Pith Number

pith:RBC2NWVV

pith:2014:RBC2NWVVLUMI7HN5F5CEDOKKRU

not attested not anchored not stored refs pending

Weak factorization and Hankel forms for weighted Bergman spaces on the unit ball

Jordi Pau, Ruhan Zhao

arxiv:1407.4632 v2 · 2014-07-17 · 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{RBC2NWVVLUMI7HN5F5CEDOKKRU}

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	2026-05-18T02:29:52.971218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8845a6dab55d188f9dbd2f4441b94a8d3d35f0302eb65af848948c8b1f1dd54b

Aliases

arxiv: 1407.4632 · arxiv_version: 1407.4632v2 · doi: 10.48550/arxiv.1407.4632 · pith_short_12: RBC2NWVVLUMI · pith_short_16: RBC2NWVVLUMI7HN5 · pith_short_8: RBC2NWVV

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/RBC2NWVVLUMI7HN5F5CEDOKKRU \
  | 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: 8845a6dab55d188f9dbd2f4441b94a8d3d35f0302eb65af848948c8b1f1dd54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57bcf02e4c378cb083bed46082ab25c61317f4052058521b72bf84dfa171d166",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-07-17T11:12:30Z",
    "title_canon_sha256": "1396e7b8fc9b060b0947d88743c2089a785605ce39d4b1b7095457f721792473"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4632",
    "kind": "arxiv",
    "version": 2
  }
}