Pith Number

pith:HHCPOOER

pith:2013:HHCPOOER5BXC4CPOGNZH4SWEK3

not attested not anchored not stored refs pending

Variance reduction using antithetic variables for a nonlinear convex stochastic homogenization problem

Frederic Legoll, William Minvielle

arxiv:1302.0038 v1 · 2013-01-31 · 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{HHCPOOER5BXC4CPOGNZH4SWEK3}

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	2026-05-18T03:34:47.668834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39c4f73891e86e2e09ee33727e4ac456eab5afb8551c3267179b0b4729bf7c2d

Aliases

arxiv: 1302.0038 · arxiv_version: 1302.0038v1 · doi: 10.48550/arxiv.1302.0038 · pith_short_12: HHCPOOER5BXC · pith_short_16: HHCPOOER5BXC4CPO · pith_short_8: HHCPOOER

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/HHCPOOER5BXC4CPOGNZH4SWEK3 \
  | 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: 39c4f73891e86e2e09ee33727e4ac456eab5afb8551c3267179b0b4729bf7c2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92fd7414f17985b848a429aa8e89589b65012de8bc3c08dc4f8fdef03df96f75",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-01-31T23:23:16Z",
    "title_canon_sha256": "3c3edcadbf4fc9d210f8ad8ea6afb612c3127903d5bceb8a3a6d145eabf31152"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0038",
    "kind": "arxiv",
    "version": 1
  }
}