Pith Number

pith:GAK2ZPFG

pith:2010:GAK2ZPFGBQYS6XIGSOPXKZTB5Z

not attested not anchored not stored refs pending

Poisson-Boltzmann Theory of Charged Colloids: Limits of the Cell Model for Salty Suspensions

Alan R. Denton

arxiv:1004.4310 v1 · 2010-04-24 · cond-mat.soft

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GAK2ZPFGBQYS6XIGSOPXKZTB5Z}

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	2026-05-18T02:07:54.230863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3015acbca60c312f5d06939f756661ee495ec3f7f978ac13aaacbb99aea981e0

Aliases

arxiv: 1004.4310 · arxiv_version: 1004.4310v1 · doi: 10.48550/arxiv.1004.4310 · pith_short_12: GAK2ZPFGBQYS · pith_short_16: GAK2ZPFGBQYS6XIG · pith_short_8: GAK2ZPFG

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GAK2ZPFGBQYS6XIGSOPXKZTB5Z \
  | 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: 3015acbca60c312f5d06939f756661ee495ec3f7f978ac13aaacbb99aea981e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e2be92a4ed2236b582f1e9176c979d5749aa49b54bf6496b73c89d598efc6df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2010-04-24T22:31:23Z",
    "title_canon_sha256": "18ecfbc771ab68b73d679b294754e69af1d4089ca656ada74862392c0285c550"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4310",
    "kind": "arxiv",
    "version": 1
  }
}