Pith Number

pith:MVEWA25F

pith:2011:MVEWA25FQQADWXVYG62ZHJDWOU

not attested not anchored not stored refs pending

Rate of convergence of a two-scale expansion for some "weakly" stochastic homogenization problems

C. Le Bris, F. Legoll, F. Thomines

arxiv:1110.5206 v1 · 2011-10-24 · math.AP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MVEWA25FQQADWXVYG62ZHJDWOU}

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	2026-05-18T04:10:24.437540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6549606ba584003b5eb837b593a476753aba01efcf75c00f990c6d782540e6b5

Aliases

arxiv: 1110.5206 · arxiv_version: 1110.5206v1 · doi: 10.48550/arxiv.1110.5206 · pith_short_12: MVEWA25FQQAD · pith_short_16: MVEWA25FQQADWXVY · pith_short_8: MVEWA25F

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/MVEWA25FQQADWXVYG62ZHJDWOU \
  | 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: 6549606ba584003b5eb837b593a476753aba01efcf75c00f990c6d782540e6b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b688249027a8232c224c1fc806d196bdd65ce3c6d37a71a294109003d997e41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-10-24T12:09:50Z",
    "title_canon_sha256": "56a21214ca31972bf38385c62c67849361ec5a8ae6da8cd5a72a85818afb780b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.5206",
    "kind": "arxiv",
    "version": 1
  }
}