Pith Number

pith:YM33KGUE

pith:2013:YM33KGUEJPXOF5I6BEX42GAOPO

not attested not anchored not stored refs pending

Characterizations of EP and normal Banach algebra elements and Banach space operators

Enrico Boasso, Vladimir Rako\v{c}evi\'c

arxiv:1307.0750 v1 · 2013-07-02 · 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{YM33KGUEJPXOF5I6BEX42GAOPO}

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	2026-05-18T03:19:24.745379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c337b51a844beee2f51e092fcd180e7b973927e8ad5a7f89a72556c95c81674b

Aliases

arxiv: 1307.0750 · arxiv_version: 1307.0750v1 · doi: 10.48550/arxiv.1307.0750 · pith_short_12: YM33KGUEJPXO · pith_short_16: YM33KGUEJPXOF5I6 · pith_short_8: YM33KGUE

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/YM33KGUEJPXOF5I6BEX42GAOPO \
  | 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: c337b51a844beee2f51e092fcd180e7b973927e8ad5a7f89a72556c95c81674b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4501405c522e27dc1339ac201bad503e2ec24e885e1acaa95a2a24cdeb6c706c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-02T16:33:17Z",
    "title_canon_sha256": "03fee2b057bf951f38106f6e1a795482979294893a544a65fb16a8f49a9cfea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0750",
    "kind": "arxiv",
    "version": 1
  }
}