Pith Number

pith:W3WNOR3X

pith:2019:W3WNOR3XHQQXORICK2B7O7WQFF

not attested not anchored not stored refs pending

On Yoshinaga's arrangement of lines and the containment problem

Maciej Zi\k{e}ba, Maria Tombarkiewicz

arxiv:1911.12057 v1 · 2019-11-27 · math.AG · math.AC · 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{W3WNOR3XHQQXORICK2B7O7WQFF}

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	2026-07-05T00:22:29.849011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6ecd747773c217745025683f77ed0295c92dd7f1dda5fe78673601673093cfb

Aliases

arxiv: 1911.12057 · arxiv_version: 1911.12057v1 · doi: 10.48550/arxiv.1911.12057 · pith_short_12: W3WNOR3XHQQX · pith_short_16: W3WNOR3XHQQXORIC · pith_short_8: W3WNOR3X

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/W3WNOR3XHQQXORICK2B7O7WQFF \
  | 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: b6ecd747773c217745025683f77ed0295c92dd7f1dda5fe78673601673093cfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f804d07a01d929ab3328a35f86ea60d01f0d55b6a9d9f223ee1c34542a0d440c",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-11-27T10:15:12Z",
    "title_canon_sha256": "e8ce0406584402a627ccd629f1bf88dd310c75379b6298becf67e70a45239e7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.12057",
    "kind": "arxiv",
    "version": 1
  }
}