Pith Number

pith:QWZ7UCVQ

pith:2015:QWZ7UCVQ545TVSRBBJGZEQM4TB

not attested not anchored not stored refs pending

A Malliavin-Skorohod calculus in $L^0$ and $L^1$ for additive and Volterra-type processes

Giulia Di Nunno, Josep Vives

arxiv:1502.05631 v3 · 2015-02-19 · 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{QWZ7UCVQ545TVSRBBJGZEQM4TB}

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	2026-05-18T01:23:12.461039Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85b3fa0ab0ef3b3aca210a4d92419c9844bdf54d74c8a83bc37bc068baa1676e

Aliases

arxiv: 1502.05631 · arxiv_version: 1502.05631v3 · doi: 10.48550/arxiv.1502.05631 · pith_short_12: QWZ7UCVQ545T · pith_short_16: QWZ7UCVQ545TVSRB · pith_short_8: QWZ7UCVQ

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/QWZ7UCVQ545TVSRBBJGZEQM4TB \
  | 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: 85b3fa0ab0ef3b3aca210a4d92419c9844bdf54d74c8a83bc37bc068baa1676e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7bb8e3a43e847f6d511b2636563ca2bb9d6b026b288fb530e71b993f84c8c2d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-02-19T17:17:10Z",
    "title_canon_sha256": "0caeee75d32e2d597c7560d607f33efb656a30694c6be44e91db479094ae3dcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05631",
    "kind": "arxiv",
    "version": 3
  }
}