Pith Number

pith:SSUIUNL3

pith:2011:SSUIUNL3CQYCNHOIMPEDPE3RUH

not attested not anchored not stored refs pending

A Quantitative Version of the Gibbard-Satterthwaite Theorem for Three Alternatives

Ehud Friedgut, Gil Kalai, Nathan Keller, Noam Nisan

arxiv:1105.5129 v1 · 2011-05-25 · math.CO · cs.AI · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSUIUNL3CQYCNHOIMPEDPE3RUH}

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	2026-05-18T04:21:20.791167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94a88a357b1430269dc863c8379371a1e1fb5ae89c93b49fb3ffad2be0ed2827

Aliases

arxiv: 1105.5129 · arxiv_version: 1105.5129v1 · doi: 10.48550/arxiv.1105.5129 · pith_short_12: SSUIUNL3CQYC · pith_short_16: SSUIUNL3CQYCNHOI · pith_short_8: SSUIUNL3

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/SSUIUNL3CQYCNHOIMPEDPE3RUH \
  | 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: 94a88a357b1430269dc863c8379371a1e1fb5ae89c93b49fb3ffad2be0ed2827

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f87750f564612c60de121bad2477dec82d69fedbc22f853965e43e732af8da22",
    "cross_cats_sorted": [
      "cs.AI",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-05-25T19:51:50Z",
    "title_canon_sha256": "990ebb07b02f9f10ece6a0a31e534548944ff438cbbc38d5d5374284b28415cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5129",
    "kind": "arxiv",
    "version": 1
  }
}