Pith Number

pith:ZNBBZCEB

pith:2024:ZNBBZCEBXBMRDXWMAZ6PVDEPVB

not attested not anchored not stored refs pending

Variationally Correct Neural Residual Regression for Parametric PDEs: On the Viability of Controlled Accuracy

Markus Bachmayr, Mathias Oster, Wolfgang Dahmen

arxiv:2405.20065 v1 · 2024-05-30 · math.NA · cs.NA

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNBBZCEBXBMRDXWMAZ6PVDEPVB}

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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

A posteriori certification of PDE approximations with particular application to neural networks

Receipt and verification

First computed	2026-07-05T08:25:15.756893Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb421c8881b85911decc067cfa8c8fa84efd2401649f86ff0724325af7e58dc7

Aliases

arxiv: 2405.20065 · arxiv_version: 2405.20065v1 · doi: 10.48550/arxiv.2405.20065 · pith_short_12: ZNBBZCEBXBMR · pith_short_16: ZNBBZCEBXBMRDXWM · pith_short_8: ZNBBZCEB

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/ZNBBZCEBXBMRDXWMAZ6PVDEPVB \
  | 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: cb421c8881b85911decc067cfa8c8fa84efd2401649f86ff0724325af7e58dc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeb1f9236413a0da27ff38892a0d665c11cd41c6fc6e72a102325471dd92247b",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-05-30T13:56:38Z",
    "title_canon_sha256": "efa3a94bc9aac57c3e22c3ac44915bf32ebfdcee72917e4314d765aed546dbd2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.20065",
    "kind": "arxiv",
    "version": 1
  }
}