Pith Number

pith:DFG4H5NK

pith:2026:DFG4H5NK7FQ7JCNOLAARJJFV4R

not attested not anchored not stored refs pending

Evolutionary Entropy Shapes Reproductive Lifespan in Age-Structured Populations

Henrique Oliveira, Jorge Buescu, Saber Elaydi

arxiv:2606.22001 v1 · 2026-06-20 · q-bio.PE · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFG4H5NK7FQ7JCNOLAARJJFV4R}

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	2026-06-23T02:13:05.316370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

194dc3f5aaf961f489ae580114a4b5e4524ea00667a0ef45020dd086ef27c8b9

Aliases

arxiv: 2606.22001 · arxiv_version: 2606.22001v1 · doi: 10.48550/arxiv.2606.22001 · pith_short_12: DFG4H5NK7FQ7 · pith_short_16: DFG4H5NK7FQ7JCNO · pith_short_8: DFG4H5NK

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/DFG4H5NK7FQ7JCNOLAARJJFV4R \
  | 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: 194dc3f5aaf961f489ae580114a4b5e4524ea00667a0ef45020dd086ef27c8b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41d6059653e42813db7deb952309c36dffca4fa254c903a377c1c851e55ab557",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2026-06-20T11:53:39Z",
    "title_canon_sha256": "dbfc530aa2710f21d5a1eaf829b67ee64369a600ca61abca602f3c48a6d6ff5e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.22001",
    "kind": "arxiv",
    "version": 1
  }
}