Pith Number

pith:KIT6DFUS

pith:2013:KIT6DFUSUZJPITATZ2RF2BYU5I

not attested not anchored not stored refs pending

On the Bishop-Phelps-Bollob\'as property for numerical radius

Han Ju Lee, Miguel Mart\'in, Sun Kwang Kim

arxiv:1312.7698 v3 · 2013-12-30 · 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{KIT6DFUSUZJPITATZ2RF2BYU5I}

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	2026-05-18T02:55:05.635165Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5227e19692a652f44c13cea25d0714ea3473d2737aee0490297401c13bd118a6

Aliases

arxiv: 1312.7698 · arxiv_version: 1312.7698v3 · doi: 10.48550/arxiv.1312.7698 · pith_short_12: KIT6DFUSUZJP · pith_short_16: KIT6DFUSUZJPITAT · pith_short_8: KIT6DFUS

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/KIT6DFUSUZJPITATZ2RF2BYU5I \
  | 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: 5227e19692a652f44c13cea25d0714ea3473d2737aee0490297401c13bd118a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c55844e9439f1aed32a739dd0a88b2d0600adf564b3e75f3cd36250aaec502e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-12-30T12:50:44Z",
    "title_canon_sha256": "ec8aca1d66d68ad78ea7cb3fca19ce1e4bd13fdca4dc860a65bbd569434a92be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7698",
    "kind": "arxiv",
    "version": 3
  }
}