Pith Number

pith:HHCC4QT4

pith:2016:HHCC4QT4QYA7T2EUPSFINXLE4D

not attested not anchored not stored refs pending

Integral operators mapping into the space of bounded analytic functions

Christian Pommerenke, Jos\'e A. Pel\'aez, Jouni R\"atty\"a, Manuel D. Contreras

arxiv:1604.01214 v1 · 2016-04-05 · math.FA · 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{HHCC4QT4QYA7T2EUPSFINXLE4D}

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	2026-05-18T01:17:38.830608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c42e427c8601f9e8947c8a86dd64e0fed737cc0132128dcd0a8e5954743908

Aliases

arxiv: 1604.01214 · arxiv_version: 1604.01214v1 · doi: 10.48550/arxiv.1604.01214 · pith_short_12: HHCC4QT4QYA7 · pith_short_16: HHCC4QT4QYA7T2EU · pith_short_8: HHCC4QT4

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/HHCC4QT4QYA7T2EUPSFINXLE4D \
  | 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: 39c42e427c8601f9e8947c8a86dd64e0fed737cc0132128dcd0a8e5954743908

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55cf2741ecdca80914a418204240805301f0d41d2a8c0f4ada04ecc39c02a10b",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-05T10:42:41Z",
    "title_canon_sha256": "2b276322d89468aeb3223998e64ac9b1a46a970e97d2d6dbb7635eeb161c46bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01214",
    "kind": "arxiv",
    "version": 1
  }
}