Pith Number

pith:EWBTG26T

pith:2013:EWBTG26T2H6PREUKBIER3MJWZY

not attested not anchored not stored refs pending

On the Time for Brownian Motion to Visit Every Point on a Circle

Larry Shepp, Philip Ernst

arxiv:1312.4632 v2 · 2013-12-17 · 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{EWBTG26T2H6PREUKBIER3MJWZY}

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	2026-05-18T01:15:07.177681Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2583336bd3d1fcf8928a0a091db136ce1a44e2448ec9de20f3e44ddf0b18c3d7

Aliases

arxiv: 1312.4632 · arxiv_version: 1312.4632v2 · doi: 10.48550/arxiv.1312.4632 · pith_short_12: EWBTG26T2H6P · pith_short_16: EWBTG26T2H6PREUK · pith_short_8: EWBTG26T

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/EWBTG26T2H6PREUKBIER3MJWZY \
  | 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: 2583336bd3d1fcf8928a0a091db136ce1a44e2448ec9de20f3e44ddf0b18c3d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f70c5954794dc81e4d777e6f908522236d168454607ac52d576246c34001049",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-12-17T04:03:56Z",
    "title_canon_sha256": "6761118f57fd9e5fc5c73f866f208570da124d13e24a8fecd116ec62c31d63eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.4632",
    "kind": "arxiv",
    "version": 2
  }
}