Pith Number

pith:Y5XDXOCP

pith:2013:Y5XDXOCP4G7ATHHXMWMWCOY4IZ

not attested not anchored not stored refs pending

Population Dynamics with Infinite Leslie Matrices

Ant\'onio Bravo, Henrique Oliveira, Jo\~ao Alves

arxiv:1307.4036 v4 · 2013-07-15 · q-bio.PE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5XDXOCP4G7ATHHXMWMWCOY4IZ}

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	2026-05-18T02:25:26.739848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c76e3bb84fe1be099cf76599613b1c46470595d6def1c70aceda533cb2a31130

Aliases

arxiv: 1307.4036 · arxiv_version: 1307.4036v4 · doi: 10.48550/arxiv.1307.4036 · pith_short_12: Y5XDXOCP4G7A · pith_short_16: Y5XDXOCP4G7ATHHX · pith_short_8: Y5XDXOCP

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/Y5XDXOCP4G7ATHHXMWMWCOY4IZ \
  | 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: c76e3bb84fe1be099cf76599613b1c46470595d6def1c70aceda533cb2a31130

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "17e3a34fecaccdc288bcf2c12ca4d7f3517fb7f0f39e91dfa2cc154b11d1438a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2013-07-15T18:12:50Z",
    "title_canon_sha256": "edfd132cbb917677ebce2a6421285dc21503a73027f79e799ad3f9e28f415580"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.4036",
    "kind": "arxiv",
    "version": 4
  }
}