Pith Number

pith:JWGVARSA

pith:1999:JWGVARSAU4OFGGARY3GGOFX5AN

not attested not anchored not stored refs pending

How to Couple from the Past Using a Read-Once Source of Randomness

David B. Wilson

arxiv:math/9910050 v1 · 1999-10-09 · 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{JWGVARSAU4OFGGARY3GGOFX5AN}

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	2026-05-18T03:53:17.994127Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d8d504640a71c531811c6cc6716fd037fc94b47865e2d3a3847853ede2e9e5d

Aliases

arxiv: math/9910050 · arxiv_version: math/9910050v1 · doi: 10.48550/arxiv.math/9910050 · pith_short_12: JWGVARSAU4OF · pith_short_16: JWGVARSAU4OFGGAR · pith_short_8: JWGVARSA

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/JWGVARSAU4OFGGARY3GGOFX5AN \
  | 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: 4d8d504640a71c531811c6cc6716fd037fc94b47865e2d3a3847853ede2e9e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aff2fa9ffeb80c56a10f5a9fc712881a4d54d3ef9ace9589a9348083bcf01820",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "1999-10-09T01:23:54Z",
    "title_canon_sha256": "7c24f81e0f917943caa0450019d9d1da94a50a2c960abfdfa13744dffb23c549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9910050",
    "kind": "arxiv",
    "version": 1
  }
}