Pith Number

pith:RFEQ56TQ

pith:2017:RFEQ56TQSCXBLYRJPZPDJ2EHQY

not attested not anchored not stored refs pending

$L_p+L_\infty$ and $L_p\cap L_\infty$ are not isomorphic for all $1\le p<\infty,$ $p\ne 2$

L. Maligranda, S.V. Astashkin

arxiv:1704.01717 v1 · 2017-04-06 · 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{RFEQ56TQSCXBLYRJPZPDJ2EHQY}

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	2026-05-18T00:46:54.496653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89490efa7090ae15e2297e5e34e887860caa22fc9717be9075fffd9031bb2cb9

Aliases

arxiv: 1704.01717 · arxiv_version: 1704.01717v1 · doi: 10.48550/arxiv.1704.01717 · pith_short_12: RFEQ56TQSCXB · pith_short_16: RFEQ56TQSCXBLYRJ · pith_short_8: RFEQ56TQ

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/RFEQ56TQSCXBLYRJPZPDJ2EHQY \
  | 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: 89490efa7090ae15e2297e5e34e887860caa22fc9717be9075fffd9031bb2cb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c67a7ecf6b57a2a46f5a4e1230e637373a6753d219e85beb510b8249c994b1b9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2017-04-06T06:01:43Z",
    "title_canon_sha256": "7c02ad4221348aeac0ca1a7f5f1e8a82bd521231756843d81d3fa83f9868115d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01717",
    "kind": "arxiv",
    "version": 1
  }
}