Pith Number

pith:X2JJUKJQ

pith:2013:X2JJUKJQ2REZEIQWXRQ36T3WNS

not attested not anchored not stored refs pending

Cyclicity in weighted Bergman type spaces

Abdelouahab Hanine, Alexander Borichev, Omar El-Fallah

arxiv:1304.0994 v1 · 2013-04-03 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X2JJUKJQ2REZEIQWXRQ36T3WNS}

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	2026-05-18T03:29:05.584763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be929a2930d449922216bc61bf4f766ca04e7bf4d73a5e1305fe9d5d0ba98b83

Aliases

arxiv: 1304.0994 · arxiv_version: 1304.0994v1 · doi: 10.48550/arxiv.1304.0994 · pith_short_12: X2JJUKJQ2REZ · pith_short_16: X2JJUKJQ2REZEIQW · pith_short_8: X2JJUKJQ

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/X2JJUKJQ2REZEIQWXRQ36T3WNS \
  | 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: be929a2930d449922216bc61bf4f766ca04e7bf4d73a5e1305fe9d5d0ba98b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d06f6adbc70e85b8b919aaeeb33345dbc43eec489acea7ec16255bc3aada3dfe",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-04-03T15:54:46Z",
    "title_canon_sha256": "70af4d49b5b5ee40d61ef9f4c83dfbafeed058fadce3f3a457def0fcd21a85ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0994",
    "kind": "arxiv",
    "version": 1
  }
}