Pith Number

pith:YY7UTM6D

pith:2013:YY7UTM6DCUQLHI7JR4WJKF7XZ3

not attested not anchored not stored refs pending

The smallest one-realization of a given set IV

Kaishun Wang, Kefeng Diao, Ping Zhao, Vitaly I. Voloshin

arxiv:1306.0634 v1 · 2013-06-04 · 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{YY7UTM6DCUQLHI7JR4WJKF7XZ3}

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	2026-05-18T03:21:54.478758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c63f49b3c31520b3a3e98f2c9517f7ced5f6cf34790d54d6f541139422f53741

Aliases

arxiv: 1306.0634 · arxiv_version: 1306.0634v1 · doi: 10.48550/arxiv.1306.0634 · pith_short_12: YY7UTM6DCUQL · pith_short_16: YY7UTM6DCUQLHI7J · pith_short_8: YY7UTM6D

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/YY7UTM6DCUQLHI7JR4WJKF7XZ3 \
  | 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: c63f49b3c31520b3a3e98f2c9517f7ced5f6cf34790d54d6f541139422f53741

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39e495b820e8153fac39d178af007d177a4ecad3ce34ec1ce22584ca9521fccd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-04T02:07:44Z",
    "title_canon_sha256": "4dc5b2d39391655911e0f3693805da8b5c816a46dd94c8628930e3557c4e01b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0634",
    "kind": "arxiv",
    "version": 1
  }
}