Pith Number

pith:VKCWWBP6

pith:2016:VKCWWBP6Y6RKOSAVZ7O6D6FP5A

not attested not anchored not stored refs pending

On the joint spectral radius of a nilpotent Lie algebra of matrices

Enrico Boasso

arxiv:1604.08715 v1 · 2016-04-29 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VKCWWBP6Y6RKOSAVZ7O6D6FP5A}

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	2026-05-18T01:16:02.089442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aa856b05fec7a2a74815cfdde1f8afe827555c691dd17d856b2f960a9940b8cb

Aliases

arxiv: 1604.08715 · arxiv_version: 1604.08715v1 · doi: 10.48550/arxiv.1604.08715 · pith_short_12: VKCWWBP6Y6RK · pith_short_16: VKCWWBP6Y6RKOSAV · pith_short_8: VKCWWBP6

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/VKCWWBP6Y6RKOSAVZ7O6D6FP5A \
  | 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: aa856b05fec7a2a74815cfdde1f8afe827555c691dd17d856b2f960a9940b8cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5ecd03c036b91248b1b08d49d6914ad38da9e42115893103bf0ea136d48a376",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-29T07:40:08Z",
    "title_canon_sha256": "2859210cea94dc001c886089bbb1a433afc28b648f5bd13b5968247b7ada4210"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.08715",
    "kind": "arxiv",
    "version": 1
  }
}