Pith Number

pith:GFZC4X3O

pith:2017:GFZC4X3OJBF5HVAICZTWGTC7XP

not attested not anchored not stored refs pending

Quantitative estimate of propagation of chaos for stochastic systems with $W^{-1, \infty}$ kernels

Pierre-Emmanuel Jabin, Zhenfu Wang

arxiv:1706.09564 v3 · 2017-06-29 · math.AP · math-ph · 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{GFZC4X3OJBF5HVAICZTWGTC7XP}

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	2026-05-18T00:03:09.695814Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31722e5f6e484bd3d4081667634c5fbbc852faf8136febad7726ff396e2ef5fd

Aliases

arxiv: 1706.09564 · arxiv_version: 1706.09564v3 · doi: 10.48550/arxiv.1706.09564 · pith_short_12: GFZC4X3OJBF5 · pith_short_16: GFZC4X3OJBF5HVAI · pith_short_8: GFZC4X3O

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/GFZC4X3OJBF5HVAICZTWGTC7XP \
  | 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: 31722e5f6e484bd3d4081667634c5fbbc852faf8136febad7726ff396e2ef5fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f03020edd23ff36dfdba8619ddf79c0749e9d403b7aa564a1162fec1d8d9041",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-29T03:28:00Z",
    "title_canon_sha256": "2ff35440273efa7b205d2fb396b86efc8baa054e85e7498fce057167e7e4e7ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.09564",
    "kind": "arxiv",
    "version": 3
  }
}