Pith Number

pith:5UDZDJPJ

pith:2011:5UDZDJPJNXRBVI272TVSNS2WTE

not attested not anchored not stored refs pending

Random many-particle systems: applications from biology, and propagation of chaos in abstract models

Bernt Wennberg

arxiv:1104.5310 v1 · 2011-04-28 · 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{5UDZDJPJNXRBVI272TVSNS2WTE}

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	2026-05-18T04:23:21.755831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed0791a5e96de21aa35fd4eb26cb56993d00250994fe2e3285501fd5bec42834

Aliases

arxiv: 1104.5310 · arxiv_version: 1104.5310v1 · doi: 10.48550/arxiv.1104.5310 · pith_short_12: 5UDZDJPJNXRB · pith_short_16: 5UDZDJPJNXRBVI27 · pith_short_8: 5UDZDJPJ

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/5UDZDJPJNXRBVI272TVSNS2WTE \
  | 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: ed0791a5e96de21aa35fd4eb26cb56993d00250994fe2e3285501fd5bec42834

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4959fcfeb5776bfcca699542a4380d77f58887b98b82c20441bb36ae62ca116",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-04-28T06:51:40Z",
    "title_canon_sha256": "84fd03d402eb4b1633ed9cc82d4ef50fd8bbe7f8985be7c9fd4a5c75c0768418"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5310",
    "kind": "arxiv",
    "version": 1
  }
}