Pith Number

pith:GBBANY3D

pith:2012:GBBANY3DX4DUGLLCISO4AXTSRC

not attested not anchored not stored refs pending

On the net reproduction rate of continuous structured populations with distributed states at birth

Azmy S. Ackleh, Jozsef Z. Farkas

arxiv:1202.3800 v2 · 2012-02-16 · q-bio.PE · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GBBANY3DX4DUGLLCISO4AXTSRC}

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	2026-05-17T23:52:08.835630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

304206e363bf07432d62449dc05e728889c654e04de33f9c986f76b9282a5eec

Aliases

arxiv: 1202.3800 · arxiv_version: 1202.3800v2 · doi: 10.48550/arxiv.1202.3800 · pith_short_12: GBBANY3DX4DU · pith_short_16: GBBANY3DX4DUGLLC · pith_short_8: GBBANY3D

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/GBBANY3DX4DUGLLCISO4AXTSRC \
  | 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: 304206e363bf07432d62449dc05e728889c654e04de33f9c986f76b9282a5eec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf0a4bca8138835bcad673168f63030bf8765d0fc3be51a4c351cec7df74d777",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2012-02-16T21:27:58Z",
    "title_canon_sha256": "6d78aaa8df5fe080697edb4fe0dd54659cecd5b60b36e763b7faae086f5d87d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3800",
    "kind": "arxiv",
    "version": 2
  }
}