Pith Number

pith:6WD7JJVX

pith:2021:6WD7JJVXDQDANGQM2MOSWOCENK

not attested not anchored not stored refs pending

A reduced order Schwarz method for nonlinear multiscale elliptic equations based on two-layer neural networks

Qin Li, Shi Chen, Stephen J. Wright, Zhiyan Ding

arxiv:2111.02280 v2 · 2021-11-03 · math.NA · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6WD7JJVXDQDANGQM2MOSWOCENK}

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	2026-07-05T10:25:01.373703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f587f4a6b71c06069a0cd31d2b38446a80900ec40c44479b2a784b528c6f06f9

Aliases

arxiv: 2111.02280 · arxiv_version: 2111.02280v2 · doi: 10.48550/arxiv.2111.02280 · pith_short_12: 6WD7JJVXDQDA · pith_short_16: 6WD7JJVXDQDANGQM · pith_short_8: 6WD7JJVX

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/6WD7JJVXDQDANGQM2MOSWOCENK \
  | 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: f587f4a6b71c06069a0cd31d2b38446a80900ec40c44479b2a784b528c6f06f9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "36c780dfc603fa354c33a0f1bca84a8a56abf4ffa76df42496221ddae1b2a446",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-11-03T15:17:12Z",
    "title_canon_sha256": "71dace0d34948e01154fbc2d84b89982731277e366ad0934a194c729a8c3ac91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02280",
    "kind": "arxiv",
    "version": 2
  }
}