Pith Number

pith:TODAVWE7

pith:2022:TODAVWE7PWI3XZEM47DEUW3QW4

not attested not anchored not stored refs pending

The dual spaces of variable anisotropic Hardy-Lorentz spaces and continuity of a class of linear operators

Aiting Wang, Wenhua Wang

arxiv:2203.06838 v2 · 2022-03-14 · math.FA · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TODAVWE7PWI3XZEM47DEUW3QW4}

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	2026-07-05T04:30:55.479094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b860ad89f7d91bbe48ce7c64a5b70b70053b3c601f00b842db6504bb5948d07

Aliases

arxiv: 2203.06838 · arxiv_version: 2203.06838v2 · doi: 10.48550/arxiv.2203.06838 · pith_short_12: TODAVWE7PWI3 · pith_short_16: TODAVWE7PWI3XZEM · pith_short_8: TODAVWE7

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/TODAVWE7PWI3XZEM47DEUW3QW4 \
  | 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: 9b860ad89f7d91bbe48ce7c64a5b70b70053b3c601f00b842db6504bb5948d07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f69097f818ed80150477a90628da3c5cf73050cafff030eb5099148dd47b1b6",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2022-03-14T03:32:55Z",
    "title_canon_sha256": "2df5c8b5a4ace8c4e8cfd7ed76e223eeb397c6c94c428eb9ee90021f24339b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.06838",
    "kind": "arxiv",
    "version": 2
  }
}