Pith Number

pith:YXLZTMHZ

pith:2018:YXLZTMHZ3I63CPHKZSJYHZPWIR

not attested not anchored not stored refs pending

Counterexamples Related to Commutators of Unbounded Operators

Mohammed Hichem Mortad

arxiv:1811.09893 v1 · 2018-11-24 · 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{YXLZTMHZ3I63CPHKZSJYHZPWIR}

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	2026-05-17T23:59:59.196685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5d799b0f9da3db13ceacc9383e5f64478e4afaf0697f15b858a14f86a1a96bf

Aliases

arxiv: 1811.09893 · arxiv_version: 1811.09893v1 · doi: 10.48550/arxiv.1811.09893 · pith_short_12: YXLZTMHZ3I63 · pith_short_16: YXLZTMHZ3I63CPHK · pith_short_8: YXLZTMHZ

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/YXLZTMHZ3I63CPHKZSJYHZPWIR \
  | 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: c5d799b0f9da3db13ceacc9383e5f64478e4afaf0697f15b858a14f86a1a96bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3232130e4e2727ba672778a1ac40334ac0ba48e4ff7bf1eb40eeb9a9ba9a201",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-11-24T20:42:14Z",
    "title_canon_sha256": "dd29f75e6883a835c90438dddcb0392a6554bce9486696b9776370fac792db25"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09893",
    "kind": "arxiv",
    "version": 1
  }
}