Pith Number

pith:2L7SA65V

pith:2013:2L7SA65VK3Y6H75ZEPC7E54LCV

not attested not anchored not stored refs pending

The least eigenvalue of signless Laplacian of non-bipartite graphs with given domination number

Ying-Ying Tan, Yi-Zheng Fan

arxiv:1309.1632 v2 · 2013-09-06 · 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{2L7SA65VK3Y6H75ZEPC7E54LCV}

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	2026-05-18T02:42:37.340347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2ff207bb556f1e3ffb923c5f2778b1573b54d62b73dee6ccd225cc375e4824d

Aliases

arxiv: 1309.1632 · arxiv_version: 1309.1632v2 · doi: 10.48550/arxiv.1309.1632 · pith_short_12: 2L7SA65VK3Y6 · pith_short_16: 2L7SA65VK3Y6H75Z · pith_short_8: 2L7SA65V

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/2L7SA65VK3Y6H75ZEPC7E54LCV \
  | 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: d2ff207bb556f1e3ffb923c5f2778b1573b54d62b73dee6ccd225cc375e4824d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80801bfc1748d0a46908749e675eb8489d69794cf2af5ffe3f60f5ecf593dfff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-06T13:18:46Z",
    "title_canon_sha256": "a9159203ec2bce799406f4685344cba119655ba466041766cbb222040d9d7d7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1632",
    "kind": "arxiv",
    "version": 2
  }
}