Pith Number

pith:E7GVIW5K

pith:2009:E7GVIW5KPO3ACWBVDAVMNR5CAX

not attested not anchored not stored refs pending

Optimal co-adapted coupling for a random walk on the hyper-complete-graph

Stephen B. Connor

arxiv:0908.2038 v2 · 2009-08-14 · 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{E7GVIW5KPO3ACWBVDAVMNR5CAX}

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	2026-05-18T02:57:36.277294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27cd545baa7bb6015835182ac6c7a205ea39dffb4b4002225081e02980d291c6

Aliases

arxiv: 0908.2038 · arxiv_version: 0908.2038v2 · doi: 10.48550/arxiv.0908.2038 · pith_short_12: E7GVIW5KPO3A · pith_short_16: E7GVIW5KPO3ACWBV · pith_short_8: E7GVIW5K

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/E7GVIW5KPO3ACWBVDAVMNR5CAX \
  | 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: 27cd545baa7bb6015835182ac6c7a205ea39dffb4b4002225081e02980d291c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b382033e4f7fd539bc0d04299aed3731011e0afb576daf9f58ebcfcbcc69bcda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2009-08-14T10:56:40Z",
    "title_canon_sha256": "97d9669c5c1fccfe39cf9be3d085e32a3d26f2d204f4e2b824c9df73bd725e03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.2038",
    "kind": "arxiv",
    "version": 2
  }
}