Pith Number

pith:622M7EAN

pith:2010:622M7EANN25Y4POLZN24DA6NDE

not attested not anchored not stored refs pending

Rate of convergence to an asymptotic profile for the self-similar fragmentation and growth-fragmentation equations

Jos\'e A. Ca\~nizo, Mar\'ia J. C\'aceres, St\'ephane Mischler

arxiv:1010.5461 v2 · 2010-10-26 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{622M7EANN25Y4POLZN24DA6NDE}

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	2026-05-18T04:06:56.826022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6b4cf900d6ebb8e3dcbcb75c183cd193b75f6ca789785b421b11cbaaff0f5e8

Aliases

arxiv: 1010.5461 · arxiv_version: 1010.5461v2 · doi: 10.48550/arxiv.1010.5461 · pith_short_12: 622M7EANN25Y · pith_short_16: 622M7EANN25Y4POL · pith_short_8: 622M7EAN

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/622M7EANN25Y4POLZN24DA6NDE \
  | 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: f6b4cf900d6ebb8e3dcbcb75c183cd193b75f6ca789785b421b11cbaaff0f5e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6af95c1dd508274f21776df6180287c569208ea0d5ca5eede62ceebc4e076d23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-26T17:02:09Z",
    "title_canon_sha256": "57dc038ad43ae7377a980b52a9f435d5de4722c571766455b69e75c33a00c594"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5461",
    "kind": "arxiv",
    "version": 2
  }
}