Pith Number

pith:HR54X7ZV

pith:2010:HR54X7ZVD4KF5XUD7Z3JBFYFZY

not attested not anchored not stored refs pending

Stochastic origin of Gompertzian growths

E. De Lauro, S. De Martino, S. De Siena, V. Giorno

arxiv:1012.4978 v1 · 2010-12-22 · q-bio.QM · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HR54X7ZVD4KF5XUD7Z3JBFYFZY}

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	2026-05-18T04:32:44.791739Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c7bcbff351f145ede83fe76909705ce399617d27b3f3176a0302d1ea2cd34cc

Aliases

arxiv: 1012.4978 · arxiv_version: 1012.4978v1 · doi: 10.48550/arxiv.1012.4978 · pith_short_12: HR54X7ZVD4KF · pith_short_16: HR54X7ZVD4KF5XUD · pith_short_8: HR54X7ZV

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/HR54X7ZVD4KF5XUD7Z3JBFYFZY \
  | 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: 3c7bcbff351f145ede83fe76909705ce399617d27b3f3176a0302d1ea2cd34cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a6ab906b48342f3f3b0bce6ea948d428854f3532077dc1e5a18be53bc39aaca6",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.QM",
    "submitted_at": "2010-12-22T14:00:43Z",
    "title_canon_sha256": "388ca4173a857931f0933f79b99df9dd37a0c112223281f915d355d99f3e8416"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4978",
    "kind": "arxiv",
    "version": 1
  }
}