Pith Number

pith:5HRNTFUO

pith:2014:5HRNTFUOOOMHAT7AQ2YSOXYBWM

not attested not anchored not stored refs pending

Martin-L\"of randomness and Galton-Watson processes

Bj{\o}rn Kjos-Hanssen, David Diamondstone

arxiv:1408.2875 v1 · 2014-08-12 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HRNTFUOOOMHAT7AQ2YSOXYBWM}

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	2026-05-18T02:45:21.055749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9e2d9968e7398704fe086b1275f01b301eb5746be380c43a059d85286ba0c7a

Aliases

arxiv: 1408.2875 · arxiv_version: 1408.2875v1 · doi: 10.48550/arxiv.1408.2875 · pith_short_12: 5HRNTFUOOOMH · pith_short_16: 5HRNTFUOOOMHAT7A · pith_short_8: 5HRNTFUO

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/5HRNTFUOOOMHAT7AQ2YSOXYBWM \
  | 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: e9e2d9968e7398704fe086b1275f01b301eb5746be380c43a059d85286ba0c7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f597ff15c395ad45b340274acda19a4991b334914746847d6c75d3e829defe2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-08-12T23:08:51Z",
    "title_canon_sha256": "833e2e5097a7d1c92b7bf59b9614a4824e4ee8c6bfb6ac339facc60e2be3ca5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.2875",
    "kind": "arxiv",
    "version": 1
  }
}