Pith Number

pith:WVWT73CJ

pith:2026:WVWT73CJSKVPDEZPTIRX3CHDQA

not attested not anchored not stored refs pending

When do perturbed Chebyshev--Lobatto points remain Chebyshev?

Hao-Ning Wu

arxiv:2606.23409 v1 · 2026-06-22 · 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{WVWT73CJSKVPDEZPTIRX3CHDQA}

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	2026-06-23T03:14:19.270447Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b56d3fec4992aaf1932f9a237d88e3802fa15c657c98065c76c50f3198da5ade

Aliases

arxiv: 2606.23409 · arxiv_version: 2606.23409v1 · doi: 10.48550/arxiv.2606.23409 · pith_short_12: WVWT73CJSKVP · pith_short_16: WVWT73CJSKVPDEZP · pith_short_8: WVWT73CJ

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/WVWT73CJSKVPDEZPTIRX3CHDQA \
  | 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: b56d3fec4992aaf1932f9a237d88e3802fa15c657c98065c76c50f3198da5ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "74910d1cd98a2ecc96b453013dd377657b19f1f2d945efa4dfeac12fd8c15b0d",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-06-22T14:34:30Z",
    "title_canon_sha256": "8ad337bb1797a9c2b05ad88ad7110c4eb9675dc09cfdce4d09812e30c8b67799"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.23409",
    "kind": "arxiv",
    "version": 1
  }
}