Pith Number

pith:KXCDBJUK

pith:2013:KXCDBJUKVMHR24CJDNC2QQMQ4U

not attested not anchored not stored refs pending

Simultaneously continuous retraction and Bishop-Phelps-Bollob\'as type theorem

Han Ju Lee, Sun Kwang Kim

arxiv:1308.1638 v2 · 2013-08-07 · 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{KXCDBJUKVMHR24CJDNC2QQMQ4U}

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	2026-05-18T02:54:21.350920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55c430a68aab0f1d70491b45a84190e52ebbd63bbc01de83c15621c29c2766d6

Aliases

arxiv: 1308.1638 · arxiv_version: 1308.1638v2 · doi: 10.48550/arxiv.1308.1638 · pith_short_12: KXCDBJUKVMHR · pith_short_16: KXCDBJUKVMHR24CJ · pith_short_8: KXCDBJUK

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/KXCDBJUKVMHR24CJDNC2QQMQ4U \
  | 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: 55c430a68aab0f1d70491b45a84190e52ebbd63bbc01de83c15621c29c2766d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa88f3da6d00bae916f69b50938db31c6467ef8364c7231fe63863688b90a05b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-07T17:20:03Z",
    "title_canon_sha256": "e096d24da2f99e9f56291d86483c2629c1931295acdfd759912811b1bb9c5b2f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1638",
    "kind": "arxiv",
    "version": 2
  }
}