Pith Number

pith:QMUWO2W2

pith:2015:QMUWO2W23ALN6M3BDOQMI6N2GS

not attested not anchored not stored refs pending

Paradoxical Interpretations of Urban Scaling Laws

Clementine Cottineau, Elsa Arcaute, Erez Hatna, Michael Batty

arxiv:1507.07878 v2 · 2015-07-28 · 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{QMUWO2W23ALN6M3BDOQMI6N2GS}

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	2026-05-18T01:12:30.735308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8329676adad816df33611ba0c479ba348af4719844bf3e3b9548492e046840e3

Aliases

arxiv: 1507.07878 · arxiv_version: 1507.07878v2 · doi: 10.48550/arxiv.1507.07878 · pith_short_12: QMUWO2W23ALN · pith_short_16: QMUWO2W23ALN6M3B · pith_short_8: QMUWO2W2

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/QMUWO2W23ALN6M3BDOQMI6N2GS \
  | 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: 8329676adad816df33611ba0c479ba348af4719844bf3e3b9548492e046840e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea0bdbe655f61439ebaecc235ce81d06dc8ea6afb990a8361057fcf3a4f9292",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-07-28T18:02:39Z",
    "title_canon_sha256": "5329240c10cd37d83599cf2b5d7076726e83b72e210f39fa9d446b410c4ea33b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07878",
    "kind": "arxiv",
    "version": 2
  }
}