Pith Number

pith:HF7RA4E2

pith:2016:HF7RA4E2GYMSB6U2IKJ3B3RHXG

not attested not anchored not stored refs pending

Carleson measures for Hardy and Bergman spaces in the quaternionic unit ball

Alberto Saracco, Irene Sabadini

arxiv:1601.03031 v2 · 2016-01-12 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HF7RA4E2GYMSB6U2IKJ3B3RHXG}

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	2026-05-18T00:52:17.595629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

397f10709a361920fa9a4293b0ee27b98a3e97677489f5fe358a25410ff986c6

Aliases

arxiv: 1601.03031 · arxiv_version: 1601.03031v2 · doi: 10.48550/arxiv.1601.03031 · pith_short_12: HF7RA4E2GYMS · pith_short_16: HF7RA4E2GYMSB6U2 · pith_short_8: HF7RA4E2

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/HF7RA4E2GYMSB6U2IKJ3B3RHXG \
  | 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: 397f10709a361920fa9a4293b0ee27b98a3e97677489f5fe358a25410ff986c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ad737f1dd92375d761655954ce76f757c3da8be92e77468e29d144b896b225",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-01-12T20:51:44Z",
    "title_canon_sha256": "8676c3ebc54caf09d454c7e35646a89bffbcf80ad38f0ea5fc0e334b38412f91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03031",
    "kind": "arxiv",
    "version": 2
  }
}