Pith Number

pith:MHRTCJSJ

pith:2015:MHRTCJSJL3ACFQ3WFXZMWIZZMJ

not attested not anchored not stored refs pending

From Vlasov-Poisson and Vlasov-Poisson-Fokker-Planck Systems to Incompressible Euler Equations: the case with finite charge

David Chiron, Julien Barr\'e, Nader Masmoudi, Thierry Goudon

arxiv:1502.07890 v1 · 2015-02-27 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHRTCJSJL3ACFQ3WFXZMWIZZMJ}

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	2026-05-18T02:26:01.920307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61e33126495ec022c3762df2cb233962565d087005d8aaf91829577897c91531

Aliases

arxiv: 1502.07890 · arxiv_version: 1502.07890v1 · doi: 10.48550/arxiv.1502.07890 · pith_short_12: MHRTCJSJL3AC · pith_short_16: MHRTCJSJL3ACFQ3W · pith_short_8: MHRTCJSJ

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/MHRTCJSJL3ACFQ3WFXZMWIZZMJ \
  | 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: 61e33126495ec022c3762df2cb233962565d087005d8aaf91829577897c91531

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6efb42031b06ffbcb6fd20fd3fa0f98e1ee3ad8de27bfffe74447ccd2a059b05",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-27T13:33:32Z",
    "title_canon_sha256": "ddd7b8f0bfa701c9b6c5f7a879ad165f5c28b7f6eb4b0d07d79ed05f99bdfc70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.07890",
    "kind": "arxiv",
    "version": 1
  }
}