Pith Number

pith:EZLDH5C3

pith:2017:EZLDH5C3MDUHFMNVSLKJIZXXGD

not attested not anchored not stored refs pending

Asymptotics for the Tur\'an number of Berge-$K_{2,t}$

Abhishek Methuku, D\'aniel Gerbner, M\'at\'e Vizer

arxiv:1705.04134 v3 · 2017-05-11 · 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{EZLDH5C3MDUHFMNVSLKJIZXXGD}

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	2026-05-18T00:09:53.104259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265633f45b60e872b1b592d49466f730e29abe5cbc68bf327c5f748afede2058

Aliases

arxiv: 1705.04134 · arxiv_version: 1705.04134v3 · doi: 10.48550/arxiv.1705.04134 · pith_short_12: EZLDH5C3MDUH · pith_short_16: EZLDH5C3MDUHFMNV · pith_short_8: EZLDH5C3

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/EZLDH5C3MDUHFMNVSLKJIZXXGD \
  | 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: 265633f45b60e872b1b592d49466f730e29abe5cbc68bf327c5f748afede2058

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a2b13669e01cf58ab94421083fe8634b2ed9607bb9fd6fa08008ffa49a9b8aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-05-11T12:30:51Z",
    "title_canon_sha256": "a52766ed69f7376e2ca295785a6aef5847ac2216b96ae4a1bcbb059edfd65f2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04134",
    "kind": "arxiv",
    "version": 3
  }
}