Pith Number

pith:HZGZD5T7

pith:2011:HZGZD5T7ZJKPZYQRND6OGFGCBL

not attested not anchored not stored refs pending

Hierarchical Simple Games: Representations and Weightedness

Ali Hameed, Arkadii Slinko, Tatiana Gvozdeva

arxiv:1103.2487 v1 · 2011-03-13 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HZGZD5T7ZJKPZYQRND6OGFGCBL}

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	2026-05-18T04:26:55.216767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e4d91f67fca54fce21168fce314c20afff08d0af49a78d268975a5472e4f269

Aliases

arxiv: 1103.2487 · arxiv_version: 1103.2487v1 · doi: 10.48550/arxiv.1103.2487 · pith_short_12: HZGZD5T7ZJKP · pith_short_16: HZGZD5T7ZJKPZYQR · pith_short_8: HZGZD5T7

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/HZGZD5T7ZJKPZYQRND6OGFGCBL \
  | 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: 3e4d91f67fca54fce21168fce314c20afff08d0af49a78d268975a5472e4f269

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "852bae4547789872fbb5e4254d4d969a7615d5719bb77749ae1d5e69fd25f952",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-13T01:08:50Z",
    "title_canon_sha256": "087cdbbb2010ab88d85c8756f8a19f8daf4fc7ee0c9c3897d90da82c4ca4d0c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2487",
    "kind": "arxiv",
    "version": 1
  }
}