Pith Number

pith:WWZRHSLC

pith:2021:WWZRHSLCYFCZD3W2T4FCAXUHEF

not attested not anchored not stored refs pending

Convergence Rate Analysis for Deep Ritz Method

Chenguang Duan, Xiliang Lu, Yanming Lai, Yuling Jiao, Zhijian Yang

arxiv:2103.13330 v2 · 2021-03-24 · 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{WWZRHSLCYFCZD3W2T4FCAXUHEF}

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	2026-07-05T04:13:22.694065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5b313c962c14591eeda9f0a205e87217fc944984a84db5303d863d06e9ac349

Aliases

arxiv: 2103.13330 · arxiv_version: 2103.13330v2 · doi: 10.48550/arxiv.2103.13330 · pith_short_12: WWZRHSLCYFCZ · pith_short_16: WWZRHSLCYFCZD3W2 · pith_short_8: WWZRHSLC

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/WWZRHSLCYFCZD3W2T4FCAXUHEF \
  | 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: b5b313c962c14591eeda9f0a205e87217fc944984a84db5303d863d06e9ac349

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ee3982a3e69350ee03597a49995a0ec2fdfd1c7f6700fe3c0a6c4ef36368c8f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-03-24T16:30:23Z",
    "title_canon_sha256": "73a8ec9f9e4fcaf0b10084129d3872746dd28cff11e4b94d7f2fe71b4357da03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.13330",
    "kind": "arxiv",
    "version": 2
  }
}