Pith Number

pith:Q4MAYWYZ

pith:2017:Q4MAYWYZJXHXCF5LKKPWSPTBJB

not attested not anchored not stored refs pending

A structural Markov property for decomposable graph laws that allows control of clique intersections

Alun Thomas, Peter J Green

arxiv:1705.00554 v2 · 2017-05-01 · stat.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4MAYWYZJXHXCF5LKKPWSPTBJB}

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	2026-05-18T00:32:30.965757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87180c5b194dcf7117ab529f693e61487bdae1e93c7dca724c73ffb66dcc97c9

Aliases

arxiv: 1705.00554 · arxiv_version: 1705.00554v2 · doi: 10.48550/arxiv.1705.00554 · pith_short_12: Q4MAYWYZJXHX · pith_short_16: Q4MAYWYZJXHXCF5L · pith_short_8: Q4MAYWYZ

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/Q4MAYWYZJXHXCF5LKKPWSPTBJB \
  | 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: 87180c5b194dcf7117ab529f693e61487bdae1e93c7dca724c73ffb66dcc97c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e3c9479b7e9dd9be7ff8fcf0da5763f33af2872411dfed6de8490b27678401d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.CO",
    "submitted_at": "2017-05-01T14:59:56Z",
    "title_canon_sha256": "cce70de71aef2b23dcd961a7b4c168216dd90f60ef74089facdd2bec1d665c98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.00554",
    "kind": "arxiv",
    "version": 2
  }
}