pith. sign in
Pith Number

pith:7226OR2B

pith:2010:7226OR2B6N2RCGIPUAQMDIWQXS
not attested not anchored not stored refs pending

The Poisson-Boltzmann Theory for The Two-Plates Problem: Some Exact Results

Xiangjun Xing

arxiv:1010.4944 v1 · 2010-10-24 · physics.class-ph · cond-mat.mtrl-sci · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{7226OR2B6N2RCGIPUAQMDIWQXS}

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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.
Receipt and verification
First computed 2026-05-18T04:38:49.753812Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

feb5e74741f37511190fa020c1a2d0bc847b4399b8102e63b83d2f359788df08

Aliases

arxiv: 1010.4944 · arxiv_version: 1010.4944v1 · doi: 10.48550/arxiv.1010.4944 · pith_short_12: 7226OR2B6N2R · pith_short_16: 7226OR2B6N2RCGIP · pith_short_8: 7226OR2B
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/7226OR2B6N2RCGIPUAQMDIWQXS \
  | 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: feb5e74741f37511190fa020c1a2d0bc847b4399b8102e63b83d2f359788df08
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5e11abad52ee8b0e22cf6c0c972961c19882bb4c3fcef5a5cb8ebbd36e8f15ff",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.class-ph",
    "submitted_at": "2010-10-24T09:04:53Z",
    "title_canon_sha256": "5ab93b299aaf0614a0f3522b516bcc74300c2623f04dae5c3cfc5d4df1dcdab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4944",
    "kind": "arxiv",
    "version": 1
  }
}