Pith Number

pith:OAD5FVJZ

pith:2018:OAD5FVJZ3YW6ATJVUQJY4JFGB7

not attested not anchored not stored refs pending

Simultaneous boundary hitting by coupled reflected Brownian motions

Krzysztof Burdzy

arxiv:1812.08355 v1 · 2018-12-20 · 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{OAD5FVJZ3YW6ATJVUQJY4JFGB7}

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	2026-05-17T23:57:51.511185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7007d2d539de2de04d35a4138e24a60fff2bfe89526f7d43f8c80d89b30cbbde

Aliases

arxiv: 1812.08355 · arxiv_version: 1812.08355v1 · doi: 10.48550/arxiv.1812.08355 · pith_short_12: OAD5FVJZ3YW6 · pith_short_16: OAD5FVJZ3YW6ATJV · pith_short_8: OAD5FVJZ

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/OAD5FVJZ3YW6ATJVUQJY4JFGB7 \
  | 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: 7007d2d539de2de04d35a4138e24a60fff2bfe89526f7d43f8c80d89b30cbbde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6b99e0582486137ced0759c4873254f8af1c8f2e6f6039327d54f8acbfa36d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-12-20T04:10:21Z",
    "title_canon_sha256": "48761ad751b8f1b51cbaaddce7117a857895d79510a9e644a77f73adda618873"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08355",
    "kind": "arxiv",
    "version": 1
  }
}