Pith Number

pith:KKM4LZQP

pith:2015:KKM4LZQP2TPHREODIBDDZS4SAW

not attested not anchored not stored refs pending

Random planar maps & growth-fragmentations

Igor Kortchemski, Jean Bertoin, Nicolas Curien

arxiv:1507.02265 v2 · 2015-07-08 · 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{KKM4LZQP2TPHREODIBDDZS4SAW}

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	2026-05-18T00:23:14.704925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5299c5e60fd4de7891c340463ccb92059396ff79b2f6812b888c3a79a3557416

Aliases

arxiv: 1507.02265 · arxiv_version: 1507.02265v2 · doi: 10.48550/arxiv.1507.02265 · pith_short_12: KKM4LZQP2TPH · pith_short_16: KKM4LZQP2TPHREOD · pith_short_8: KKM4LZQP

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/KKM4LZQP2TPHREODIBDDZS4SAW \
  | 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: 5299c5e60fd4de7891c340463ccb92059396ff79b2f6812b888c3a79a3557416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3896658d387fb971ac8fc0b4928bba4e5acf5f7d146e3f500e653386e815f5b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-07-08T19:28:43Z",
    "title_canon_sha256": "5be59c732a5883b7582fe43914d0391a18a2c4a9cfcc2575b88f660f7719ba5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02265",
    "kind": "arxiv",
    "version": 2
  }
}