Pith Number

pith:X4UIL3G2

pith:2018:X4UIL3G2ODCZYUIXQNJKOX4NMH

not attested not anchored not stored refs pending

Estimating the division rate and kernel in the fragmentation equation

Magali Tournus (ECM), Marie Doumic (MAMBA), Miguel Escobedo

arxiv:1804.08945 v1 · 2018-04-24 · 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{X4UIL3G2ODCZYUIXQNJKOX4NMH}

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	2026-05-18T00:12:41.215147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf2885ecda70c59c51178352a75f8d61ff40f32b5802a0050c79086ad027ec98

Aliases

arxiv: 1804.08945 · arxiv_version: 1804.08945v1 · doi: 10.48550/arxiv.1804.08945 · pith_short_12: X4UIL3G2ODCZ · pith_short_16: X4UIL3G2ODCZYUIX · pith_short_8: X4UIL3G2

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/X4UIL3G2ODCZYUIXQNJKOX4NMH \
  | 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: bf2885ecda70c59c51178352a75f8d61ff40f32b5802a0050c79086ad027ec98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2163176b64ff5697438dd27c5ec645098e25ae85906ee99df448b103fdc1a679",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-04-24T10:34:52Z",
    "title_canon_sha256": "ade47389162dbfc5bdb876d1ef0d814617ac76eb5204faaf7b14c75665a180d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.08945",
    "kind": "arxiv",
    "version": 1
  }
}