Pith Number

pith:ZPCDAVSS

pith:2013:ZPCDAVSSQEQZ66EGWRTARWL5XQ

not attested not anchored not stored refs pending

The hypothesis of urban scaling: formalization, implications and challenges

Hyejin Youn, Jose Lobo, Luis M. A. Bettencourt

arxiv:1301.5919 v1 · 2013-01-24 · physics.soc-ph · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZPCDAVSSQEQZ66EGWRTARWL5XQ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T03:35:27.568664Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbc430565281219f7886b46608d97dbc037dfecba3fb7a8c9767d3254f61d8df

Aliases

arxiv: 1301.5919 · arxiv_version: 1301.5919v1 · doi: 10.48550/arxiv.1301.5919 · pith_short_12: ZPCDAVSSQEQZ · pith_short_16: ZPCDAVSSQEQZ66EG · pith_short_8: ZPCDAVSS

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/ZPCDAVSSQEQZ66EGWRTARWL5XQ \
  | 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: cbc430565281219f7886b46608d97dbc037dfecba3fb7a8c9767d3254f61d8df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "778a00f2335f003c72a428533e04e9019192e6a92381877fb5c96167047cc7a9",
    "cross_cats_sorted": [
      "nlin.AO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-01-24T21:56:26Z",
    "title_canon_sha256": "8d5e92933c38f917c7e972bdabf5a9af252d7f2dec66dc5d048797b65d51a848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5919",
    "kind": "arxiv",
    "version": 1
  }
}