Pith Number

pith:W4BMU6NZ

pith:2011:W4BMU6NZ42ZKR3RASKQL44M662

not attested not anchored not stored refs pending

Deriving the number of jobs in proximity services from the number of inhabitants in French rural municipalities

Guillaume Deffuant (UR LISC), Maxime Lenormand (UR LISC), Sylvie Huet (UR LISC)

arxiv:1109.6760 v3 · 2011-09-30 · stat.AP · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W4BMU6NZ42ZKR3RASKQL44M662}

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	2026-05-17T23:57:35.460219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b702ca79b9e6b2a8ee2092a0be719ef6b807c05445b7172ad370f5178b0653a3

Aliases

arxiv: 1109.6760 · arxiv_version: 1109.6760v3 · doi: 10.48550/arxiv.1109.6760 · pith_short_12: W4BMU6NZ42ZK · pith_short_16: W4BMU6NZ42ZKR3RA · pith_short_8: W4BMU6NZ

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/W4BMU6NZ42ZKR3RASKQL44M662 \
  | 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: b702ca79b9e6b2a8ee2092a0be719ef6b807c05445b7172ad370f5178b0653a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9bef279ceb670fbe713a82c4d4857eca583a7c78f7a8c8da57c66b833f9e8a6",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.AP",
    "submitted_at": "2011-09-30T09:07:44Z",
    "title_canon_sha256": "9c0658bc59221ac56c6d4906132c0138817e1a39d1ec09eed13bed285cbe729b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6760",
    "kind": "arxiv",
    "version": 3
  }
}