Pith Number

pith:OUGB2YTO

pith:2020:OUGB2YTOB2RTRA25VYJWNVR67P

not attested not anchored not stored refs pending

A gradient model for the spatial patterns of cities

Bin Xu, Feng Mao, Guofu Yang, Hanhui Jin, Jie Chang, Kaiwen Zheng, Kang Hao Cheong, Ronghua Xu, Shun Liu, Weidong Luo, Ying Ge, Yong Min, Zhaoping Wu

arxiv:2010.07700 v1 · 2020-10-15 · 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{OUGB2YTOB2RTRA25VYJWNVR67P}

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	2026-07-05T01:43:19.838236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

750c1d626e0ea338835dae1366d63efbd04e7924b5b9fafa3ee85d44dc3f1ec2

Aliases

arxiv: 2010.07700 · arxiv_version: 2010.07700v1 · doi: 10.48550/arxiv.2010.07700 · pith_short_12: OUGB2YTOB2RT · pith_short_16: OUGB2YTOB2RTRA25 · pith_short_8: OUGB2YTO

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/OUGB2YTOB2RTRA25VYJWNVR67P \
  | 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: 750c1d626e0ea338835dae1366d63efbd04e7924b5b9fafa3ee85d44dc3f1ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0c7a8e4cf7ebefdfee4df9f869489d8ee8807758744602fbe253a57d581535",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2020-10-15T12:18:29Z",
    "title_canon_sha256": "ca72a7e957ed3f84582f6022f6280db993e33fbf7a6318d5491df08d733d1c4f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.07700",
    "kind": "arxiv",
    "version": 1
  }
}