Pith Number

pith:52RUQSD2

pith:2012:52RUQSD2BN5XCMSFMCHUDVRFY4

not attested not anchored not stored refs pending

Optimal randomized multilevel algorithms for infinite-dimensional integration on function spaces with ANOVA-type decomposition

Jan Baldeaux, Michael Gnewuch

arxiv:1209.0882 v1 · 2012-09-05 · math.NA · cs.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{52RUQSD2BN5XCMSFMCHUDVRFY4}

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	2026-06-03T23:07:26.012007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eea348487a0b7b713245608f41d625c73b77799b50a00f18302c9309f3f185cd

Aliases

arxiv: 1209.0882 · arxiv_version: 1209.0882v1 · doi: 10.48550/arxiv.1209.0882 · pith_short_12: 52RUQSD2BN5X · pith_short_16: 52RUQSD2BN5XCMSF · pith_short_8: 52RUQSD2

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/52RUQSD2BN5XCMSFMCHUDVRFY4 \
  | 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: eea348487a0b7b713245608f41d625c73b77799b50a00f18302c9309f3f185cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa074ee7cbc7ab41d4a3de08924409e69b8208dcef3a91de39d19cacbd603896",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-09-05T07:54:26Z",
    "title_canon_sha256": "fb715b59b1287c2ec9e77ab30fb6215257f91a29d6f93c119332e92f9146c8d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0882",
    "kind": "arxiv",
    "version": 1
  }
}