Pith Number

pith:SWJPYBO2

pith:2018:SWJPYBO2O3FIAAFDVR75MQ6ZZT

not attested not anchored not stored refs pending

Entropy Rate Estimation for Markov Chains with Large State Space

Chuan-Zheng Lee, Jiantao Jiao, Tiancheng Yu, Tsachy Weissman, Yanjun Han, Yihong Wu

arxiv:1802.07889 v3 · 2018-02-22 · cs.LG · math.ST · stat.ML · 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{SWJPYBO2O3FIAAFDVR75MQ6ZZT}

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	2026-05-18T00:05:05.235672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9592fc05da76ca8000a3ac7fd643d9ccda8c3656339e73b21fe61d830e5bccb2

Aliases

arxiv: 1802.07889 · arxiv_version: 1802.07889v3 · doi: 10.48550/arxiv.1802.07889 · pith_short_12: SWJPYBO2O3FI · pith_short_16: SWJPYBO2O3FIAAFD · pith_short_8: SWJPYBO2

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/SWJPYBO2O3FIAAFDVR75MQ6ZZT \
  | 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: 9592fc05da76ca8000a3ac7fd643d9ccda8c3656339e73b21fe61d830e5bccb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8369eae4d7f9d155300bbf598fb7432c686cc76be021ca7832a60ab276a0eb2",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2018-02-22T03:10:17Z",
    "title_canon_sha256": "262b2a838aed72ea6ccb84a7f8c014b9bc9d66fd5eb99d8b2e065c94e7164e98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.07889",
    "kind": "arxiv",
    "version": 3
  }
}