Pith Number

pith:24PS7MI2

pith:2013:24PS7MI2QERVCWMD4LQ6EU4MXT

not attested not anchored not stored refs pending

Drazin spectra of Banach space operators and Banach algebra elements

Enrico Boasso

arxiv:1307.6942 v1 · 2013-07-26 · 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{24PS7MI2QERVCWMD4LQ6EU4MXT}

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	2026-05-18T03:17:25.776758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d71f2fb11a8123515983e2e1e2538cbcd2169e691ed9a32b43868e934330c4ca

Aliases

arxiv: 1307.6942 · arxiv_version: 1307.6942v1 · doi: 10.48550/arxiv.1307.6942 · pith_short_12: 24PS7MI2QERV · pith_short_16: 24PS7MI2QERVCWMD · pith_short_8: 24PS7MI2

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/24PS7MI2QERVCWMD4LQ6EU4MXT \
  | 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: d71f2fb11a8123515983e2e1e2538cbcd2169e691ed9a32b43868e934330c4ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c345856b8034ff507344558b7be71fb1fb068adfb92c5d0ef064e002f84ddba",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-26T07:33:28Z",
    "title_canon_sha256": "654d7452f8f3df6146ad2e30b73e25cf4e3262f24f92d5ded407ef0b9ed8c7cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.6942",
    "kind": "arxiv",
    "version": 1
  }
}