Pith Number

pith:HEBM4ICU

pith:2010:HEBM4ICURGRFUICD25TOSTH6DA

not attested not anchored not stored refs pending

Brownian earthworm

Krzysztof Burdzy, Soumik Pal, Zhen-Qing Chen

arxiv:1011.5442 v2 · 2010-11-24 · math.PR

Open paper page JSON Open Graph Bundle Merged state What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HEBM4ICURGRFUICD25TOSTH6DA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:04:50.262163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3902ce205489a25a2043d766e94cfe183e511fd88f2efac1eca89b97bdbaed5a

Aliases

arxiv: 1011.5442 · arxiv_version: 1011.5442v2 · doi: 10.48550/arxiv.1011.5442 · pith_short_12: HEBM4ICURGRF · pith_short_16: HEBM4ICURGRFUICD · pith_short_8: HEBM4ICU

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/HEBM4ICURGRFUICD25TOSTH6DA \
  | 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: 3902ce205489a25a2043d766e94cfe183e511fd88f2efac1eca89b97bdbaed5a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b93afa027636360b862ea655e81bdf6ce7ca5563b1d906aeaeb4c649affbb90",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-11-24T17:50:56Z",
    "title_canon_sha256": "67609c4b9b2ce1e30dae2ef7ed2e32428d82b1cab5199fc514d82c3ddb505c67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.5442",
    "kind": "arxiv",
    "version": 2
  }
}