Pith Number

pith:SSJAKEF2

pith:2025:SSJAKEF2H4YUBRVLUFKUKYTR6R

not attested not anchored not stored refs pending

Cubic graphs with no eigenvalues in the interval (-2,0)

Gordon F. Royle, Krystal Guo

arxiv:2506.05861 v1 · 2025-06-06 · 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{SSJAKEF2H4YUBRVLUFKUKYTR6R}

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

Subcubic graphs without eigenvalues in $(-1, 1)$

Receipt and verification

First computed	2026-07-05T11:17:11.463821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94920510ba3f3140c6aba155456271f45bdaf9e046a1ca761637589cc044e97b

Aliases

arxiv: 2506.05861 · arxiv_version: 2506.05861v1 · doi: 10.48550/arxiv.2506.05861 · pith_short_12: SSJAKEF2H4YU · pith_short_16: SSJAKEF2H4YUBRVL · pith_short_8: SSJAKEF2

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/SSJAKEF2H4YUBRVLUFKUKYTR6R \
  | 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: 94920510ba3f3140c6aba155456271f45bdaf9e046a1ca761637589cc044e97b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd015027d1fca4f42f4db8031480ac730fd1140e758c731d480188da7796556",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-06T08:30:57Z",
    "title_canon_sha256": "6265b1ecb8e12661f85f287053249a9433b4a9bc250a2835d9b4147a002e4741"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.05861",
    "kind": "arxiv",
    "version": 1
  }
}