Pith Number

pith:45XAIGA2

pith:2015:45XAIGA2SMBUQSJFSS2VEJMVGV

not attested not anchored not stored refs pending

Theory and applications of the Vlasov equation

F. Califano, F. Pegoraro, G. Manfredi, P.J. Morrison

arxiv:1502.03768 v2 · 2015-02-12 · 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{45XAIGA2SMBUQSJFSS2VEJMVGV}

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	2026-05-18T01:41:03.554420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e76e04181a930348492594b55225953576d73e378ea25f7927ebfef27aa13cd3

Aliases

arxiv: 1502.03768 · arxiv_version: 1502.03768v2 · doi: 10.48550/arxiv.1502.03768 · pith_short_12: 45XAIGA2SMBU · pith_short_16: 45XAIGA2SMBUQSJF · pith_short_8: 45XAIGA2

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/45XAIGA2SMBUQSJFSS2VEJMVGV \
  | 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: e76e04181a930348492594b55225953576d73e378ea25f7927ebfef27aa13cd3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "222f68f691e3adb33b3042bd00f84595e7ec2604a309e4241e059bc4b9bc183e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2015-02-12T18:48:59Z",
    "title_canon_sha256": "93b70180e5d3d47b2e477dfd24e1431d2e522243d43ebcb8e49aedf7e67e765d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03768",
    "kind": "arxiv",
    "version": 2
  }
}