Pith Number

pith:WFJ66KU4

pith:2011:WFJ66KU4QDYYIP6AYY7A73XWH4

not attested not anchored not stored refs pending

Exact momentum conservation laws for the gyrokinetic Vlasov-Poisson equations

Alain J. Brizard, Natalia Tronko

arxiv:1105.1145 v2 · 2011-05-05 · 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{WFJ66KU4QDYYIP6AYY7A73XWH4}

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	2026-05-18T02:02:03.674157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b153ef2a9c80f1843fc0c63e0feef63f1ba19fef076f8428df63f54c30296c24

Aliases

arxiv: 1105.1145 · arxiv_version: 1105.1145v2 · doi: 10.48550/arxiv.1105.1145 · pith_short_12: WFJ66KU4QDYY · pith_short_16: WFJ66KU4QDYYIP6A · pith_short_8: WFJ66KU4

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/WFJ66KU4QDYYIP6AYY7A73XWH4 \
  | 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: b153ef2a9c80f1843fc0c63e0feef63f1ba19fef076f8428df63f54c30296c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1b02da7d4a8e88aa1e5b868bbf698d8536714f2bb7e8e71735f75bbb3b290d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2011-05-05T19:06:37Z",
    "title_canon_sha256": "6a4385aa0b8563986fc3b5c83b0a408ec3ad22133e434e889efbb0dea4072b1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1145",
    "kind": "arxiv",
    "version": 2
  }
}