Pith Number

pith:U26IXM3R

pith:2015:U26IXM3RKLGNBQE5ELBE3UURL4

not attested not anchored not stored refs pending

Markov chain order estimation with parametric significance tests of conditional mutual information

Dimitris Kugiumtzis, Maria Papapetrou

arxiv:1511.02339 v1 · 2015-11-07 · stat.ME · cs.IT · math.IT · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U26IXM3RKLGNBQE5ELBE3UURL4}

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	2026-05-18T01:27:30.598001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6bc8bb37152ccd0c09d22c24dd2915f3cbb19c61781a6005a3b51b7cad126a6

Aliases

arxiv: 1511.02339 · arxiv_version: 1511.02339v1 · doi: 10.48550/arxiv.1511.02339 · pith_short_12: U26IXM3RKLGN · pith_short_16: U26IXM3RKLGNBQE5 · pith_short_8: U26IXM3R

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/U26IXM3RKLGNBQE5ELBE3UURL4 \
  | 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: a6bc8bb37152ccd0c09d22c24dd2915f3cbb19c61781a6005a3b51b7cad126a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "296cc920fa922bd1762ec8ce7593294cef24a7ea058c8ccdc806cef21a88818d",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2015-11-07T11:12:11Z",
    "title_canon_sha256": "2befe0005fda628298c3278aef235cbb33c7d8fe8902ca10f87a7eaac9f27353"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02339",
    "kind": "arxiv",
    "version": 1
  }
}