Pith Number

pith:WD4ISMLP

pith:2016:WD4ISMLP73ZRYNRRFJMPYG3MJB

not attested not anchored not stored refs pending

Numerical radius attaining compact linear operators

Angela Capel, Javier Meri, Miguel Martin

arxiv:1602.07084 v1 · 2016-02-23 · 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{WD4ISMLP73ZRYNRRFJMPYG3MJB}

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	2026-05-18T00:45:54.476875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f889316ffef31c36312a58fc1b6c48723faae83c8e9649317c4bd6949455a1

Aliases

arxiv: 1602.07084 · arxiv_version: 1602.07084v1 · doi: 10.48550/arxiv.1602.07084 · pith_short_12: WD4ISMLP73ZR · pith_short_16: WD4ISMLP73ZRYNRR · pith_short_8: WD4ISMLP

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/WD4ISMLP73ZRYNRRFJMPYG3MJB \
  | 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: b0f889316ffef31c36312a58fc1b6c48723faae83c8e9649317c4bd6949455a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "730df43570ca03f0cc12d2903a625d682d10849d950f6dfc22cf5648a8573c5c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-02-23T08:30:28Z",
    "title_canon_sha256": "a1e9f9f931779283f16475f2f9f285a05759a8349eb98069ca47bfc8bae34ca4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07084",
    "kind": "arxiv",
    "version": 1
  }
}