Pith Number

pith:LI6LZFPP

pith:2013:LI6LZFPPS2F35MPGWDTFWQOEDN

not attested not anchored not stored refs pending

A class of operators with normal Aluthge transformation

Yousef Estaremi

arxiv:1309.2465 v4 · 2013-09-10 · 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{LI6LZFPPS2F35MPGWDTFWQOEDN}

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	2026-05-18T03:10:45.531930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a3cbc95ef968bbeb1e6b0e65b41c41b73bdbc886d4bbde75fba94950e2b687d

Aliases

arxiv: 1309.2465 · arxiv_version: 1309.2465v4 · doi: 10.48550/arxiv.1309.2465 · pith_short_12: LI6LZFPPS2F3 · pith_short_16: LI6LZFPPS2F35MPG · pith_short_8: LI6LZFPP

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/LI6LZFPPS2F35MPGWDTFWQOEDN \
  | 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: 5a3cbc95ef968bbeb1e6b0e65b41c41b73bdbc886d4bbde75fba94950e2b687d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08926bb7c48d46ebaf69e560650e219953b374c3d7fe65653e7ef1e99274cfa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-10T11:37:49Z",
    "title_canon_sha256": "754ba86056e06efb258930d4610ff0d005f9811a3b19903292771527c19cb4d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2465",
    "kind": "arxiv",
    "version": 4
  }
}