Pith Number

pith:IHO7QKXD

pith:2019:IHO7QKXD434UQW2OVYPMZCEJLJ

not attested not anchored not stored refs pending

Hardy spaces on weighted homogeneous trees

Anita Tabacco, Laura Arditti, Maria Vallarino

arxiv:1902.09273 v1 · 2019-02-25 · 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{IHO7QKXD434UQW2OVYPMZCEJLJ}

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	2026-05-17T23:52:46.167001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ddf82ae3e6f9485b4eae1ecc88895a7bfd4a74598f13ba4db6090815dba868

Aliases

arxiv: 1902.09273 · arxiv_version: 1902.09273v1 · doi: 10.48550/arxiv.1902.09273 · pith_short_12: IHO7QKXD434U · pith_short_16: IHO7QKXD434UQW2O · pith_short_8: IHO7QKXD

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/IHO7QKXD434UQW2OVYPMZCEJLJ \
  | 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: 41ddf82ae3e6f9485b4eae1ecc88895a7bfd4a74598f13ba4db6090815dba868

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f68ae96d7f574253cf73b8cff9749d9a115f4b512bd1dca6abd528a9497d202",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-02-25T14:09:50Z",
    "title_canon_sha256": "e6baf1586b01699467a29dab673ed6ba036596ae9d757e66f79d356b9188eaf8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.09273",
    "kind": "arxiv",
    "version": 1
  }
}