Pith Number

pith:Z4NAXLAY

pith:2013:Z4NAXLAYQDNJQFF3S7K3JQXFHP

not attested not anchored not stored refs pending

Multi-Level Monte Carlo approaches for numerical homogenization

Cornelia Kronsbein, Frederic Legoll, Yalchin Efendiev

arxiv:1301.2798 v1 · 2013-01-13 · math.NA · 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{Z4NAXLAYQDNJQFF3S7K3JQXFHP}

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	2026-05-18T03:36:35.174634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf1a0bac1880da9814bb97d5b4c2e53bfb08a529c9aef448c0e5e8648bd672e5

Aliases

arxiv: 1301.2798 · arxiv_version: 1301.2798v1 · doi: 10.48550/arxiv.1301.2798 · pith_short_12: Z4NAXLAYQDNJ · pith_short_16: Z4NAXLAYQDNJQFF3 · pith_short_8: Z4NAXLAY

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/Z4NAXLAYQDNJQFF3S7K3JQXFHP \
  | 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: cf1a0bac1880da9814bb97d5b4c2e53bfb08a529c9aef448c0e5e8648bd672e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05fb8ecf5c236ceb5b3d714964ae7a1c8a7dd85f47c758c9a982b93ef9da635d",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-01-13T17:29:34Z",
    "title_canon_sha256": "6f8e2b06091df0a0b20cb909fd517fa90577429e989807aaa5477190c52bc80f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2798",
    "kind": "arxiv",
    "version": 1
  }
}