Pith Number

pith:MSB52G7F

pith:2016:MSB52G7F3W37YFSHBTO4D2VBHW

not attested not anchored not stored refs pending

Weighted sampling without replacement

Anna Ben-Hamou, Justin Salez, Yuval Peres

arxiv:1603.06556 v1 · 2016-03-21 · 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{MSB52G7F3W37YFSHBTO4D2VBHW}

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	2026-05-18T01:18:48.278526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6483dd1be5ddb7fc16470cddc1eaa13d808435108a9143e351baa3d02867a97e

Aliases

arxiv: 1603.06556 · arxiv_version: 1603.06556v1 · doi: 10.48550/arxiv.1603.06556 · pith_short_12: MSB52G7F3W37 · pith_short_16: MSB52G7F3W37YFSH · pith_short_8: MSB52G7F

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/MSB52G7F3W37YFSHBTO4D2VBHW \
  | 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: 6483dd1be5ddb7fc16470cddc1eaa13d808435108a9143e351baa3d02867a97e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e389190d71caba10e912f4d78e3c871f8379829a0c5332b109da23a19b44ff0a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-03-21T19:44:24Z",
    "title_canon_sha256": "125fb1a039e3578fef2777d1586383ee59df5fb1a3b9647fc73fb9600e9345b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06556",
    "kind": "arxiv",
    "version": 1
  }
}