Pith Number

pith:QGXUENFZ

pith:2025:QGXUENFZWRSQTN5VN66OORFJYL

not attested not anchored not stored refs pending

When it pays to teach: a population threshold for dedicated teaching

Hirotaka Goto, Joshua B. Plotkin

arxiv:2507.02327 v1 · 2025-07-03 · 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{QGXUENFZWRSQTN5VN66OORFJYL}

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	2026-07-05T11:31:16.096035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81af4234b9b46509b7b56fbce744a9c2f9f1c009921c37af55d1ac41d8284333

Aliases

arxiv: 2507.02327 · arxiv_version: 2507.02327v1 · doi: 10.48550/arxiv.2507.02327 · pith_short_12: QGXUENFZWRSQ · pith_short_16: QGXUENFZWRSQTN5V · pith_short_8: QGXUENFZ

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/QGXUENFZWRSQTN5VN66OORFJYL \
  | 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: 81af4234b9b46509b7b56fbce744a9c2f9f1c009921c37af55d1ac41d8284333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "638d562ebc6338546e56ab3af3f000d7dc1197ec456f02685b21b49400e54900",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "q-bio.PE",
    "submitted_at": "2025-07-03T05:36:39Z",
    "title_canon_sha256": "3cba279c5f69821fa554e506e4e613f9f406fea6dd002bb461e7e5f3aa2f1064"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.02327",
    "kind": "arxiv",
    "version": 1
  }
}