Pith Number

pith:A34QUOBG

pith:2011:A34QUOBGIZCGOSSYSQ3QLFYA5M

not attested not anchored not stored refs pending

European Apportionment via the Cambridge Compromise

Geoffrey R. Grimmett

arxiv:1105.4294 v2 · 2011-05-21 · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A34QUOBGIZCGOSSYSQ3QLFYA5M}

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	2026-05-18T04:14:56.488061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06f90a38264644674a589437059700eb2da00deb0bb98338a4344de93eb45ec2

Aliases

arxiv: 1105.4294 · arxiv_version: 1105.4294v2 · doi: 10.48550/arxiv.1105.4294 · pith_short_12: A34QUOBGIZCG · pith_short_16: A34QUOBGIZCGOSSY · pith_short_8: A34QUOBG

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/A34QUOBGIZCGOSSYSQ3QLFYA5M \
  | 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: 06f90a38264644674a589437059700eb2da00deb0bb98338a4344de93eb45ec2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1181da06d28aac4d69b61750a24f58d5b6e91e315bd48a403093a7da4294c64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2011-05-21T22:00:39Z",
    "title_canon_sha256": "73423abeacda395e09639e9bc83ed282a5bfada75c0713e35e13e5af2889c6a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4294",
    "kind": "arxiv",
    "version": 2
  }
}