Pith Number

pith:HGWK5LJO

pith:2014:HGWK5LJOZ2MAJQD4NEFR7KRJZZ

not attested not anchored not stored refs pending

An efficient algorithm for the entropy rate of a hidden Markov model with unambiguous symbols

Jaideep Mulherkar

arxiv:1402.2733 v2 · 2014-02-12 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HGWK5LJOZ2MAJQD4NEFR7KRJZZ}

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	2026-05-18T02:58:44.846448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39acaead2ece9804c07c690b1faa29ce52b7e0addeb92d95bcff1e1485393c51

Aliases

arxiv: 1402.2733 · arxiv_version: 1402.2733v2 · doi: 10.48550/arxiv.1402.2733 · pith_short_12: HGWK5LJOZ2MA · pith_short_16: HGWK5LJOZ2MAJQD4 · pith_short_8: HGWK5LJO

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/HGWK5LJOZ2MAJQD4NEFR7KRJZZ \
  | 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: 39acaead2ece9804c07c690b1faa29ce52b7e0addeb92d95bcff1e1485393c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "11f4d678f704448b93f474e1d187555985d765bff6ca2a0f1d08a8621bb7f42c",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-02-12T04:48:10Z",
    "title_canon_sha256": "be2c8f87348e831867b84c34eff30043c166a506d2a35b250b8e0b5d2a0aca39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.2733",
    "kind": "arxiv",
    "version": 2
  }
}