Pith Number

pith:4RVSZNQ4

pith:2017:4RVSZNQ4PE5HRGH2VUUIYIPRNK

not attested not anchored not stored refs pending

Functionally Fractal Urban Networks: Geospatial Co-location and Homogeneity of Infrastructure

Christopher Klinkhamer, Elisabeth Krueger, Frank Blumensaat, P. Suresh C. Rao, Satish Ukkusuri, Xianyuan Zhan

arxiv:1712.03883 v1 · 2017-12-11 · nlin.AO · 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{4RVSZNQ4PE5HRGH2VUUIYIPRNK}

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	2026-05-18T00:28:19.682558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e46b2cb61c793a7898faad288c21f16aa6b3a61011cf4c52a64a3de7c6bce36f

Aliases

arxiv: 1712.03883 · arxiv_version: 1712.03883v1 · doi: 10.48550/arxiv.1712.03883 · pith_short_12: 4RVSZNQ4PE5H · pith_short_16: 4RVSZNQ4PE5HRGH2 · pith_short_8: 4RVSZNQ4

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/4RVSZNQ4PE5HRGH2VUUIYIPRNK \
  | 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: e46b2cb61c793a7898faad288c21f16aa6b3a61011cf4c52a64a3de7c6bce36f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6424a52e86ffa0bd42c2e1863501e2108bdf1d66ca4fbda1fd028da688358050",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2017-12-11T16:48:18Z",
    "title_canon_sha256": "fff7e41358744d2677b3b2c79fa4b69f0f4ec54d7717dbcb16ca8f7845eb9637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.03883",
    "kind": "arxiv",
    "version": 1
  }
}