Pith Number

pith:27KN3S74

pith:2016:27KN3S74ZCP7VXP5F3D5YZMLMR

not attested not anchored not stored refs pending

The fundamental diagram of urbanization

Giulia Carra, Marc Barthelemy

arxiv:1609.06982 v2 · 2016-09-22 · 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{27KN3S74ZCP7VXP5F3D5YZMLMR}

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	2026-05-18T00:32:31.318917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d4ddcbfcc89ffaddfd2ec7dc658b646302140a29952e10f64fa8bacdfa49e6

Aliases

arxiv: 1609.06982 · arxiv_version: 1609.06982v2 · doi: 10.48550/arxiv.1609.06982 · pith_short_12: 27KN3S74ZCP7 · pith_short_16: 27KN3S74ZCP7VXP5 · pith_short_8: 27KN3S74

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/27KN3S74ZCP7VXP5F3D5YZMLMR \
  | 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: d7d4ddcbfcc89ffaddfd2ec7dc658b646302140a29952e10f64fa8bacdfa49e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a06c03cfc0d41ab1141bf79942ed6e359e6008a21000c4f676a1fe920ebccb9b",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-09-22T13:53:11Z",
    "title_canon_sha256": "e60331184404c3cd229cd88626547ff219970e4c8d6f5166422bd5f85a0ac7b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06982",
    "kind": "arxiv",
    "version": 2
  }
}