Pith Number

pith:CTTBZUKU

pith:2009:CTTBZUKURLAI4SB2XHGLHAUAFF

not attested not anchored not stored refs pending

Difference between minimum light numbers of sigma-game and lit-only sigma-game

Xinmao Wang, Yaokun Wu

arxiv:0904.3050 v1 · 2009-04-20 · 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{CTTBZUKURLAI4SB2XHGLHAUAFF}

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	2026-05-18T04:28:28.407962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14e61cd1548ac08e483ab9ccb38280294f0b1cf5e91681ad455c04439ba28afc

Aliases

arxiv: 0904.3050 · arxiv_version: 0904.3050v1 · doi: 10.48550/arxiv.0904.3050 · pith_short_12: CTTBZUKURLAI · pith_short_16: CTTBZUKURLAI4SB2 · pith_short_8: CTTBZUKU

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/CTTBZUKURLAI4SB2XHGLHAUAFF \
  | 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: 14e61cd1548ac08e483ab9ccb38280294f0b1cf5e91681ad455c04439ba28afc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3352e606ce0c8e5341ad22f136d933feb5f79e8c8dd3fd9adef7a34448a7a02b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-04-20T14:54:20Z",
    "title_canon_sha256": "89687fd51ba843ac98ccad91a2fe1cb4b4a773bf9bff8629365bdc47e901350c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.3050",
    "kind": "arxiv",
    "version": 1
  }
}