Pith Number

pith:DY2SZAO7

pith:2016:DY2SZAO7BEA3FUFWSO7EXXV37I

not attested not anchored not stored refs pending

Stochastic homogenization of linear elliptic equations: Higher-order error estimates in weak norms via second-order correctors

Benjamin Fehrman, Felix Otto, Julian Fischer, Peter Bella

arxiv:1609.01528 v2 · 2016-09-06 · 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{DY2SZAO7BEA3FUFWSO7EXXV37I}

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	2026-05-18T01:00:05.413384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e352c81df0901b2d0b693be4bdebbfa2f5940552da1620da8475f8b142b41ea

Aliases

arxiv: 1609.01528 · arxiv_version: 1609.01528v2 · doi: 10.48550/arxiv.1609.01528 · pith_short_12: DY2SZAO7BEA3 · pith_short_16: DY2SZAO7BEA3FUFW · pith_short_8: DY2SZAO7

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/DY2SZAO7BEA3FUFWSO7EXXV37I \
  | 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: 1e352c81df0901b2d0b693be4bdebbfa2f5940552da1620da8475f8b142b41ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffbbe9610db1138988283eb6db23ff33c3b56fdbd79fc76efb6e495847aadacf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-06T12:57:07Z",
    "title_canon_sha256": "b6ec3e8725d807ac7b9c0506850b253a4e4e4131c2702ca15b3a3dcb1bca07ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.01528",
    "kind": "arxiv",
    "version": 2
  }
}