Pith Number

pith:FFNLHEO4

pith:2024:FFNLHEO4YEMUGV3CR7QNNS22EX

not attested not anchored not stored refs pending

The planar Tur\'an number of double star $S_{2,4}$

Jiawei Shao, Xin Xu

arxiv:2409.01016 v1 · 2024-09-02 · math.CO

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FFNLHEO4YEMUGV3CR7QNNS22EX}

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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

The Outerplanar Tur\'{a}n Number of Double Stars

Receipt and verification

First computed	2026-07-05T11:16:03.471193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

295ab391dcc1194357628fe0d6cb5a25f709cbb0620dc767167c4cb92cdd3b8c

Aliases

arxiv: 2409.01016 · arxiv_version: 2409.01016v1 · doi: 10.48550/arxiv.2409.01016 · pith_short_12: FFNLHEO4YEMU · pith_short_16: FFNLHEO4YEMUGV3C · pith_short_8: FFNLHEO4

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/FFNLHEO4YEMUGV3CR7QNNS22EX \
  | 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: 295ab391dcc1194357628fe0d6cb5a25f709cbb0620dc767167c4cb92cdd3b8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "328635c6cb620d0267bc34afdd329e47f055ac4185c663d3a12d71d4e95f63c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-09-02T07:49:57Z",
    "title_canon_sha256": "22dffb01dace9b6465ed81a4534fa4ed38f3faeb22b479ec681b09cbce8c6ed1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.01016",
    "kind": "arxiv",
    "version": 1
  }
}