Pith Number

pith:XB2VCZYR

pith:2026:XB2VCZYRFK3IISBW5T6TWCXCD6

not attested not anchored not stored refs pending

Learning solution operators of PDEs with sparse approximation methods

Daniel Potts, Fabian Taubert, Sebastian Neumayer

arxiv:2606.06046 v1 · 2026-06-04 · math.NA · cs.LG · 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{XB2VCZYRFK3IISBW5T6TWCXCD6}

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	2026-06-05T01:15:31.473102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8755167112ab6844836ecfd3b0ae21fb28a610713e5e0df6b73f24203c22160

Aliases

arxiv: 2606.06046 · arxiv_version: 2606.06046v1 · doi: 10.48550/arxiv.2606.06046 · pith_short_12: XB2VCZYRFK3I · pith_short_16: XB2VCZYRFK3IISBW · pith_short_8: XB2VCZYR

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/XB2VCZYRFK3IISBW5T6TWCXCD6 \
  | 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: b8755167112ab6844836ecfd3b0ae21fb28a610713e5e0df6b73f24203c22160

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d74f0ad7cbd021905ac89a38d546b97eec26d1154c71882723d62e485338f8e",
    "cross_cats_sorted": [
      "cs.LG",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-04T11:42:09Z",
    "title_canon_sha256": "f552b762fc55c0916d46171b8215d8d82cffadb6b5693d680df1bc90c3910b8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.06046",
    "kind": "arxiv",
    "version": 1
  }
}