Pith Number

pith:QDYCGHDR

pith:2012:QDYCGHDRCKPN67QTJMI5VBZJMA

not attested not anchored not stored refs pending

Multi-scaling mix and non-universality between population and facility density

C. H. Yang, D. D. Han, J. H. Qian, Y. G. Ma

arxiv:1207.0999 v1 · 2012-07-04 · 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{QDYCGHDRCKPN67QTJMI5VBZJMA}

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	2026-05-18T03:39:16.346082Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

80f0231c71129edf7e134b11da87296004c7349103df567840ae6bb61d8db9ff

Aliases

arxiv: 1207.0999 · arxiv_version: 1207.0999v1 · doi: 10.48550/arxiv.1207.0999 · pith_short_12: QDYCGHDRCKPN · pith_short_16: QDYCGHDRCKPN67QT · pith_short_8: QDYCGHDR

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/QDYCGHDRCKPN67QTJMI5VBZJMA \
  | 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: 80f0231c71129edf7e134b11da87296004c7349103df567840ae6bb61d8db9ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "20218efb4038fb20c7867edb13279758358a26dab15e66d60901be2d466afb7e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2012-07-04T14:47:46Z",
    "title_canon_sha256": "4459594f6b4a6c3770711e41d232f3922ec782ff9c9057518587a4aed3138fcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0999",
    "kind": "arxiv",
    "version": 1
  }
}