Pith Number

pith:EGHIOINU

pith:2011:EGHIOINUPTPGJ2XDTWENHU5VAF

not attested not anchored not stored refs pending

Markov properties for mixed graphs

Kayvan Sadeghi, Steffen Lauritzen

arxiv:1109.5909 v5 · 2011-09-27 · stat.OT · 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{EGHIOINUPTPGJ2XDTWENHU5VAF}

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	2026-05-18T02:56:35.633760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

218e8721b47cde64eae39d88d3d3b50152bb05563a47fefffe5b4ceeb708f85b

Aliases

arxiv: 1109.5909 · arxiv_version: 1109.5909v5 · doi: 10.48550/arxiv.1109.5909 · pith_short_12: EGHIOINUPTPG · pith_short_16: EGHIOINUPTPGJ2XD · pith_short_8: EGHIOINU

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/EGHIOINUPTPGJ2XDTWENHU5VAF \
  | 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: 218e8721b47cde64eae39d88d3d3b50152bb05563a47fefffe5b4ceeb708f85b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "891f2cf304c70340cae2a99977020d0252c0ba603e47c548466675927fe36733",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2011-09-27T14:26:46Z",
    "title_canon_sha256": "6dbc77f0e847c7fab324f2a8cdb727ea4e2e798cf0fc4d3f8b41f67faed27fa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5909",
    "kind": "arxiv",
    "version": 5
  }
}