Pith Number

pith:D4VBOAA2

pith:2024:D4VBOAA2JEF73C3DBZ4JW6FLKU

not attested not anchored not stored refs pending

Wheel-like bricks and minimal matching covered graphs

Fuliang Lu, Jinxin Xue, Xiaoling He

arxiv:2412.16465 v2 · 2024-12-21 · 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{D4VBOAA2JEF73C3DBZ4JW6FLKU}

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	2026-07-05T11:13:17.427534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1f2a17001a490bfd8b630e789b78ab553edc7a60d9e540b45911c7474314a4f5

Aliases

arxiv: 2412.16465 · arxiv_version: 2412.16465v2 · doi: 10.48550/arxiv.2412.16465 · pith_short_12: D4VBOAA2JEF7 · pith_short_16: D4VBOAA2JEF73C3D · pith_short_8: D4VBOAA2

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/D4VBOAA2JEF73C3DBZ4JW6FLKU \
  | 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: 1f2a17001a490bfd8b630e789b78ab553edc7a60d9e540b45911c7474314a4f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27b689a561c64e39dfe014fa5dbc87e6834b282a6f326fea35a8e9297e21ea4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-21T03:42:44Z",
    "title_canon_sha256": "f4b197101213b1540ce51158aff2c8d13de01dc94821f19b63cf72a38b38a3a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.16465",
    "kind": "arxiv",
    "version": 2
  }
}