Pith Number

pith:F6ZFLLPJ

pith:2011:F6ZFLLPJ2EQWEJCALQ4ZYNXGZR

not attested not anchored not stored refs pending

Markov Equivalences for Subclasses of Loopless Mixed Graphs

Kayvan Sadeghi

arxiv:1110.4539 v1 · 2011-10-20 · stat.OT · math.ST · stat.ML · 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{F6ZFLLPJ2EQWEJCALQ4ZYNXGZR}

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	2026-05-18T04:10:36.540890Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb255ade9d1216224405c399c36e6cc440507349804ae3a500725116c0cae93

Aliases

arxiv: 1110.4539 · arxiv_version: 1110.4539v1 · doi: 10.48550/arxiv.1110.4539 · pith_short_12: F6ZFLLPJ2EQW · pith_short_16: F6ZFLLPJ2EQWEJCA · pith_short_8: F6ZFLLPJ

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/F6ZFLLPJ2EQWEJCALQ4ZYNXGZR \
  | 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: 2fb255ade9d1216224405c399c36e6cc440507349804ae3a500725116c0cae93

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01d05c286d32500aedc4b0492e8fe0229fede76a4f10d4e92622c54aaafefb69",
    "cross_cats_sorted": [
      "math.ST",
      "stat.ML",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.OT",
    "submitted_at": "2011-10-20T14:30:15Z",
    "title_canon_sha256": "838edf72c7b94cc59bec7220f21f8af81e5dcb25f846268d30faf1c75be9f42c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.4539",
    "kind": "arxiv",
    "version": 1
  }
}