Pith Number

pith:CZJSUKTY

pith:2013:CZJSUKTYSAQ4YFE5ZQVC3KYQKW

not attested not anchored not stored refs pending

Markov Chain Order estimation with Conditional Mutual Information

Dimitris Kugiumtzis, Maria Papapetrou

arxiv:1301.0148 v1 · 2013-01-01 · physics.data-an · cs.IT · math.IT · stat.ME

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CZJSUKTYSAQ4YFE5ZQVC3KYQKW}

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	2026-05-18T03:37:28.059039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16532a2a789021cc149dcc2a2dab1055b3dba7478a67fad96d518144c8cca033

Aliases

arxiv: 1301.0148 · arxiv_version: 1301.0148v1 · doi: 10.48550/arxiv.1301.0148 · pith_short_12: CZJSUKTYSAQ4 · pith_short_16: CZJSUKTYSAQ4YFE5 · pith_short_8: CZJSUKTY

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/CZJSUKTYSAQ4YFE5ZQVC3KYQKW \
  | 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: 16532a2a789021cc149dcc2a2dab1055b3dba7478a67fad96d518144c8cca033

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d687f61dcd8ee0e57b2de94edcb0f52f12bb7b29241e38a5d7caf2f1b356ad0",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2013-01-01T23:54:15Z",
    "title_canon_sha256": "8704e58ef0f71d314cca1c2073078721470f113c68b8d11518e4304a8c6749e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0148",
    "kind": "arxiv",
    "version": 1
  }
}