Pith Number

pith:CRYR7J2J

pith:2014:CRYR7J2JOQXSXOMPQHUXRLYVVC

not attested not anchored not stored refs pending

Exact Estimation for Markov Chain Equilibrium Expectations

Chang-han Rhee, Peter W. Glynn

arxiv:1409.4302 v1 · 2014-09-15 · stat.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{CRYR7J2JOQXSXOMPQHUXRLYVVC}

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	2026-05-18T02:42:47.119103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14711fa749742f2bb98f81e978af15a8939e21477d319ed2a62720e8d3254cea

Aliases

arxiv: 1409.4302 · arxiv_version: 1409.4302v1 · doi: 10.48550/arxiv.1409.4302 · pith_short_12: CRYR7J2JOQXS · pith_short_16: CRYR7J2JOQXSXOMP · pith_short_8: CRYR7J2J

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/CRYR7J2JOQXSXOMPQHUXRLYVVC \
  | 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: 14711fa749742f2bb98f81e978af15a8939e21477d319ed2a62720e8d3254cea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c28056a2153aa206299c406709efba1a6057c10895a5741afcc8f49993d48c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2014-09-15T15:50:26Z",
    "title_canon_sha256": "c7035071bd5f830554abe73f585cad2e67cb0de2716823cbae797bda75a63d13"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4302",
    "kind": "arxiv",
    "version": 1
  }
}