Pith Number

pith:NRVYCENE

pith:2013:NRVYCENERMOAEGEFQDUXTTG5LA

not attested not anchored not stored refs pending

Notes on the sum of powers of the signless Laplacian eigenvalues of graphs

Jieshan Yang, Lihua You

arxiv:1306.1386 v1 · 2013-06-06 · 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{NRVYCENERMOAEGEFQDUXTTG5LA}

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	2026-05-18T03:21:34.377079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c6b8111a48b1c02188580e979ccdd5808a3b930c4633139bed972f5b919533f

Aliases

arxiv: 1306.1386 · arxiv_version: 1306.1386v1 · doi: 10.48550/arxiv.1306.1386 · pith_short_12: NRVYCENERMOA · pith_short_16: NRVYCENERMOAEGEF · pith_short_8: NRVYCENE

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/NRVYCENERMOAEGEFQDUXTTG5LA \
  | 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: 6c6b8111a48b1c02188580e979ccdd5808a3b930c4633139bed972f5b919533f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d3668f3ed9db863f5488e489fd874ae135be8dfab03123a4361f0312d3ec711",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-06T12:06:00Z",
    "title_canon_sha256": "e5ee51d0475e8d9686cc06528bc2914b0ebd7e297b93c7b3889d0a869a038fc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1386",
    "kind": "arxiv",
    "version": 1
  }
}