Pith Number

pith:ONFLR7XT

pith:2016:ONFLR7XTLKXIWVK456QRWBBA6U

not attested not anchored not stored refs pending

A Two scale $\Gamma$-convergence Approach for Random Non-Convex Homogenization

Etienne Sandier, Leonid Berlyand, Sylvia Serfaty

arxiv:1601.04344 v4 · 2016-01-17 · math.AP · 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{ONFLR7XTLKXIWVK456QRWBBA6U}

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	2026-05-18T00:38:40.090379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

734ab8fef35aae8b555cefa11b0420f51bb438a9b755f066412a8b22cf88f58f

Aliases

arxiv: 1601.04344 · arxiv_version: 1601.04344v4 · doi: 10.48550/arxiv.1601.04344 · pith_short_12: ONFLR7XTLKXI · pith_short_16: ONFLR7XTLKXIWVK4 · pith_short_8: ONFLR7XT

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/ONFLR7XTLKXIWVK456QRWBBA6U \
  | 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: 734ab8fef35aae8b555cefa11b0420f51bb438a9b755f066412a8b22cf88f58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "866dbd0ae38c29e1b8282428dbabb7be9310e0df998c1fedfdeca0a72e767944",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-17T20:47:34Z",
    "title_canon_sha256": "ce772624aea735cf21d11784b4474cd68af9dd02f288c074877737809b44c5ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04344",
    "kind": "arxiv",
    "version": 4
  }
}