Pith Number

pith:O2QLVQRL

pith:2026:O2QLVQRLWVUBWI4OWZZSZCK35Q

not attested not anchored not stored refs pending

Kemeny Rank Aggregation is NP-Hard for Three Voters

Dominik Peters

arxiv:2607.25540 v1 · 2026-07-28 · cs.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O2QLVQRLWVUBWI4OWZZSZCK35Q}

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	2026-07-29T01:25:45.722011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76a0bac22bb5681b238eb6732c895bec046de45408aedc6d039e9367a576d24e

Aliases

arxiv: 2607.25540 · arxiv_version: 2607.25540v1 · doi: 10.48550/arxiv.2607.25540 · pith_short_12: O2QLVQRLWVUB · pith_short_16: O2QLVQRLWVUBWI4O · pith_short_8: O2QLVQRL

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/O2QLVQRLWVUBWI4OWZZSZCK35Q \
  | 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: 76a0bac22bb5681b238eb6732c895bec046de45408aedc6d039e9367a576d24e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08207894bbb514253fdf15d175770d514ef6c53341c7c46ca638015c66a2a262",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.GT",
    "submitted_at": "2026-07-28T10:20:56Z",
    "title_canon_sha256": "475bcb8e2db6a32a3e1312b0aa756b08ce0c31c0b9cdbb1f5e062e37080d65cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25540",
    "kind": "arxiv",
    "version": 1
  }
}