Pith Number

pith:M4ZQRBOH

pith:2013:M4ZQRBOHEB7PK4FNXYCTZHMSMG

not attested not anchored not stored refs pending

Comparison Theory for Markov Chains on Different State Spaces and Application to Random Walk on Derangements

Aaron Smith

arxiv:1301.7357 v2 · 2013-01-30 · 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{M4ZQRBOHEB7PK4FNXYCTZHMSMG}

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	2026-05-18T03:34:13.575262Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67330885c7207ef570adbe053c9d9261ab46ac7d527d3606ad1f0359fd20109c

Aliases

arxiv: 1301.7357 · arxiv_version: 1301.7357v2 · doi: 10.48550/arxiv.1301.7357 · pith_short_12: M4ZQRBOHEB7P · pith_short_16: M4ZQRBOHEB7PK4FN · pith_short_8: M4ZQRBOH

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/M4ZQRBOHEB7PK4FNXYCTZHMSMG \
  | 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: 67330885c7207ef570adbe053c9d9261ab46ac7d527d3606ad1f0359fd20109c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b86629cbf7486f634cd30789372fa49f6863ed66dca39143bd47bba8e63a000",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-01-30T20:59:29Z",
    "title_canon_sha256": "a2052252af6a4f74532984b21836ebf74b0ab97e7bbf2071cbd463b28dc1e8fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7357",
    "kind": "arxiv",
    "version": 2
  }
}