Pith Number

pith:KMIKNZ7H

pith:2025:KMIKNZ7HDJRFBNP7HWQ4NQHCYL

not attested not anchored not stored refs pending

Theory-to-Practice Gap for Neural Networks and Neural Operators

Margaret Trautner, Philipp Grohs, Samuel Lanthaler

arxiv:2503.18219 v1 · 2025-03-23 · cs.LG · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KMIKNZ7HDJRFBNP7HWQ4NQHCYL}

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	2026-07-05T10:38:05.458263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5310a6e7e71a6250b5ff3da1c6c0e2c2d1738728ae21df4f66777ce931ea7ba5

Aliases

arxiv: 2503.18219 · arxiv_version: 2503.18219v1 · doi: 10.48550/arxiv.2503.18219 · pith_short_12: KMIKNZ7HDJRF · pith_short_16: KMIKNZ7HDJRFBNP7 · pith_short_8: KMIKNZ7H

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/KMIKNZ7HDJRFBNP7HWQ4NQHCYL \
  | 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: 5310a6e7e71a6250b5ff3da1c6c0e2c2d1738728ae21df4f66777ce931ea7ba5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b24ce2e6ebe507cdc6a459628a38b9704fc3e8dfc9f0e2f7a77308c793aae95c",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2025-03-23T21:45:58Z",
    "title_canon_sha256": "95eac257938c5b224d8b97ed78aa2f58a003b16c6dbfbd9c553f3549782ba85f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2503.18219",
    "kind": "arxiv",
    "version": 1
  }
}