Pith Number

pith:2MUYDPCP

pith:2025:2MUYDPCPCK3DHUHWTVFA2MKJKO

not attested not anchored not stored refs pending

Consistency of Learned Sparse Grid Quadrature Rules using NeuralODEs

Emil Partow, Hanno Gottschalk, Tobias J. Riedlinger

arxiv:2507.01533 v2 · 2025-07-02 · math.NA · cs.LG · cs.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MUYDPCPCK3DHUHWTVFA2MKJKO}

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	2026-05-20T00:05:30.483926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d32981bc4f12b633d0f69d4a0d314953ba8accdc2ae095cedb1d94df59156fda

Aliases

arxiv: 2507.01533 · arxiv_version: 2507.01533v2 · doi: 10.48550/arxiv.2507.01533 · pith_short_12: 2MUYDPCPCK3D · pith_short_16: 2MUYDPCPCK3DHUHW · pith_short_8: 2MUYDPCP

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/2MUYDPCPCK3DHUHWTVFA2MKJKO \
  | 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: d32981bc4f12b633d0f69d4a0d314953ba8accdc2ae095cedb1d94df59156fda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eec37aeda2760a86eeee7ade4858626f896fdf9d4493c691579d7cded8e4484",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-07-02T09:37:16Z",
    "title_canon_sha256": "007f5e2b9ee72ee8e4e0af5dadcad7b73e2107a077199214c183626d9a9f7892"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.01533",
    "kind": "arxiv",
    "version": 2
  }
}