Pith Number

pith:6VLR5EMP

pith:2010:6VLR5EMPBMD43BBTHL2ZO53SQW

not attested not anchored not stored refs pending

Positive recurrence of reflecting Brownian motion in three dimensions

J. G. Dai, J. M. Harrison, Maury Bramson

arxiv:1009.5746 v1 · 2010-09-28 · 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{6VLR5EMPBMD43BBTHL2ZO53SQW}

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	2026-05-18T04:40:08.987996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5571e918f0b07cd84333af597777285b54865440e679bfd72495e23abf74880

Aliases

arxiv: 1009.5746 · arxiv_version: 1009.5746v1 · doi: 10.48550/arxiv.1009.5746 · pith_short_12: 6VLR5EMPBMD4 · pith_short_16: 6VLR5EMPBMD43BBT · pith_short_8: 6VLR5EMP

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/6VLR5EMPBMD43BBTHL2ZO53SQW \
  | 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: f5571e918f0b07cd84333af597777285b54865440e679bfd72495e23abf74880

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ff249698b0211afad2ff6593c46fb68b83e4f833b10b9d3906b1f39d78cd719",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-09-28T08:55:39Z",
    "title_canon_sha256": "c81b07cc811aea46f83d7e1358d758965ffdd602a8d7860ce413d4f598dad595"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5746",
    "kind": "arxiv",
    "version": 1
  }
}