Pith Number

pith:63LGCKM4

pith:2015:63LGCKM4TEELXN4XUIFLUCL2ER

not attested not anchored not stored refs pending

New atomic decompositons for Bergman spaces on the unit ball

Gestur \'Olafsson, Jens Christensen, Karlheinz Gr\"ochenig

arxiv:1504.00381 v1 · 2015-04-01 · 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{63LGCKM4TEELXN4XUIFLUCL2ER}

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	2026-05-18T02:19:43.426385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f6d661299c9908bbb797a20aba097a246e5d1938df0270e314e88a820cca7076

Aliases

arxiv: 1504.00381 · arxiv_version: 1504.00381v1 · doi: 10.48550/arxiv.1504.00381 · pith_short_12: 63LGCKM4TEEL · pith_short_16: 63LGCKM4TEELXN4X · pith_short_8: 63LGCKM4

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/63LGCKM4TEELXN4XUIFLUCL2ER \
  | 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: f6d661299c9908bbb797a20aba097a246e5d1938df0270e314e88a820cca7076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5c3202b12eb2d91784bec564ec20594740a53a71741ac9ac3f57da0111cecae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-04-01T20:43:02Z",
    "title_canon_sha256": "cf3b8d6467f65527444574b738c1dab892304a8cec323b07142b9e0d63903944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00381",
    "kind": "arxiv",
    "version": 1
  }
}