Pith Number

pith:WN2IIU4B

pith:2022:WN2IIU4BWHJ6H4AOPHPN5IADU6

not attested not anchored not stored refs pending

The spectra of the complements of graphs with given connectivity

Guoping Wang, Huan Qiu, Keng Li

arxiv:2209.05694 v2 · 2022-09-13 · 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{WN2IIU4BWHJ6H4AOPHPN5IADU6}

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	2026-07-05T06:13:53.057266Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b374845381b1d3e3f00e79dedea003a788004e4079b2e2b61cc4459c4f1eec80

Aliases

arxiv: 2209.05694 · arxiv_version: 2209.05694v2 · doi: 10.48550/arxiv.2209.05694 · pith_short_12: WN2IIU4BWHJ6 · pith_short_16: WN2IIU4BWHJ6H4AO · pith_short_8: WN2IIU4B

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/WN2IIU4BWHJ6H4AOPHPN5IADU6 \
  | 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: b374845381b1d3e3f00e79dedea003a788004e4079b2e2b61cc4459c4f1eec80

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "decdd3d74998f66d0ff55041c5c5222d7ffba13a0477c4c8831100f2a61c443f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-09-13T02:33:23Z",
    "title_canon_sha256": "45ced323bba8cb52f33eb9349101f7b15117e3a0ef24603c2831b5a2abc974ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.05694",
    "kind": "arxiv",
    "version": 2
  }
}