Pith Number

pith:M5CFOBEO

pith:2025:M5CFOBEOYQYTXXE5UWMKO3LJEE

not attested not anchored not stored refs pending

The exact Tur\'an number of generalized book graph $B_{r,k}$ in non-$r$-partite graphs

Shuchao Li, Yuantian Yu

arxiv:2508.07533 v1 · 2025-08-11 · 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{M5CFOBEOYQYTXXE5UWMKO3LJEE}

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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

Spectral Tur\'an-type problem in non-$r$-partite graphs: Forbidden generalized book graph $B_{r,k}$

Receipt and verification

First computed	2026-07-05T11:51:47.728551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

674457048ec4313bdc9da598a76d692114e2415162d600efb9062cfa831e34ed

Aliases

arxiv: 2508.07533 · arxiv_version: 2508.07533v1 · doi: 10.48550/arxiv.2508.07533 · pith_short_12: M5CFOBEOYQYT · pith_short_16: M5CFOBEOYQYTXXE5 · pith_short_8: M5CFOBEO

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/M5CFOBEOYQYTXXE5UWMKO3LJEE \
  | 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: 674457048ec4313bdc9da598a76d692114e2415162d600efb9062cfa831e34ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ff36731dee035a9726bf1dedef99a885c3bbdacbad9eaa0e8855bb8bf73f230",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-11T01:25:34Z",
    "title_canon_sha256": "a0b99abdd1a99758d6705010816d24d2380feb3be8912b78892af504f18fb8f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07533",
    "kind": "arxiv",
    "version": 1
  }
}