Pith Number

pith:5D6WJBEO

pith:2016:5D6WJBEO5JQEOWZUOPFR65Q3AN

not attested not anchored not stored refs pending

Distance signless Laplacian spectral radius and Hamiltonian properties of graphs

Ligong Wang, Qiannan Zhou

arxiv:1610.06979 v1 · 2016-10-22 · 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{5D6WJBEO5JQEOWZUOPFR65Q3AN}

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	2026-05-18T01:01:35.497971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8fd64848eea60475b3473cb1f761b0357cb299598f2856863b6fe5b505d0695

Aliases

arxiv: 1610.06979 · arxiv_version: 1610.06979v1 · doi: 10.48550/arxiv.1610.06979 · pith_short_12: 5D6WJBEO5JQE · pith_short_16: 5D6WJBEO5JQEOWZU · pith_short_8: 5D6WJBEO

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/5D6WJBEO5JQEOWZUOPFR65Q3AN \
  | 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: e8fd64848eea60475b3473cb1f761b0357cb299598f2856863b6fe5b505d0695

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c133c2e58a4d36d7de3a443b988dd33b0021f4769611218024406c28433e43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-22T00:01:03Z",
    "title_canon_sha256": "c04cebf1648c7090bdd4c4f4fc2696b4ed822a64ea6339822cecec548e054d5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.06979",
    "kind": "arxiv",
    "version": 1
  }
}