Pith Number

pith:YQDTBKM4

pith:2009:YQDTBKM4YJNTMZ4FHQASOTBKSV

not attested not anchored not stored refs pending

$\gamma$-Radonifying operators -- a survey

Jan van Neerven

arxiv:0911.3788 v2 · 2009-11-19 · 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{YQDTBKM4YJNTMZ4FHQASOTBKSV}

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.

Cited by

1 paper in Pith

Higher-order Persistence Diagrams

Receipt and verification

First computed	2026-07-04T17:21:30.176683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c40730a99cc25b3667853c01274c2a9555436ca26a96cd80c09a33f4ddf85f2d

Aliases

arxiv: 0911.3788 · arxiv_version: 0911.3788v2 · doi: 10.48550/arxiv.0911.3788 · pith_short_12: YQDTBKM4YJNT · pith_short_16: YQDTBKM4YJNTMZ4F · pith_short_8: YQDTBKM4

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/YQDTBKM4YJNTMZ4FHQASOTBKSV \
  | 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: c40730a99cc25b3667853c01274c2a9555436ca26a96cd80c09a33f4ddf85f2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18d12c882e56c85f0e0d33e0b8f98e4bf163003636ff7f562a1b054a5630cab",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-11-19T13:15:30Z",
    "title_canon_sha256": "9b82607711a32f2026f4a73c60bf12a7666b9e8769cbac04c2ddebcf0ee98618"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3788",
    "kind": "arxiv",
    "version": 2
  }
}