Pith Number

pith:4GZEF7KJ

pith:2018:4GZEF7KJZNNAJ2WKUVB7K465M2

not attested not anchored not stored refs pending

Quantitative Estimates on Periodic Homogenization of Nonlinear Elliptic Operators

Li Wang, Peihao Zhao, Qiang Xu

arxiv:1807.10865 v1 · 2018-07-28 · 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{4GZEF7KJZNNAJ2WKUVB7K465M2}

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	2026-05-18T00:09:37.199224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1b242fd49cb5a04eacaa543f573dd669346cb5331e057ae9b5765549cf224f9

Aliases

arxiv: 1807.10865 · arxiv_version: 1807.10865v1 · doi: 10.48550/arxiv.1807.10865 · pith_short_12: 4GZEF7KJZNNA · pith_short_16: 4GZEF7KJZNNAJ2WK · pith_short_8: 4GZEF7KJ

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/4GZEF7KJZNNAJ2WKUVB7K465M2 \
  | 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: e1b242fd49cb5a04eacaa543f573dd669346cb5331e057ae9b5765549cf224f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef9b795fce08ebb4e9963aa332fddaa4869fb6fee24d70cad34fda7ff4e9f3f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-07-28T01:21:10Z",
    "title_canon_sha256": "74c27d9027a6a1088400133de0c97a8800a778931295e5c22348255930d3bf3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.10865",
    "kind": "arxiv",
    "version": 1
  }
}