Pith Number

pith:ID7UMS3O

pith:2006:ID7UMS3OSU6EZMJXRTWESVNQY7

not attested not anchored not stored refs pending

Uniformly gamma-radonifying families of operators and and the stochastic Weiss conjecture

Bernhard H. Haak, Jan van Neerven

arxiv:math/0611724 v3 · 2006-11-23 · 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{ID7UMS3OSU6EZMJXRTWESVNQY7}

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	2026-05-18T04:10:37.443379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40ff464b6e953c4cb1378cec4955b0c7d1c21024038da5e25036491b4f9f7c62

Aliases

arxiv: math/0611724 · arxiv_version: math/0611724v3 · doi: 10.48550/arxiv.math/0611724 · pith_short_12: ID7UMS3OSU6E · pith_short_16: ID7UMS3OSU6EZMJX · pith_short_8: ID7UMS3O

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/ID7UMS3OSU6EZMJXRTWESVNQY7 \
  | 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: 40ff464b6e953c4cb1378cec4955b0c7d1c21024038da5e25036491b4f9f7c62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "958f97f3a667ee273dc3956db38c916796a64060bb8bbb0fe587646942a7a1dc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2006-11-23T13:30:13Z",
    "title_canon_sha256": "b832d1f0a31391d821cfecc323f1a7965d44f6865c050ac0e5a878081483f7a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611724",
    "kind": "arxiv",
    "version": 3
  }
}