Pith Number

pith:A2EHUFUD

pith:2023:A2EHUFUDOQ6AUJLRPLJPTAQF73

not attested not anchored not stored refs pending

The minimum positive uniform Tur\'an density in uniformly dense $k$-uniform hypergraphs

Guanghui Wang, Hao Lin, Wenling Zhou

arxiv:2305.01305 v1 · 2023-05-02 · 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{A2EHUFUDOQ6AUJLRPLJPTAQF73}

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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.

Cited by

1 paper in Pith

Uniform Tur\'an density beyond 3-graphs

Receipt and verification

First computed	2026-07-05T06:06:24.212499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06887a1683743c0a25717ad2f98205fec80c5bab2bae03b867c2df16070dda30

Aliases

arxiv: 2305.01305 · arxiv_version: 2305.01305v1 · doi: 10.48550/arxiv.2305.01305 · pith_short_12: A2EHUFUDOQ6A · pith_short_16: A2EHUFUDOQ6AUJLR · pith_short_8: A2EHUFUD

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/A2EHUFUDOQ6AUJLRPLJPTAQF73 \
  | 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: 06887a1683743c0a25717ad2f98205fec80c5bab2bae03b867c2df16070dda30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c82b7c209990b0e8430d7efcb4ad4557885fcb68d9fa907dfb4d54dbf1505887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-05-02T10:30:13Z",
    "title_canon_sha256": "3c05d94cbc90623f102a9adf459a368f89284cbc562d2a4f994c631c440ec72c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.01305",
    "kind": "arxiv",
    "version": 1
  }
}