Pith Number

pith:NZCYHKSA

pith:2013:NZCYHKSAIJFIBGXLQ3E7XOXTB3

not attested not anchored not stored refs pending

The Bishop-Phelps-Bollob\'as property for operators between spaces of continuous functions

Han Ju Lee, Julio Becerra, Maciej Ciesielski, Maria Acosta, Mary Lilian Louren\c{c}o, Miguel Martin, Sun Kwang Kim, Yun Sung Choi

arxiv:1306.6740 v2 · 2013-06-28 · 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{NZCYHKSAIJFIBGXLQ3E7XOXTB3}

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	2026-05-18T03:17:56.261988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e4583aa40424a809aeb86c9fbbaf30ed79cbe8077db65748335fb291c1e842f

Aliases

arxiv: 1306.6740 · arxiv_version: 1306.6740v2 · doi: 10.48550/arxiv.1306.6740 · pith_short_12: NZCYHKSAIJFI · pith_short_16: NZCYHKSAIJFIBGXL · pith_short_8: NZCYHKSA

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/NZCYHKSAIJFIBGXLQ3E7XOXTB3 \
  | 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: 6e4583aa40424a809aeb86c9fbbaf30ed79cbe8077db65748335fb291c1e842f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce63cef869e8e9f92312a9672bfd58819c33a3edc1e8d0f8a1ec856deb1537f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-06-28T07:38:35Z",
    "title_canon_sha256": "7fe2d8379b5dae396361580dd9d1ca2e61d4aa5539ea4e1cc8951da60d5e6a84"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6740",
    "kind": "arxiv",
    "version": 2
  }
}