Pith Number

pith:75QM3KRA

pith:2015:75QM3KRA6HAKV5L7CWDJVUJRNS

not attested not anchored not stored refs pending

Scale-adjusted metrics for predicting the evolution of urban indicators and quantifying the performance of cities

Ervin K. Lenzi, Haroldo V. Ribeiro, Luiz G. A. Alves, Renio S. Mendes

arxiv:1507.05204 v1 · 2015-07-18 · physics.soc-ph · 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{75QM3KRA6HAKV5L7CWDJVUJRNS}

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	2026-05-18T01:32:43.381909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff60cdaa20f1c0aaf57f15869ad1316cafa7fd64c7749429921d1eb82a56242b

Aliases

arxiv: 1507.05204 · arxiv_version: 1507.05204v1 · doi: 10.48550/arxiv.1507.05204 · pith_short_12: 75QM3KRA6HAK · pith_short_16: 75QM3KRA6HAKV5L7 · pith_short_8: 75QM3KRA

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/75QM3KRA6HAKV5L7CWDJVUJRNS \
  | 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: ff60cdaa20f1c0aaf57f15869ad1316cafa7fd64c7749429921d1eb82a56242b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15fc20bb4e999ce25877783d6118d61a1d5c893908b350cb4cb174ab85eb801e",
    "cross_cats_sorted": [
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-07-18T16:34:00Z",
    "title_canon_sha256": "6e2744c79448cf052d18ecd17c5aaf3bfed4074a936edf6066f49328d73e3765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.05204",
    "kind": "arxiv",
    "version": 1
  }
}