Pith Number

pith:ZOCBEF4X

pith:2015:ZOCBEF4XENGIJYDEDYAHJCGJQC

not attested not anchored not stored refs pending

Weak Banach-Saks property and Komlos theorem for preduals of JBW$^*$-triples

Antonio M. Peralta, Hermann Pfitzner

arxiv:1505.05302 v1 · 2015-05-20 · math.OA · 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{ZOCBEF4XENGIJYDEDYAHJCGJQC}

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	2026-05-18T02:03:58.734981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb84121797234c84e0641e007488c980a1a72896e756534ee57eb959a4e883b3

Aliases

arxiv: 1505.05302 · arxiv_version: 1505.05302v1 · doi: 10.48550/arxiv.1505.05302 · pith_short_12: ZOCBEF4XENGI · pith_short_16: ZOCBEF4XENGIJYDE · pith_short_8: ZOCBEF4X

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/ZOCBEF4XENGIJYDEDYAHJCGJQC \
  | 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: cb84121797234c84e0641e007488c980a1a72896e756534ee57eb959a4e883b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "435de9bc8aee66b17980eb03695d71974e66d768d8c17a7e3a6c1e16492cb264",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2015-05-20T09:59:57Z",
    "title_canon_sha256": "85a4404adae184d2f1bbb87be750e2e5c70a5ba9bed4625f073956b8443ba439"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05302",
    "kind": "arxiv",
    "version": 1
  }
}