Pith Number

pith:37HXFJX6

pith:2016:37HXFJX6JRVNTQLDOM6WWI7USH

not attested not anchored not stored refs pending

The $p$-spectral radius of the Laplacian

Carlos Hoppen, Eliseu Fritscher, Elizandro Max Borba, Sebastian Richter

arxiv:1612.02643 v1 · 2016-12-08 · 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{37HXFJX6JRVNTQLDOM6WWI7USH}

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	2026-05-18T00:55:33.187497Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfcf72a6fe4c6ad9c163733d6b23f491e53ebf539375cb69b11cd54483277a6e

Aliases

arxiv: 1612.02643 · arxiv_version: 1612.02643v1 · doi: 10.48550/arxiv.1612.02643 · pith_short_12: 37HXFJX6JRVN · pith_short_16: 37HXFJX6JRVNTQLD · pith_short_8: 37HXFJX6

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/37HXFJX6JRVNTQLDOM6WWI7USH \
  | 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: dfcf72a6fe4c6ad9c163733d6b23f491e53ebf539375cb69b11cd54483277a6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "723787cd7b576b43d819ef122590eab7229b54b25c4901c852130c896ea561f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-08T13:45:56Z",
    "title_canon_sha256": "50e861c110bf45abdc1ec30dcfdab4ce9a71aa8ac92e619043406a01dfa7331a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.02643",
    "kind": "arxiv",
    "version": 1
  }
}