pith. sign in
Pith Number

pith:IVK7XBEX

pith:2012:IVK7XBEXEBHTP522PEBFPR25QB
not attested not anchored not stored refs pending

Majority and Plurality Problems

Bal\'azs Patk\'os, D\'aniel Gerbner, D\"om\"ot\"or P\'alv\"olgyi, Gyula O.H. Katona

arxiv:1203.1398 v1 · 2012-03-07 · math.CO · cs.DM

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{IVK7XBEXEBHTP522PEBFPR25QB}

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 2026-05-18T04:00:38.774770Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4555fb8497204f37f75a790257c75d806a259d4f1ffa7271394b4feeb002b0d2

Aliases

arxiv: 1203.1398 · arxiv_version: 1203.1398v1 · doi: 10.48550/arxiv.1203.1398 · pith_short_12: IVK7XBEXEBHT · pith_short_16: IVK7XBEXEBHTP522 · pith_short_8: IVK7XBEX
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/IVK7XBEXEBHTP522PEBFPR25QB \
  | 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: 4555fb8497204f37f75a790257c75d806a259d4f1ffa7271394b4feeb002b0d2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5f789ab36e2d017569a1a3c992131893d7f8e428d6e9969700c2dff99464b5c9",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-07T08:26:04Z",
    "title_canon_sha256": "6a2ab47dd85ade49581064bd6c273ef6955235d5400c7131a3ad6b9be47c834f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1398",
    "kind": "arxiv",
    "version": 1
  }
}