Pith Number

pith:KEFX4CXJ

pith:2013:KEFX4CXJSS2WW6WUYANMWVWUZL

not attested not anchored not stored refs pending

A Polynomial-Time Algorithm for Deciding Markov Equivalence of Directed Cyclic Graphical Models

Thomas S. Richardson

arxiv:1302.3600 v1 · 2013-02-13 · cs.AI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEFX4CXJSS2WW6WUYANMWVWUZL}

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	2026-05-18T03:33:36.528683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

510b7e0ae994b56b7ad4c01acb56d4cade08a9320a889a9e3ca5ea963d1d340e

Aliases

arxiv: 1302.3600 · arxiv_version: 1302.3600v1 · doi: 10.48550/arxiv.1302.3600 · pith_short_12: KEFX4CXJSS2W · pith_short_16: KEFX4CXJSS2WW6WU · pith_short_8: KEFX4CXJ

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/KEFX4CXJSS2WW6WUYANMWVWUZL \
  | 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: 510b7e0ae994b56b7ad4c01acb56d4cade08a9320a889a9e3ca5ea963d1d340e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c9200ddf8ad50680d6402ebf64367cee95e265536b8cfea98f5febcdc306049",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.AI",
    "submitted_at": "2013-02-13T14:16:18Z",
    "title_canon_sha256": "124b1f29167a2c345a2c7a2e31f42dcc301003751cd859491c5487aa1da7732d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3600",
    "kind": "arxiv",
    "version": 1
  }
}