Pith Number

pith:XXJQWULC

pith:2012:XXJQWULCX4SLGJW4JB25GNR7ST

not attested not anchored not stored refs pending

First exit of Brownian motion from a one-sided moving boundary

Frank Aurzada, Tanja Kramm

arxiv:1203.4691 v1 · 2012-03-21 · 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{XXJQWULCX4SLGJW4JB25GNR7ST}

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	2026-05-18T03:59:37.444057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdd30b5162bf24b326dc4875d3363f94ffcc0f7c0769eadafad046687ebea1ac

Aliases

arxiv: 1203.4691 · arxiv_version: 1203.4691v1 · doi: 10.48550/arxiv.1203.4691 · pith_short_12: XXJQWULCX4SL · pith_short_16: XXJQWULCX4SLGJW4 · pith_short_8: XXJQWULC

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/XXJQWULCX4SLGJW4JB25GNR7ST \
  | 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: bdd30b5162bf24b326dc4875d3363f94ffcc0f7c0769eadafad046687ebea1ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce3db96d99731d5754a991574dc6238484e5d94b87705899872556be61523c79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-21T09:45:44Z",
    "title_canon_sha256": "870330a57696015cffa252219ed8eb0ebd256e372bfdffaf87b7f7a59b090af7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4691",
    "kind": "arxiv",
    "version": 1
  }
}