Pith Number

pith:BR2VXQVI

pith:2010:BR2VXQVIDTH42TP6KXLTKC6YNB

not attested not anchored not stored refs pending

Intrinsic branching structure within random walk on $\mathbb{Z}$

Huaming Wang, Wenming Hong

arxiv:1012.0636 v1 · 2010-12-03 · 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{BR2VXQVIDTH42TP6KXLTKC6YNB}

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	2026-05-18T04:34:09.670374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c755bc2a81ccfcd4dfe55d7350bd86854dc7a0fdab7d2dad019de3b58bb6fc8

Aliases

arxiv: 1012.0636 · arxiv_version: 1012.0636v1 · doi: 10.48550/arxiv.1012.0636 · pith_short_12: BR2VXQVIDTH4 · pith_short_16: BR2VXQVIDTH42TP6 · pith_short_8: BR2VXQVI

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/BR2VXQVIDTH42TP6KXLTKC6YNB \
  | 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: 0c755bc2a81ccfcd4dfe55d7350bd86854dc7a0fdab7d2dad019de3b58bb6fc8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de41cfe83e01daebd4e9877e38a742e1ab7a8e7ca957188039d10133a42edb63",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-03T04:15:32Z",
    "title_canon_sha256": "b6e4d5f22822e1d47f48d972dbab4035d7ce7fdf5246bbccdade171dba13baec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0636",
    "kind": "arxiv",
    "version": 1
  }
}