Pith Number

pith:6R2GZ7SR

pith:2015:6R2GZ7SR4DJ3K62HGLH3FZHKD4

not attested not anchored not stored refs pending

Mean Field Limit and Propagation of Chaos for Vlasov Systems with Bounded Forces

Pierre-Emmanuel Jabin, Zhenfu Wang

arxiv:1511.03769 v1 · 2015-11-12 · 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{6R2GZ7SR4DJ3K62HGLH3FZHKD4}

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	2026-05-18T01:27:06.833855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4746cfe51e0d3b57b4732cfb2e4ea1f11d834cf9a213819d9a07313895175ba

Aliases

arxiv: 1511.03769 · arxiv_version: 1511.03769v1 · doi: 10.48550/arxiv.1511.03769 · pith_short_12: 6R2GZ7SR4DJ3 · pith_short_16: 6R2GZ7SR4DJ3K62H · pith_short_8: 6R2GZ7SR

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/6R2GZ7SR4DJ3K62HGLH3FZHKD4 \
  | 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: f4746cfe51e0d3b57b4732cfb2e4ea1f11d834cf9a213819d9a07313895175ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4930119325bd273ea92d9984afcda5b734df908172f9856a73ce18cb1cfee19f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-12T04:06:03Z",
    "title_canon_sha256": "44d96fdbeec9e6b1498068e55c16c2c7930422ec074c8ed5042be06e31cba095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03769",
    "kind": "arxiv",
    "version": 1
  }
}