pith. sign in
Pith Number

pith:3FNLEHFN

pith:2008:3FNLEHFNHJYLJJWFUO2BZKJLLX
not attested not anchored not stored refs pending

Non-Gibrat's law in the middle scale region

Atushi Ishikawa, Masashi Tomoyose, Shouji Fujimoto

arxiv:0809.3060 v1 · 2008-09-18 · physics.soc-ph · q-fin.CP · q-fin.GN

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{3FNLEHFNHJYLJJWFUO2BZKJLLX}

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 2026-05-18T02:15:34.403150Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

d95ab21cad3a70b4a6c5a3b41ca92b5dd2326355a1c727b0738d644269d0d616

Aliases

arxiv: 0809.3060 · arxiv_version: 0809.3060v1 · doi: 10.48550/arxiv.0809.3060 · pith_short_12: 3FNLEHFNHJYL · pith_short_16: 3FNLEHFNHJYLJJWF · pith_short_8: 3FNLEHFN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/3FNLEHFNHJYLJJWFUO2BZKJLLX \
  | 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: d95ab21cad3a70b4a6c5a3b41ca92b5dd2326355a1c727b0738d644269d0d616
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "523efd9b7c68745c5a3fd7006246ca19d4713ef5f820b62282185a18abff66d4",
    "cross_cats_sorted": [
      "q-fin.CP",
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2008-09-18T04:32:54Z",
    "title_canon_sha256": "7014a9466d8290198471c2b41e41b22b2ab56f8ab780ad39a59ccbe123463994"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0809.3060",
    "kind": "arxiv",
    "version": 1
  }
}