Pith Number

pith:7N5D4EL5

pith:2009:7N5D4EL5QIL77YVJZU44N2OPZI

not attested not anchored not stored refs pending

The Beurling operator for the hyperbolic plane

H. Hedenmalm

arxiv:0906.0539 v3 · 2009-06-02 · math.CV · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7N5D4EL5QIL77YVJZU44N2OPZI}

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	2026-05-18T03:07:42.632121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb7a3e117d8217ffe2a9cd39c6e9cfca1943cbac7efa657447c3b1bd40d761a5

Aliases

arxiv: 0906.0539 · arxiv_version: 0906.0539v3 · doi: 10.48550/arxiv.0906.0539 · pith_short_12: 7N5D4EL5QIL7 · pith_short_16: 7N5D4EL5QIL77YVJ · pith_short_8: 7N5D4EL5

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/7N5D4EL5QIL77YVJZU44N2OPZI \
  | 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: fb7a3e117d8217ffe2a9cd39c6e9cfca1943cbac7efa657447c3b1bd40d761a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d661fcad49850c475632e608c91fdad3f4413672f57070b61a80a9b816ec1a4e",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2009-06-02T17:20:52Z",
    "title_canon_sha256": "42b17e173bf49bff0845a180d0a5d0e521526666852ab7477cf30b180374bb41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.0539",
    "kind": "arxiv",
    "version": 3
  }
}