Pith Number

pith:YGZ5SDH6

pith:2012:YGZ5SDH634AOLAYLCQHZOXHJPP

not attested not anchored not stored refs pending

Quasi-Monte Carlo methods for integration of functions with dominating mixed smoothness in arbitrary dimension

Lev Markhasin

arxiv:1201.2311 v3 · 2012-01-11 · 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{YGZ5SDH634AOLAYLCQHZOXHJPP}

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	2026-05-18T02:58:46.761893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1b3d90cfedf00e5830b140f975ce97bf28893ed5bd0ae65a6d388e4725766de

Aliases

arxiv: 1201.2311 · arxiv_version: 1201.2311v3 · doi: 10.48550/arxiv.1201.2311 · pith_short_12: YGZ5SDH634AO · pith_short_16: YGZ5SDH634AOLAYL · pith_short_8: YGZ5SDH6

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/YGZ5SDH634AOLAYLCQHZOXHJPP \
  | 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: c1b3d90cfedf00e5830b140f975ce97bf28893ed5bd0ae65a6d388e4725766de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ac6982350b7eff380e312a49fd94ad21c6998a100ad934c4102d823271a4923",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2012-01-11T14:43:29Z",
    "title_canon_sha256": "45cd41063b5c799fd296aab5b316ace87565cd5eca97ecc68c1f52d00ebe802d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2311",
    "kind": "arxiv",
    "version": 3
  }
}