Pith Number

pith:HJDKL3OF

pith:2026:HJDKL3OFFTXYY2YVH4UFEK7W3D

not attested not anchored not stored refs pending

Approximation by short exponential sums with geometric error decay based on Gauss quadrature

Annie Cuyt, Gerlind Plonka, Yannick Riebe

arxiv:2606.03855 v1 · 2026-06-02 · 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{HJDKL3OFFTXYY2YVH4UFEK7W3D}

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	2026-06-03T02:06:04.352638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a46a5edc52cef8c6b153f28522bf6d8f379e44454df12f1283ade9cce231cf3

Aliases

arxiv: 2606.03855 · arxiv_version: 2606.03855v1 · doi: 10.48550/arxiv.2606.03855 · pith_short_12: HJDKL3OFFTXY · pith_short_16: HJDKL3OFFTXYY2YV · pith_short_8: HJDKL3OF

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/HJDKL3OFFTXYY2YVH4UFEK7W3D \
  | 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: 3a46a5edc52cef8c6b153f28522bf6d8f379e44454df12f1283ade9cce231cf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c2a61b97d75628c1f5871ffbc2e0823948164ec80d810c8f928dca296cd982f",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-02T16:31:33Z",
    "title_canon_sha256": "53b3d18d1909687c00ec53c4c5d1233d0a5272d731ceeeca2234c59f7392fc19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.03855",
    "kind": "arxiv",
    "version": 1
  }
}