Pith Number

pith:ATFDQBYT

pith:2010:ATFDQBYTMOPPYTM5AOVLDPUFK2

not attested not anchored not stored refs pending

Random walk with barycentric self-interaction

Andrew R. Wade, Francis Comets, Mikhail V. Menshikov, Stanislav Volkov

arxiv:1003.3121 v2 · 2010-03-16 · 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{ATFDQBYTMOPPYTM5AOVLDPUFK2}

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	2026-05-18T04:19:43.838627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

04ca380713639efc4d9d03aab1be85568eb69bcb070718d7e630196299c9860a

Aliases

arxiv: 1003.3121 · arxiv_version: 1003.3121v2 · doi: 10.48550/arxiv.1003.3121 · pith_short_12: ATFDQBYTMOPP · pith_short_16: ATFDQBYTMOPPYTM5 · pith_short_8: ATFDQBYT

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/ATFDQBYTMOPPYTM5AOVLDPUFK2 \
  | 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: 04ca380713639efc4d9d03aab1be85568eb69bcb070718d7e630196299c9860a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bbfcb21e2aa91f114b7782d68b2d5ad6ded805cd10a89b4a4e28840393185f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-03-16T10:34:09Z",
    "title_canon_sha256": "d21af4fd389085696d79cb99778006f8e3cadde2fed519e3eaef5bf13e6ce8a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.3121",
    "kind": "arxiv",
    "version": 2
  }
}