Pith Number

pith:AQF6AMMC

pith:2026:AQF6AMMCKOR664KSN766TRJNOP

not attested not anchored not stored refs pending

Operator Neural Jump ODEs: $L^2$-optimal prediction in function spaces

Florian Krach, Josef Teichmann, Oliver L\"othgren

arxiv:2607.23110 v1 · 2026-07-25 · stat.ML · cs.LG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AQF6AMMCKOR664KSN766TRJNOP}

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	2026-07-28T01:22:07.193016Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

040be0318253a3ef71526ffde9c52d73e7ad1831bd4b026e3a409561a918db6a

Aliases

arxiv: 2607.23110 · arxiv_version: 2607.23110v1 · doi: 10.48550/arxiv.2607.23110 · pith_short_12: AQF6AMMCKOR6 · pith_short_16: AQF6AMMCKOR664KS · pith_short_8: AQF6AMMC

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/AQF6AMMCKOR664KSN766TRJNOP \
  | 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: 040be0318253a3ef71526ffde9c52d73e7ad1831bd4b026e3a409561a918db6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb727300d9d5741de59ba35c04cfe3862a14b5653e728870ccc9b7769ff8ccda",
    "cross_cats_sorted": [
      "cs.LG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "stat.ML",
    "submitted_at": "2026-07-25T08:45:45Z",
    "title_canon_sha256": "edb92831f5799e1ba892687ac17bfc868e41de6219f3e7eda76aecbe1fc409d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23110",
    "kind": "arxiv",
    "version": 1
  }
}