Pith Number

pith:IDUL34ZT

pith:2011:IDUL34ZTP5SWA463MGZXUOALHL

not attested not anchored not stored refs pending

Mathematical aspects of degressive proportionality

Karol Zyczkowski, Wojciech Slomczynski

arxiv:1110.1468 v2 · 2011-10-07 · physics.soc-ph · cs.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IDUL34ZTP5SWA463MGZXUOALHL}

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	2026-05-18T04:02:37.362960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40e8bdf3337f656073db61b37a380b3ae3806b00fd40721a159e277496ed58b3

Aliases

arxiv: 1110.1468 · arxiv_version: 1110.1468v2 · doi: 10.48550/arxiv.1110.1468 · pith_short_12: IDUL34ZTP5SW · pith_short_16: IDUL34ZTP5SWA463 · pith_short_8: IDUL34ZT

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/IDUL34ZTP5SWA463MGZXUOALHL \
  | 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: 40e8bdf3337f656073db61b37a380b3ae3806b00fd40721a159e277496ed58b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e81aee7caeb01d94631102fc0131c6c9235fa0b9cf75e57c626dc125c75d6a05",
    "cross_cats_sorted": [
      "cs.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2011-10-07T09:51:57Z",
    "title_canon_sha256": "cb2b2329f0298a309bfd7cea4231943580bf96d3724f907088572be366a44bea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1468",
    "kind": "arxiv",
    "version": 2
  }
}