Pith Number

pith:FTQ4KHFM

pith:2026:FTQ4KHFMRVESGEXFWWCXISYXDM

not attested not anchored not stored refs pending

Lightning Plus Polynomial Approximation: Optimal Root-Exponential Convergence for Singular Functions in Corner Domains

Jun Xiang, Shuhuang Xiang, Shunfeng Yang, Yuee Zhong

arxiv:2605.30796 v1 · 2026-05-29 · 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{FTQ4KHFMRVESGEXFWWCXISYXDM}

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	2026-06-01T01:03:17.340879Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2ce1c51cac8d492312e5b585744b171b0ab33eacd257bff5c4b37f77b9d23b00

Aliases

arxiv: 2605.30796 · arxiv_version: 2605.30796v1 · doi: 10.48550/arxiv.2605.30796 · pith_short_12: FTQ4KHFMRVES · pith_short_16: FTQ4KHFMRVESGEXF · pith_short_8: FTQ4KHFM

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/FTQ4KHFMRVESGEXFWWCXISYXDM \
  | 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: 2ce1c51cac8d492312e5b585744b171b0ab33eacd257bff5c4b37f77b9d23b00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cdd1f76fef938aaf678e1da8b40a84819527bf203e05440e19f9abb2e7a82ad",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2026-05-29T03:38:23Z",
    "title_canon_sha256": "fede8d5e944490fe123ea62066d5e7fd7b1d4226a34904586c38e9009e5e744e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.30796",
    "kind": "arxiv",
    "version": 1
  }
}