Pith Number

pith:NB3UOFCV

pith:2011:NB3UOFCVGMPLGBXUGPVIGQDZVO

not attested not anchored not stored refs pending

New Bounds for the Laplacian Spectral Radius of a Signed Graph

Nathan Reff

arxiv:1103.4629 v1 · 2011-03-23 · 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{NB3UOFCVGMPLGBXUGPVIGQDZVO}

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	2026-05-18T04:26:01.201711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6877471455331eb306f433ea834079aba4ddbe46fc27513dd4f96a604650b2e1

Aliases

arxiv: 1103.4629 · arxiv_version: 1103.4629v1 · doi: 10.48550/arxiv.1103.4629 · pith_short_12: NB3UOFCVGMPL · pith_short_16: NB3UOFCVGMPLGBXU · pith_short_8: NB3UOFCV

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/NB3UOFCVGMPLGBXUGPVIGQDZVO \
  | 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: 6877471455331eb306f433ea834079aba4ddbe46fc27513dd4f96a604650b2e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58a026a2bbf7985369e1ff6cf20d4055e0305e9b85a023a885c2368bb8f4a0ac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-23T20:58:48Z",
    "title_canon_sha256": "3481c3f86ce2a7f94173422dd117aee023b5cdca629aa335abc16770913d1b3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4629",
    "kind": "arxiv",
    "version": 1
  }
}