Pith. sign in
Pith Number

pith:VERWXMKH

pith:2024:VERWXMKHHDPCN4MX2ZG7QGCNIB
not attested not anchored not stored refs pending

A conservative, implicit solver for 0D-2V multi-species nonlinear Fokker-Planck collision equations

Ge Zhuang, Jianyuan Xiao, Pengfei Zhang, Yanpeng Wang, Yifeng Zheng, Zhihui Zou

arxiv:2408.01616 v3 · 2024-08-03 · math.NA · cs.NA · physics.plasm-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VERWXMKHHDPCN4MX2ZG7QGCNIB}

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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-07-05T09:44:13.711683Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a9236bb14738de26f197d64df8184d405f3bf6211004dd9aaec8aa333220e6c7

Aliases

arxiv: 2408.01616 · arxiv_version: 2408.01616v3 · doi: 10.48550/arxiv.2408.01616 · pith_short_12: VERWXMKHHDPC · pith_short_16: VERWXMKHHDPCN4MX · pith_short_8: VERWXMKH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VERWXMKHHDPCN4MX2ZG7QGCNIB \
  | 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: a9236bb14738de26f197d64df8184d405f3bf6211004dd9aaec8aa333220e6c7
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e7e751ca5079f0e3422495748b40e5856ce9a1074454a088ce0d976ea84daacb",
    "cross_cats_sorted": [
      "cs.NA",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-08-03T00:47:52Z",
    "title_canon_sha256": "50c526656394f8e839e950c48e3e8185db7352956675bda11ccbd16e04308c50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.01616",
    "kind": "arxiv",
    "version": 3
  }
}