Pith Number

pith:TFNWVNO3

pith:2013:TFNWVNO3UNDQEB5LDNDHNZQ6IB

not attested not anchored not stored refs pending

Atomic decomposition of real-variable type for Bergman spaces in the unit ball of $\mathbb{C}^n$

Wei Ouyang, Zeqian Chen

arxiv:1303.2182 v1 · 2013-03-09 · 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{TFNWVNO3UNDQEB5LDNDHNZQ6IB}

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	2026-05-18T03:31:19.757536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

995b6ab5dba3470207ab1b4676e61e4052c6ee172dc5e3468a91eba22784c29e

Aliases

arxiv: 1303.2182 · arxiv_version: 1303.2182v1 · doi: 10.48550/arxiv.1303.2182 · pith_short_12: TFNWVNO3UNDQ · pith_short_16: TFNWVNO3UNDQEB5L · pith_short_8: TFNWVNO3

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/TFNWVNO3UNDQEB5LDNDHNZQ6IB \
  | 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: 995b6ab5dba3470207ab1b4676e61e4052c6ee172dc5e3468a91eba22784c29e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bae241f705678aacaa2f3faa2a838fbe05cff21ee539e21ec1f246c8230b0e8",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-03-09T08:34:53Z",
    "title_canon_sha256": "2db7ed426c4e669952bee6e29949e28b4ab19deffae2ff5ab19dfd1d8e36a9f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.2182",
    "kind": "arxiv",
    "version": 1
  }
}