Pith Number

pith:U6R7V6XG

pith:2012:U6R7V6XGR5THFHZBVEYAFYNSBM

not attested not anchored not stored refs pending

Markov Equivalence Classes for Maximal Ancestral Graphs

Ayesha R. Ali, Thomas S. Richardson

arxiv:1301.0550 v1 · 2012-12-12 · cs.AI · 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{U6R7V6XGR5THFHZBVEYAFYNSBM}

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	2026-05-18T03:37:18.649955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7a3fafae68f66729f21a93002e1b20b16e34825ed5c8f0fd7e0b45d819940b2

Aliases

arxiv: 1301.0550 · arxiv_version: 1301.0550v1 · doi: 10.48550/arxiv.1301.0550 · pith_short_12: U6R7V6XGR5TH · pith_short_16: U6R7V6XGR5THFHZB · pith_short_8: U6R7V6XG

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/U6R7V6XGR5THFHZBVEYAFYNSBM \
  | 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: a7a3fafae68f66729f21a93002e1b20b16e34825ed5c8f0fd7e0b45d819940b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "648ea9ddaf87b12cbb19b3c5c77af91ac5c1c20222a8f87c92df9eded4d3736e",
    "cross_cats_sorted": [
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2012-12-12T15:55:00Z",
    "title_canon_sha256": "2c48872c370d0c280b06359062c7c931e9d061267e781916f7f6dda00635d7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0550",
    "kind": "arxiv",
    "version": 1
  }
}