Pith Number

pith:6DVURXEX

pith:2025:6DVURXEXHXWLGZ7IXXHCYYZ3SP

not attested not anchored not stored refs pending

Banzhaf Power in Hierarchical Voting Games

Amy Greenwald, Denizalp Goktas, John Randolph

arxiv:2501.06871 v1 · 2025-01-12 · 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{6DVURXEXHXWLGZ7IXXHCYYZ3SP}

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	2026-07-05T10:00:11.588067Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0eb48dc973decb367e8bdce2c633b93d7ee683bd83a38441406a55fe4ea487a

Aliases

arxiv: 2501.06871 · arxiv_version: 2501.06871v1 · doi: 10.48550/arxiv.2501.06871 · pith_short_12: 6DVURXEXHXWL · pith_short_16: 6DVURXEXHXWLGZ7I · pith_short_8: 6DVURXEX

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/6DVURXEXHXWLGZ7IXXHCYYZ3SP \
  | 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: f0eb48dc973decb367e8bdce2c633b93d7ee683bd83a38441406a55fe4ea487a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75e8a015b01718bf4471381b44ce759acaec01cdae4e7c644835b0efb44b2a77",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2025-01-12T16:55:30Z",
    "title_canon_sha256": "ad7e9b0a0bb7265726b8d9f44c8a572fef2406c749b622a43f699e707bf3d349"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.06871",
    "kind": "arxiv",
    "version": 1
  }
}