Pith Number

pith:QT7S2DWK

pith:2016:QT7S2DWKSNPYNLPXBW5RUYIKYI

not attested not anchored not stored refs pending

Explaining the Prevalence, Scaling and Variance of Urban Phenomena

Andres Gomez-Lievano, Oscar Patterson-Lomba, Ricardo Hausmann

arxiv:1604.07876 v2 · 2016-04-26 · physics.soc-ph · cond-mat.stat-mech · math.PR · nlin.AO · 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{QT7S2DWKSNPYNLPXBW5RUYIKYI}

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	2026-05-18T00:54:03.279542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84ff2d0eca935f86adf70dbb1a610ac23bb2ccb93c32e38a86e172cc1b5889df

Aliases

arxiv: 1604.07876 · arxiv_version: 1604.07876v2 · doi: 10.48550/arxiv.1604.07876 · pith_short_12: QT7S2DWKSNPY · pith_short_16: QT7S2DWKSNPYNLPX · pith_short_8: QT7S2DWK

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/QT7S2DWKSNPYNLPXBW5RUYIKYI \
  | 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: 84ff2d0eca935f86adf70dbb1a610ac23bb2ccb93c32e38a86e172cc1b5889df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38560f67880d854bb9f77601c508dd455ea74f3e4161a65326f97196ba630c81",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.PR",
      "nlin.AO",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-04-26T22:23:58Z",
    "title_canon_sha256": "dda041ca829d965b7381aab62f781387061d35ce5c68b1a7c68b9ca798c093eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.07876",
    "kind": "arxiv",
    "version": 2
  }
}