Pith Number

pith:LVLC554P

pith:2026:LVLC554PRHG7BXFSKQWLJYQUIM

not attested not anchored not stored refs pending

On a spectral booksize problem fo non bipartite graphs

Benju Wang, Jinlong Shu, ZhenZhen Lou

arxiv:2608.05947 v1 · 2026-08-06 · 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{LVLC554PRHG7BXFSKQWLJYQUIM}

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.

Receipt and verification

First computed	2026-08-07T00:53:55.863381Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d562ef78f89cdf0dcb2542cb4e214432d4ceb9e8db0a0930a99e337ebae5fc4

Aliases

arxiv: 2608.05947 · arxiv_version: 2608.05947v1 · doi: 10.48550/arxiv.2608.05947 · pith_short_12: LVLC554PRHG7 · pith_short_16: LVLC554PRHG7BXFS · pith_short_8: LVLC554P

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/LVLC554PRHG7BXFSKQWLJYQUIM \
  | 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: 5d562ef78f89cdf0dcb2542cb4e214432d4ceb9e8db0a0930a99e337ebae5fc4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf10f040fae640addd3c4d807f4eb2dab09af04d60aa1c45fb352a7d337fd580",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-08-06T12:17:33Z",
    "title_canon_sha256": "48c98238c710c40291180bcb39bf0f90e9914a3e46c289b554a04ffa873a6863"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05947",
    "kind": "arxiv",
    "version": 1
  }
}