Pith Number

pith:KLJNSD5P

pith:2011:KLJNSD5PR5GXH5LFZ7ZYWDC4BF

not attested not anchored not stored refs pending

Global solutions to the Vlasov-Poisson-Landau System

Huijiang Zhao, Renjun Duan, Tong Yang

arxiv:1112.3261 v1 · 2011-12-14 · 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{KLJNSD5PR5GXH5LFZ7ZYWDC4BF}

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	2026-05-18T04:06:19.643148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d2d90faf8f4d73f565cff38b0c5c096560570496ad786fe058232a507cbc6b

Aliases

arxiv: 1112.3261 · arxiv_version: 1112.3261v1 · doi: 10.48550/arxiv.1112.3261 · pith_short_12: KLJNSD5PR5GX · pith_short_16: KLJNSD5PR5GXH5LF · pith_short_8: KLJNSD5P

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/KLJNSD5PR5GXH5LFZ7ZYWDC4BF \
  | 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: 52d2d90faf8f4d73f565cff38b0c5c096560570496ad786fe058232a507cbc6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23a670044d5a689d8f7da7ed7882140f63420460c4912333305eb23dd9b91494",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-14T16:05:29Z",
    "title_canon_sha256": "3e8fa7e7b70ea8dfbb0b35c1c3a51ac3b586139b4aba34c27167fd62e94f23c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3261",
    "kind": "arxiv",
    "version": 1
  }
}