Pith Number

pith:4RJYNZEM

pith:2018:4RJYNZEMUR6OY2JVFXIA5II23U

not attested not anchored not stored refs pending

Finding non-minority balls with majority and plurality queries

Bal\'azs Patk\'os, D\'aniel Gerbner, Huilan Chang

arxiv:1812.08850 v1 · 2018-12-20 · 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{4RJYNZEMUR6OY2JVFXIA5II23U}

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	2026-05-17T23:57:46.110933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e45386e48ca47cec69352dd00ea11add157cfb6b7c38b53bc785c55b68cff775

Aliases

arxiv: 1812.08850 · arxiv_version: 1812.08850v1 · doi: 10.48550/arxiv.1812.08850 · pith_short_12: 4RJYNZEMUR6O · pith_short_16: 4RJYNZEMUR6OY2JV · pith_short_8: 4RJYNZEM

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/4RJYNZEMUR6OY2JVFXIA5II23U \
  | 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: e45386e48ca47cec69352dd00ea11add157cfb6b7c38b53bc785c55b68cff775

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76d43970545e0c83d6de0bc7ba70a56fa2f76fe770f40a6707db2f045e8dc31f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-20T21:22:49Z",
    "title_canon_sha256": "4f7f1b032a2eb83807aeb8c1bb82995ce9118c7ad1503e83d3f82434ed7c1083"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08850",
    "kind": "arxiv",
    "version": 1
  }
}