Pith Number

pith:AVHXGJMY

pith:2019:AVHXGJMYREZ7NKMXTULFMZ5FZW

not attested not anchored not stored refs pending

On conditioning a self-similar growth-fragmentation by its intrinsic area

Igor Kortchemski, Jean Bertoin, Nicolas Curien

arxiv:1908.07830 v1 · 2019-08-21 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AVHXGJMYREZ7NKMXTULFMZ5FZW}

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	2026-07-04T23:59:01.515825Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

054f7325988933f6a9979d165667a5cdacf6dd3775f7d1f2642457f01323f497

Aliases

arxiv: 1908.07830 · arxiv_version: 1908.07830v1 · doi: 10.48550/arxiv.1908.07830 · pith_short_12: AVHXGJMYREZ7 · pith_short_16: AVHXGJMYREZ7NKMX · pith_short_8: AVHXGJMY

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/AVHXGJMYREZ7NKMXTULFMZ5FZW \
  | 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: 054f7325988933f6a9979d165667a5cdacf6dd3775f7d1f2642457f01323f497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5e680403ae89ff74b700036b4542d72c82b669f9069349883e151c1ef82dc7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-08-21T12:46:06Z",
    "title_canon_sha256": "636442c82875a588c17dd419588a5b53b69f7924cc08d1300a754a1f1228755a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07830",
    "kind": "arxiv",
    "version": 1
  }
}