Pith Number

pith:VKANWSYG

pith:2010:VKANWSYGYDVLXGDV5X4UXVS745

not attested not anchored not stored refs pending

Shape of Growth Rate Distribution Determines the Type of Non-Gibrat's Property

Atushi Ishikawa, Shouji Fujimoto, Takayuki Mizuno

arxiv:1003.0940 v2 · 2010-03-04 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKANWSYGYDVLXGDV5X4UXVS745}

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	2026-05-18T02:08:46.646494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa80db4b06c0eabb9875edf94bd65fe767c8a75682ddc278b5d01deaff69c8af

Aliases

arxiv: 1003.0940 · arxiv_version: 1003.0940v2 · doi: 10.48550/arxiv.1003.0940 · pith_short_12: VKANWSYGYDVL · pith_short_16: VKANWSYGYDVLXGDV · pith_short_8: VKANWSYG

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/VKANWSYGYDVLXGDV5X4UXVS745 \
  | 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: aa80db4b06c0eabb9875edf94bd65fe767c8a75682ddc278b5d01deaff69c8af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "376e1391aae2125db9ce7380b94dfe6d9ebf7bbbd0eadf0ceb9a5aacfd68a15d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2010-03-04T00:52:50Z",
    "title_canon_sha256": "73ed29f2ab2b4134fdf4e629c6997fea006a13a53bca2e516c0e0eeefb39833c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0940",
    "kind": "arxiv",
    "version": 2
  }
}