Pith Number

pith:OO6GKI37

pith:2022:OO6GKI37VIIE5ZGSCB6744IBAG

not attested not anchored not stored refs pending

Analyzing urban scaling laws in the United States over 115 years

Johannes H. Uhl, Keith Burghardt, Kristina Lerman, Stefan Leyk

arxiv:2209.10852 v3 · 2022-09-22 · 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{OO6GKI37VIIE5ZGSCB6744IBAG}

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.

Cited by

1 paper in Pith

Universal Patterns in the Long-term Growth of Urban Infrastructure in U.S. Cities from 1900 to 2015

Receipt and verification

First computed	2026-07-05T05:36:49.939036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73bc65237faa104ee4d2107dfe710101a4d22494f236b7eb003b204a628f1360

Aliases

arxiv: 2209.10852 · arxiv_version: 2209.10852v3 · doi: 10.48550/arxiv.2209.10852 · pith_short_12: OO6GKI37VIIE · pith_short_16: OO6GKI37VIIE5ZGS · pith_short_8: OO6GKI37

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/OO6GKI37VIIE5ZGSCB6744IBAG \
  | 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: 73bc65237faa104ee4d2107dfe710101a4d22494f236b7eb003b204a628f1360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44fed230e370987cc9d1f115fb7d20171b2022b5f12d018590a93217334c0e2c",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2022-09-22T08:35:25Z",
    "title_canon_sha256": "4ae674db57f747cdc87ea4f32df3b4935248c14e4bc09195f4fcbaf201398179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.10852",
    "kind": "arxiv",
    "version": 3
  }
}