Pith Number

pith:GJQJZYBD

pith:2010:GJQJZYBD2YVIMEGVSBM4BDBBOW

not attested not anchored not stored refs pending

Small BGK waves and nonlinear Landau damping

Chongchun Zeng, Zhiwu Lin

arxiv:1003.3005 v1 · 2010-03-15 · math.AP · math-ph · math.MP · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GJQJZYBD2YVIMEGVSBM4BDBBOW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:08:33.628034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32609ce023d62a8610d59059c08c2175852859aa15af5b911409929d2373ee76

Aliases

arxiv: 1003.3005 · arxiv_version: 1003.3005v1 · doi: 10.48550/arxiv.1003.3005 · pith_short_12: GJQJZYBD2YVI · pith_short_16: GJQJZYBD2YVIMEGV · pith_short_8: GJQJZYBD

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/GJQJZYBD2YVIMEGVSBM4BDBBOW \
  | 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: 32609ce023d62a8610d59059c08c2175852859aa15af5b911409929d2373ee76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b010b814aceba5670884fb47bed856b97c43f4a0229fc5bd41c63a3d026f384",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-03-15T19:38:03Z",
    "title_canon_sha256": "84dd6e1ab88a794df6482870a0d9e3cb079dc0cfc611d82d1eabf6af133a9285"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3005",
    "kind": "arxiv",
    "version": 1
  }
}