Pith Number

pith:HFH22DOA

pith:2011:HFH22DOABPBEC24IQNVR2EKYP3

not attested not anchored not stored refs pending

The Mean-Field Limit for a Regularized Vlasov-Maxwell Dynamics

Fran\c{c}ois Golse

arxiv:1111.1466 v1 · 2011-11-07 · 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{HFH22DOABPBEC24IQNVR2EKYP3}

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	2026-05-18T03:50:10.882829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

394fad0dc00bc2416b88836b1d11587ed3872d86f595a2b5df91db4a3e75d2ca

Aliases

arxiv: 1111.1466 · arxiv_version: 1111.1466v1 · doi: 10.48550/arxiv.1111.1466 · pith_short_12: HFH22DOABPBE · pith_short_16: HFH22DOABPBEC24I · pith_short_8: HFH22DOA

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/HFH22DOABPBEC24IQNVR2EKYP3 \
  | 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: 394fad0dc00bc2416b88836b1d11587ed3872d86f595a2b5df91db4a3e75d2ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43eb8d4b9335781b208159aaa33f152ba5002d1bc115ce2211530dd85299387a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-11-07T01:24:26Z",
    "title_canon_sha256": "eacd3034833405eb12a468ade6a44649d14069f09a800f0e240e5a78b82cfb40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1466",
    "kind": "arxiv",
    "version": 1
  }
}