Pith Number

pith:ST6HSHB3

pith:2012:ST6HSHB3256WIQACYCV3KYFNXY

not attested not anchored not stored refs pending

Recurrence and transience property for a class of Markov chains

Nikola Sandri\'c

arxiv:1203.0447 v2 · 2012-03-02 · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ST6HSHB3256WIQACYCV3KYFNXY}

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	2026-05-18T03:04:22.748379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94fc791c3bd77d644002c0abb560adbe12befb2d6d2402d358971252042fd27b

Aliases

arxiv: 1203.0447 · arxiv_version: 1203.0447v2 · doi: 10.48550/arxiv.1203.0447 · pith_short_12: ST6HSHB3256W · pith_short_16: ST6HSHB3256WIQAC · pith_short_8: ST6HSHB3

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/ST6HSHB3256WIQACYCV3KYFNXY \
  | 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: 94fc791c3bd77d644002c0abb560adbe12befb2d6d2402d358971252042fd27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "900fa3e701e282a9e7219c07330504ac2fad49e2ec6002fec8e7e92a22494a14",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-03-02T12:51:03Z",
    "title_canon_sha256": "0a038729a9f56841f53b79bfddb6bf983c8e399497bb65ca9c2235277f7fdd41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0447",
    "kind": "arxiv",
    "version": 2
  }
}