Pith Number

pith:MBE2APQS

pith:2013:MBE2APQS2XB6L3M6EKBK5LS4GP

not attested not anchored not stored refs pending

Spectral radius and Hamiltonian properties of graphs

Bo Ning, Jun Ge

arxiv:1309.0217 v6 · 2013-09-01 · 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{MBE2APQS2XB6L3M6EKBK5LS4GP}

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	2026-05-18T02:27:29.546264Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6049a03e12d5c3e5ed9e2282aeae5c33e3dedd2f4ef641a936059c948aa7914d

Aliases

arxiv: 1309.0217 · arxiv_version: 1309.0217v6 · doi: 10.48550/arxiv.1309.0217 · pith_short_12: MBE2APQS2XB6 · pith_short_16: MBE2APQS2XB6L3M6 · pith_short_8: MBE2APQS

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/MBE2APQS2XB6L3M6EKBK5LS4GP \
  | 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: 6049a03e12d5c3e5ed9e2282aeae5c33e3dedd2f4ef641a936059c948aa7914d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57b3cb2efef01d7adfb01864d1c7df27e672479e14ee77d566bc2afbdf5b8ded",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-01T13:06:31Z",
    "title_canon_sha256": "313385c72b3417ac22d77637638b7efe21f7962afda4060dc31ad85cbb7ead62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.0217",
    "kind": "arxiv",
    "version": 6
  }
}