Pith Number

pith:E4XMATMK

pith:2014:E4XMATMKCSLP4A4TEBSAPBRYLN

not attested not anchored not stored refs pending

Zipf's law in city size from a resource utilization model

Anindya S. Chakrabarti, Arnab Chatterjee, Asim Ghosh, Bikas K Chakrabarti

arxiv:1403.1822 v3 · 2014-03-07 · physics.soc-ph · cond-mat.stat-mech · q-fin.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{E4XMATMKCSLP4A4TEBSAPBRYLN}

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	2026-05-18T02:39:23.824870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

272ec04d8a1496fe039320640786385b5b2c5590b20b6c72702da1b544240bf7

Aliases

arxiv: 1403.1822 · arxiv_version: 1403.1822v3 · doi: 10.48550/arxiv.1403.1822 · pith_short_12: E4XMATMKCSLP · pith_short_16: E4XMATMKCSLP4A4T · pith_short_8: E4XMATMK

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/E4XMATMKCSLP4A4TEBSAPBRYLN \
  | 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: 272ec04d8a1496fe039320640786385b5b2c5590b20b6c72702da1b544240bf7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f978c5a984364b1157b9ab3c7ef462a6ad962d953e98d09782b931a4f740fb1",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "q-fin.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2014-03-07T17:38:10Z",
    "title_canon_sha256": "1edbeca6645b735199409e144e5d5b667dfd373a7ce25ed1aa992ec6e12b43cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1822",
    "kind": "arxiv",
    "version": 3
  }
}