Pith Number

pith:R362PUBX

pith:2011:R362PUBXZUAAP6V264G2I35CM3

not attested not anchored not stored refs pending

Unbiased shifts of Brownian motion

G\"unter Last, Hermann Thorisson, Peter M\"orters

arxiv:1112.5373 v2 · 2011-12-22 · 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{R362PUBXZUAAP6V264G2I35CM3}

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	2026-05-18T02:57:53.953547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8efda7d037cd0007fabaf70da46fa266cd74199a879d5339793b8d08e2180fd1

Aliases

arxiv: 1112.5373 · arxiv_version: 1112.5373v2 · doi: 10.48550/arxiv.1112.5373 · pith_short_12: R362PUBXZUAA · pith_short_16: R362PUBXZUAAP6V2 · pith_short_8: R362PUBX

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/R362PUBXZUAAP6V264G2I35CM3 \
  | 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: 8efda7d037cd0007fabaf70da46fa266cd74199a879d5339793b8d08e2180fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6992fafc3ce8a4172f505052d107eea1ddebf562a59226c42b13c08b328aecc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-12-22T16:42:58Z",
    "title_canon_sha256": "1b6ccfc86d2f9217395ddb09fcb51b7940ecf836e9b0f2c3f9bfe7cec7d2271d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5373",
    "kind": "arxiv",
    "version": 2
  }
}