Pith Number

pith:UASONGUX

pith:2015:UASONGUXGFJ4EPGLMSWNFMSRRV

not attested not anchored not stored refs pending

On the paper: Numerical radius preserving linear maps on Banach algebras

M. El Azhari

arxiv:1512.06847 v2 · 2015-12-20 · 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{UASONGUXGFJ4EPGLMSWNFMSRRV}

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	2026-05-18T00:32:55.677441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a024e69a973153c23ccb64acd2b2518d4124a37f30cda093237fea36e5520819

Aliases

arxiv: 1512.06847 · arxiv_version: 1512.06847v2 · doi: 10.48550/arxiv.1512.06847 · pith_short_12: UASONGUXGFJ4 · pith_short_16: UASONGUXGFJ4EPGL · pith_short_8: UASONGUX

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/UASONGUXGFJ4EPGLMSWNFMSRRV \
  | 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: a024e69a973153c23ccb64acd2b2518d4124a37f30cda093237fea36e5520819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5021dcfbb9f94620956b1d4114580da1661304f4f15c29183c3d4d65b4bf0fe7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-20T18:32:48Z",
    "title_canon_sha256": "15ae83a875474ac9143109e7e9ea2655576ef9bef0af5c68488684a16847bed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06847",
    "kind": "arxiv",
    "version": 2
  }
}