Pith Number

pith:3VQCRHHK

pith:2026:3VQCRHHK3MYHEHJ65EZLIDNUG4

not attested not anchored not stored refs pending

On a hypergraph Tur\'an problem of Balogh-Bohman-Bollob\'as-Zhao

Heng Li, Jie Ma, Tianhen Wang, Tianming Zhu, Yixiao Zhang

arxiv:2606.12133 v1 · 2026-06-10 · 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{3VQCRHHK3MYHEHJ65EZLIDNUG4}

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	2026-06-11T01:10:50.088412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd60289ceadb30721d3ee932b40db4371061d3827bf123554ea89d1049d9318e

Aliases

arxiv: 2606.12133 · arxiv_version: 2606.12133v1 · doi: 10.48550/arxiv.2606.12133 · pith_short_12: 3VQCRHHK3MYH · pith_short_16: 3VQCRHHK3MYHEHJ6 · pith_short_8: 3VQCRHHK

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/3VQCRHHK3MYHEHJ65EZLIDNUG4 \
  | 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: dd60289ceadb30721d3ee932b40db4371061d3827bf123554ea89d1049d9318e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5449e0f4ad633b6073b0154061cff029ba132989029db2bce981af3f304e32f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-10T14:28:25Z",
    "title_canon_sha256": "610b9910a5bf5b48daf0431f4d06f85ad9bf5381d9f3c80eef11e301e74d92f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12133",
    "kind": "arxiv",
    "version": 1
  }
}