Pith Number

pith:WAEKIE3W

pith:2019:WAEKIE3WNKLUNLXQBOCGHCVMNS

not attested not anchored not stored refs pending

Urban Scaling in Denmark, Germany, and the Netherlands. Relation with Governance Structures

Anthony F.J. van Raan

arxiv:1903.03004 v1 · 2019-03-07 · 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{WAEKIE3WNKLUNLXQBOCGHCVMNS}

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	2026-05-17T23:51:50.436173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b008a413766a9746aef00b84638aac6c987f13192cece611525847045c9e299e

Aliases

arxiv: 1903.03004 · arxiv_version: 1903.03004v1 · doi: 10.48550/arxiv.1903.03004 · pith_short_12: WAEKIE3WNKLU · pith_short_16: WAEKIE3WNKLUNLXQ · pith_short_8: WAEKIE3W

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/WAEKIE3WNKLUNLXQBOCGHCVMNS \
  | 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: b008a413766a9746aef00b84638aac6c987f13192cece611525847045c9e299e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "355e671339f9c1194aadab29db74ee78952efa67bc538d4112b245db7880b74a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2019-03-07T15:46:45Z",
    "title_canon_sha256": "0b6ff8fab4111e222618b184126f4e25323daf438b0be1f3bd8d908d62808d44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.03004",
    "kind": "arxiv",
    "version": 1
  }
}