Pith Number

pith:UWVXDICH

pith:2013:UWVXDICHTUKSS3ENHI75ZWC4M7

not attested not anchored not stored refs pending

Some sharp bounds on the distance signless Laplacian spectral radius of graphs

Lihua You, Wenxi Hong

arxiv:1308.3427 v1 · 2013-08-15 · 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{UWVXDICHTUKSS3ENHI75ZWC4M7}

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	2026-05-18T03:15:54.637289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5ab71a0479d15296c8d3a3fdcd85c67f6ab40dcf5ae1ae76ad19b526a535724

Aliases

arxiv: 1308.3427 · arxiv_version: 1308.3427v1 · doi: 10.48550/arxiv.1308.3427 · pith_short_12: UWVXDICHTUKS · pith_short_16: UWVXDICHTUKSS3EN · pith_short_8: UWVXDICH

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/UWVXDICHTUKSS3ENHI75ZWC4M7 \
  | 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: a5ab71a0479d15296c8d3a3fdcd85c67f6ab40dcf5ae1ae76ad19b526a535724

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "249ac352f5a33ece667df03d816d2938fb7015290fcad7d9892a9561c664882b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-08-15T15:03:45Z",
    "title_canon_sha256": "3b816de0a94ceff9d7e50f8d411062f9f4a4ca5e4ffc17bc9c7068b9a2dbd693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.3427",
    "kind": "arxiv",
    "version": 1
  }
}