Pith Number

pith:Q2YCSMQ7

pith:2011:Q2YCSMQ7AXOZSCBLSGN5XHH6XA

not attested not anchored not stored refs pending

Mean field conditions for coalescing random walks

Roberto Imbuzeiro Oliveira

arxiv:1109.5684 v3 · 2011-09-26 · 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{Q2YCSMQ7AXOZSCBLSGN5XHH6XA}

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	2026-05-18T03:11:33.728208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86b029321f05dd99082b919bdb9cfeb823326045528415fc1c3ce4ba19cf4bd8

Aliases

arxiv: 1109.5684 · arxiv_version: 1109.5684v3 · doi: 10.48550/arxiv.1109.5684 · pith_short_12: Q2YCSMQ7AXOZ · pith_short_16: Q2YCSMQ7AXOZSCBL · pith_short_8: Q2YCSMQ7

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/Q2YCSMQ7AXOZSCBLSGN5XHH6XA \
  | 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: 86b029321f05dd99082b919bdb9cfeb823326045528415fc1c3ce4ba19cf4bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44abe05eb916dc4dbfd45a1947861d1db68f77f38e0549b26610f810c094030a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-09-26T19:45:31Z",
    "title_canon_sha256": "45ab1899db7dcddde7304c576c52478faba6ea15beadea632cd9971bef918aff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5684",
    "kind": "arxiv",
    "version": 3
  }
}