Pith Number

pith:O3OR4WYB

pith:2016:O3OR4WYBK54ZLHGSMKBFR4YDW6

not attested not anchored not stored refs pending

Unifying Markov Properties for Graphical Models

Kayvan Sadeghi, Steffen Lauritzen

arxiv:1608.05810 v4 · 2016-08-20 · math.ST · stat.OT · 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{O3OR4WYBK54ZLHGSMKBFR4YDW6}

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	2026-05-18T00:40:33.446789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76dd1e5b015779959cd2628258f303b78b2f371b0dd01e2d128a6a8669ba4d98

Aliases

arxiv: 1608.05810 · arxiv_version: 1608.05810v4 · doi: 10.48550/arxiv.1608.05810 · pith_short_12: O3OR4WYBK54Z · pith_short_16: O3OR4WYBK54ZLHGS · pith_short_8: O3OR4WYB

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/O3OR4WYBK54ZLHGSMKBFR4YDW6 \
  | 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: 76dd1e5b015779959cd2628258f303b78b2f371b0dd01e2d128a6a8669ba4d98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4e35f6b497ab3c50a521afb5345c9bb37c26190ec32a1c1876b31eb916f2058",
    "cross_cats_sorted": [
      "stat.OT",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2016-08-20T11:25:08Z",
    "title_canon_sha256": "45a94d38932be8ab1a8ad9bade42f7fac29feb7d18cf148c6b661430967136dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.05810",
    "kind": "arxiv",
    "version": 4
  }
}