Pith Number

pith:Z4CENYIA

pith:2015:Z4CENYIAIVSFS3HY73VZEJSG65

not attested not anchored not stored refs pending

On the Scale free laws of Urban Facilities

Liang Wu, Xuezheng Chen, Yang Li

arxiv:1512.01423 v1 · 2015-11-29 · physics.soc-ph · stat.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z4CENYIAIVSFS3HY73VZEJSG65}

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	2026-05-18T01:25:16.938393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf0446e1004564596cf8feeb922646f75ed274c03d2da4a5c39af090ca13b261

Aliases

arxiv: 1512.01423 · arxiv_version: 1512.01423v1 · doi: 10.48550/arxiv.1512.01423 · pith_short_12: Z4CENYIAIVSF · pith_short_16: Z4CENYIAIVSFS3HY · pith_short_8: Z4CENYIA

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/Z4CENYIAIVSFS3HY73VZEJSG65 \
  | 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: cf0446e1004564596cf8feeb922646f75ed274c03d2da4a5c39af090ca13b261

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1b4bcb06e2d54488ca76a0ebebc9b774aa076c034f72b06dca0061c6f35a8438",
    "cross_cats_sorted": [
      "stat.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-11-29T04:33:23Z",
    "title_canon_sha256": "cd9a09b299c9875cd870e2f458fa73b2a73ba9653bc07501f5ad6dfe2110880c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01423",
    "kind": "arxiv",
    "version": 1
  }
}