Pith Number

pith:2CDKUQBL

pith:2024:2CDKUQBLPU6TSXDRR37YMZRLYE

not attested not anchored not stored refs pending

First Order System Least Squares Neural Networks

Christoph Schwab, Joost A. A. Opschoor, Philipp C. Petersen

arxiv:2409.20264 v1 · 2024-09-30 · math.NA · cs.LG · 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{2CDKUQBLPU6TSXDRR37YMZRLYE}

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.

Cited by

1 paper in Pith

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

Receipt and verification

First computed	2026-07-05T09:13:41.104139Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d086aa402b7d3d395c718eff86662bc12bddecd574cacf0616fdfb3ca2cdd433

Aliases

arxiv: 2409.20264 · arxiv_version: 2409.20264v1 · doi: 10.48550/arxiv.2409.20264 · pith_short_12: 2CDKUQBLPU6T · pith_short_16: 2CDKUQBLPU6TSXDR · pith_short_8: 2CDKUQBL

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/2CDKUQBLPU6TSXDRR37YMZRLYE \
  | 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: d086aa402b7d3d395c718eff86662bc12bddecd574cacf0616fdfb3ca2cdd433

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "044f34379082cbd5ac273458992a7085c435e81526383593c4433294a0ca6612",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-09-30T13:04:35Z",
    "title_canon_sha256": "5cb265eb0cc56350cf63a0d4544a71ece45e21d0abd167617d3db77da16aa58d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.20264",
    "kind": "arxiv",
    "version": 1
  }
}