Pith Number

pith:J4ZNFGZX

pith:2012:J4ZNFGZXDDVJMPGKHNYTWJJUVD

not attested not anchored not stored refs pending

Two remarks about nilpotent operators of order two

Bob Lutz, Dan Timotin, Stephan Ramon Garcia

arxiv:1206.5523 v2 · 2012-06-24 · math.FA · math.CV · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4ZNFGZXDDVJMPGKHNYTWJJUVD}

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	2026-05-18T03:51:01.563970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f32d29b3718ea963cca3b713b2534a8ce660f5709b26a30fb66b8ee05715a02

Aliases

arxiv: 1206.5523 · arxiv_version: 1206.5523v2 · doi: 10.48550/arxiv.1206.5523 · pith_short_12: J4ZNFGZXDDVJ · pith_short_16: J4ZNFGZXDDVJMPGK · pith_short_8: J4ZNFGZX

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/J4ZNFGZXDDVJMPGKHNYTWJJUVD \
  | 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: 4f32d29b3718ea963cca3b713b2534a8ce660f5709b26a30fb66b8ee05715a02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "297f04e8b6f9551cbfa52ab0d8654fc35328db750157d338b7e969db0b10b533",
    "cross_cats_sorted": [
      "math.CV",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-06-24T17:11:48Z",
    "title_canon_sha256": "1add869dfd982be8c2c9543567d0c09af540f301e3fdc14e6f005095f658b2fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5523",
    "kind": "arxiv",
    "version": 2
  }
}