Pith Number

pith:H6XM2YRX

pith:2015:H6XM2YRXQVELCZNSRGM4GYNIS4

not attested not anchored not stored refs pending

Monte Carlo versus multilevel Monte Carlo in weak error simulations of SPDE approximations

Andreas Petersson, Annika Lang

arxiv:1512.05317 v2 · 2015-12-16 · math.PR · cs.NA · math.NA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{H6XM2YRXQVELCZNSRGM4GYNIS4}

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	2026-06-04T17:09:49.797089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3faecd62378548b165b28999c361a8972ecaae8ab7e3f02a56762cf37bda14f9

Aliases

arxiv: 1512.05317 · arxiv_version: 1512.05317v2 · doi: 10.48550/arxiv.1512.05317 · pith_short_12: H6XM2YRXQVEL · pith_short_16: H6XM2YRXQVELCZNS · pith_short_8: H6XM2YRX

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/H6XM2YRXQVELCZNSRGM4GYNIS4 \
  | 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: 3faecd62378548b165b28999c361a8972ecaae8ab7e3f02a56762cf37bda14f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809f947db0a91931c488e79c3ec97d1554e582ca9cf3a1bdf360f961ee75d206",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-12-16T20:22:17Z",
    "title_canon_sha256": "1aeecede4813bb434879db92306022c7ed0901420eaedb7d155268c3f11561bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.05317",
    "kind": "arxiv",
    "version": 2
  }
}