Pith Number

pith:4SNVQQLG

pith:2025:4SNVQQLGUYOSNVQ5RSF3DQY3BO

not attested not anchored not stored refs pending

The third dimension of cities - relating building height, urban area, and population

Bin Jia, Diego Rybski, Fabiano L. Ribeiro, Liang Gao, Peiran Zhang, Ziyou Gao

arxiv:2508.20114 v1 · 2025-08-21 · 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{4SNVQQLGUYOSNVQ5RSF3DQY3BO}

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	2026-07-05T12:00:29.649378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e49b584166a61d26d61d8c8bb1c31b0b8ed9c986ba55291cf8e53b43aa2e6902

Aliases

arxiv: 2508.20114 · arxiv_version: 2508.20114v1 · doi: 10.48550/arxiv.2508.20114 · pith_short_12: 4SNVQQLGUYOS · pith_short_16: 4SNVQQLGUYOSNVQ5 · pith_short_8: 4SNVQQLG

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/4SNVQQLGUYOSNVQ5RSF3DQY3BO \
  | 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: e49b584166a61d26d61d8c8bb1c31b0b8ed9c986ba55291cf8e53b43aa2e6902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "466cac36d3800b80eb7a3f8ee1ced8737ca6ef00c1beee8c67dd92e23f91c471",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2025-08-21T06:31:15Z",
    "title_canon_sha256": "53f544700a4da156c4d60ea946d656b50180e4d3b754958391c7598d0a3175e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.20114",
    "kind": "arxiv",
    "version": 1
  }
}