Pith Number

pith:KO5C4K32

pith:2021:KO5C4K32GSFIOWUNZQGZFTZWF2

not attested not anchored not stored refs pending

A rate of convergence of Physics Informed Neural Networks for the linear second order elliptic PDEs

Dingwei Li, Fengru Wang, Jerry Zhijian Yang, Xiliang Lu, Yang Wang, Yanming Lai, Yuling Jiao

arxiv:2109.01780 v2 · 2021-09-04 · math.NA · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KO5C4K32GSFIOWUNZQGZFTZWF2}

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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.

Cited by

1 paper in Pith

Posterior Concentration of Bayesian Physics-Informed Neural Networks for Elliptic PDEs

Receipt and verification

First computed	2026-07-05T04:13:40.993957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53ba2e2b7a348a875a8dcc0d92cf362e929f82ff68b65bf9c2f8c13ae4623c36

Aliases

arxiv: 2109.01780 · arxiv_version: 2109.01780v2 · doi: 10.48550/arxiv.2109.01780 · pith_short_12: KO5C4K32GSFI · pith_short_16: KO5C4K32GSFIOWUN · pith_short_8: KO5C4K32

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/KO5C4K32GSFIOWUNZQGZFTZWF2 \
  | 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: 53ba2e2b7a348a875a8dcc0d92cf362e929f82ff68b65bf9c2f8c13ae4623c36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "809244bdcb1a69b1da97572b04408ca62e35168649574b63a07b8ff47fa0f6e9",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2021-09-04T03:46:52Z",
    "title_canon_sha256": "57033e0fc796e9d7cf0f611b8bb80875f2ad561b7ba65e315987a93232ad89a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2109.01780",
    "kind": "arxiv",
    "version": 2
  }
}