Pith Number

pith:5FLUFFZ4

pith:2013:5FLUFFZ4VTEY62X2XZTCXIH22E

not attested not anchored not stored refs pending

Fractal growth of tumors and other cellular populations: Linking the mechanistic to the phenomenological modeling and vice versa

Alberto d'Onofrio

arxiv:1309.3329 v1 · 2013-09-12 · q-bio.TO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FLUFFZ4VTEY62X2XZTCXIH22E}

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	2026-05-18T03:13:22.917945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e95742973cacc98f6afabe662ba0fad1033ba0b5bcfb5b9e71f71a033c7f72e7

Aliases

arxiv: 1309.3329 · arxiv_version: 1309.3329v1 · doi: 10.48550/arxiv.1309.3329 · pith_short_12: 5FLUFFZ4VTEY · pith_short_16: 5FLUFFZ4VTEY62X2 · pith_short_8: 5FLUFFZ4

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/5FLUFFZ4VTEY62X2XZTCXIH22E \
  | 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: e95742973cacc98f6afabe662ba0fad1033ba0b5bcfb5b9e71f71a033c7f72e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9271dbdee11de9fc87cdb4f6142f19c7fbbc28baf4e657e115a4c8711dff970d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.TO",
    "submitted_at": "2013-09-12T23:05:17Z",
    "title_canon_sha256": "f3664b7976dec8c314af493c0327fb04a0103a4cb71cc6ee07f3e5ccc2a178d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3329",
    "kind": "arxiv",
    "version": 1
  }
}