Pith Number

pith:3VO4RXB7

pith:2016:3VO4RXB75H3J7DOPZN6QPAJPHE

not attested not anchored not stored refs pending

Defining urban agglomerations to detect agglomeration economies

Clementine Cottineau, Elsa Arcaute, Erez Hatna, Michael Batty, Olivier Finance

arxiv:1601.05664 v1 · 2016-01-21 · 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{3VO4RXB75H3J7DOPZN6QPAJPHE}

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	2026-05-18T00:07:44.076782Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5dc8dc3fe9f69f8dcfcb7d07812f3924b81854586bc3191e796c004f35d3fa

Aliases

arxiv: 1601.05664 · arxiv_version: 1601.05664v1 · doi: 10.48550/arxiv.1601.05664 · pith_short_12: 3VO4RXB75H3J · pith_short_16: 3VO4RXB75H3J7DOP · pith_short_8: 3VO4RXB7

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/3VO4RXB75H3J7DOPZN6QPAJPHE \
  | 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: dd5dc8dc3fe9f69f8dcfcb7d07812f3924b81854586bc3191e796c004f35d3fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59cc51fa62df63eac78a733bf0b33a4d67cc6cc300af8499c63100c927b284f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-01-21T14:56:31Z",
    "title_canon_sha256": "10a046cb74bbe06a9cca851077ac5e52e28b92ecabf9fba80a7351b4d61b9f2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05664",
    "kind": "arxiv",
    "version": 1
  }
}