Pith Number

pith:DLYRO5OY

pith:2012:DLYRO5OYFTOKMECJTJ7BXAHVQA

not attested not anchored not stored refs pending

Exponentials of Bounded Normal Operators

Aicha Chaban, Mohammed Hichem Mortad

arxiv:1205.5888 v1 · 2012-05-26 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DLYRO5OYFTOKMECJTJ7BXAHVQA}

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	2026-05-18T03:04:14.064833Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1af11775d82cdca610499a7e1b80f58029b7905292ce6df4ca989999b8733359

Aliases

arxiv: 1205.5888 · arxiv_version: 1205.5888v1 · doi: 10.48550/arxiv.1205.5888 · pith_short_12: DLYRO5OYFTOK · pith_short_16: DLYRO5OYFTOKMECJ · pith_short_8: DLYRO5OY

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/DLYRO5OYFTOKMECJTJ7BXAHVQA \
  | 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: 1af11775d82cdca610499a7e1b80f58029b7905292ce6df4ca989999b8733359

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6748d12d7d3d13e27549f84cdad31c9872ccdb9c978a300eb6dea5f8e627d577",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-05-26T14:59:26Z",
    "title_canon_sha256": "d5fe0414f7556f00a77096a152f8ebdafaec6064a4a601e49cead8bd3e98dd9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5888",
    "kind": "arxiv",
    "version": 1
  }
}