Pith Number

pith:SZTG7346

pith:2025:SZTG7346TXVT4YSCO5IZ4M45AP

not attested not anchored not stored refs pending

Control by Deleting Players from Weighted Voting Games Is NP^PP-Complete for the Penrose-Banzhaf Power Index

Joanna Kaczmarek, J\"org Rothe

arxiv:2508.13868 v1 · 2025-08-19 · 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{SZTG7346TXVT4YSCO5IZ4M45AP}

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	2026-07-05T11:56:08.864636Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96666fef9e9deb3e624277519e339d03d7b37d4049009e359bb09a6c86229fb9

Aliases

arxiv: 2508.13868 · arxiv_version: 2508.13868v1 · doi: 10.48550/arxiv.2508.13868 · pith_short_12: SZTG7346TXVT · pith_short_16: SZTG7346TXVT4YSC · pith_short_8: SZTG7346

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/SZTG7346TXVT4YSCO5IZ4M45AP \
  | 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: 96666fef9e9deb3e624277519e339d03d7b37d4049009e359bb09a6c86229fb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77d69254b483c44942c52afaf4f9f8c8517b5be34cd16dd88566d3372a8c1b1b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-08-19T14:33:26Z",
    "title_canon_sha256": "377b7849493e258e67da417bc780c6ae63c7287dccbf939d4bb5597679009392"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.13868",
    "kind": "arxiv",
    "version": 1
  }
}