Pith Number

pith:LRMVS6SJ

pith:2016:LRMVS6SJNZ2SCVM7YBSTGWE2AT

not attested not anchored not stored refs pending

Formulas for Counting the Sizes of Markov Equivalence Classes of Directed Acyclic Graphs

Bin Yu, Yangbo He

arxiv:1610.07921 v1 · 2016-10-23 · stat.ML · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LRMVS6SJNZ2SCVM7YBSTGWE2AT}

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	2026-05-18T01:01:17.182620Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c59597a496e7521559fc06533589a04c46e5f04b323d6548c3443dc7b440157

Aliases

arxiv: 1610.07921 · arxiv_version: 1610.07921v1 · doi: 10.48550/arxiv.1610.07921 · pith_short_12: LRMVS6SJNZ2S · pith_short_16: LRMVS6SJNZ2SCVM7 · pith_short_8: LRMVS6SJ

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/LRMVS6SJNZ2SCVM7YBSTGWE2AT \
  | 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: 5c59597a496e7521559fc06533589a04c46e5f04b323d6548c3443dc7b440157

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9c7e84c8d463a8a117ef75787e99c3dd967c076f2744b94dcc25bac3fe22f79",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2016-10-23T16:28:33Z",
    "title_canon_sha256": "c6329c6e449e1aac7852eedd82f2aaf923a2fda922e2b6bbedc060b9dfb0d65c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07921",
    "kind": "arxiv",
    "version": 1
  }
}