Pith Number

pith:IZMWNDIC

pith:2013:IZMWNDICHYIOPY4V27ET4IJ2ZY

not attested not anchored not stored refs pending

The Vlasov-Poisson-Boltzmann system without angular cutoff

Renjun Duan, Shuangqian Liu

arxiv:1310.2726 v1 · 2013-10-10 · 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{IZMWNDICHYIOPY4V27ET4IJ2ZY}

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	2026-05-18T01:47:07.112800Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4659668d023e10e7e395d7c93e213ace3ff6e2069f9413696fc496ad4c8e6663

Aliases

arxiv: 1310.2726 · arxiv_version: 1310.2726v1 · doi: 10.48550/arxiv.1310.2726 · pith_short_12: IZMWNDICHYIO · pith_short_16: IZMWNDICHYIOPY4V · pith_short_8: IZMWNDIC

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/IZMWNDICHYIOPY4V27ET4IJ2ZY \
  | 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: 4659668d023e10e7e395d7c93e213ace3ff6e2069f9413696fc496ad4c8e6663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4a0747caa5ef9ea9fb86c59db9f8397a7f97b36087bdd85c23f1edbe8581faa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-10-10T08:00:39Z",
    "title_canon_sha256": "403e80dc0e843f0db2723e20670d743694d5b98ebb4b542c0f6e09f5ec8065e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2726",
    "kind": "arxiv",
    "version": 1
  }
}