Pith Number

pith:ST37V5IV

pith:2018:ST37V5IVYUMAPIRBAJJKAMBHCI

not attested not anchored not stored refs pending

On the Existence of Normal Square and Nth Roots of Operators

Mohammed Hichem Mortad

arxiv:1801.06884 v3 · 2018-01-21 · 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{ST37V5IVYUMAPIRBAJJKAMBHCI}

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	2026-05-18T00:20:23.932698Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

94f7faf515c51807a2210252a03027120e60c5b104644bc04d639ba2ad71fabe

Aliases

arxiv: 1801.06884 · arxiv_version: 1801.06884v3 · doi: 10.48550/arxiv.1801.06884 · pith_short_12: ST37V5IVYUMA · pith_short_16: ST37V5IVYUMAPIRB · pith_short_8: ST37V5IV

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/ST37V5IVYUMAPIRBAJJKAMBHCI \
  | 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: 94f7faf515c51807a2210252a03027120e60c5b104644bc04d639ba2ad71fabe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2892c7e1b36ba116d520e2bc7e74303fe1eb04fbed38a9a3b24b320e87ab13a1",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-01-21T19:35:10Z",
    "title_canon_sha256": "6e0a1aa381ccab02f8ce0ec9b79fee6a04d86fe8fce6100ae3f393d336a7ffe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.06884",
    "kind": "arxiv",
    "version": 3
  }
}