Pith Number

pith:42WN2DZH

pith:2015:42WN2DZH4G27N6TEJZA2FPCMB2

not attested not anchored not stored refs pending

An isometrically universal Banach space induced by a non-universal Boolean algebra

Christina Brech, Piotr Koszmider

arxiv:1505.04776 v1 · 2015-05-18 · 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{42WN2DZH4G27N6TEJZA2FPCMB2}

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	2026-05-18T02:07:24.629558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6acdd0f27e1b5f6fa644e41a2bc4c0ea6cb03c7bf19047f1ea2752086ded842

Aliases

arxiv: 1505.04776 · arxiv_version: 1505.04776v1 · doi: 10.48550/arxiv.1505.04776 · pith_short_12: 42WN2DZH4G27 · pith_short_16: 42WN2DZH4G27N6TE · pith_short_8: 42WN2DZH

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/42WN2DZH4G27N6TEJZA2FPCMB2 \
  | 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: e6acdd0f27e1b5f6fa644e41a2bc4c0ea6cb03c7bf19047f1ea2752086ded842

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62dc152a25e2f00beb3ed74b8a6b90186d0914bead8370f82edb7a2cf7e94178",
    "cross_cats_sorted": [
      "math.GN",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-05-18T19:43:58Z",
    "title_canon_sha256": "2ffa84c2cfb2436e1b2ed07fe0da6ecb7d3088439be1f0428141906da7b8fc44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.04776",
    "kind": "arxiv",
    "version": 1
  }
}