Pith Number

pith:WY35VF5T

pith:2011:WY35VF5TUNFDIZBWXCHY5RNJ6Z

not attested not anchored not stored refs pending

The Tur\'an number of $F_{3,3}$

Dhruv Mubayi, Peter Keevash

arxiv:1102.2141 v1 · 2011-02-10 · 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{WY35VF5TUNFDIZBWXCHY5RNJ6Z}

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	2026-05-18T04:29:34.166986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b637da97b3a34a346436b88f8ec5a9f64026c8200d060d492279063d49259d83

Aliases

arxiv: 1102.2141 · arxiv_version: 1102.2141v1 · doi: 10.48550/arxiv.1102.2141 · pith_short_12: WY35VF5TUNFD · pith_short_16: WY35VF5TUNFDIZBW · pith_short_8: WY35VF5T

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/WY35VF5TUNFDIZBWXCHY5RNJ6Z \
  | 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: b637da97b3a34a346436b88f8ec5a9f64026c8200d060d492279063d49259d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2583603ad7743db31292d4cd92282101885e1d97049e6c39df3d80d3e09ee440",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-02-10T15:15:16Z",
    "title_canon_sha256": "a21c2370e66a0f94afc6d4cce834552af3c741c16c5eead158a9874f8a493c54"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.2141",
    "kind": "arxiv",
    "version": 1
  }
}