Pith Number

pith:GHW254NW

pith:2012:GHW254NWSPLBIX7TLPHIAHHR4P

not attested not anchored not stored refs pending

Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs

Bin Yu, Jinzhu Jia, Yangbo He

arxiv:1209.5860 v3 · 2012-09-26 · stat.ML · cs.DM · 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{GHW254NWSPLBIX7TLPHIAHHR4P}

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	2026-05-18T03:00:49.818498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31edaef1b693d6145ff35bce801cf1e3e2ca9ee233e6b0746e25f940f5cd2c3a

Aliases

arxiv: 1209.5860 · arxiv_version: 1209.5860v3 · doi: 10.48550/arxiv.1209.5860 · pith_short_12: GHW254NWSPLB · pith_short_16: GHW254NWSPLBIX7T · pith_short_8: GHW254NW

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/GHW254NWSPLBIX7TLPHIAHHR4P \
  | 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: 31edaef1b693d6145ff35bce801cf1e3e2ca9ee233e6b0746e25f940f5cd2c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297e39a850e25de7a8276e8e179322d6db2b44fc9ff71e5b45b031dad0b303eb",
    "cross_cats_sorted": [
      "cs.DM",
      "stat.ME"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2012-09-26T08:13:54Z",
    "title_canon_sha256": "804e8dffefa0cbd15b41fdabbb363da1c075175e9ff747691a4d557f30eb2f79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5860",
    "kind": "arxiv",
    "version": 3
  }
}