Pith Number

pith:75HJOHJV

pith:2022:75HJOHJVFRDXHHJIYIMYOFJ6SJ

not attested not anchored not stored refs pending

Global weak solutions to the Vlasov-Poisson-Fokker-Planck-Navier-Stokes system

Fucai Li, Li Chen, Nicola Zamponi, Yue Li

arxiv:2201.01597 v1 · 2022-01-05 · 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{75HJOHJVFRDXHHJIYIMYOFJ6SJ}

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	2026-07-05T05:30:05.857529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff4e971d352c47739d28c21987153e927451bdae9214e1295676bbacda2246bf

Aliases

arxiv: 2201.01597 · arxiv_version: 2201.01597v1 · doi: 10.48550/arxiv.2201.01597 · pith_short_12: 75HJOHJVFRDX · pith_short_16: 75HJOHJVFRDXHHJI · pith_short_8: 75HJOHJV

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/75HJOHJVFRDXHHJIYIMYOFJ6SJ \
  | 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: ff4e971d352c47739d28c21987153e927451bdae9214e1295676bbacda2246bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "140dd52b560067fb7d3e98d662c2b722c5b259b032969c419dcc96c1b16e7019",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-01-05T13:27:03Z",
    "title_canon_sha256": "d35e547762862087c8395372329295de64a6664a9d789e6158442cd40ca11540"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.01597",
    "kind": "arxiv",
    "version": 1
  }
}