Pith Number

pith:TPWIEF7N

pith:2013:TPWIEF7NQWH4DWS2E4L6TVTWQT

not attested not anchored not stored refs pending

Enumeration of weighted games with minimum and an analysis of voting power for bipartite complete games with minimum

Josep Freixas, Sascha Kurz

arxiv:1310.6113 v1 · 2013-10-23 · 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{TPWIEF7NQWH4DWS2E4L6TVTWQT}

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	2026-05-18T02:12:11.684550Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bec8217ed858fc1da5a2717e9d67684c008ced82cc49798ef1d244a19b860c5

Aliases

arxiv: 1310.6113 · arxiv_version: 1310.6113v1 · doi: 10.48550/arxiv.1310.6113 · pith_short_12: TPWIEF7NQWH4 · pith_short_16: TPWIEF7NQWH4DWS2 · pith_short_8: TPWIEF7N

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/TPWIEF7NQWH4DWS2E4L6TVTWQT \
  | 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: 9bec8217ed858fc1da5a2717e9d67684c008ced82cc49798ef1d244a19b860c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f0c6e6cc55d08f48895d68ae3316391fac02c1045d34d6ca843ec1abdf00be2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-23T05:36:16Z",
    "title_canon_sha256": "5f84fd8434febee52df9b12dbcdd33a24d7f5d02ac57949d32c688a523fff395"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.6113",
    "kind": "arxiv",
    "version": 1
  }
}