Pith Number

pith:7XUTEE2F

pith:2019:7XUTEE2FXO2RXZ2GIORRDNSDIQ

not attested not anchored not stored refs pending

When Nilpotence Implies Normality of Bounded Linear Operators

Mohammed Hichem Mortad, Nassima Frid

arxiv:1901.09435 v1 · 2019-01-27 · math.FA · 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{7XUTEE2FXO2RXZ2GIORRDNSDIQ}

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	2026-05-17T23:55:24.750460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fde9321345bbb51be74643a311b643440fa77a1fcab8697b74ba2eabdc88b18d

Aliases

arxiv: 1901.09435 · arxiv_version: 1901.09435v1 · doi: 10.48550/arxiv.1901.09435 · pith_short_12: 7XUTEE2FXO2R · pith_short_16: 7XUTEE2FXO2RXZ2G · pith_short_8: 7XUTEE2F

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/7XUTEE2FXO2RXZ2GIORRDNSDIQ \
  | 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: fde9321345bbb51be74643a311b643440fa77a1fcab8697b74ba2eabdc88b18d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d77a3fe4bca87b96135fcd679b411059d33fc9679937f8d5658a995b48360e5",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-01-27T20:21:59Z",
    "title_canon_sha256": "1f683ba302233629b9ba07fab67180477fe34f39fe555f446289798dc865af1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.09435",
    "kind": "arxiv",
    "version": 1
  }
}