Pith Number

pith:OOUZVG4O

pith:2012:OOUZVG4OJDKJZMHB4VURRX4XVZ

not attested not anchored not stored refs pending

An Inversion Formula for Orlicz Norms and Sequences of Random Variables

Joscha Prochno, Soeren Christensen, Stiene Riemer

arxiv:1204.1242 v1 · 2012-04-05 · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OOUZVG4OJDKJZMHB4VURRX4XVZ}

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	2026-05-18T03:58:27.127986Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73a99a9b8e48d49cb0e1e56918df97ae5e63f49734622f99faec545934802265

Aliases

arxiv: 1204.1242 · arxiv_version: 1204.1242v1 · doi: 10.48550/arxiv.1204.1242 · pith_short_12: OOUZVG4OJDKJ · pith_short_16: OOUZVG4OJDKJZMHB · pith_short_8: OOUZVG4O

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/OOUZVG4OJDKJZMHB4VURRX4XVZ \
  | 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: 73a99a9b8e48d49cb0e1e56918df97ae5e63f49734622f99faec545934802265

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "176156fb9b4348d89905935a464ab19df69980c0ac25747b622896c75e8c6f98",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-04-05T14:31:11Z",
    "title_canon_sha256": "5ac85b9b0d3bff840c22987f7b62780be4930fe864e5a40e052b69385d4b5a7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1242",
    "kind": "arxiv",
    "version": 1
  }
}