Pith Number

pith:DMCZBEJF

pith:2025:DMCZBEJFGYHI5JKSLJYP2YM4S4

not attested not anchored not stored refs pending

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

Shuchao Li, Yuantian Yu

arxiv:2508.12034 v1 · 2025-08-16 · 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{DMCZBEJFGYHI5JKSLJYP2YM4S4}

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.

Cited by

1 paper in Pith

A reduction principle for non-$r$-partite spectral extremal problems, with a complete multipartite classification

Receipt and verification

First computed	2026-07-05T11:54:59.064225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b05909125360e8ea5525a70fd619c970498817f24ec4ddc5f624189c8b86833

Aliases

arxiv: 2508.12034 · arxiv_version: 2508.12034v1 · doi: 10.48550/arxiv.2508.12034 · pith_short_12: DMCZBEJFGYHI · pith_short_16: DMCZBEJFGYHI5JKS · pith_short_8: DMCZBEJF

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/DMCZBEJFGYHI5JKSLJYP2YM4S4 \
  | 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: 1b05909125360e8ea5525a70fd619c970498817f24ec4ddc5f624189c8b86833

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e9811325ac60cabe1074cc5f404477b250148339ebd5671b8bad383c8d3308",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-08-16T13:18:49Z",
    "title_canon_sha256": "4b60e897b6e43c076c23f0c7e37f58e3970d17d649190fb0e43522583222494a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12034",
    "kind": "arxiv",
    "version": 1
  }
}