Pith Number

pith:JT2JCNJC

pith:2011:JT2JCNJCSI2BPOULEN47ZGYRXI

not attested not anchored not stored refs pending

Error distributions for random grid approximations of multidimensional stochastic integrals

Carl Lindberg, Holger Rootz\'en

arxiv:1108.5063 v2 · 2011-08-25 · 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{JT2JCNJCSI2BPOULEN47ZGYRXI}

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	2026-05-18T03:12:35.339743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf4913522923417ba8b2379fc9b11ba2f34d47e202547b8491daf286cc83e76

Aliases

arxiv: 1108.5063 · arxiv_version: 1108.5063v2 · doi: 10.48550/arxiv.1108.5063 · pith_short_12: JT2JCNJCSI2B · pith_short_16: JT2JCNJCSI2BPOUL · pith_short_8: JT2JCNJC

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/JT2JCNJCSI2BPOULEN47ZGYRXI \
  | 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: 4cf4913522923417ba8b2379fc9b11ba2f34d47e202547b8491daf286cc83e76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4a20929a5d0678280d92a326d05c46c030aa4defb1d8427ac243cad35629696",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-08-25T11:35:42Z",
    "title_canon_sha256": "bc28f217267fffb13af194ca4c08cecc955f1b3c95afa84a21a8995dbdba6896"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5063",
    "kind": "arxiv",
    "version": 2
  }
}