Pith Number

pith:SUWRPH6O

pith:2026:SUWRPH6OD22IVBDXMBF4DANIVU

not attested not anchored not stored refs pending

How large should academic departments be?

Aaron Clauset, Daniel B. Larremore, Fariba Karimi, Gerardo I\~niguez, Jan Bachmann, Lisette Esp\'in-Noboa

arxiv:2607.22189 v1 · 2026-07-24 · physics.soc-ph · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SUWRPH6OD22IVBDXMBF4DANIVU}

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	2026-07-27T01:20:53.061370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

952d179fce1eb48a8477604bc181a8ad3403a8efae7dabfd3e118d05688a86f2

Aliases

arxiv: 2607.22189 · arxiv_version: 2607.22189v1 · doi: 10.48550/arxiv.2607.22189 · pith_short_12: SUWRPH6OD22I · pith_short_16: SUWRPH6OD22IVBDX · pith_short_8: SUWRPH6O

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/SUWRPH6OD22IVBDXMBF4DANIVU \
  | 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: 952d179fce1eb48a8477604bc181a8ad3403a8efae7dabfd3e118d05688a86f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eced8dc5fdf626462b5a5c117954f33ac021c000dc5acff22aaf85b9e6749038",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2026-07-24T11:00:48Z",
    "title_canon_sha256": "9a2ad1d7498eb08091b00bcb296d057446976d5244696b784b9d8d6ce239e4c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.22189",
    "kind": "arxiv",
    "version": 1
  }
}