Pith Number

pith:WSNB4OZQ

pith:2017:WSNB4OZQ2UI7OKVH2RP3FTMMGL

not attested not anchored not stored refs pending

Analytic Formulas for Renyi Entropy of Hidden Markov Models

Joachim Breitner, Maciej Skorski

arxiv:1709.09699 v1 · 2017-09-27 · 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{WSNB4OZQ2UI7OKVH2RP3FTMMGL}

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	2026-05-18T00:34:07.008163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b49a1e3b30d511f72aa7d45fb2cd8c32d972b3773c0d3662eea982ecb384e780

Aliases

arxiv: 1709.09699 · arxiv_version: 1709.09699v1 · doi: 10.48550/arxiv.1709.09699 · pith_short_12: WSNB4OZQ2UI7 · pith_short_16: WSNB4OZQ2UI7OKVH · pith_short_8: WSNB4OZQ

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/WSNB4OZQ2UI7OKVH2RP3FTMMGL \
  | 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: b49a1e3b30d511f72aa7d45fb2cd8c32d972b3773c0d3662eea982ecb384e780

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7556968a760ad7a35070233bbb00c501e10fa7f859fc7fec53b48ffd71d9c9b7",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-09-27T18:51:36Z",
    "title_canon_sha256": "52968f9d739d8f68900177a4186d062c21560635fb1930ce8ec4dd31b681f818"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.09699",
    "kind": "arxiv",
    "version": 1
  }
}