Pith Number

pith:2DNFVDRU

pith:2011:2DNFVDRUOEATJH2CJVKKM4XAZI

not attested not anchored not stored refs pending

The Vlasov-Poisson-Boltzmann System for Soft Potentials

Huijiang Zhao, Renjun Duan, Tong Yang

arxiv:1112.1453 v2 · 2011-12-07 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DNFVDRUOEATJH2CJVKKM4XAZI}

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	2026-05-18T03:59:49.206498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0da5a8e347101349f424d54a672e0ca330537b35f3a6327b51ba9860de31382

Aliases

arxiv: 1112.1453 · arxiv_version: 1112.1453v2 · doi: 10.48550/arxiv.1112.1453 · pith_short_12: 2DNFVDRUOEAT · pith_short_16: 2DNFVDRUOEATJH2C · pith_short_8: 2DNFVDRU

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/2DNFVDRUOEATJH2CJVKKM4XAZI \
  | 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: d0da5a8e347101349f424d54a672e0ca330537b35f3a6327b51ba9860de31382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0822d704f25f39c212fdbdaad29881af076ad6452d3b1e6307c3b4ef630ab176",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-07T01:35:57Z",
    "title_canon_sha256": "fb18fbb3e5cc52c1ecebf5d78ab614a6d0012c0d3c503a11ffe402c0eb40dcec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1453",
    "kind": "arxiv",
    "version": 2
  }
}