Pith Number

pith:KK4QLAFW

pith:2017:KK4QLAFWUMBUFXXKDBLXLMTTQD

not attested not anchored not stored refs pending

On the pointwise Bishop--Phelps--Bollob\'as property for operators

Han Ju Lee, Miguel Martin, Sheldon Dantas, Sun Kwang Kim, Vladimir Kadets

arxiv:1709.00032 v2 · 2017-08-31 · 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{KK4QLAFWUMBUFXXKDBLXLMTTQD}

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	2026-05-18T00:00:30.987638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b90580b6a30342deea185775b27380f3266ae12f5e745b7f44f1af7e7f2d16

Aliases

arxiv: 1709.00032 · arxiv_version: 1709.00032v2 · doi: 10.48550/arxiv.1709.00032 · pith_short_12: KK4QLAFWUMBU · pith_short_16: KK4QLAFWUMBUFXXK · pith_short_8: KK4QLAFW

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/KK4QLAFWUMBUFXXKDBLXLMTTQD \
  | 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: 52b90580b6a30342deea185775b27380f3266ae12f5e745b7f44f1af7e7f2d16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7909f249b21f81e832fc816add2ef617bdcfbe41f771a8a3df94702489454ae1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-08-31T18:29:38Z",
    "title_canon_sha256": "ea81d659f3dbd8f58af3a4c4be4d2b5cc5c43837208d9c1224ff0e8424d0aeb9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.00032",
    "kind": "arxiv",
    "version": 2
  }
}