Pith Number

pith:VUVR3ZDS

pith:2011:VUVR3ZDSUCBTFIIOAGUOMDSYE4

not attested not anchored not stored refs pending

Two-Scale Macro-Micro decomposition of the Vlasov equation with a strong magnetic field

Alexandre Mouton, Emmanuel Frenod (Lab-STICC, Inria - Irmar), INRIA Nancy - Grand Est / IECN / LSIIT / IRMA), Nicolas Crouseilles (IRMAR, Sever Hirstoaga (INRIA Nancy - Grand Est / IECN / LSIIT / IRMA)

arxiv:1111.1506 v3 · 2011-11-07 · math.FA · math.AP · physics.plasm-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VUVR3ZDSUCBTFIIOAGUOMDSYE4}

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	2026-05-18T03:41:32.274671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839

Aliases

arxiv: 1111.1506 · arxiv_version: 1111.1506v3 · doi: 10.48550/arxiv.1111.1506 · pith_short_12: VUVR3ZDSUCBT · pith_short_16: VUVR3ZDSUCBTFIIO · pith_short_8: VUVR3ZDS

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/VUVR3ZDSUCBTFIIOAGUOMDSYE4 \
  | 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: ad2b1de472a08332a10e01a8e60e5827188c75a367659dfb963d4897fb7cf839

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a40e5b9ff90416339e4584fe209ccd108d41b30394a9e38eb359543e6c01cc6b",
    "cross_cats_sorted": [
      "math.AP",
      "physics.plasm-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-07T08:55:54Z",
    "title_canon_sha256": "1b19554456ace35521025c0f065a3f8677c55fa3512973a3bef8b7dd63a373c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1506",
    "kind": "arxiv",
    "version": 3
  }
}