Pith Number

pith:HQO662Z6

pith:2011:HQO662Z6FKMKJSX2NGUGU3TECU

not attested not anchored not stored refs pending

A note on global Markov properties for mixed graphs

Michael Eichler

arxiv:1107.3036 v2 · 2011-07-15 · 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{HQO662Z6FKMKJSX2NGUGU3TECU}

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	2026-05-18T04:08:13.406359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c1def6b3e2a98a4cafa69a86a6e641531cb6217d27bc6b596e7ef666507b458

Aliases

arxiv: 1107.3036 · arxiv_version: 1107.3036v2 · doi: 10.48550/arxiv.1107.3036 · pith_short_12: HQO662Z6FKMK · pith_short_16: HQO662Z6FKMKJSX2 · pith_short_8: HQO662Z6

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/HQO662Z6FKMKJSX2NGUGU3TECU \
  | 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: 3c1def6b3e2a98a4cafa69a86a6e641531cb6217d27bc6b596e7ef666507b458

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "240177dd0108dafc69984d025ec8e1f3de6fb134bc0bdbc7962ba9c0e50eb6ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ME",
    "submitted_at": "2011-07-15T10:29:07Z",
    "title_canon_sha256": "606d5f4939c211d50cdd3f895dbbfa8c0540c63e60ce2ffd1af1cdcedb9a72b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.3036",
    "kind": "arxiv",
    "version": 2
  }
}