Pith Number

pith:THA2OZ74

pith:2016:THA2OZ74R65WGSB3PAPAZS4LTG

not attested not anchored not stored refs pending

The graphs with exactly two distance eigenvalues different from $-1$ and $-3$

Lu Lu, Qiongxiang Huang, Xueyi Huang

arxiv:1606.07551 v1 · 2016-06-24 · 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{THA2OZ74R65WGSB3PAPAZS4LTG}

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	2026-05-18T00:58:55.098354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99c1a767fc8fbb63483b781e0ccb8b99af57c52cc25e4690c7d0d3b1d14ff701

Aliases

arxiv: 1606.07551 · arxiv_version: 1606.07551v1 · doi: 10.48550/arxiv.1606.07551 · pith_short_12: THA2OZ74R65W · pith_short_16: THA2OZ74R65WGSB3 · pith_short_8: THA2OZ74

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/THA2OZ74R65WGSB3PAPAZS4LTG \
  | 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: 99c1a767fc8fbb63483b781e0ccb8b99af57c52cc25e4690c7d0d3b1d14ff701

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "617192356c0ba077b508f20f755a89c56ba0b5e4474a216d23786ac21747f164",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-24T03:17:53Z",
    "title_canon_sha256": "779105e6d6c27c44d7d366c2c046285ecebd25b1eeb8568c5132daa39814967d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07551",
    "kind": "arxiv",
    "version": 1
  }
}