Pith Number

pith:NW2C7RFM

pith:2016:NW2C7RFMTZ6YH3FCR2SOEXX564

not attested not anchored not stored refs pending

The Vlasov-Poisson equation in $\mathbb{R}^3$ with infinite charge and velocities

Carlo Marchioro, Guido Cavallaro, Silvia Caprino

arxiv:1608.02336 v4 · 2016-08-08 · math-ph · math.AP · 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{NW2C7RFMTZ6YH3FCR2SOEXX564}

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	2026-05-18T00:04:08.591201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db42fc4ac9e7d83eca28ea4e25efdf715627a98184d04e6d59f53c94f785f88

Aliases

arxiv: 1608.02336 · arxiv_version: 1608.02336v4 · doi: 10.48550/arxiv.1608.02336 · pith_short_12: NW2C7RFMTZ6Y · pith_short_16: NW2C7RFMTZ6YH3FC · pith_short_8: NW2C7RFM

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/NW2C7RFMTZ6YH3FCR2SOEXX564 \
  | 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: 6db42fc4ac9e7d83eca28ea4e25efdf715627a98184d04e6d59f53c94f785f88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17b191364498f1d41367d6799d31b017f6988d35048584c42d923cacc76f95a4",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-08-08T07:02:06Z",
    "title_canon_sha256": "26ff06140073f28f31d80a077aacf3c38354a5d256b99da736776d7f09b01aaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02336",
    "kind": "arxiv",
    "version": 4
  }
}