Pith Number

pith:YA7YALAJ

pith:2011:YA7YALAJMHU6BBBXSPS2BZ2ULU

not attested not anchored not stored refs pending

On universal spaces for the class of Banach spaces whose dual balls are uniform Eberlein compacts

Christina Brech, Piotr Koszmider

arxiv:1103.4259 v1 · 2011-03-22 · math.FA · math.GN · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YA7YALAJMHU6BBBXSPS2BZ2ULU}

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	2026-05-18T04:26:21.277392Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03f802c0961e9e0843793e5a0e7545d0a7dbd325e54fa1ae27e90ea4a86fbb4

Aliases

arxiv: 1103.4259 · arxiv_version: 1103.4259v1 · doi: 10.48550/arxiv.1103.4259 · pith_short_12: YA7YALAJMHU6 · pith_short_16: YA7YALAJMHU6BBBX · pith_short_8: YA7YALAJ

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/YA7YALAJMHU6BBBXSPS2BZ2ULU \
  | 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: c03f802c0961e9e0843793e5a0e7545d0a7dbd325e54fa1ae27e90ea4a86fbb4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfda25d3f9e4a2f0cd16a037978bcd3e816c9f8e94bdb16cecf48ee31a629fbd",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-22T13:09:27Z",
    "title_canon_sha256": "9498d26f34a8adfaa2e2144d745842dae08d49d2fb2f232b78b37e37edf08817"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4259",
    "kind": "arxiv",
    "version": 1
  }
}