Pith Number

pith:XWISMDN5

pith:2023:XWISMDN5WDEDS5ALYFNL4G62H2

not attested not anchored not stored refs pending

PINNs error estimates for nonlinear equations in $\mathbb{R}$-smooth Banach spaces

Jiexing Gao, Yurii Zakharian

arxiv:2305.11915 v3 · 2023-05-18 · math.FA · cs.LG · cs.NA · math.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{XWISMDN5WDEDS5ALYFNL4G62H2}

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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

Prediction error certification for PINNs: Theory, computation, and application to Stokes flow

Receipt and verification

First computed	2026-07-05T08:28:00.867820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd91260dbdb0c839740bc15abe1bda3e9a16b937f563df86d947ec1e347c5b0e

Aliases

arxiv: 2305.11915 · arxiv_version: 2305.11915v3 · doi: 10.48550/arxiv.2305.11915 · pith_short_12: XWISMDN5WDED · pith_short_16: XWISMDN5WDEDS5AL · pith_short_8: XWISMDN5

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/XWISMDN5WDEDS5ALYFNL4G62H2 \
  | 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: bd91260dbdb0c839740bc15abe1bda3e9a16b937f563df86d947ec1e347c5b0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae850710a5f5f6a98bfd82bee7305ee3ab27da46547bfa288de390395d4529c",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2023-05-18T14:51:00Z",
    "title_canon_sha256": "01e88c848150e2f75f612b9baf919227e3a2d50b00ebd2ecd107e5a17107e364"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.11915",
    "kind": "arxiv",
    "version": 3
  }
}