Pith Number

pith:KKTSGHE3

pith:2014:KKTSGHE33JWWWBQV3EF6W77EJA

not attested not anchored not stored refs pending

Closure of Hardy spaces in the Bloch space

Jordi Pau, Nacho Monreal Gal\'an, Petros Galanopoulos

arxiv:1408.4724 v1 · 2014-08-20 · math.CV · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KKTSGHE33JWWWBQV3EF6W77EJA}

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	2026-05-18T02:44:48.259033Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52a7231c9bda6d6b0615d90beb7fe4482bb0154f14f2bc2a9556cda39887bbe0

Aliases

arxiv: 1408.4724 · arxiv_version: 1408.4724v1 · doi: 10.48550/arxiv.1408.4724 · pith_short_12: KKTSGHE33JWW · pith_short_16: KKTSGHE33JWWWBQV · pith_short_8: KKTSGHE3

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/KKTSGHE33JWWWBQV3EF6W77EJA \
  | 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: 52a7231c9bda6d6b0615d90beb7fe4482bb0154f14f2bc2a9556cda39887bbe0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "741bbe0c9336f7ca50e8d6f2b36b9e5675154c12db60fa062efa3141a6b4105b",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2014-08-20T17:00:49Z",
    "title_canon_sha256": "c00fa9409c4922c1dd150bfd4533f7161ea6bf82cf0de228bff1fadc4f4d66ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.4724",
    "kind": "arxiv",
    "version": 1
  }
}