Pith Number

pith:GKU55VQM

pith:2023:GKU55VQM5SF5SKRBIRR4XRFY5Q

not attested not anchored not stored refs pending

Characterizations of the mixed central Campanato spaces via the commutator operators of Hardy type

Jiang Zhou, Wenna Lu

arxiv:2308.16214 v1 · 2023-08-30 · 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{GKU55VQM5SF5SKRBIRR4XRFY5Q}

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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	2026-07-05T06:46:24.138672Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32a9ded60cec8bd92a214463cbc4b8ec18c4325adaea4b701cec924887baa8d1

Aliases

arxiv: 2308.16214 · arxiv_version: 2308.16214v1 · doi: 10.48550/arxiv.2308.16214 · pith_short_12: GKU55VQM5SF5 · pith_short_16: GKU55VQM5SF5SKRB · pith_short_8: GKU55VQM

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/GKU55VQM5SF5SKRBIRR4XRFY5Q \
  | 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: 32a9ded60cec8bd92a214463cbc4b8ec18c4325adaea4b701cec924887baa8d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38a5d67f9599b1f7071a9d726704aded219e7b7d17548481a24780f88cca9870",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-08-30T16:10:37Z",
    "title_canon_sha256": "d0796ca1a95912d2cc2b94c04be7f4d8d1b82a6c3e68e2c1bf7caad3a55f49c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16214",
    "kind": "arxiv",
    "version": 1
  }
}