d1bf21ac49ace4deb

Aliases

arxiv: 1307.4200 · arxiv_version: 1307.4200v1 · doi: 10.48550/arxiv.1307.4200 · pith_short_12: SPCULJVAI5E3 · pith_short_16: SPCULJVAI5E3V5B7 · pith_short_8: SPCULJVA

Agent API

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/SPCULJVAI5E3V5B7QN7GGTR255 \
  | 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: 93c545a6a04749baf43f837e634e3aef6ede495021ed729d1bf21ac49ace4deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cfabb49639705561b9480ef318d8001dac8a54cfe0285aafd795f5e508aa27f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2013-07-16T08:56:12Z",
    "title_canon_sha256": "e3aec619a7172cc82d12612ff359adfc862ef1d20fe5c691532318e2fc37ff0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4200",
    "kind": "arxiv",
    "version": 1
  }
}