Pith Number

pith:NOJLXIOY

pith:2013:NOJLXIOYFZWPXMH3S6L2BRQRWH

not attested not anchored not stored refs pending

The Bishop-Phelps-Bollob\'{a}s theorem for operators on $L_1(\mu)$

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

arxiv:1303.6078 v1 · 2013-03-25 · 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{NOJLXIOYFZWPXMH3S6L2BRQRWH}

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	2026-05-18T03:29:52.021797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b92bba1d82e6cfbb0fb9797a0c611b1ddac930778976d3853b31df4d80157df

Aliases

arxiv: 1303.6078 · arxiv_version: 1303.6078v1 · doi: 10.48550/arxiv.1303.6078 · pith_short_12: NOJLXIOYFZWP · pith_short_16: NOJLXIOYFZWPXMH3 · pith_short_8: NOJLXIOY

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/NOJLXIOYFZWPXMH3S6L2BRQRWH \
  | 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: 6b92bba1d82e6cfbb0fb9797a0c611b1ddac930778976d3853b31df4d80157df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "babd38628ae9dc49f95fa0b1a00c27b99fc637221128dda524d21eea3fc46644",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-25T10:45:42Z",
    "title_canon_sha256": "34bac0a1644c085b0dc2f8bf20274092a7d9d530f5843bca2e7a0efe07ea2705"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.6078",
    "kind": "arxiv",
    "version": 1
  }
}