Pith Number

pith:IXM7J3MN

pith:2025:IXM7J3MND7C24RCM5CZX5AJBKU

not attested not anchored not stored refs pending

The planar Turan number of double star S_(3,5)

Dandan Liu, Shoujun Xu

arxiv:2503.03487 v3 · 2025-03-05 · 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{IXM7J3MND7C24RCM5CZX5AJBKU}

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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	2026-07-05T11:29:07.636205Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45d9f4ed8d1fc5ae444ce8b37e8121553f49cab8796b2db285091daa7af6d86a

Aliases

arxiv: 2503.03487 · arxiv_version: 2503.03487v3 · doi: 10.48550/arxiv.2503.03487 · pith_short_12: IXM7J3MND7C2 · pith_short_16: IXM7J3MND7C24RCM · pith_short_8: IXM7J3MN

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/IXM7J3MND7C24RCM5CZX5AJBKU \
  | 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: 45d9f4ed8d1fc5ae444ce8b37e8121553f49cab8796b2db285091daa7af6d86a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f0c99fc6d50b5d6e23238452b405e53227178d7bce3c45b074e92d596929df8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-03-05T13:25:04Z",
    "title_canon_sha256": "c9766aff145e2678b180578ebdd2875d68a8a6dbde31e5fa2165472463204e6e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.03487",
    "kind": "arxiv",
    "version": 3
  }
}