Pith Number

pith:XTKEQVUJ

pith:2010:XTKEQVUJNDZBNTLJBKOBCDLG6X

not attested not anchored not stored refs pending

Fast convergence to an invariant measure for non-intersecting 3-dimensional Brownian paths

Brigitta Vermesi, Gregory F. Lawler

arxiv:1008.4830 v2 · 2010-08-28 · 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{XTKEQVUJNDZBNTLJBKOBCDLG6X}

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	2026-05-18T03:39:42.232109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcd448568968f216cd690a9c110d66f5e6cd9377729eed3e4586cb7c0cfe9f23

Aliases

arxiv: 1008.4830 · arxiv_version: 1008.4830v2 · doi: 10.48550/arxiv.1008.4830 · pith_short_12: XTKEQVUJNDZB · pith_short_16: XTKEQVUJNDZBNTLJ · pith_short_8: XTKEQVUJ

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/XTKEQVUJNDZBNTLJBKOBCDLG6X \
  | 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: bcd448568968f216cd690a9c110d66f5e6cd9377729eed3e4586cb7c0cfe9f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "91246b5b5386a5a9de7f631539ac2c0108674c35fc24daaa48caf9c49f245956",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-08-28T03:58:15Z",
    "title_canon_sha256": "f09b0ff13ecf74eaa69143b7d7973c71f795a049cf78a7947331ea79c03c5df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4830",
    "kind": "arxiv",
    "version": 2
  }
}