Pith Number

pith:L75LIVQ5

pith:2013:L75LIVQ5QXMYF2ZUHHPJGXOSGW

not attested not anchored not stored refs pending

The Drazin spectrum in Banach algebras

Enrico Boasso

arxiv:1309.5025 v1 · 2013-09-19 · 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{L75LIVQ5QXMYF2ZUHHPJGXOSGW}

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	2026-05-18T03:12:49.034824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ffab4561d85d982eb3439de935dd2359bcdf4464c40fe7116cc976c6ad23109

Aliases

arxiv: 1309.5025 · arxiv_version: 1309.5025v1 · doi: 10.48550/arxiv.1309.5025 · pith_short_12: L75LIVQ5QXMY · pith_short_16: L75LIVQ5QXMYF2ZU · pith_short_8: L75LIVQ5

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/L75LIVQ5QXMYF2ZUHHPJGXOSGW \
  | 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: 5ffab4561d85d982eb3439de935dd2359bcdf4464c40fe7116cc976c6ad23109

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a156dddf4908303e5bce60cc42c0e847bdfefcfeee5a9c75726243473acbed01",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-09-19T15:28:52Z",
    "title_canon_sha256": "a518f10d81d4c2c2705fab94339eefcdc3981e67a9e696c7971cebeeba91d92f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5025",
    "kind": "arxiv",
    "version": 1
  }
}