Pith Number

pith:RRA4Y27A

pith:2024:RRA4Y27ALIH3N7TMVPLWTESM34

not attested not anchored not stored refs pending

The Planar Tur\'an Number of $\Theta_6$-graphs

David Guan, Diep Luong-Le, Ervin Gy\H{o}ri, Felicia Wang, Mengyuan Yang

arxiv:2406.19584 v1 · 2024-06-28 · 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{RRA4Y27ALIH3N7TMVPLWTESM34}

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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

Planar Tur\'an number of quasi-double stars

Receipt and verification

First computed	2026-07-05T08:37:42.074343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8c41cc6be05a0fb6fe6cabd769924cdf181e1b53463901684edd68ee9bd0faf9

Aliases

arxiv: 2406.19584 · arxiv_version: 2406.19584v1 · doi: 10.48550/arxiv.2406.19584 · pith_short_12: RRA4Y27ALIH3 · pith_short_16: RRA4Y27ALIH3N7TM · pith_short_8: RRA4Y27A

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/RRA4Y27ALIH3N7TMVPLWTESM34 \
  | 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: 8c41cc6be05a0fb6fe6cabd769924cdf181e1b53463901684edd68ee9bd0faf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f38b8252ae396bda9326a4601e56d1238c6c19f3a8ed8705cf00288c5ea35255",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-06-28T00:19:49Z",
    "title_canon_sha256": "b04c2257bab8b3f4a081ccfee66149c465c719a29959a0273879e634d7651776"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2406.19584",
    "kind": "arxiv",
    "version": 1
  }
}