Pith Number

pith:MOP7CU4T

pith:2026:MOP7CU4TBOBPGBKZ4FVOQ4HUEU

not attested not anchored not stored refs pending

Anti-Gauss Lagrange interpolation: Christoffel-Darboux form, barycentric representation, and orthogonal expansion

Luisa Fermo, Patricia D\'iaz de Alba, Valerio Loi

arxiv:2606.18018 v1 · 2026-06-16 · 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{MOP7CU4TBOBPGBKZ4FVOQ4HUEU}

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	2026-06-19T16:10:45.959507Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639ff153930b82f30559e16ae870f425197c88c67efbebebeb47d82b43f83657

Aliases

arxiv: 2606.18018 · arxiv_version: 2606.18018v1 · doi: 10.48550/arxiv.2606.18018 · pith_short_12: MOP7CU4TBOBP · pith_short_16: MOP7CU4TBOBPGBKZ · pith_short_8: MOP7CU4T

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/MOP7CU4TBOBPGBKZ4FVOQ4HUEU \
  | 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: 639ff153930b82f30559e16ae870f425197c88c67efbebebeb47d82b43f83657

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "556c6c624bef75d76c0181c17b183e43d0e6dfee34ade02e2b4a503e36ef8656",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-16T15:00:09Z",
    "title_canon_sha256": "4fe7b5cf3e3c4513ea0385de6ac9c232fd633e0da935342ef13c1515efb5f86a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.18018",
    "kind": "arxiv",
    "version": 1
  }
}