Pith Number

pith:47NLDQZZ

pith:2012:47NLDQZZGZXFV4P56MW5LCXN2K

not attested not anchored not stored refs pending

Strong Monotonicity of Spectral Radius of Positive Operators

Arkady K. Kitover, Donald W. Hadwin, Mehmet Orhon

arxiv:1205.5583 v2 · 2012-05-24 · 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{47NLDQZZGZXFV4P56MW5LCXN2K}

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	2026-05-18T03:45:55.215753Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7dab1c339366e5af1fdf32dd58aedd29f0478518e2fd109ed7fc96444c95333

Aliases

arxiv: 1205.5583 · arxiv_version: 1205.5583v2 · doi: 10.48550/arxiv.1205.5583 · pith_short_12: 47NLDQZZGZXF · pith_short_16: 47NLDQZZGZXFV4P5 · pith_short_8: 47NLDQZZ

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/47NLDQZZGZXFV4P56MW5LCXN2K \
  | 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: e7dab1c339366e5af1fdf32dd58aedd29f0478518e2fd109ed7fc96444c95333

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3fc8bf9beb7512e509bcc319b732c078f30eb8d77d9fd05591d74927486d861",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-24T22:05:19Z",
    "title_canon_sha256": "736841e6de535e4249ffbbda1fc46d75386dee3686cb78c2ad22d691b96dc8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5583",
    "kind": "arxiv",
    "version": 2
  }
}