Pith Number

pith:3ZPC4BPF

pith:2019:3ZPC4BPF336PBL5YWSYUOK2XHK

not attested not anchored not stored refs pending

Modelling the evolution of traits in a two-sex population, with an application to grandmothering

K. Hawkes, M.H. Chan, P.S. Kim

arxiv:1907.01666 v1 · 2019-07-02 · 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{3ZPC4BPF336PBL5YWSYUOK2XHK}

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	2026-05-17T23:41:35.570405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de5e2e05e5defcf0afb8b4b1472b573a87767be98fed78c9f178c51cd0074e74

Aliases

arxiv: 1907.01666 · arxiv_version: 1907.01666v1 · doi: 10.48550/arxiv.1907.01666 · pith_short_12: 3ZPC4BPF336P · pith_short_16: 3ZPC4BPF336PBL5Y · pith_short_8: 3ZPC4BPF

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/3ZPC4BPF336PBL5YWSYUOK2XHK \
  | 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: de5e2e05e5defcf0afb8b4b1472b573a87767be98fed78c9f178c51cd0074e74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "514fc189b210b99131a720a496e6c3008e0f7c62a3be8a02d856ceb5f9645921",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2019-07-02T22:21:31Z",
    "title_canon_sha256": "74e09d86ad7227b808ce857c5755af8b688cec5f4ae0c891421cbbba39fb9435"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01666",
    "kind": "arxiv",
    "version": 1
  }
}