Pith Number

pith:QI6JBSIX

pith:2026:QI6JBSIXMA7IAIPTFZSMCZSZKY

not attested not anchored not stored refs pending

Abundance of Unique Subhypergraphs

Xichao Shu, Yisai Xue, Zhuo Wu

arxiv:2606.02546 v1 · 2026-06-01 · 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{QI6JBSIXMA7IAIPTFZSMCZSZKY}

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	2026-06-02T03:05:09.264437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

823c90c917603e8021f32e64c16659561fcda6db208bb6398e000bcebb8cff4f

Aliases

arxiv: 2606.02546 · arxiv_version: 2606.02546v1 · doi: 10.48550/arxiv.2606.02546 · pith_short_12: QI6JBSIXMA7I · pith_short_16: QI6JBSIXMA7IAIPT · pith_short_8: QI6JBSIX

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/QI6JBSIXMA7IAIPTFZSMCZSZKY \
  | 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: 823c90c917603e8021f32e64c16659561fcda6db208bb6398e000bcebb8cff4f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0727865ac2f929669ed621b12f27eb60c9c3c334d1914238c118ecc91cfdc44",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-01T17:48:48Z",
    "title_canon_sha256": "efd4fa7c55ffadda5e245d0ea4c64af09ae2109cb9e1f7ea02bebbf6965f68c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.02546",
    "kind": "arxiv",
    "version": 1
  }
}