Pith Number

pith:5IWBZUNQ

pith:2023:5IWBZUNQPPEGPRM5MYX3JDMKUD

not attested not anchored not stored refs pending

A characterization of mixed $\lambda$-central $\mathrm{BMO}$ space via the commutators of Hardy type operators

Jiang Zhou, Wenna Lu

arxiv:2308.16108 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{5IWBZUNQPPEGPRM5MYX3JDMKUD}

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	2026-07-05T06:46:18.568087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2c1cd1b07bc867c59d662fb48d8aa0cfb0cc3b197fed67929f6c067b1fc5f9

Aliases

arxiv: 2308.16108 · arxiv_version: 2308.16108v1 · doi: 10.48550/arxiv.2308.16108 · pith_short_12: 5IWBZUNQPPEG · pith_short_16: 5IWBZUNQPPEGPRM5 · pith_short_8: 5IWBZUNQ

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/5IWBZUNQPPEGPRM5MYX3JDMKUD \
  | 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: ea2c1cd1b07bc867c59d662fb48d8aa0cfb0cc3b197fed67929f6c067b1fc5f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee1f27ca943b453b8816788693de36214bb2c02c4a2063ef81562bc531529358",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-08-30T16:04:36Z",
    "title_canon_sha256": "c077eeb66ff6aef19b2710fc907adcb558db310c1c5f4318c03c62c4f7c8b950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.16108",
    "kind": "arxiv",
    "version": 1
  }
}