Pith Number

pith:FYEHLMJJ

pith:2025:FYEHLMJJ2VBZNTPPSURS2OLZFP

not attested not anchored not stored refs pending

Learning to Integrate

Hanno Gottschalk, Oliver G. Ernst, Patrick Kr\"uger, Toni Kowalewitz

arxiv:2506.11801 v1 · 2025-06-13 · math.NA · 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{FYEHLMJJ2VBZNTPPSURS2OLZFP}

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

Consistency of Learned Sparse Grid Quadrature Rules using NeuralODEs

Receipt and verification

First computed	2026-07-05T11:21:11.044897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e0875b129d54396cdef95232d39792be2b9ac159ba0e2699e6924ef2c0a7d21

Aliases

arxiv: 2506.11801 · arxiv_version: 2506.11801v1 · doi: 10.48550/arxiv.2506.11801 · pith_short_12: FYEHLMJJ2VBZ · pith_short_16: FYEHLMJJ2VBZNTPP · pith_short_8: FYEHLMJJ

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/FYEHLMJJ2VBZNTPPSURS2OLZFP \
  | 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: 2e0875b129d54396cdef95232d39792be2b9ac159ba0e2699e6924ef2c0a7d21

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7c08e9a6bcaee9460c7aaa100a7fbeb1383ac27ab3e7408135c8d284c40450b",
    "cross_cats_sorted": [
      "cs.NA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-13T14:05:06Z",
    "title_canon_sha256": "512edb168f1de2d0a6fb16e8801329d418bae32ebcc80b270f3b4147b5ee8d52"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11801",
    "kind": "arxiv",
    "version": 1
  }
}