Pith Number

pith:Z3ZTRCMQ

pith:2013:Z3ZTRCMQIED3RDHDCEXWLZVDBZ

not attested not anchored not stored refs pending

Simple random walk on distance-regular graphs

Greg Markowsky

arxiv:1301.6394 v1 · 2013-01-27 · math.PR · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z3ZTRCMQIED3RDHDCEXWLZVDBZ}

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	2026-05-18T03:35:15.528541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cef33889904107b88ce3112f65e6a30e62447e3133e87815fcbecd1c37d70ec4

Aliases

arxiv: 1301.6394 · arxiv_version: 1301.6394v1 · doi: 10.48550/arxiv.1301.6394 · pith_short_12: Z3ZTRCMQIED3 · pith_short_16: Z3ZTRCMQIED3RDHD · pith_short_8: Z3ZTRCMQ

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/Z3ZTRCMQIED3RDHDCEXWLZVDBZ \
  | 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: cef33889904107b88ce3112f65e6a30e62447e3133e87815fcbecd1c37d70ec4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90628eb5027463ec9bd32da0a72c811ff73cc85db1926926f054963dfc484ea3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-27T20:26:16Z",
    "title_canon_sha256": "8a5d4722d2f3386192a521c9c36da5fb1e56b5aba3b6a7db1c0081f3208d315e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.6394",
    "kind": "arxiv",
    "version": 1
  }
}