Pith Number

pith:7KPQMWBS

pith:2009:7KPQMWBSEB34ZMRUMECA3WE3OL

not attested not anchored not stored refs pending

Vector measures of bounded gamma-variation and stochastic integrals

Jan van Neerven, Lutz Weis

arxiv:0906.1883 v1 · 2009-06-10 · 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{7KPQMWBSEB34ZMRUMECA3WE3OL}

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	2026-07-04T15:43:30.927352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fa9f0658322077ccb23461040dd89b72f95af7edd877cf03eca651b9550ab2c5

Aliases

arxiv: 0906.1883 · arxiv_version: 0906.1883v1 · doi: 10.48550/arxiv.0906.1883 · pith_short_12: 7KPQMWBSEB34 · pith_short_16: 7KPQMWBSEB34ZMRU · pith_short_8: 7KPQMWBS

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/7KPQMWBSEB34ZMRUMECA3WE3OL \
  | 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: fa9f0658322077ccb23461040dd89b72f95af7edd877cf03eca651b9550ab2c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01e364718d71e824a6ca1f7b8d0511582a089e1b17158f2f2f64cd0f672eed6b",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2009-06-10T08:33:43Z",
    "title_canon_sha256": "9332c04a8715e1791a30f13f36664c443c92598bba971bae3fd15ec1b0fc4938"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.1883",
    "kind": "arxiv",
    "version": 1
  }
}