Pith Number

pith:OX3THBKH

pith:2019:OX3THBKH3HOMURLUAK7NTEVT3L

not attested not anchored not stored refs pending

How the geometry of cities explains urban scaling laws and determines their exponents

Carlos Molinero, Stefan Thurner

arxiv:1908.07470 v1 · 2019-08-20 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OX3THBKH3HOMURLUAK7NTEVT3L}

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	2026-07-04T23:58:35.367062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

75f7338547d9dcca457402bed992b3daee048589a42fccc8a5f03d92345267a1

Aliases

arxiv: 1908.07470 · arxiv_version: 1908.07470v1 · doi: 10.48550/arxiv.1908.07470 · pith_short_12: OX3THBKH3HOM · pith_short_16: OX3THBKH3HOMURLU · pith_short_8: OX3THBKH

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/OX3THBKH3HOMURLUAK7NTEVT3L \
  | 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: 75f7338547d9dcca457402bed992b3daee048589a42fccc8a5f03d92345267a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4435340abe5be7341aea03be16dc9476a86155c7556c51ffd44e30cb9f8cdd79",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-08-20T16:10:53Z",
    "title_canon_sha256": "615ce60bbcbcd11c917f7fb5b3a1172376b8f99513f1d1d94de696d017440be5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.07470",
    "kind": "arxiv",
    "version": 1
  }
}