Pith Number

pith:DZQMZLWK

pith:2011:DZQMZLWKTKZ4QYFB7QV7G53UZG

not attested not anchored not stored refs pending

On minimum integer representations of weighted games

Josep Freixas, Sascha Kurz

arxiv:1103.0868 v2 · 2011-03-04 · math.CO · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DZQMZLWKTKZ4QYFB7QV7G53UZG}

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	2026-05-18T03:06:32.995282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e60ccaeca9ab3c860a1fc2bf37774c9aa80f52102dbb6fcb49aed8829bcdd26

Aliases

arxiv: 1103.0868 · arxiv_version: 1103.0868v2 · doi: 10.48550/arxiv.1103.0868 · pith_short_12: DZQMZLWKTKZ4 · pith_short_16: DZQMZLWKTKZ4QYFB · pith_short_8: DZQMZLWK

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/DZQMZLWKTKZ4QYFB7QV7G53UZG \
  | 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: 1e60ccaeca9ab3c860a1fc2bf37774c9aa80f52102dbb6fcb49aed8829bcdd26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da6adc9bbb2729e12ed4c8577a1e229d3f2447bf38c03a8cf0692345855b4db7",
    "cross_cats_sorted": [
      "cs.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-04T11:23:36Z",
    "title_canon_sha256": "abfc0805231592e63edbf5a582c2ea1a19616e81cdf26ca61f766e19b04210ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0868",
    "kind": "arxiv",
    "version": 2
  }
}