Pith Number

pith:NWZRFGDU

pith:2013:NWZRFGDUVRA4BGD6YACZ76GRSL

not attested not anchored not stored refs pending

Mean field limit for the one dimensional Vlasov-Poisson equation

Maxime Hauray

arxiv:1309.2531 v1 · 2013-09-10 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NWZRFGDUVRA4BGD6YACZ76GRSL}

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	2026-05-18T03:13:44.346700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6db3129874ac41c0987ec0059ff8d192f5ac94fb3a4dacb04312353db7be114d

Aliases

arxiv: 1309.2531 · arxiv_version: 1309.2531v1 · doi: 10.48550/arxiv.1309.2531 · pith_short_12: NWZRFGDUVRA4 · pith_short_16: NWZRFGDUVRA4BGD6 · pith_short_8: NWZRFGDU

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/NWZRFGDUVRA4BGD6YACZ76GRSL \
  | 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: 6db3129874ac41c0987ec0059ff8d192f5ac94fb3a4dacb04312353db7be114d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa2edd05520c0fc7f88e2d43c0ebf9fd9bcfa544b61629080cde04fefb03bf4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-10T14:45:06Z",
    "title_canon_sha256": "a2b8c3c2975452fd452e79a4c95e2d6d817d2000c92d62c5c364b5e271f5c38b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2531",
    "kind": "arxiv",
    "version": 1
  }
}