Pith Number

pith:5RF54S72

pith:2010:5RF54S72PRIOVGDXNLXZHP4CD2

not attested not anchored not stored refs pending

Unitary representations of unimodular Lie groups in Bergman spaces

Giuseppe Della Sala, Joe J. Perez

arxiv:1009.2110 v1 · 2010-09-10 · math.RT · 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{5RF54S72PRIOVGDXNLXZHP4CD2}

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	2026-05-18T04:41:04.755246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec4bde4bfa7c50ea98776aef93bf821eb5eee38cb2091ea5233b5621ad00bdea

Aliases

arxiv: 1009.2110 · arxiv_version: 1009.2110v1 · doi: 10.48550/arxiv.1009.2110 · pith_short_12: 5RF54S72PRIO · pith_short_16: 5RF54S72PRIOVGDX · pith_short_8: 5RF54S72

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/5RF54S72PRIOVGDXNLXZHP4CD2 \
  | 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: ec4bde4bfa7c50ea98776aef93bf821eb5eee38cb2091ea5233b5621ad00bdea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "581c21f5b5368aaebfdb101d62fed388fea0f5094c27c2bf5a04115f44f529b9",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2010-09-10T22:03:49Z",
    "title_canon_sha256": "f8bff4fae32cd1e2b46c24bcf6425551652d2efc0a7ca5ac803384f0b021fec0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2110",
    "kind": "arxiv",
    "version": 1
  }
}