Pith Number

pith:Y7VJONRV

pith:2011:Y7VJONRVEPMDJ6F5JRE2PWO2FX

not attested not anchored not stored refs pending

A Littlewood-Paley type theorem for Bergman spaces

Wei Ouyang, Zeqian Chen

arxiv:1106.0951 v2 · 2011-06-06 · 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{Y7VJONRVEPMDJ6F5JRE2PWO2FX}

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	2026-05-18T03:31:31.053176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7ea97363523d834f8bd4c49a7d9da2dff489a1d28fab5a5b0c4c7e7c8dfa828

Aliases

arxiv: 1106.0951 · arxiv_version: 1106.0951v2 · doi: 10.48550/arxiv.1106.0951 · pith_short_12: Y7VJONRVEPMD · pith_short_16: Y7VJONRVEPMDJ6F5 · pith_short_8: Y7VJONRV

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/Y7VJONRVEPMDJ6F5JRE2PWO2FX \
  | 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: c7ea97363523d834f8bd4c49a7d9da2dff489a1d28fab5a5b0c4c7e7c8dfa828

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e77cb2de3be44ce694add9d8d093fa4fc98932c409b4e75ea4d6cbca58048d7",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-06-06T02:54:34Z",
    "title_canon_sha256": "66131ae5361265693f6594f791c96664c25f77e5aea8795edd21e4af105d6b98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0951",
    "kind": "arxiv",
    "version": 2
  }
}