Pith Number

pith:NJWQBUXX

pith:2015:NJWQBUXXZOGNYOVMKFBEKUND6L

not attested not anchored not stored refs pending

Some variance reduction methods for numerical stochastic homogenization

Claude Le Bris, Frederic Legoll, Xavier Blanc

arxiv:1509.02389 v1 · 2015-09-08 · 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{NJWQBUXXZOGNYOVMKFBEKUND6L}

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	2026-05-18T01:16:18.184190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a6d00d2f7cb8cdc3aac51424551a3f2cc47ec1507246662de205edfc49ecc99

Aliases

arxiv: 1509.02389 · arxiv_version: 1509.02389v1 · doi: 10.48550/arxiv.1509.02389 · pith_short_12: NJWQBUXXZOGN · pith_short_16: NJWQBUXXZOGNYOVM · pith_short_8: NJWQBUXX

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/NJWQBUXXZOGNYOVMKFBEKUND6L \
  | 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: 6a6d00d2f7cb8cdc3aac51424551a3f2cc47ec1507246662de205edfc49ecc99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c9546b0673fae3528cf6b20282d25c66cfee8d7f308eb9d96c48f0e41b84195",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-09-08T14:33:32Z",
    "title_canon_sha256": "9c312bb161da9eec25b67620bb20f7833f25c719ecb0782fb9c2349b12d69ab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.02389",
    "kind": "arxiv",
    "version": 1
  }
}