Pith Number

pith:RWFDYZHQ

pith:2013:RWFDYZHQEJJU3ZLAUEUHDGSWQZ

not attested not anchored not stored refs pending

A Criterion for the Normality of Unbounded Operators and Applications to Self-adjointness

Mohammed Hichem Mortad

arxiv:1301.0241 v3 · 2013-01-02 · 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{RWFDYZHQEJJU3ZLAUEUHDGSWQZ}

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	2026-05-18T03:36:45.917192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d8a3c64f022534de560a128719a56867339971988113ccb8c35c4d761af0f87

Aliases

arxiv: 1301.0241 · arxiv_version: 1301.0241v3 · doi: 10.48550/arxiv.1301.0241 · pith_short_12: RWFDYZHQEJJU · pith_short_16: RWFDYZHQEJJU3ZLA · pith_short_8: RWFDYZHQ

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/RWFDYZHQEJJU3ZLAUEUHDGSWQZ \
  | 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: 8d8a3c64f022534de560a128719a56867339971988113ccb8c35c4d761af0f87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2afdaf5bfb1c711d5246e1250130346911738259fd5b924b8547b39cf9e54947",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-02T14:43:11Z",
    "title_canon_sha256": "8fb2b85fb5c6358e9a663771493d6428a1e8cf1dd24797e195b5b3932e016d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0241",
    "kind": "arxiv",
    "version": 3
  }
}