Pith Number

pith:ULJE6D7I

pith:2024:ULJE6D7IGU5RP4CSU5XXBWAXPE

not attested not anchored not stored refs pending

Kernel Methods in the Deep Ritz framework: Theory and practice

Hendrik Kleikamp, Tizian Wenzel

arxiv:2410.03503 v2 · 2024-10-04 · math.NA · 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{ULJE6D7IGU5RP4CSU5XXBWAXPE}

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	2026-06-03T01:05:03.676494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2d24f0fe8353b17f052a76f70d81779082c80f248549132ac2a8b525562d6e1

Aliases

arxiv: 2410.03503 · arxiv_version: 2410.03503v2 · doi: 10.48550/arxiv.2410.03503 · pith_short_12: ULJE6D7IGU5R · pith_short_16: ULJE6D7IGU5RP4CS · pith_short_8: ULJE6D7I

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/ULJE6D7IGU5RP4CSU5XXBWAXPE \
  | 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: a2d24f0fe8353b17f052a76f70d81779082c80f248549132ac2a8b525562d6e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0d17610410ca7dd2752d0b092a6a4bdcbef98d8407015fd669dc38dac8e1ef68",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2024-10-04T15:17:37Z",
    "title_canon_sha256": "35a564325aee9a834fb413994c608230ab6ce9a4833ef8dc3f4964408dd49604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2410.03503",
    "kind": "arxiv",
    "version": 2
  }
}