Pith Number

pith:5THHDWK4

pith:2015:5THHDWK4W4EK7A23UKKITMVBSI

not attested not anchored not stored refs pending

New Bounds for the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs

Alessandra Cornaro, Gian Paolo Clemente

arxiv:1508.00386 v1 · 2015-08-03 · 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{5THHDWK4W4EK7A23UKKITMVBSI}

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	2026-05-18T01:07:21.140720Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecce71d95cb708af835ba29489b2a192055ebe60884fa57426f98e8597dcb731

Aliases

arxiv: 1508.00386 · arxiv_version: 1508.00386v1 · doi: 10.48550/arxiv.1508.00386 · pith_short_12: 5THHDWK4W4EK · pith_short_16: 5THHDWK4W4EK7A23 · pith_short_8: 5THHDWK4

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/5THHDWK4W4EK7A23UKKITMVBSI \
  | 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: ecce71d95cb708af835ba29489b2a192055ebe60884fa57426f98e8597dcb731

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecbf54354d3e14cce45f7843ce9551de401765961505d96b47a2754b0c5ccd85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-03T12:05:50Z",
    "title_canon_sha256": "61dd109bb52660f9ae3efe62a43f341552a5a3075bf2541dcbe2a5cda3467b53"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00386",
    "kind": "arxiv",
    "version": 1
  }
}