Pith Number

pith:YPEL553Y

pith:2014:YPEL553YBDZ4HRCFFPQA6PBMDZ

not attested not anchored not stored refs pending

Bourgain-Delbaen $\mathcal{L}^{\infty}$-sums of Banach spaces

Despoina Zisimopoulou

arxiv:1402.6564 v1 · 2014-02-26 · 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{YPEL553YBDZ4HRCFFPQA6PBMDZ}

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	2026-05-18T02:57:44.107478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c8bef77808f3c3c4452be00f3c2c1e67edbe465e257cd183073d9523adfcc6

Aliases

arxiv: 1402.6564 · arxiv_version: 1402.6564v1 · doi: 10.48550/arxiv.1402.6564 · pith_short_12: YPEL553YBDZ4 · pith_short_16: YPEL553YBDZ4HRCF · pith_short_8: YPEL553Y

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/YPEL553YBDZ4HRCFFPQA6PBMDZ \
  | 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: c3c8bef77808f3c3c4452be00f3c2c1e67edbe465e257cd183073d9523adfcc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32c8cd5af24cb5822ff45b99a111744c149e740de433968e2ccf77bee17ee1db",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-02-26T15:04:07Z",
    "title_canon_sha256": "ab346d78a20c824c52bb244e7c9170a8278b39f144b4740b514884db80d7e763"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.6564",
    "kind": "arxiv",
    "version": 1
  }
}