Pith Number

pith:2XDPHY34

pith:2012:2XDPHY34HTZ6VABHFKJVJPTVV6

not attested not anchored not stored refs pending

Propagation of chaos for rank-based interacting diffusions and long time behaviour of a scalar quasilinear parabolic equation

Benjamin Jourdain (CERMICS), Julien Reygner (CERMICS, LPMA)

arxiv:1211.4818 v2 · 2012-11-20 · 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{2XDPHY34HTZ6VABHFKJVJPTVV6}

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	2026-05-18T02:56:35.442551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5c6f3e37c3cf3ea80272a9354be75af8f7faa651ebf98b019b8faebeb4abdde

Aliases

arxiv: 1211.4818 · arxiv_version: 1211.4818v2 · doi: 10.48550/arxiv.1211.4818 · pith_short_12: 2XDPHY34HTZ6 · pith_short_16: 2XDPHY34HTZ6VABH · pith_short_8: 2XDPHY34

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/2XDPHY34HTZ6VABHFKJVJPTVV6 \
  | 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: d5c6f3e37c3cf3ea80272a9354be75af8f7faa651ebf98b019b8faebeb4abdde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67433dd75dea40c9b89c6f8d90e045a07a64d18f2dcabac86d49ce8184a243ab",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-11-20T17:51:56Z",
    "title_canon_sha256": "8ba79c2feaa78c6675cea8c92ff64f6b675cec1bfa0776abe981496ac2876519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4818",
    "kind": "arxiv",
    "version": 2
  }
}