Pith Number

pith:7GCO2QJY

pith:2015:7GCO2QJYY2EZZ7EMC4OV7N2233

not attested not anchored not stored refs pending

Propagation of chaos for the Vlasov-Poisson-Fokker-Planck system in 1D

Maxime Hauray, Samir Salem

arxiv:1510.06260 v2 · 2015-10-21 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7GCO2QJYY2EZZ7EMC4OV7N2233}

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	2026-05-18T01:26:59.888741Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f984ed4138c6899cfc8c171d5fb75adee51ef82265698c3d2ff66886fde3d9a9

Aliases

arxiv: 1510.06260 · arxiv_version: 1510.06260v2 · doi: 10.48550/arxiv.1510.06260 · pith_short_12: 7GCO2QJYY2EZ · pith_short_16: 7GCO2QJYY2EZZ7EM · pith_short_8: 7GCO2QJY

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/7GCO2QJYY2EZZ7EMC4OV7N2233 \
  | 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: f984ed4138c6899cfc8c171d5fb75adee51ef82265698c3d2ff66886fde3d9a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b072cbe73dc1a98302c4ac2e181cc11393cfc8a6f289853caa93a95fc8dee37f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-10-21T14:12:57Z",
    "title_canon_sha256": "a74df9d068f4a0c7d5a000e3e5b467a5accc1541bc0cba01291aa17a6c563d3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06260",
    "kind": "arxiv",
    "version": 2
  }
}