Pith Number

pith:2JZCDW5J

pith:1994:2JZCDW5JBEFXUOGIMJDMUL4ZLG

not attested not anchored not stored refs pending

A Banach subspace of $L_{1/2}$ which does not embed in $L_1$ (isometric version)

Alexander Koldobsky

arxiv:math/9404212 v1 · 1994-04-20 · 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{2JZCDW5JBEFXUOGIMJDMUL4ZLG}

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	2026-05-18T01:05:51.484893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d27221dba9090b7a38c86246ca2f9959a7fab52ae1cf24489b1653b978beb4f9

Aliases

arxiv: math/9404212 · arxiv_version: math/9404212v1 · doi: 10.48550/arxiv.math/9404212 · pith_short_12: 2JZCDW5JBEFX · pith_short_16: 2JZCDW5JBEFXUOGI · pith_short_8: 2JZCDW5J

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/2JZCDW5JBEFXUOGIMJDMUL4ZLG \
  | 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: d27221dba9090b7a38c86246ca2f9959a7fab52ae1cf24489b1653b978beb4f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f850f2c1d45a48396ee6db8c2b584493c5d0301259b8f0432ff9a43826106e12",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1994-04-20T15:08:43Z",
    "title_canon_sha256": "d2ec929bc451f5d1f9d7e8b50f5cca401f241c842fe82aa074eb2549596e06ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9404212",
    "kind": "arxiv",
    "version": 1
  }
}