Pith Number

pith:WAEOUH7G

pith:2024:WAEOUH7GJEVD5VRIKDV4IYPRG7

not attested not anchored not stored refs pending

The uniform Tur\'an density of large stars

Ander Lamaison, Zhuo Wu

arxiv:2409.03699 v1 · 2024-09-05 · 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{WAEOUH7GJEVD5VRIKDV4IYPRG7}

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.

Cited by

3 papers in Pith

Finite palette endpoints and degree-square Tur\'an problems

Tur\'an density of stars in uniformly dense hypergraphs

Uniform Tur\'an densities of $k$-uniform hypergraphs

Receipt and verification

First computed	2026-07-05T09:03:43.431190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b008ea1fe6492a3ed62850ebc461f137f9b3d4bd0c367dd62cb6c82a37b94600

Aliases

arxiv: 2409.03699 · arxiv_version: 2409.03699v1 · doi: 10.48550/arxiv.2409.03699 · pith_short_12: WAEOUH7GJEVD · pith_short_16: WAEOUH7GJEVD5VRI · pith_short_8: WAEOUH7G

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/WAEOUH7GJEVD5VRIKDV4IYPRG7 \
  | 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: b008ea1fe6492a3ed62850ebc461f137f9b3d4bd0c367dd62cb6c82a37b94600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "781767ea38c3c97bd28b88725d67604f7f58a6cebc981d95b5fbb58ce8f3ed08",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-05T16:55:35Z",
    "title_canon_sha256": "2225480e2f4e807764624c3e596811260bc3b820cc56d6f7218142fa87e72249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.03699",
    "kind": "arxiv",
    "version": 1
  }
}