Pith Number

pith:XKQV237U

pith:2014:XKQV237USHJFJ65UQPUABRI2ZF

not attested not anchored not stored refs pending

Approximation property and nuclearity on mixed-norm $L^p$, modulation and Wiener amalgam spaces

Baoxiang Wang, Julio Delgado, Michael Ruzhansky

arxiv:1410.4687 v2 · 2014-10-17 · math.FA · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKQV237USHJFJ65UQPUABRI2ZF}

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	2026-05-18T01:19:22.277144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa15d6ff491d254fbb483e800c51ac96e24f4014ada6c35ead17e27bda801da

Aliases

arxiv: 1410.4687 · arxiv_version: 1410.4687v2 · doi: 10.48550/arxiv.1410.4687 · pith_short_12: XKQV237USHJF · pith_short_16: XKQV237USHJFJ65U · pith_short_8: XKQV237U

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/XKQV237USHJFJ65UQPUABRI2ZF \
  | 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: baa15d6ff491d254fbb483e800c51ac96e24f4014ada6c35ead17e27bda801da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ca51f865eb72611a1451a0c68350016378c934f6f11d6792a275c0209141a24",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-17T11:09:35Z",
    "title_canon_sha256": "e9d0adcb6cbd20fa53b2d70925278dd4557b7b3f734d630e4cfe9d5dbc0ebf62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.4687",
    "kind": "arxiv",
    "version": 2
  }
}