Pith Number

pith:RFODHLVH

pith:2010:RFODHLVH76HGY7ITVMX3VKG4FR

not attested not anchored not stored refs pending

Zipf's Law for All the Natural Cities in the United States: A Geospatial Perspective

Bin Jiang, Tao Jia

arxiv:1006.0814 v2 · 2010-06-04 · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFODHLVH76HGY7ITVMX3VKG4FR}

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	2026-05-18T03:18:26.995993Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

895c33aea7ff8e6c7d13ab2fbaa8dc2c71bd33bfa7a1e652eb021468c5ca7b29

Aliases

arxiv: 1006.0814 · arxiv_version: 1006.0814v2 · doi: 10.48550/arxiv.1006.0814 · pith_short_12: RFODHLVH76HG · pith_short_16: RFODHLVH76HGY7IT · pith_short_8: RFODHLVH

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/RFODHLVH76HGY7ITVMX3VKG4FR \
  | 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: 895c33aea7ff8e6c7d13ab2fbaa8dc2c71bd33bfa7a1e652eb021468c5ca7b29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2511a3fc51b4a35101ddb7f5db053af7d0f54ab1b7e35a9359e7f0b3834fb1c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2010-06-04T09:20:01Z",
    "title_canon_sha256": "c093b2b3acd51afab73877d535f37220184477060cfcb567806402d728cd8ff4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.0814",
    "kind": "arxiv",
    "version": 2
  }
}