Pith Number

pith:C3QPTALB

pith:2011:C3QPTALBENPQHQGIVEWNDP6FDY

not attested not anchored not stored refs pending

Do firms share the same functional form of their growth rate distribution? A new statistical test

Fabrizio Lillo, Jos\`e T. Lunardi, Mauro Gallegati, Rosario N. Mantegna, Salvatore Miccich\`e

arxiv:1103.2234 v1 · 2011-03-11 · physics.data-an · q-fin.ST

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C3QPTALBENPQHQGIVEWNDP6FDY}

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	2026-05-18T02:22:30.432136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16e0f98161235f03c0c8a92cd1bfc51e2ea4e14ba661f570c70b0e1b4cdd1043

Aliases

arxiv: 1103.2234 · arxiv_version: 1103.2234v1 · doi: 10.48550/arxiv.1103.2234 · pith_short_12: C3QPTALBENPQ · pith_short_16: C3QPTALBENPQHQGI · pith_short_8: C3QPTALB

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/C3QPTALBENPQHQGIVEWNDP6FDY \
  | 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: 16e0f98161235f03c0c8a92cd1bfc51e2ea4e14ba661f570c70b0e1b4cdd1043

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a2b04d6e2d8f810cbbf5fe718e9223759575529b48487a51823233163503aef",
    "cross_cats_sorted": [
      "q-fin.ST"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2011-03-11T10:31:26Z",
    "title_canon_sha256": "d235d91eed3ecc1a4f7dcadb2b6a67a740cb37575c84b3b9865933b40f707e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2234",
    "kind": "arxiv",
    "version": 1
  }
}