Pith Number

pith:NTILMP6X

pith:2025:NTILMP6X4Y6FHILE7U5QQ3VXRP

not attested not anchored not stored refs pending

Sparse grids vs. random points for high-dimensional polynomial approximation

Elias Mindlberger, Jakob Eggl, Mario Ullrich

arxiv:2506.24054 v1 · 2025-06-30 · 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{NTILMP6X4Y6FHILE7U5QQ3VXRP}

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	2026-07-05T11:29:32.388019Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd0b63fd7e63c53a164fd3b086eb78bf8bd894fd89a76e500257c8e831cfdae

Aliases

arxiv: 2506.24054 · arxiv_version: 2506.24054v1 · doi: 10.48550/arxiv.2506.24054 · pith_short_12: NTILMP6X4Y6F · pith_short_16: NTILMP6X4Y6FHILE · pith_short_8: NTILMP6X

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/NTILMP6X4Y6FHILE7U5QQ3VXRP \
  | 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: 6cd0b63fd7e63c53a164fd3b086eb78bf8bd894fd89a76e500257c8e831cfdae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ac61a6094917599615410176c1200c6588e89158a52f78b871b7ecc1624464e",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2025-06-30T16:59:26Z",
    "title_canon_sha256": "d1d7981ef0b5b2b6852bbd2d2c0487f1a55538043a54fc39bd4a55d9d40f42ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.24054",
    "kind": "arxiv",
    "version": 1
  }
}