Pith Number

pith:MHV6YVIX

pith:2009:MHV6YVIXRR5CGBS3VWRTGSFW7J

not attested not anchored not stored refs pending

A quantum version of Wielandt's inequality

D. Perez-Garcia, J. I. Cirac, M. M. Wolf, M. Sanz

arxiv:0909.5347 v2 · 2009-09-29 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MHV6YVIXRR5CGBS3VWRTGSFW7J}

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	2026-05-18T04:20:59.304466Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ebec55178c7a23065bada33348b6fa52c30558dc40391b479fcedcb42b5c76

Aliases

arxiv: 0909.5347 · arxiv_version: 0909.5347v2 · doi: 10.48550/arxiv.0909.5347 · pith_short_12: MHV6YVIXRR5C · pith_short_16: MHV6YVIXRR5CGBS3 · pith_short_8: MHV6YVIX

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/MHV6YVIXRR5CGBS3VWRTGSFW7J \
  | 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: 61ebec55178c7a23065bada33348b6fa52c30558dc40391b479fcedcb42b5c76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "defbddfd205155b084fa74b45127006d05c7042a3dee089a50c1a4bae1dea24b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-09-29T13:57:19Z",
    "title_canon_sha256": "a58dcc8b4901a1504801a9d2eb581e46ea389d9486a7c98f854581ef19ae0637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.5347",
    "kind": "arxiv",
    "version": 2
  }
}