Pith Number

pith:27SKLPYF

pith:2013:27SKLPYFCOVHULY2E2Q6EGTSO4

not attested not anchored not stored refs pending

Most Subsets are Balanced in Finite Groups

Kevin Vissuet, Steven J. Miller

arxiv:1308.2344 v2 · 2013-08-10 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27SKLPYFCOVHULY2E2Q6EGTSO4}

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	2026-05-18T03:01:46.280685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7e4a5bf0513aa7a2f1a26a1e21a72771f509960848f8722d3ff752c376dc504

Aliases

arxiv: 1308.2344 · arxiv_version: 1308.2344v2 · doi: 10.48550/arxiv.1308.2344 · pith_short_12: 27SKLPYFCOVH · pith_short_16: 27SKLPYFCOVHULY2 · pith_short_8: 27SKLPYF

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/27SKLPYFCOVHULY2E2Q6EGTSO4 \
  | 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: d7e4a5bf0513aa7a2f1a26a1e21a72771f509960848f8722d3ff752c376dc504

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f441382f6eba714b3f74b511e6fc82143909c489aad4b59610390897f6a600e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-10T21:46:21Z",
    "title_canon_sha256": "9da8da380dadc52dfa09b148e0fc1806a1f322387999a7de3dc3fb5befa3da84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.2344",
    "kind": "arxiv",
    "version": 2
  }
}