Pith Number

pith:UXPPJE4U

pith:2010:UXPPJE4U537CNOSGUE6ND4TPWE

not attested not anchored not stored refs pending

Number variance for hierarchical random walks and related fluctuations

Anna Talarczyk, Luis G. Gorostiza, Tomasz Bojdecki

arxiv:1011.4763 v1 · 2010-11-22 · 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{UXPPJE4U537CNOSGUE6ND4TPWE}

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	2026-05-18T04:00:16.071101Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5def49394eefe26ba46a13cd1f26fb13c0231365a4e6a6cf535126f06ce5c5d

Aliases

arxiv: 1011.4763 · arxiv_version: 1011.4763v1 · doi: 10.48550/arxiv.1011.4763 · pith_short_12: UXPPJE4U537C · pith_short_16: UXPPJE4U537CNOSG · pith_short_8: UXPPJE4U

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/UXPPJE4U537CNOSGUE6ND4TPWE \
  | 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: a5def49394eefe26ba46a13cd1f26fb13c0231365a4e6a6cf535126f06ce5c5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e810538904f9c51cbe93b699e6e805e2a2a63b4fe9e985f13f3e3558493b7efc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-22T10:08:56Z",
    "title_canon_sha256": "3c5f592559a2621663539cbf726366b0250ccd490f2391dfff8f677d2ecb9248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4763",
    "kind": "arxiv",
    "version": 1
  }
}