Pith Number

pith:EJLD3V3U

pith:2021:EJLD3V3URCPP5GNHPL4YKS2YGD

not attested not anchored not stored refs pending

Uniform in time propagation of chaos for the 2D vortex model and other singular stochastic systems

Arnaud Guillin, Pierre Le Bris, Pierre Monmarch\'e

arxiv:2108.08675 v2 · 2021-08-19 · math.PR · 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{EJLD3V3URCPP5GNHPL4YKS2YGD}

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	2026-07-05T06:57:05.162415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22563dd774889efe99a77af9854b5830c204e9a0a2f25cf52a4e6cae30292526

Aliases

arxiv: 2108.08675 · arxiv_version: 2108.08675v2 · doi: 10.48550/arxiv.2108.08675 · pith_short_12: EJLD3V3URCPP · pith_short_16: EJLD3V3URCPP5GNH · pith_short_8: EJLD3V3U

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/EJLD3V3URCPP5GNHPL4YKS2YGD \
  | 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: 22563dd774889efe99a77af9854b5830c204e9a0a2f25cf52a4e6cae30292526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17f76cd08396455cc551f27df5317c1223df6fce26b99b7fff1c8f4d2c2df7c8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-08-19T13:30:16Z",
    "title_canon_sha256": "e89a57ab6907fbafe5c461e70caf73d4258feb615a276daa48e8009f06e2e1e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.08675",
    "kind": "arxiv",
    "version": 2
  }
}