Pith Number

pith:CFXUQKGW

pith:2013:CFXUQKGWYF3POBGDOLIH6SWJ4Y

not attested not anchored not stored refs pending

Generalized Browder's theorem for tensor product and elementary operators

B. P. Duggal, Enrico Boasso

arxiv:1307.3342 v1 · 2013-07-12 · 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{CFXUQKGWYF3POBGDOLIH6SWJ4Y}

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	2026-05-18T03:18:39.418448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

116f4828d6c176f704c372d07f4ac9e635ba2ac5fd198a2280711a53965df102

Aliases

arxiv: 1307.3342 · arxiv_version: 1307.3342v1 · doi: 10.48550/arxiv.1307.3342 · pith_short_12: CFXUQKGWYF3P · pith_short_16: CFXUQKGWYF3POBGD · pith_short_8: CFXUQKGW

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/CFXUQKGWYF3POBGDOLIH6SWJ4Y \
  | 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: 116f4828d6c176f704c372d07f4ac9e635ba2ac5fd198a2280711a53965df102

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f077e6ead811862b2f88796765c64321192a2a742b9af29fd83fd64ca91673ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-07-12T06:34:34Z",
    "title_canon_sha256": "76a4b13e012246882c65b9c7e21782922b0f6fc00a273037fbec5b547e25e839"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3342",
    "kind": "arxiv",
    "version": 1
  }
}