Pith Number

pith:4VH4NRHB

pith:2015:4VH4NRHBQ5MWK4OHG62HEBOMQ4

not attested not anchored not stored refs pending

Multilevel comparison of large urban systems

Anne Bretagnolle, Antonio Ignazzi, C\'eline Vacchiani-Marcuzzo, Cl\'ementine Cottineau, Denise Pumain, Elfie Swerts, Fran\c{c}ois Delisle, Liliane Lizzi, Robin Cura, Sol\`ene Baffi

arxiv:1501.06408 v1 · 2015-01-26 · 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{4VH4NRHBQ5MWK4OHG62HEBOMQ4}

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	2026-05-18T02:28:41.552928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e54fc6c4e187596571c737b47205cc872f6630bf0e90ae77c059caa343e012cc

Aliases

arxiv: 1501.06408 · arxiv_version: 1501.06408v1 · doi: 10.48550/arxiv.1501.06408 · pith_short_12: 4VH4NRHBQ5MW · pith_short_16: 4VH4NRHBQ5MWK4OH · pith_short_8: 4VH4NRHB

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/4VH4NRHBQ5MWK4OHG62HEBOMQ4 \
  | 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: e54fc6c4e187596571c737b47205cc872f6630bf0e90ae77c059caa343e012cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51e5b1c3e8c82778268a3b471a22267e54d96b6be9c70693d4e7980ea5362fc3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2015-01-26T14:23:35Z",
    "title_canon_sha256": "53057bed6f60f2a864eee431ed0e959126fbe4c2ae2ff174e1d0aeda58a42f50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.06408",
    "kind": "arxiv",
    "version": 1
  }
}