pith. sign in
Pith Number

pith:NBCPP3VD

pith:2013:NBCPP3VDPQINQBPYL7WTZZS2U6
not attested not anchored not stored refs pending

Dipolar Poisson-Boltzmann Approach to Ionic Solutions: A Mean Field and Loop Expansion Analysis

Amir Levy, David Andelman, Henri Orland

arxiv:1308.2686 v1 · 2013-08-12 · cond-mat.soft · cond-mat.stat-mech · physics.chem-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NBCPP3VDPQINQBPYL7WTZZS2U6}

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 2026-05-18T03:06:54.583923Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6844f7eea37c10d805f85fed3ce65aa7910c054445bd51dc390fa21ae02e5913

Aliases

arxiv: 1308.2686 · arxiv_version: 1308.2686v1 · doi: 10.48550/arxiv.1308.2686 · pith_short_12: NBCPP3VDPQIN · pith_short_16: NBCPP3VDPQINQBPY · pith_short_8: NBCPP3VD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NBCPP3VDPQINQBPYL7WTZZS2U6 \
  | 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: 6844f7eea37c10d805f85fed3ce65aa7910c054445bd51dc390fa21ae02e5913
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ef92288618af3637839b968e5040f6f08171cc85301971d42e9310a0b83d01d5",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2013-08-12T20:07:50Z",
    "title_canon_sha256": "85b1ef0a9f6cfdbefcfd978a4be1f844475fe7398cbcdc21f93299a4b3a95163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2686",
    "kind": "arxiv",
    "version": 1
  }
}