Pith Number

pith:TH5LY44K

pith:2023:TH5LY44KRDDZU7YIVQKSFVR4F5

not attested not anchored not stored refs pending

Operator-Valued Hardy spaces and BMO Spaces on Spaces of Homogeneous Type

Guixiang Hong, Wenhua Wang, Zhijie Fan

arxiv:2311.15775 v1 · 2023-11-27 · math.FA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TH5LY44KRDDZU7YIVQKSFVR4F5}

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	2026-07-05T07:17:09.239495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99fabc738a88c79a7f08ac1522d63c2f5dcd8c0c47cb3b6f7052db5cb0b58a83

Aliases

arxiv: 2311.15775 · arxiv_version: 2311.15775v1 · doi: 10.48550/arxiv.2311.15775 · pith_short_12: TH5LY44KRDDZ · pith_short_16: TH5LY44KRDDZU7YI · pith_short_8: TH5LY44K

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/TH5LY44KRDDZU7YIVQKSFVR4F5 \
  | 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: 99fabc738a88c79a7f08ac1522d63c2f5dcd8c0c47cb3b6f7052db5cb0b58a83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eff5b6da8a9df421262879a60c91b12d4b5da7dbaa9161cc97e5d46006d8b17d",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-11-27T12:50:34Z",
    "title_canon_sha256": "e21b06f33e1452d11487d8fae4da60b0d72911da54124fdd084063fc42e687d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.15775",
    "kind": "arxiv",
    "version": 1
  }
}