Pith Number

pith:P3MEBIBD

pith:2021:P3MEBIBDDNNVJFHOBQRB3VOYYK

not attested not anchored not stored refs pending

Stochastic Integrals and Gelfand Integration in Fr\'echet Spaces

Fred Espen Benth, Luca Galimberti

arxiv:2103.08171 v1 · 2021-03-15 · math.PR · 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{P3MEBIBDDNNVJFHOBQRB3VOYYK}

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	2026-07-05T02:22:48.516953Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ed840a0231b5b5494ee0c221dd5d8c2b0b459276c9beef82915a97a7f12d5de

Aliases

arxiv: 2103.08171 · arxiv_version: 2103.08171v1 · doi: 10.48550/arxiv.2103.08171 · pith_short_12: P3MEBIBDDNNV · pith_short_16: P3MEBIBDDNNVJFHO · pith_short_8: P3MEBIBD

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/P3MEBIBDDNNVJFHOBQRB3VOYYK \
  | 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: 7ed840a0231b5b5494ee0c221dd5d8c2b0b459276c9beef82915a97a7f12d5de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a358736efa9bb74849bc48c774a5d0bcfca9b82cba1dec05337f2414065157",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2021-03-15T07:27:41Z",
    "title_canon_sha256": "45b25f5d836447087fc9e389c7057ce19d587537118f3dbcb868107474d5feb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.08171",
    "kind": "arxiv",
    "version": 1
  }
}