pith. sign in
Pith Number

pith:3MKZB22S

pith:2010:3MKZB22SGUTR2QDKXOUIC67W5Z
not attested not anchored not stored refs pending

The Poisson-Boltzmann Theory for Two Parallel Uniformly Charged Plates

Xiangjun Xing

arxiv:1010.4943 v1 · 2010-10-24 · physics.class-ph · cond-mat.mtrl-sci · cond-mat.stat-mech

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3MKZB22SGUTR2QDKXOUIC67W5Z}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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 2026-05-18T03:23:36.803148Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

db1590eb5235271d406abba8817bf6ee6b082b77de0dc7a9abc660d5ba2a49c2

Aliases

arxiv: 1010.4943 · arxiv_version: 1010.4943v1 · doi: 10.48550/arxiv.1010.4943 · pith_short_12: 3MKZB22SGUTR · pith_short_16: 3MKZB22SGUTR2QDK · pith_short_8: 3MKZB22S
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3MKZB22SGUTR2QDKXOUIC67W5Z \
  | 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: db1590eb5235271d406abba8817bf6ee6b082b77de0dc7a9abc660d5ba2a49c2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6b1fa98648be4b2a3f88739070c082cd6b537a1337e9f464dcee9918ddebac03",
    "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": "2010-10-24T09:04:11Z",
    "title_canon_sha256": "05f34cbed931edaf3202dac7f09ee066208465f5a710f7d88262e946d2132590"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.4943",
    "kind": "arxiv",
    "version": 1
  }
}