Pith Number

pith:PGWFPJKC

pith:2016:PGWFPJKCMS7FSQY3JISFLBQTLB

not attested not anchored not stored refs pending

Fractal-Based Exponential Distribution of Urban Density and Self-Affine Fractal Forms of Cities

Jian Feng, Yanguang Chen

arxiv:1606.04385 v1 · 2016-06-14 · 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{PGWFPJKCMS7FSQY3JISFLBQTLB}

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	2026-05-18T01:12:25.666515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79ac57a54264be59431b4a2455861358554f86ebf67e41b00182de25777e3e33

Aliases

arxiv: 1606.04385 · arxiv_version: 1606.04385v1 · doi: 10.48550/arxiv.1606.04385 · pith_short_12: PGWFPJKCMS7F · pith_short_16: PGWFPJKCMS7FSQY3 · pith_short_8: PGWFPJKC

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/PGWFPJKCMS7FSQY3JISFLBQTLB \
  | 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: 79ac57a54264be59431b4a2455861358554f86ebf67e41b00182de25777e3e33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97850664b927ce1f1b07f3356520d1708e7a06eea323f151be9be07111a035d2",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2016-06-14T14:22:22Z",
    "title_canon_sha256": "742873f8b6ae2359dd38b644f74f53cde1d80b32ca93735428912c300d3d214e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.04385",
    "kind": "arxiv",
    "version": 1
  }
}