Pith Number

pith:WLJU5DAD

pith:2013:WLJU5DADP7HLISNVEXK3YUJWSP

not attested not anchored not stored refs pending

Modeling the polycentric transition of cities

Marc Barthelemy, R\'emi Louf

arxiv:1309.3961 v2 · 2013-09-16 · physics.soc-ph · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WLJU5DADP7HLISNVEXK3YUJWSP}

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	2026-05-18T01:47:41.484117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2d34e8c037fceb449b525d5bc513693c6a3fe273f0037a87c8e859a0a9b8ee7

Aliases

arxiv: 1309.3961 · arxiv_version: 1309.3961v2 · doi: 10.48550/arxiv.1309.3961 · pith_short_12: WLJU5DADP7HL · pith_short_16: WLJU5DADP7HLISNV · pith_short_8: WLJU5DAD

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/WLJU5DADP7HLISNVEXK3YUJWSP \
  | 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: b2d34e8c037fceb449b525d5bc513693c6a3fe273f0037a87c8e859a0a9b8ee7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2898da096ad031f775fef56b871b931d0b2f44d0fc7770e71e380bb6d20d68a",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2013-09-16T13:58:39Z",
    "title_canon_sha256": "cbe4b6ef18580c1b58c7fe7edd719562b88f9fec425ab13cad01769e407f58c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3961",
    "kind": "arxiv",
    "version": 2
  }
}