Pith Number

pith:HPPHG62L

pith:2010:HPPHG62LVMI34BBTY4YDKXVZ4Y

not attested not anchored not stored refs pending

Stochastic growth of radial clusters: weak convergence to the asymptotic profile and implications for morphogenesis

Carlos Escudero

arxiv:1001.3323 v4 · 2010-01-19 · cond-mat.stat-mech · cond-mat.mtrl-sci · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HPPHG62LVMI34BBTY4YDKXVZ4Y}

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	2026-05-18T04:04:42.703363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bde737b4bab11be0433c730355eb9e60e66db221ca458822b5b03699307aa97

Aliases

arxiv: 1001.3323 · arxiv_version: 1001.3323v4 · doi: 10.48550/arxiv.1001.3323 · pith_short_12: HPPHG62LVMI3 · pith_short_16: HPPHG62LVMI34BBT · pith_short_8: HPPHG62L

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/HPPHG62LVMI34BBTY4YDKXVZ4Y \
  | 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: 3bde737b4bab11be0433c730355eb9e60e66db221ca458822b5b03699307aa97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98cc310300de471c01efd54c17e0086a3681c2b3ba8497020f5b44947c57d454",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2010-01-19T15:10:53Z",
    "title_canon_sha256": "e406019e886e25aca8d9e6e8638da35f0ca4550a60102dfcd4725dae5dcc4cc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3323",
    "kind": "arxiv",
    "version": 4
  }
}