Pith Number

pith:JF7H5LQC

pith:2010:JF7H5LQCZVBKYRSRMR2FBWKHJB

not attested not anchored not stored refs pending

Weighted Banzhaf power and interaction indexes through weighted approximations of games

Jean-Luc Marichal, Pierre Mathonet

arxiv:1001.3052 v2 · 2010-01-18 · math.OC · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JF7H5LQCZVBKYRSRMR2FBWKHJB}

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	2026-05-18T04:28:48.617396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

497e7eae02cd42ac4651647450d94748448dd56ecca0674889f23bbba7f185b9

Aliases

arxiv: 1001.3052 · arxiv_version: 1001.3052v2 · doi: 10.48550/arxiv.1001.3052 · pith_short_12: JF7H5LQCZVBK · pith_short_16: JF7H5LQCZVBKYRSR · pith_short_8: JF7H5LQC

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/JF7H5LQCZVBKYRSRMR2FBWKHJB \
  | 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: 497e7eae02cd42ac4651647450d94748448dd56ecca0674889f23bbba7f185b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "283f6e5e4f70bff5601e6161c5914e7ff87599c222179b60f17fb42236dc05c0",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2010-01-18T13:17:25Z",
    "title_canon_sha256": "c30eae9ecfaa492fe54025d3471cb451bebd7e2a469a9fcdd249b021b05b89bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.3052",
    "kind": "arxiv",
    "version": 2
  }
}