Pith Number

pith:5MWIJGL5

pith:2013:5MWIJGL526GXRJ3QZDLMHBS2UJ

not attested not anchored not stored refs pending

The Bishop-Phelps-Bollob\'as property for numerical radius in $\ell_1(\mathbb{C})$

Antonio J. Guirao, Olena Kozhushkina

arxiv:1301.4574 v1 · 2013-01-19 · 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{5MWIJGL526GXRJ3QZDLMHBS2UJ}

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	2026-05-18T03:35:56.345815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb2c84997dd78d78a770c8d6c3865aa24fbc1b23240abce1f9fbed975eba6071

Aliases

arxiv: 1301.4574 · arxiv_version: 1301.4574v1 · doi: 10.48550/arxiv.1301.4574 · pith_short_12: 5MWIJGL526GX · pith_short_16: 5MWIJGL526GXRJ3Q · pith_short_8: 5MWIJGL5

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/5MWIJGL526GXRJ3QZDLMHBS2UJ \
  | 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: eb2c84997dd78d78a770c8d6c3865aa24fbc1b23240abce1f9fbed975eba6071

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "477f4d78e7a8c7cfe6eadab93a946cbc52ec3ff717b53d636688ded1144f4edb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-01-19T17:00:14Z",
    "title_canon_sha256": "e621a93cd1f597c2f0c0944f60efbebf78bb23e372d5928faee92a77b5b96ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4574",
    "kind": "arxiv",
    "version": 1
  }
}