Pith Number

pith:JWZBTCUJ

pith:2012:JWZBTCUJPS3KPSPI4VARETFY3T

not attested not anchored not stored refs pending

The scaling of human interactions with city size

Carlo Ratti, Geoffrey B. West, Luis M. A. Bettencourt, Markus Schl\"apfer, Mathias Raschke, Rob Claxton, Sebastian Grauwin, Zbigniew Smoreda

arxiv:1210.5215 v3 · 2012-10-18 · physics.soc-ph · cs.SI · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWZBTCUJPS3KPSPI4VARETFY3T}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T02:48:02.876597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4db2198a897cb6a7c9e8e541124cb8dcfc695f205fbe740a086eafa761143787

Aliases

arxiv: 1210.5215 · arxiv_version: 1210.5215v3 · doi: 10.48550/arxiv.1210.5215 · pith_short_12: JWZBTCUJPS3K · pith_short_16: JWZBTCUJPS3KPSPI · pith_short_8: JWZBTCUJ

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/JWZBTCUJPS3KPSPI4VARETFY3T \
  | 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: 4db2198a897cb6a7c9e8e541124cb8dcfc695f205fbe740a086eafa761143787

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57a4df4654bd13904e3542c9a9455617d674328eda572a6ec966f0152b3b2c0f",
    "cross_cats_sorted": [
      "cs.SI",
      "physics.data-an"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-10-18T18:27:19Z",
    "title_canon_sha256": "eef8e00e3f368b2678b8db7992f6ae7a2d74b96f94bbdb6aa2ede2b9166c74e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5215",
    "kind": "arxiv",
    "version": 3
  }
}